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13441600256 = 28717441229
BaseRepresentation
bin11001000010010111…
…01000101100000000
31021200202202001010112
430201023220230000
5210012022202011
610101444050452
7654044500640
oct144113505400
937622661115
1013441600256
115778484247
122731693a28
131362a1a326
1491727c520
1553a0d158b
hex3212e8b00

13441600256 has 72 divisors (see below), whose sum is σ = 32467468320. Its totient is φ = 5421809664.

The previous prime is 13441600229. The next prime is 13441600259. The reversal of 13441600256 is 65200614431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (13441600259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190151 + ... + 251078.

It is an arithmetic number, because the mean of its divisors is an integer number (450937060).

Almost surely, 213441600256 is an apocalyptic number.

13441600256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13441600256 is an abundant number, since it is smaller than the sum of its proper divisors (19025868064).

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

13441600256 is an equidigital number, since it uses as much as digits as its factorization.

13441600256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441269 (or 441255 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 13441600256 in words is "thirteen billion, four hundred forty-one million, six hundred thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 448 476 544 896 952 1088 1792 1904 2176 3808 4352 7616 15232 30464 441229 882458 1764916 3088603 3529832 6177206 7059664 7500893 12354412 14119328 15001786 24708824 28238656 30003572 49417648 52506251 56477312 60007144 98835296 105012502 112954624 120014288 197670592 210025004 240028576 395341184 420050008 480057152 790682368 840100016 960114304 1680200032 1920228608 3360400064 6720800128 13441600256