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3423140129929 = 13231245912
BaseRepresentation
bin110001110100000011000…
…011010010110010001001
3110010020201112002001011011
4301310003003102302021
5422041042333124204
611140322513003521
7502212414005542
oct61640303226211
913106645061134
103423140129929
1110aa8223a91a3
124735168535a1
131baa54281900
14bb9764234c9
155e09c8cc304
hex31d030d2c89

3423140129929 has 27 divisors (see below), whose sum is σ = 3830976879687. Its totient is φ = 3057225865200.

The previous prime is 3423140129923. The next prime is 3423140129951. The reversal of 3423140129929 is 9299210413243.

The square root of 3423140129929 is 1850173.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 506381676025 + 2916758453904 = 711605^2 + 1707852^2 .

It is a de Polignac number, because none of the positive numbers 2k-3423140129929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3423140129923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 745617424 + ... + 745622014.

It is an arithmetic number, because the mean of its divisors is an integer number (141888032581).

Almost surely, 23423140129929 is an apocalyptic number.

3423140129929 is the 1850173-rd square number.

3423140129929 is the 925087-th centered octagonal number.

It is an amenable number.

3423140129929 is a deficient number, since it is larger than the sum of its proper divisors (407836749758).

3423140129929 is an frugal number, since it uses more digits than its factorization.

3423140129929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9270 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

Multiplying 3423140129929 by its sum of digits (49), we get a square (167733866366521 = 129512112).

The spelling of 3423140129929 in words is "three trillion, four hundred twenty-three billion, one hundred forty million, one hundred twenty-nine thousand, nine hundred twenty-nine".

Divisors: 1 13 31 169 403 961 4591 5239 12493 59683 142321 162409 775879 1850173 4411951 21077281 24052249 57355363 274004653 653395711 745619719 3562060489 8494144243 20255267041 110423875159 263318471533 3423140129929