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114931848256 = 2631213672
BaseRepresentation
bin110101100001001111…
…0001101010001000000
3101222122210112211022121
41223002132031101000
53340340023121011
6124444324214024
711206055406541
oct1530236152100
9358583484277
10114931848256
1144819039765
121a33653a314
13aab81b6304
1457c41c44c8
152eca08ae71
hex1ac278d440

114931848256 has 63 divisors (see below), whose sum is σ = 235834758327. Its totient is φ = 55571502720.

The previous prime is 114931848211. The next prime is 114931848271. The reversal of 114931848256 is 652848139411.

The square root of 114931848256 is 339016.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 84075285 + ... + 84076651.

Almost surely, 2114931848256 is an apocalyptic number.

114931848256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

114931848256 is the 339016-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114931848256

114931848256 is an abundant number, since it is smaller than the sum of its proper divisors (120902910071).

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

114931848256 is an frugal number, since it uses more digits than its factorization.

114931848256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808 (or 1400 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 52.

The spelling of 114931848256 in words is "one hundred fourteen billion, nine hundred thirty-one million, eight hundred forty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 961 992 1367 1922 1984 2734 3844 5468 7688 10936 15376 21872 30752 42377 43744 61504 84754 87488 169508 339016 678032 1313687 1356064 1868689 2627374 2712128 3737378 5254748 7474756 10509496 14949512 21018992 29899024 42037984 57929359 59798048 84075968 115858718 119596096 231717436 463434872 926869744 1795810129 1853739488 3591620258 3707478976 7183240516 14366481032 28732962064 57465924128 114931848256