Base | Representation |
---|---|
bin | 110100110100100101110011… |
… | …100001011010101011110000 |
3 | 1010110112211222021110010021100 |
4 | 310310211303201122223300 |
5 | 220422201321044310412 |
6 | 2142030504312524400 |
7 | 66635006303350446 |
oct | 6464456341325360 |
9 | 1113484867403240 |
10 | 232312424213232 |
11 | 68027167106800 |
12 | 2207b8549b0700 |
13 | 9c81c76a9424c |
14 | 4151da4a88b96 |
15 | 1bccea511cedc |
hex | d3497385aaf0 |
232312424213232 has 270 divisors, whose sum is σ = 747051836900096. Its totient is φ = 67336931882880.
The previous prime is 232312424213213. The next prime is 232312424213251.
232312424213232 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 12 + 424 + 213 + 2 + 3 + 2 = 666.
232312424213232 is nontrivially palindromic in base 10.
232312424213232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (232312424213213) and next prime (232312424213251).
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 polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3384688 + ... + 21819279.
Almost surely, 2232312424213232 is an apocalyptic number.
232312424213232 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 232312424213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373525918450048).
232312424213232 is an abundant number, since it is smaller than the sum of its proper divisors (514739412686864).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232312424213232 is a wasteful number, since it uses less digits than its factorization.
232312424213232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 25204049 (or 25204006 counting only the distinct ones).
The product of its digits is 165888, while the sum is 36.
The spelling of 232312424213232 in words is "two hundred thirty-two trillion, three hundred twelve billion, four hundred twenty-four million, two hundred thirteen thousand, two hundred thirty-two".
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