Base | Representation |
---|---|
bin | 1010110000000011000011… |
… | …11111110011110111001000 |
3 | 10002201001220222111102022120 |
4 | 11120001201333303313020 |
5 | 11044314030343132012 |
6 | 122140331445051240 |
7 | 4660005406234002 |
oct | 530014177636710 |
9 | 102631828442276 |
10 | 23641144114632 |
11 | 7595175590630 |
12 | 279998b3b6b20 |
13 | 102647287b9a5 |
14 | 5ba347909372 |
15 | 2aee615cb58c |
hex | 158061ff3dc8 |
23641144114632 has 128 divisors (see below), whose sum is σ = 66588378393600. Its totient is φ = 6931420819200.
The previous prime is 23641144114607. The next prime is 23641144114639.
23641144114632 is nontrivially palindromic in base 10.
It is a nude number because it is divisible by every one of its digits.
It is not an unprimeable number, because it can be changed into a prime (23641144114639) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5012044 + ... + 8508987.
It is an arithmetic number, because the mean of its divisors is an integer number (520221706200).
Almost surely, 223641144114632 is an apocalyptic number.
23641144114632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
23641144114632 is an abundant number, since it is smaller than the sum of its proper divisors (42947234278968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23641144114632 is a wasteful number, since it uses less digits than its factorization.
23641144114632 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 13521267 (or 13521263 counting only the distinct ones).
The product of its digits is 331776, while the sum is 42.
It can be divided in two parts, 2364114 and 4114632, that added together give a palindrome (6478746).
The spelling of 23641144114632 in words is "twenty-three trillion, six hundred forty-one billion, one hundred forty-four million, one hundred fourteen thousand, six hundred thirty-two".
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