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40873704432 = 243112313612473
BaseRepresentation
bin100110000100010000…
…110011101111110000
310220111120002022122220
4212010100303233300
51132202132020212
630435505201040
72644613520021
oct460420635760
9126446068586
1040873704432
1116375160120
127b08630180
133b150a0132
141d9a640c48
1510e356c38c
hex984433bf0

40873704432 has 160 divisors (see below), whose sum is σ = 120334726656. Its totient is φ = 11833958400.

The previous prime is 40873704413. The next prime is 40873704439. The reversal of 40873704432 is 23440737804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40873704439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16526748 + ... + 16529220.

Almost surely, 240873704432 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 40873704432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60167363328).

40873704432 is an abundant number, since it is smaller than the sum of its proper divisors (79461022224).

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

40873704432 is a wasteful number, since it uses less digits than its factorization.

40873704432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3879 (or 3873 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 40873704432 in words is "forty billion, eight hundred seventy-three million, seven hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1361 1518 2024 2473 2722 3036 4048 4083 4946 5444 6072 7419 8166 9892 10888 12144 14838 14971 16332 19784 21776 27203 29676 29942 31303 32664 39568 44913 54406 56879 59352 59884 62606 65328 81609 89826 93909 108812 113758 118704 119768 125212 163218 170637 179652 187818 217624 227516 239536 250424 326436 341274 344333 359304 375636 435248 455032 500848 625669 652872 682548 688666 718608 751272 910064 1032999 1251338 1305744 1365096 1377332 1502544 1877007 2065998 2502676 2730192 2754664 3365753 3754014 4131996 5005352 5509328 6731506 7508028 8263992 10010704 10097259 13463012 15016056 16527984 20194518 26926024 30032112 37023283 40389036 53852048 74046566 77412319 80778072 111069849 148093132 154824638 161556144 222139698 232236957 296186264 309649276 444279396 464473914 592372528 619298552 851535509 888558792 928947828 1238597104 1703071018 1777117584 1857895656 2554606527 3406142036 3715791312 5109213054 6812284072 10218426108 13624568144 20436852216 40873704432