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13946404168260 = 2232517234718012341
BaseRepresentation
bin1100101011110010011001…
…1101110110001001000100
31211101021002212220121022100
43022330212131312021010
53311444213431341020
645354520054232100
72636410616323254
oct312744635661104
954337085817270
1013946404168260
114497700630a73
121692aa6655630
137a21a9233445
1436301c355964
15192ba0a1ba90
hexcaf26776244

13946404168260 has 576 divisors, whose sum is σ = 47781447727104. Its totient is φ = 3273633792000.

The previous prime is 13946404168259. The next prime is 13946404168309. The reversal of 13946404168260 is 6286140464931.

13946404168260 is a `hidden beast` number, since 1 + 3 + 9 + 464 + 0 + 41 + 6 + 82 + 60 = 666.

13946404168260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13946404168197 and 13946404168206.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5957454690 + ... + 5957457030.

It is an arithmetic number, because the mean of its divisors is an integer number (82953902304).

Almost surely, 213946404168260 is an apocalyptic number.

13946404168260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13946404168260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23890723863552).

13946404168260 is an abundant number, since it is smaller than the sum of its proper divisors (33835043558844).

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

13946404168260 is a wasteful number, since it uses less digits than its factorization.

13946404168260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4244 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 13946404168260 in words is "thirteen trillion, nine hundred forty-six billion, four hundred four million, one hundred sixty-eight thousand, two hundred sixty".