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40627994112 = 293210518389
BaseRepresentation
bin100101110101100111…
…011111111000000000
310212212102201221110200
4211311213133320000
51131201231302422
630355250525200
72635541152266
oct456547377000
9125772657420
1040627994112
1116259497342
127a5a296800
133aa6200104
141d75b60436
1510cbbd42ac
hex9759dfe00

40627994112 has 120 divisors (see below), whose sum is σ = 117380697720. Its totient is φ = 13528166400.

The previous prime is 40627994111. The next prime is 40627994159. The reversal of 40627994112 is 21149972604.

40627994112 is a `hidden beast` number, since 4 + 0 + 627 + 9 + 9 + 4 + 1 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40627994111) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4838814 + ... + 4847202.

It is an arithmetic number, because the mean of its divisors is an integer number (978172481).

Almost surely, 240627994112 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 40627994112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58690348860).

40627994112 is an abundant number, since it is smaller than the sum of its proper divisors (76752703608).

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

40627994112 is a wasteful number, since it uses less digits than its factorization.

40627994112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464 (or 9445 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 40627994112 in words is "forty billion, six hundred twenty-seven million, nine hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1051 1152 1536 2102 2304 3153 4204 4608 6306 8389 8408 9459 12612 16778 16816 18918 25167 25224 33556 33632 37836 50334 50448 67112 67264 75501 75672 100668 100896 134224 134528 151002 151344 201336 201792 268448 269056 302004 302688 402672 403584 536896 538112 604008 605376 805344 807168 1073792 1208016 1210752 1610688 1614336 2147584 2416032 2421504 3221376 4295168 4832064 4843008 6442752 8816839 9664128 12885504 17633678 19328256 26450517 35267356 38656512 52901034 70534712 79351551 105802068 141069424 158703102 211604136 282138848 317406204 423208272 564277696 634812408 846416544 1128555392 1269624816 1692833088 2257110784 2539249632 3385666176 4514221568 5078499264 6771332352 10156998528 13542664704 20313997056 40627994112