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40793812224 = 283112438983
BaseRepresentation
bin100101111111100000…
…000010110100000000
310220021222202101011020
4211333200002310000
51132021203442344
630423532545440
72642623453104
oct457740026400
9126258671136
1040793812224
1116334052a00
127aa5922280
133b01679b39
141d8dba5904
1510db53a719
hex97f802d00

40793812224 has 108 divisors (see below), whose sum is σ = 119338678368. Its totient is φ = 12361733120.

The previous prime is 40793812183. The next prime is 40793812277. The reversal of 40793812224 is 42221839704.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126564 + ... + 312419.

Almost surely, 240793812224 is an apocalyptic number.

40793812224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40793812224 is an abundant number, since it is smaller than the sum of its proper divisors (78544866144).

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

40793812224 is a wasteful number, since it uses less digits than its factorization.

40793812224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439024 (or 438999 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 40793812224 in words is "forty billion, seven hundred ninety-three million, eight hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1408 1452 1936 2112 2816 2904 3872 4224 5808 7744 8448 11616 15488 23232 30976 46464 92928 438983 877966 1316949 1755932 2633898 3511864 4828813 5267796 7023728 9657626 10535592 14047456 14486439 19315252 21071184 28094912 28972878 38630504 42142368 53116943 56189824 57945756 77261008 84284736 106233886 112379648 115891512 154522016 159350829 168569472 212467772 231783024 309044032 318701658 337138944 424935544 463566048 618088064 637403316 849871088 927132096 1236176128 1274806632 1699742176 1854264192 2549613264 3399484352 3708528384 5099226528 6798968704 10198453056 13597937408 20396906112 40793812224