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40922807904 = 2533112391441
BaseRepresentation
bin100110000111001100…
…000111111001100000
310220121222111000222000
4212013030013321200
51132302214323104
630444421444000
72646051061566
oct460714077140
9126558430860
1040922807904
111639a949300
127b20b70600
133b22303444
141da2d83a36
1510e7a1b639
hex987307e60

40922807904 has 144 divisors (see below), whose sum is σ = 131195700720. Its totient is φ = 12400819200.

The previous prime is 40922807879. The next prime is 40922807941. The reversal of 40922807904 is 40970822904.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40922807904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91177 + ... + 300264.

It is an arithmetic number, because the mean of its divisors is an integer number (911081255).

Almost surely, 240922807904 is an apocalyptic number.

40922807904 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40922807904 is an abundant number, since it is smaller than the sum of its proper divisors (90272892816).

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

40922807904 is a wasteful number, since it uses less digits than its factorization.

40922807904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391482 (or 391457 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 40922807904 in words is "forty billion, nine hundred twenty-two million, eight hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 121 132 144 176 198 216 242 264 288 297 352 363 396 432 484 528 594 726 792 864 968 1056 1089 1188 1452 1584 1936 2178 2376 2904 3168 3267 3872 4356 4752 5808 6534 8712 9504 11616 13068 17424 26136 34848 52272 104544 391441 782882 1174323 1565764 2348646 3131528 3522969 4305851 4697292 6263056 7045938 8611702 9394584 10568907 12526112 12917553 14091876 17223404 18789168 21137814 25835106 28183752 34446808 37578336 38752659 42275628 47364361 51670212 56367504 68893616 77505318 84551256 94728722 103340424 112735008 116257977 137787232 142093083 155010636 169102512 189457444 206680848 232515954 284186166 310021272 338205024 378914888 413361696 426279249 465031908 568372332 620042544 757829776 852558498 930063816 1136744664 1240085088 1278837747 1515659552 1705116996 1860127632 2273489328 2557675494 3410233992 3720255264 4546978656 5115350988 6820467984 10230701976 13640935968 20461403952 40922807904