Base | Representation |
---|---|
bin | 110100010111011011… |
… | …0010000110010000000 |
3 | 101202021012011022022000 |
4 | 1220232312100302000 |
5 | 3320302003014034 |
6 | 123354451344000 |
7 | 11060512541424 |
oct | 1505666206200 |
9 | 352235138260 |
10 | 112455126144 |
11 | 43767a94789 |
12 | 19964bb2000 |
13 | a7b204727a |
14 | 562b2b2b84 |
15 | 2dd290c599 |
hex | 1a2ed90c80 |
112455126144 has 128 divisors (see below), whose sum is σ = 332949052800. Its totient is φ = 37366428672.
The previous prime is 112455126143. The next prime is 112455126193. The reversal of 112455126144 is 441621554211.
112455126144 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 551 + 2 + 61 + 44 = 666.
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 112455126099 and 112455126108.
It is not an unprimeable number, because it can be changed into a prime (112455126143) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044229 + ... + 1146875.
It is an arithmetic number, because the mean of its divisors is an integer number (2601164475).
Almost surely, 2112455126144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 112455126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166474526400).
112455126144 is an abundant number, since it is smaller than the sum of its proper divisors (220493926656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112455126144 is a wasteful number, since it uses less digits than its factorization.
112455126144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 102987 (or 102969 counting only the distinct ones).
The product of its digits is 38400, while the sum is 36.
The spelling of 112455126144 in words is "one hundred twelve billion, four hundred fifty-five million, one hundred twenty-six thousand, one hundred forty-four".
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