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4234468644324 = 2233197199025599
BaseRepresentation
bin111101100111101001111…
…111111101010111100100
3112222210220101210221102000
4331213221333331113210
51023334142433104244
613001142114445300
7614634036413412
oct75475177752744
915883811727360
104234468644324
111392912180486
12584802b93830
13249402228429
14108d411322b2
1575235501169
hex3d9e9ffd5e4

4234468644324 has 48 divisors (see below), whose sum is σ = 11033979264000. Its totient is φ = 1404324619488.

The previous prime is 4234468644323. The next prime is 4234468644407.

4234468644324 is a `hidden beast` number, since 4 + 234 + 4 + 6 + 86 + 4 + 4 + 324 = 666.

4234468644324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4234468644323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99491524 + ... + 99534075.

It is an arithmetic number, because the mean of its divisors is an integer number (229874568000).

Almost surely, 24234468644324 is an apocalyptic number.

It is an amenable number.

4234468644324 is an abundant number, since it is smaller than the sum of its proper divisors (6799510619676).

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

4234468644324 is a wasteful number, since it uses less digits than its factorization.

4234468644324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199025809 (or 199025801 counting only the distinct ones).

The product of its digits is 42467328, while the sum is 54.

The spelling of 4234468644324 in words is "four trillion, two hundred thirty-four billion, four hundred sixty-eight million, six hundred forty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 197 394 591 788 1182 1773 2364 3546 5319 7092 10638 21276 199025599 398051198 597076797 796102396 1194153594 1791230391 2388307188 3582460782 5373691173 7164921564 10747382346 21494764692 39208043003 78416086006 117624129009 156832172012 235248258018 352872387027 470496516036 705744774054 1058617161081 1411489548108 2117234322162 4234468644324