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113541616144 = 2411289658961
BaseRepresentation
bin110100110111110011…
…0111001001000010000
3101212001220120201101101
41221233212321020100
53330013123204034
6124054342514144
711126444545645
oct1515746711020
9355056521341
10113541616144
1144175311800
121a008a35954
13a926177868
1456d16d5dcc
152e47ec5514
hex1a6f9b9210

113541616144 has 60 divisors (see below), whose sum is σ = 244521029340. Its totient is φ = 51029862400.

The previous prime is 113541616141. The next prime is 113541616159. The reversal of 113541616144 is 441616145311.

It can be written as a sum of positive squares in 2 ways, for example, as 45577126144 + 67964490000 = 213488^2 + 260700^2 .

It is not an unprimeable number, because it can be changed into a prime (113541616141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157177 + ... + 501784.

It is an arithmetic number, because the mean of its divisors is an integer number (4075350489).

Almost surely, 2113541616144 is an apocalyptic number.

It is an amenable number.

113541616144 is an abundant number, since it is smaller than the sum of its proper divisors (130979413196).

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

113541616144 is a wasteful number, since it uses less digits than its factorization.

113541616144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659080 (or 659063 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The spelling of 113541616144 in words is "one hundred thirteen billion, five hundred forty-one million, six hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 89 121 176 178 242 356 484 712 968 979 1424 1936 1958 3916 7832 10769 15664 21538 43076 86152 172304 658961 1317922 2635844 5271688 7248571 10543376 14497142 28994284 57988568 58647529 79734281 115977136 117295058 159468562 234590116 318937124 469180232 637874248 645122819 938360464 1275748496 1290245638 2580491276 5160982552 7096351009 10321965104 14192702018 28385404036 56770808072 113541616144