Search a number
-
+
13255540144 = 2471115768531
BaseRepresentation
bin11000101100001011…
…10111110110110000
31021012210122012122021
430112011313312300
5204121404241034
610031200121224
7646325142430
oct142605676660
937183565567
1013255540144
115692452560
12269b306214
131333303ca2
148da6882c0
15528acc6b4
hex316177db0

13255540144 has 80 divisors (see below), whose sum is σ = 32224294656. Its totient is φ = 5131526400.

The previous prime is 13255540127. The next prime is 13255540231. The reversal of 13255540144 is 44104555231.

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, 159159 + ... + 227689.

Almost surely, 213255540144 is an apocalyptic number.

13255540144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13255540144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16112147328).

13255540144 is an abundant number, since it is smaller than the sum of its proper divisors (18968754512).

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

13255540144 is a wasteful number, since it uses less digits than its factorization.

13255540144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68714 (or 68708 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 13255540144 in words is "thirteen billion, two hundred fifty-five million, five hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 157 176 308 314 616 628 1099 1232 1256 1727 2198 2512 3454 4396 6908 8792 12089 13816 17584 24178 27632 48356 68531 96712 137062 193424 274124 479717 548248 753841 959434 1096496 1507682 1918868 3015364 3837736 5276887 6030728 7675472 10553774 10759367 12061456 21107548 21518734 42215096 43037468 75315569 84430192 86074936 118353037 150631138 172149872 236706074 301262276 473412148 602524552 828471259 946824296 1205049104 1656942518 1893648592 3313885036 6627770072 13255540144