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40431141200424 = 23313231321555809
BaseRepresentation
bin10010011000101100110111…
…10011110010001000101000
312022011011211202011021100210
421030112123303302020220
520244410434121403144
6221553450532301120
711342024240554362
oct1114263363621050
9168134752137323
1040431141200424
1111978829196247
12464b9ab4717a0
131973842845900
149dac404abd32
154a1a90512ab9
hex24c59bcf2228

40431141200424 has 96 divisors (see below), whose sum is σ = 112981849401600. Its totient is φ = 12039049451520.

The previous prime is 40431141200423. The next prime is 40431141200467. The reversal of 40431141200424 is 42400214113404.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 40431141200391 and 40431141200400.

It is not an unprimeable number, because it can be changed into a prime (40431141200423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160652169 + ... + 160903640.

It is an arithmetic number, because the mean of its divisors is an integer number (1176894264600).

Almost surely, 240431141200424 is an apocalyptic number.

It is an amenable number.

40431141200424 is an abundant number, since it is smaller than the sum of its proper divisors (72550708201176).

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

40431141200424 is a wasteful number, since it uses less digits than its factorization.

40431141200424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321555875 (or 321555858 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 40431141200424 its reverse (42400214113404), we get a palindrome (82831355313828).

The spelling of 40431141200424 in words is "forty trillion, four hundred thirty-one billion, one hundred forty-one million, two hundred thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 312 338 372 403 507 676 744 806 1014 1209 1352 1612 2028 2418 3224 4056 4836 5239 9672 10478 15717 20956 31434 41912 62868 125736 321555809 643111618 964667427 1286223236 1929334854 2572446472 3858669708 4180225517 7717339416 8360451034 9968230079 12540676551 16720902068 19936460158 25081353102 29904690237 33441804136 39872920316 50162706204 54342931721 59809380474 79745840632 100325412408 108685863442 119618760948 129586991027 163028795163 217371726884 239237521896 259173982054 326057590326 388760973081 434743453768 518347964108 652115180652 777521946162 1036695928216 1304230361304 1555043892324 1684630883351 3110087784648 3369261766702 5053892650053 6738523533404 10107785300106 13477047066808 20215570600212 40431141200424