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42314400520 = 23571301116159
BaseRepresentation
bin100111011010001000…
…101000001100001000
311001012222000021011021
4213122020220030020
51143124441304040
631234452242224
73025406320120
oct473210501410
9131188007137
1042314400520
1116a44415447
12824b010374
133cb46ca222
142095b07c80
151179ca024a
hex9da228308

42314400520 has 64 divisors (see below), whose sum is σ = 108893030400. Its totient is φ = 14496518400.

The previous prime is 42314400503. The next prime is 42314400529. The reversal of 42314400520 is 2500441324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42314400529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306201 + ... + 422359.

It is an arithmetic number, because the mean of its divisors is an integer number (1701453600).

Almost surely, 242314400520 is an apocalyptic number.

42314400520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42314400520 is an abundant number, since it is smaller than the sum of its proper divisors (66578629880).

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

42314400520 is a wasteful number, since it uses less digits than its factorization.

42314400520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117478 (or 117474 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 42314400520 its reverse (2500441324), we get a palindrome (44814841844).

The spelling of 42314400520 in words is "forty-two billion, three hundred fourteen million, four hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1301 2602 5204 6505 9107 10408 13010 18214 26020 36428 45535 52040 72856 91070 116159 182140 232318 364280 464636 580795 813113 929272 1161590 1626226 2323180 3252452 4065565 4646360 6504904 8131130 16262260 32524520 151122859 302245718 604491436 755614295 1057860013 1208982872 1511228590 2115720026 3022457180 4231440052 5289300065 6044914360 8462880104 10578600130 21157200260 42314400520