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23832731440 = 245742558449
BaseRepresentation
bin10110001100100010…
…101001111100110000
32021111221111012101001
4112030202221330300
5342302134401230
614540522051344
71502411606020
oct261442517460
967457435331
1023832731440
11a11aa56971
124751649b54
13232a76236b
141221337a80
159474a00ca
hex58c8a9f30

23832731440 has 40 divisors (see below), whose sum is σ = 63326973600. Its totient is φ = 8171222016.

The previous prime is 23832731431. The next prime is 23832731441. The reversal of 23832731440 is 4413723832.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×238327314403 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23832731440.

It is not an unprimeable number, because it can be changed into a prime (23832731441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21278665 + ... + 21279784.

It is an arithmetic number, because the mean of its divisors is an integer number (1583174340).

Almost surely, 223832731440 is an apocalyptic number.

23832731440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23832731440 is an abundant number, since it is smaller than the sum of its proper divisors (39494242160).

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

23832731440 is a wasteful number, since it uses less digits than its factorization.

23832731440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42558469 (or 42558463 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 37.

The spelling of 23832731440 in words is "twenty-three billion, eight hundred thirty-two million, seven hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 42558449 85116898 170233796 212792245 297909143 340467592 425584490 595818286 680935184 851168980 1191636572 1489545715 1702337960 2383273144 2979091430 3404675920 4766546288 5958182860 11916365720 23832731440