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4014364634104 = 231124147070903
BaseRepresentation
bin111010011010101010110…
…001110010101111111000
3112012202202222021201110111
4322122222301302233320
51011232404321242404
612312101301554104
7563012461245616
oct72325261625770
915182688251414
104014364634104
1113085341aa900
1254a016715934
13231725b15726
14dc4210126b6
156e652118104
hex3a6aac72bf8

4014364634104 has 24 divisors (see below), whose sum is σ = 8273406453480. Its totient is φ = 1824711196880.

The previous prime is 4014364634081. The next prime is 4014364634123.

4014364634104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40143646341042 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2073534484 + ... + 2073536419.

It is an arithmetic number, because the mean of its divisors is an integer number (344725268895).

Almost surely, 24014364634104 is an apocalyptic number.

4014364634104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4014364634104 is an abundant number, since it is smaller than the sum of its proper divisors (4259041819376).

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

4014364634104 is a wasteful number, since it uses less digits than its factorization.

4014364634104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4147070931 (or 4147070916 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

The spelling of 4014364634104 in words is "four trillion, fourteen billion, three hundred sixty-four million, six hundred thirty-four thousand, one hundred four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 4147070903 8294141806 16588283612 33176567224 45617779933 91235559866 182471119732 364942239464 501795579263 1003591158526 2007182317052 4014364634104