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4314118864 = 241124512039
BaseRepresentation
bin1000000010010010…
…00011101011010000
3102010122202221112011
410001021003223100
532313403300424
61552030312304
7211623256006
oct40111035320
912118687464
104314118864
1119142313a0
12a04958694
13539a23a73
142ccd60a76
151a3b22694
hex101243ad0

4314118864 has 20 divisors (see below), whose sum is σ = 9118478880. Its totient is φ = 1960963040.

The previous prime is 4314118843. The next prime is 4314118867. The reversal of 4314118864 is 4688114134.

It is a super-2 number, since 2×43141188642 = 37223243145441300992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4314118867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12255844 + ... + 12256195.

It is an arithmetic number, because the mean of its divisors is an integer number (455923944).

Almost surely, 24314118864 is an apocalyptic number.

4314118864 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4314118864 is an abundant number, since it is smaller than the sum of its proper divisors (4804360016).

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

4314118864 is a wasteful number, since it uses less digits than its factorization.

4314118864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24512058 (or 24512052 counting only the distinct ones).

The product of its digits is 73728, while the sum is 40.

The square root of 4314118864 is about 65681.9523461354. The cubic root of 4314118864 is about 1627.9111667667.

The spelling of 4314118864 in words is "four billion, three hundred fourteen million, one hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 24512039 49024078 98048156 196096312 269632429 392192624 539264858 1078529716 2157059432 4314118864