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14080642344 = 2333220729537
BaseRepresentation
bin11010001110100010…
…11000110100101000
31100100022012202002000
431013101120310220
5212314121023334
610245113011000
71005634325256
oct150721306450
940308182060
1014080642344
115a76178aaa
12288b6b3a60
131435235742
149780a95d6
15576262299
hex347458d28

14080642344 has 64 divisors (see below), whose sum is σ = 39131942400. Its totient is φ = 4691261952.

The previous prime is 14080642313. The next prime is 14080642349. The reversal of 14080642344 is 44324608041.

14080642344 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 0 + 642 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14080642299 and 14080642308.

It is not an unprimeable number, because it can be changed into a prime (14080642349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461944 + ... + 491480.

It is an arithmetic number, because the mean of its divisors is an integer number (611436600).

Almost surely, 214080642344 is an apocalyptic number.

It is an amenable number.

14080642344 is an abundant number, since it is smaller than the sum of its proper divisors (25051300056).

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

14080642344 is a wasteful number, since it uses less digits than its factorization.

14080642344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31759 (or 31749 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 14080642344 in words is "fourteen billion, eighty million, six hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 2207 4414 6621 8828 13242 17656 19863 26484 29537 39726 52968 59074 59589 79452 88611 118148 119178 158904 177222 236296 238356 265833 354444 476712 531666 708888 797499 1063332 1594998 2126664 3189996 6379992 65188159 130376318 195564477 260752636 391128954 521505272 586693431 782257908 1173386862 1564515816 1760080293 2346773724 3520160586 4693547448 7040321172 14080642344