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233113141040 = 24513224147251
BaseRepresentation
bin1101100100011010100…
…0000011111100110000
3211021201001111112112112
43121012220003330300
512304403431003130
6255031331344452
722561522001543
oct3310650037460
9737631445475
10233113141040
118a95432216a
1239219152128
1318ca0660760
14b3d5b8485a
1560e5540495
hex3646a03f30

233113141040 has 40 divisors (see below), whose sum is σ = 583679444208. Its totient is φ = 86072544000.

The previous prime is 233113141021. The next prime is 233113141043. The reversal of 233113141040 is 40141311332.

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

It is a junction number, because it is equal to n+sod(n) for n = 233113140997 and 233113141015.

It is not an unprimeable number, because it can be changed into a prime (233113141043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112072586 + ... + 112074665.

Almost surely, 2233113141040 is an apocalyptic number.

233113141040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233113141040 is an abundant number, since it is smaller than the sum of its proper divisors (350566303168).

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

233113141040 is a wasteful number, since it uses less digits than its factorization.

233113141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224147277 (or 224147271 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 233113141040 its reverse (40141311332), we get a palindrome (273254452372).

The spelling of 233113141040 in words is "two hundred thirty-three billion, one hundred thirteen million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 224147251 448294502 896589004 1120736255 1793178008 2241472510 2913914263 3586356016 4482945020 5827828526 8965890040 11655657052 14569571315 17931780080 23311314104 29139142630 46622628208 58278285260 116556570520 233113141040