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40853403712 = 2611238928349
BaseRepresentation
bin100110000011000011…
…010111100001000000
310220110010212221022101
4212003003113201000
51132131432404322
630433502120144
72644246126162
oct460303274100
9126403787271
1040853403712
1116364754970
127b01880054
133b10b12b84
141d97a78932
1510e18ac327
hex9830d7840

40853403712 has 112 divisors (see below), whose sum is σ = 93323664000. Its totient is φ = 17562152960.

The previous prime is 40853403707. The next prime is 40853403737. The reversal of 40853403712 is 21730435804.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1426914 + ... + 1455262.

It is an arithmetic number, because the mean of its divisors is an integer number (833247000).

Almost surely, 240853403712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40853403712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46661832000).

40853403712 is an abundant number, since it is smaller than the sum of its proper divisors (52470260288).

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

40853403712 is a wasteful number, since it uses less digits than its factorization.

40853403712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28484 (or 28474 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 40853403712 in words is "forty billion, eight hundred fifty-three million, four hundred three thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 89 92 176 178 184 253 352 356 368 506 704 712 736 979 1012 1424 1472 1958 2024 2047 2848 3916 4048 4094 5696 7832 8096 8188 15664 16192 16376 22517 28349 31328 32752 45034 56698 62656 65504 90068 113396 131008 180136 226792 311839 360272 453584 623678 652027 720544 907168 1247356 1304054 1441088 1814336 2494712 2523061 2608108 4989424 5046122 5216216 7172297 9978848 10092244 10432432 14344594 19957696 20184488 20864864 27753671 28689188 40368976 41729728 55507342 57378376 58030403 80737952 111014684 114756752 116060806 161475904 222029368 229513504 232121612 444058736 459027008 464243224 638334433 888117472 928486448 1276668866 1776234944 1856972896 2553337732 3713945792 5106675464 10213350928 20426701856 40853403712