Base | Representation |
---|---|
bin | 111001010010011111… |
… | …1010011011101000000 |
3 | 102202112222021101022000 |
4 | 1302210333103131000 |
5 | 4003424422024324 |
6 | 132303510344000 |
7 | 11613504312432 |
oct | 1624477233500 |
9 | 382488241260 |
10 | 123027142464 |
11 | 481a2684056 |
12 | 1ba1565b000 |
13 | b7a83b3025 |
14 | 5d513b6652 |
15 | 3300b0b9c9 |
hex | 1ca4fd3740 |
123027142464 has 112 divisors (see below), whose sum is σ = 362281866240. Its totient is φ = 40940467200.
The previous prime is 123027142429. The next prime is 123027142477. The reversal of 123027142464 is 464241720321.
123027142464 is a `hidden beast` number, since 1 + 2 + 30 + 27 + 142 + 464 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 979297 + ... + 1097759.
It is an arithmetic number, because the mean of its divisors is an integer number (3234659520).
Almost surely, 2123027142464 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 123027142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181140933120).
123027142464 is an abundant number, since it is smaller than the sum of its proper divisors (239254723776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
123027142464 is a wasteful number, since it uses less digits than its factorization.
123027142464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 119085 (or 119069 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
Adding to 123027142464 its reverse (464241720321), we get a palindrome (587268862785).
The spelling of 123027142464 in words is "one hundred twenty-three billion, twenty-seven million, one hundred forty-two thousand, four hundred sixty-four".
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