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113112414144 = 263365458573
BaseRepresentation
bin110100101011000000…
…1100111011111000000
3101210221222221222221000
41221112001213133000
53323123234223034
6123544011332000
711113013441112
oct1512601473700
9353858858830
10113112414144
1143a75010a04
1219b09151000
13a888280592
1456906cd3b2
152e20494599
hex1a560677c0

113112414144 has 56 divisors (see below), whose sum is σ = 332529555920. Its totient is φ = 37704137472.

The previous prime is 113112414119. The next prime is 113112414161. The reversal of 113112414144 is 441414211311.

113112414144 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 1 + 241 + 414 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32727559 + ... + 32731014.

Almost surely, 2113112414144 is an apocalyptic number.

It is an amenable number.

113112414144 is an abundant number, since it is smaller than the sum of its proper divisors (219417141776).

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

113112414144 is an equidigital number, since it uses as much as digits as its factorization.

113112414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65458594 (or 65458578 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

Adding to 113112414144 its reverse (441414211311), we get a palindrome (554526625455).

The spelling of 113112414144 in words is "one hundred thirteen billion, one hundred twelve million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 65458573 130917146 196375719 261834292 392751438 523668584 589127157 785502876 1047337168 1178254314 1571005752 1767381471 2094674336 2356508628 3142011504 3534762942 4189348672 4713017256 6284023008 7069525884 9426034512 12568046016 14139051768 18852069024 28278103536 37704138048 56556207072 113112414144