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112442211144 = 23321561697377
BaseRepresentation
bin110100010111000010…
…0111111101101001000
3101202020021212011020200
41220232010333231020
53320240201224034
6123353310452200
711060265011364
oct1505604775510
9352207764220
10112442211144
114376077352a
1219960804060
13a7ac474963
1456296b02a4
152dd170aa99
hex1a2e13fb48

112442211144 has 24 divisors (see below), whose sum is σ = 304530988710. Its totient is φ = 37480737024.

The previous prime is 112442211127. The next prime is 112442211221. The reversal of 112442211144 is 441112244211.

112442211144 is a `hidden beast` number, since 1 + 1 + 2 + 442 + 211 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112400608644 + 41602500 = 335262^2 + 6450^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 780848617 + ... + 780848760.

Almost surely, 2112442211144 is an apocalyptic number.

It is an amenable number.

112442211144 is an abundant number, since it is smaller than the sum of its proper divisors (192088777566).

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

112442211144 is a wasteful number, since it uses less digits than its factorization.

112442211144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561697389 (or 1561697382 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 112442211144 its reverse (441112244211), we get a palindrome (553554455355).

The spelling of 112442211144 in words is "one hundred twelve billion, four hundred forty-two million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1561697377 3123394754 4685092131 6246789508 9370184262 12493579016 14055276393 18740368524 28110552786 37480737048 56221105572 112442211144