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40903032692928 = 2637100930162343
BaseRepresentation
bin10010100110011011110101…
…01110111110000011000000
312100211021212200020212011010
421103031322232332003000
520330123402332133203
6222554332132520520
711421101165222430
oct1123157256760300
9170737780225133
1040903032692928
111203a973684a5a
124707346a80140
1319a91a7443a13
14a15a085782c0
154adead5e9303
hex25337abbe0c0

40903032692928 has 112 divisors (see below), whose sum is σ = 123805563676160. Its totient is φ = 11674998042624.

The previous prime is 40903032692927. The next prime is 40903032693001. The reversal of 40903032692928 is 82929623030904.

40903032692928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (40903032692927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13725076 + ... + 16437267.

Almost surely, 240903032692928 is an apocalyptic number.

40903032692928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

40903032692928 is an abundant number, since it is smaller than the sum of its proper divisors (82902530983232).

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

40903032692928 is a wasteful number, since it uses less digits than its factorization.

40903032692928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30163374 (or 30163364 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 57.

The spelling of 40903032692928 in words is "forty trillion, nine hundred three billion, thirty-two million, six hundred ninety-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1009 1344 2018 3027 4036 6054 7063 8072 12108 14126 16144 21189 24216 28252 32288 42378 48432 56504 64576 84756 96864 113008 169512 193728 226016 339024 452032 678048 1356096 30162343 60324686 90487029 120649372 180974058 211136401 241298744 361948116 422272802 482597488 633409203 723896232 844545604 965194976 1266818406 1447792464 1689091208 1930389952 2533636812 2895584928 3378182416 5067273624 5791169856 6756364832 10134547248 13512729664 20269094496 30433804087 40538188992 60867608174 91301412261 121735216348 182602824522 213036628609 243470432696 365205649044 426073257218 486940865392 639109885827 730411298088 852146514436 973881730784 1278219771654 1460822596176 1704293028872 1947763461568 2556439543308 2921645192352 3408586057744 5112879086616 5843290384704 6817172115488 10225758173232 13634344230976 20451516346464 40903032692928