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11440681408 = 261379174061
BaseRepresentation
bin10101010011110101…
…01111000111000000
31002112022122211111001
422221322233013000
5141412303301113
65131125301344
7553340121202
oct125172570700
932468584431
1011440681408
114940a6a302
122273564854
131104310990
147a7624772
1546e5db7dd
hex2a9eaf1c0

11440681408 has 56 divisors (see below), whose sum is σ = 24758578880. Its totient is φ = 5213445120.

The previous prime is 11440681397. The next prime is 11440681463. The reversal of 11440681408 is 80418604411.

11440681408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21303 + ... + 152758.

It is an arithmetic number, because the mean of its divisors is an integer number (442117480).

Almost surely, 211440681408 is an apocalyptic number.

It is an amenable number.

11440681408 is an abundant number, since it is smaller than the sum of its proper divisors (13317897472).

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

11440681408 is a wasteful number, since it uses less digits than its factorization.

11440681408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174165 (or 174155 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The spelling of 11440681408 in words is "eleven billion, four hundred forty million, six hundred eighty-one thousand, four hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 158 208 316 416 632 832 1027 1264 2054 2528 4108 5056 8216 16432 32864 65728 174061 348122 696244 1392488 2262793 2784976 4525586 5569952 9051172 11139904 13750819 18102344 27501638 36204688 55003276 72409376 110006552 144818752 178760647 220013104 357521294 440026208 715042588 880052416 1430085176 2860170352 5720340704 11440681408