Base | Representation |
---|---|
bin | 1010100001000000100101… |
… | …11111000011110010010100 |
3 | 10000212200011202111201201100 |
4 | 11100200102333003302110 |
5 | 11012332304121122012 |
6 | 121103114002230100 |
7 | 4604453513416464 |
oct | 520402277036224 |
9 | 100780152451640 |
10 | 23124422442132 |
11 | 7406015686090 |
12 | 2715802355330 |
13 | cb98152bab5b |
14 | 59d329977ba4 |
15 | 2a17bc94d8dc |
hex | 150812fc3c94 |
23124422442132 has 144 divisors (see below), whose sum is σ = 63963268911360. Its totient is φ = 6985901395200.
The previous prime is 23124422442103. The next prime is 23124422442197.
23124422442132 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 4 + 4 + 224 + 421 + 3 + 2 = 666.
23124422442132 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (36).
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 (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183561838 + ... + 183687770.
It is an arithmetic number, because the mean of its divisors is an integer number (444189367440).
Almost surely, 223124422442132 is an apocalyptic number.
23124422442132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23124422442132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31981634455680).
23124422442132 is an abundant number, since it is smaller than the sum of its proper divisors (40838846469228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23124422442132 is a wasteful number, since it uses less digits than its factorization.
23124422442132 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 127374 (or 127369 counting only the distinct ones).
The product of its digits is 147456, while the sum is 36.
It can be divided in two parts, 2312442 and 2442132, that added together give a palindrome (4754574).
The spelling of 23124422442132 in words is "twenty-three trillion, one hundred twenty-four billion, four hundred twenty-two million, four hundred forty-two thousand, one hundred thirty-two".
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