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13312405344 = 253719810127
BaseRepresentation
bin11000110010111101…
…10010111101100000
31021100202122021000210
430121132302331200
5204230433432334
610040551014120
7650615402250
oct143136627540
937322567023
1013312405344
115711562197
1226b636a340
131342024134
1490404b960
1552dab15e9
hex3197b2f60

13312405344 has 48 divisors (see below), whose sum is σ = 39937218048. Its totient is φ = 3803544192.

The previous prime is 13312405297. The next prime is 13312405391. The reversal of 13312405344 is 44350421331.

It is an interprime number because it is at equal distance from previous prime (13312405297) and next prime (13312405391).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9904392 + ... + 9905735.

It is an arithmetic number, because the mean of its divisors is an integer number (832025376).

Almost surely, 213312405344 is an apocalyptic number.

13312405344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13312405344 is an abundant number, since it is smaller than the sum of its proper divisors (26624812704).

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

13312405344 is a wasteful number, since it uses less digits than its factorization.

13312405344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19810147 (or 19810139 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13312405344 its reverse (44350421331), we get a palindrome (57662826675).

The spelling of 13312405344 in words is "thirteen billion, three hundred twelve million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 19810127 39620254 59430381 79240508 118860762 138670889 158481016 237721524 277341778 316962032 416012667 475443048 554683556 633924064 832025334 950886096 1109367112 1664050668 1901772192 2218734224 3328101336 4437468448 6656202672 13312405344