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13144117220 = 2251350554297
BaseRepresentation
bin11000011110111001…
…10100111111100100
31020221000222100010022
430033130310333210
5203404343222340
610012140014312
7643503103313
oct141734647744
936830870108
1013144117220
1156355698a3
122669b31398
1313161c1070
148c996227a
1551de1d3b5
hex30f734fe4

13144117220 has 24 divisors (see below), whose sum is σ = 29725927224. Its totient is φ = 4853212416.

The previous prime is 13144117213. The next prime is 13144117229. The reversal of 13144117220 is 2271144131.

It can be written as a sum of positive squares in 4 ways, for example, as 909987556 + 12234129664 = 30166^2 + 110608^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13144117220.

It is not an unprimeable number, because it can be changed into a prime (13144117229) 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, 25276889 + ... + 25277408.

It is an arithmetic number, because the mean of its divisors is an integer number (1238580301).

Almost surely, 213144117220 is an apocalyptic number.

13144117220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144117220 is an abundant number, since it is smaller than the sum of its proper divisors (16581810004).

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

13144117220 is a wasteful number, since it uses less digits than its factorization.

13144117220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50554319 (or 50554317 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The spelling of 13144117220 in words is "thirteen billion, one hundred forty-four million, one hundred seventeen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 50554297 101108594 202217188 252771485 505542970 657205861 1011085940 1314411722 2628823444 3286029305 6572058610 13144117220