About the Number 419 (four hundred nineteen)

419 was the smallest number without a nBAB on 2 May 2017.

MathBabbler Number Analyst (MBNA) output:
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419 is natural, counting, whole, integer
419 is odd (not even)
419 is not extremely odd
419 proper divisors are: 1,
419 has 1 proper divisors
419 is deficient (sum of divisors is 1; ratio: 0.00238663)
419 is unhappy
419 is a Squarefree Number
419 is prime (not composite)
...Sophie Germain prime with 839
...Twin prime with 421
...Truman Gerald (p+30) prime with 449
...Truman Gerald (p-30) prime with 389
...OEIS:002145 (4n+3; n=104)
...Left-truncatable prime
...Right-truncatable prime
...Eisenstein (3n-1; n=140)
...Strong prime
419 in octal is 0643
419 in hexadecimal is 0x1a3
419 in binary is 110100011 (is odious)
419 nearest square numbers: -19...22 (400...441 [21])
sqrt(419) = 20.4695
ln(419) = 6.03787
log(419) = 2.62221
419! is 2.80912e+918
419 is 133.372 Pi years
419 is 20 score and 19 years
419 written as a Roman numeral is CDXIX
419 is 210^2 - 209^2 and 210 + 209 = 419
419 is a multiple of 1 & it contains a 1 (A011531)
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419 reciprocal is 0.0023866348448687350835322195704057279236276849642004773269689737470167064439140811455847255369928400954653937947494033412887828162291169451073985680190930787589498806682577565632458233890214797136038186157517899761336515513126491646778042959427207637231503579952267303102625298329355608591885441527446300715990453460620525059665871121718377088305489260143198090692124105011933174224343675417661097852028639618138424821
remainders: 
1,10,100,162,363,278,266,146,203,354,188,204,364,288,366,308,147,213,35,350,148,223,135,93,92,82,401,239,295,17,170,24,240,305,117,332,387,99,152,263,116,322,287,356,208,404,269,176,84,2,20,200,324,307,137,113,292,406,289,376,408,309,157,313,197,294,7,70,281,296,27,270,186,184,164,383,59,171,34,340,48,61,191,234,245,355,198,304,107,232,225,155,293,416,389,119,352,168,4,40,400,229,195,274,226,165,393,159,333,397,199,314,207,394,169,14,140,143,173,54,121,372,368,328,347,118,342,68,261,96,122,382,49,71,291,396,189,214,45,31,310,167,413,359,238,285,336,8,80,381,39,390,129,33,330,367,318,247,375,398,209,414,369,338,28,280,286,346,108,242,325,317,237,275,236,265,136,103,192,244,345,98,142,163,373,378,9,90,62,201,334,407,299,57,151,253,16,160,343,78,361,258,66,241,315,217,75,331,377,418,409,319,257,56,141,153,273,216,65,231,215,55,131,53,111,272,206,384,69,271,196,284,326,327,337,18,180,124,402,249,395,179,114,302,87,32,320,267,156,303,97,132,63,211,15,150,243,335,417,399,219,95,112,282,306,127,13,130,43,11,110,262,106,222,125,412,349,138,123,392,149,233,235,255,36,360,248,385,79,371,358,228,185,174,64,221,115,312,187,194,264,126,3,30,300,67,251,415,379,19,190,224,145,193,254,26,260,86,22,220,105,212,25,250,405,279,276,246,365,298,47,51,91,72,301,77,351,158,323,297,37,370,348,128,23,230,205,374,388,109,252,6,60,181,134,83,411,339,38,380,29,290,386,89,52,101,172,44,21,210,5,50,81,391,139,133,73,311,177,94,102,182,144,183,154,283,316,227,175,74,321,277,256,46,41,410,329,357,218,85,12,120,362,268,166,403,259,76,341,58,161,353,178,104,202,344,88,42,1

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 02 May 2017

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This work is licensed under a Creative Commons Attribution 3.0 United States License.