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40975088976 = 243454158441
BaseRepresentation
bin100110001010010011…
…100011110101010000
310220202121212012010000
4212022103203311100
51132404110321401
630453530210000
72650254336543
oct461223436520
9126677765100
1040975088976
11164174078a8
127b36583900
133b300a9ba3
141da9cb285a
1510ec3e7186
hex98a4e3d50

40975088976 has 100 divisors (see below), whose sum is σ = 118815040564. Its totient is φ = 13632883200.

The previous prime is 40975088939. The next prime is 40975089041. The reversal of 40975088976 is 67988057904.

40975088976 is a `hidden beast` number, since 40 + 9 + 7 + 508 + 89 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29241000000 + 11734088976 = 171000^2 + 108324^2 .

It is a super-2 number, since 2×409750889762 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 671916 + ... + 730356.

Almost surely, 240975088976 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 40975088976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59407520282).

40975088976 is an abundant number, since it is smaller than the sum of its proper divisors (77839951588).

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

40975088976 is a wasteful number, since it uses less digits than its factorization.

40975088976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59002 (or 58987 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 40975088976 in words is "forty billion, nine hundred seventy-five million, eighty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 541 648 1082 1296 1623 2164 3246 4328 4869 6492 8656 9738 12984 14607 19476 25968 29214 38952 43821 58428 58441 77904 87642 116856 116882 175284 175323 233712 233764 350568 350646 467528 525969 701136 701292 935056 1051938 1402584 1577907 2103876 2805168 3155814 4207752 4733721 6311628 8415504 9467442 12623256 18934884 25246512 31616581 37869768 63233162 75739536 94849743 126466324 189699486 252932648 284549229 379398972 505865296 569098458 758797944 853647687 1138196916 1517595888 1707295374 2276393832 2560943061 3414590748 4552787664 5121886122 6829181496 10243772244 13658362992 20487544488 40975088976