Base | Representation |
---|---|
bin | 1010100100011001111110… |
… | …11110111100001101111000 |
3 | 10001021211102112020011121112 |
4 | 11102030333132330031320 |
5 | 11021240320034123412 |
6 | 121232455033055452 |
7 | 4616054641645565 |
oct | 522147736741570 |
9 | 101254375204545 |
10 | 23241133114232 |
11 | 74505668254a0 |
12 | 2734354557588 |
13 | cc7824b8b647 |
14 | 5a4c3c0c186c |
15 | 2a484dc5d722 |
hex | 15233f7bc378 |
23241133114232 has 128 divisors (see below), whose sum is σ = 51196586112000. Its totient is φ = 9779581992960.
The previous prime is 23241133114231. The next prime is 23241133114273.
23241133114232 is nontrivially palindromic in base 10.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (23241133114231) 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, 11905568 + ... + 13719504.
It is an arithmetic number, because the mean of its divisors is an integer number (399973329000).
Almost surely, 223241133114232 is an apocalyptic number.
23241133114232 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 23241133114232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25598293056000).
23241133114232 is an abundant number, since it is smaller than the sum of its proper divisors (27955452997768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23241133114232 is a wasteful number, since it uses less digits than its factorization.
23241133114232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1814149 (or 1814145 counting only the distinct ones).
The product of its digits is 20736, while the sum is 32.
It can be divided in two parts, 2324113 and 3114232, that added together give a palindrome (5438345).
The spelling of 23241133114232 in words is "twenty-three trillion, two hundred forty-one billion, one hundred thirty-three million, one hundred fourteen thousand, two hundred thirty-two".
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