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431412420423104 = 26293157914570113
BaseRepresentation
bin110001000010111100000100…
…0000100100010110111000000
32002120111121212100011112112022
41202011320020010202313000
5423021230114112014404
64125312044021421012
7156604342644000641
oct14205701004426700
92076447770145468
10431412420423104
11115508a8648071a
124047674a86a768
131569502a86ab43
1478766889bb6c8
1534d20616828be
hex1885e08122dc0

431412420423104 has 56 divisors (see below), whose sum is σ = 859549888120560. Its totient is φ = 214833853661184.

The previous prime is 431412420423073. The next prime is 431412420423107. The reversal of 431412420423104 is 401324024214134.

It is a super-2 number, since 2×4314124204231042 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431412420423107) 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 7 ways as a sum of consecutive naturals, for example, 22324352 + ... + 36894464.

It is an arithmetic number, because the mean of its divisors is an integer number (15349105145010).

Almost surely, 2431412420423104 is an apocalyptic number.

It is an amenable number.

431412420423104 is a deficient number, since it is larger than the sum of its proper divisors (428137467697456).

431412420423104 is a wasteful number, since it uses less digits than its factorization.

431412420423104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14571997 (or 14571987 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

Adding to 431412420423104 its reverse (401324024214134), we get a palindrome (832736444637238).

The spelling of 431412420423104 in words is "four hundred thirty-one trillion, four hundred twelve billion, four hundred twenty million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 32 64 293 586 1172 1579 2344 3158 4688 6316 9376 12632 18752 25264 50528 101056 462647 925294 1850588 3701176 7402352 14570113 14804704 29140226 29609408 58280452 116560904 233121808 466243616 932487232 4269043109 8538086218 17076172436 23006208427 34152344872 46012416854 68304689744 92024833708 136609379488 184049667416 273218758976 368099334832 736198669664 1472397339328 6740819069111 13481638138222 26963276276444 53926552552888 107853105105776 215706210211552 431412420423104