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13056404295144 = 2337733106025501
BaseRepresentation
bin1011110111111110111001…
…0101110000110111101000
31201020011212021010121020210
42331333232111300313220
53202404003444421034
643434010200221120
72515202604243510
oct275775625606750
951204767117223
1013056404295144
11418420a932551
12156a50346a7a0
137392a14aa4a2
14331d0d126840
151799613c58e9
hexbdfee570de8

13056404295144 has 64 divisors (see below), whose sum is σ = 37354904864640. Its totient is φ = 3725311968000.

The previous prime is 13056404295133. The next prime is 13056404295199. The reversal of 13056404295144 is 44159240465031.

It is a junction number, because it is equal to n+sod(n) for n = 13056404295093 and 13056404295102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52889607 + ... + 53135894.

It is an arithmetic number, because the mean of its divisors is an integer number (583670388510).

Almost surely, 213056404295144 is an apocalyptic number.

13056404295144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13056404295144 is an abundant number, since it is smaller than the sum of its proper divisors (24298500569496).

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

13056404295144 is a wasteful number, since it uses less digits than its factorization.

13056404295144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106026250 (or 106026246 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 13056404295144 in words is "thirteen trillion, fifty-six billion, four hundred four million, two hundred ninety-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 733 1466 2199 2932 4398 5131 5864 8796 10262 15393 17592 20524 30786 41048 61572 123144 106025501 212051002 318076503 424102004 636153006 742178507 848204008 1272306012 1484357014 2226535521 2544612024 2968714028 4453071042 5937428056 8906142084 17812284168 77716692233 155433384466 233150076699 310866768932 466300153398 544016845631 621733537864 932600306796 1088033691262 1632050536893 1865200613592 2176067382524 3264101073786 4352134765048 6528202147572 13056404295144