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13444531140 = 2235523742787
BaseRepresentation
bin11001000010101101…
…10100001111000100
31021200222020221112210
430201112310033010
5210013244444030
610102030543420
7654111425535
oct144126641704
937628227483
1013444531140
11577a0a6267
122732667b70
131363505391
1491780268c
1553a4aebb0
hex3215b43c4

13444531140 has 48 divisors (see below), whose sum is σ = 37652755392. Its totient is φ = 3584439936.

The previous prime is 13444531123. The next prime is 13444531193. The reversal of 13444531140 is 4113544431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13444531098 and 13444531107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292827 + ... + 335613.

It is an arithmetic number, because the mean of its divisors is an integer number (784432404).

Almost surely, 213444531140 is an apocalyptic number.

13444531140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13444531140 is an abundant number, since it is smaller than the sum of its proper divisors (24208224252).

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

13444531140 is a wasteful number, since it uses less digits than its factorization.

13444531140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48036 (or 48034 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 13444531140 in words is "thirteen billion, four hundred forty-four million, five hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5237 10474 15711 20948 26185 31422 42787 52370 62844 78555 85574 104740 128361 157110 171148 213935 256722 314220 427870 513444 641805 855740 1283610 2567220 224075519 448151038 672226557 896302076 1120377595 1344453114 2240755190 2688906228 3361132785 4481510380 6722265570 13444531140