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13442456256 = 263121757529
BaseRepresentation
bin11001000010011101…
…11001101011000000
31021200211100112100020
430201032321223000
5210012232100011
610101514253440
7654054664365
oct144116715300
937624315306
1013442456256
115778a09389
122731a27280
131362c59b38
1491742246c
1553a200006
hex3213b9ac0

13442456256 has 56 divisors (see below), whose sum is σ = 35596342320. Its totient is φ = 4477059072.

The previous prime is 13442456227. The next prime is 13442456297. The reversal of 13442456256 is 65265424431.

It is a happy 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, 204900 + ... + 262428.

It is an arithmetic number, because the mean of its divisors is an integer number (635648970).

Almost surely, 213442456256 is an apocalyptic number.

13442456256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13442456256 is an abundant number, since it is smaller than the sum of its proper divisors (22153886064).

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

13442456256 is a wasteful number, since it uses less digits than its factorization.

13442456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58761 (or 58751 counting only the distinct ones).

The product of its digits is 691200, while the sum is 42.

The spelling of 13442456256 in words is "thirteen billion, four hundred forty-two million, four hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 1217 2434 3651 4868 7302 9736 14604 19472 29208 38944 57529 58416 77888 115058 116832 172587 230116 233664 345174 460232 690348 920464 1380696 1840928 2761392 3681856 5522784 11045568 70012793 140025586 210038379 280051172 420076758 560102344 840153516 1120204688 1680307032 2240409376 3360614064 4480818752 6721228128 13442456256