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40231233213204 = 223112322359423293
BaseRepresentation
bin10010010010111000100000…
…10111010101001100010100
312021110001211211000022200010
421021130100113111030110
520233122031200310304
6221321550130320220
711321416314655245
oct1111342027251424
9167401754008603
1040231233213204
1111900a74360670
1246190ba729070
13195aa34601887
149d12b86dcccc
1549b7901b6789
hex2497105d5314

40231233213204 has 96 divisors (see below), whose sum is σ = 107338435190784. Its totient is φ = 11608934325120.

The previous prime is 40231233213167. The next prime is 40231233213211.

It is a happy number.

40231233213204 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29034619 + ... + 30388674.

It is an arithmetic number, because the mean of its divisors is an integer number (1118108699904).

Almost surely, 240231233213204 is an apocalyptic number.

40231233213204 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40231233213204 is an abundant number, since it is smaller than the sum of its proper divisors (67107201977580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40231233213204 is a wasteful number, since it uses less digits than its factorization.

40231233213204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59423557 (or 59423555 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

It can be divided in two parts, 4023123 and 3213204, that added together give a palindrome (7236327).

The spelling of 40231233213204 in words is "forty trillion, two hundred thirty-one billion, two hundred thirty-three million, two hundred thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 223 253 276 446 506 669 759 892 1012 1338 1518 2453 2676 3036 4906 5129 7359 9812 10258 14718 15387 20516 29436 30774 56419 61548 112838 169257 225676 338514 677028 59423293 118846586 178269879 237693172 356539758 653656223 713079516 1307312446 1366735739 1960968669 2614624892 2733471478 3921937338 4100207217 5466942956 7843874676 8200414434 13251394339 15034093129 16400828868 26502788678 30068186258 39754183017 45102279387 53005577356 60136372516 79508366034 90204558774 145765337729 159016732068 180409117548 291530675458 304782069797 437296013187 583061350916 609564139594 874592026374 914346209391 1219128279188 1749184052748 1828692418782 3352602767767 3657384837564 6705205535534 10057808303301 13410411071068 20115616606602 40231233213204