Base | Representation |
---|---|
bin | 1010100011100110011100… |
… | …11010111010111100000000 |
3 | 10001012012000101111001102120 |
4 | 11101303032122322330000 |
5 | 11020312134401244412 |
6 | 121212041432044240 |
7 | 4614055224013320 |
oct | 521631632727400 |
9 | 101165011431376 |
10 | 23213466431232 |
11 | 743a859699020 |
12 | 272ab12b33680 |
13 | cc50360353bc |
14 | 5a37758d9280 |
15 | 2a3c7edd7b8c |
hex | 151cce6baf00 |
23213466431232 has 288 divisors, whose sum is σ = 80375485317120. Its totient is φ = 5767320514560.
The previous prime is 23213466431219. The next prime is 23213466431237.
23213466431232 is nontrivially palindromic in base 10.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23213466431237) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7173432 + ... + 9893687.
It is an arithmetic number, because the mean of its divisors is an integer number (279081546240).
Almost surely, 223213466431232 is an apocalyptic number.
23213466431232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
23213466431232 is an abundant number, since it is smaller than the sum of its proper divisors (57162018885888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23213466431232 is a wasteful number, since it uses less digits than its factorization.
23213466431232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17067179 (or 17067165 counting only the distinct ones).
The product of its digits is 746496, while the sum is 42.
It can be divided in two parts, 2321346 and 6431232, that added together give a palindrome (8752578).
The spelling of 23213466431232 in words is "twenty-three trillion, two hundred thirteen billion, four hundred sixty-six million, four hundred thirty-one thousand, two hundred thirty-two".
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