Base | Representation |
---|---|
bin | 1010011110100111010001… |
… | …10110010011001001000000 |
3 | 10000120210201100020112100022 |
4 | 11033103220312103021000 |
5 | 11010010220421432112 |
6 | 121001222201113012 |
7 | 4565510664644240 |
oct | 517235066231100 |
9 | 100523640215308 |
10 | 23042111124032 |
11 | 7384117028560 |
12 | 2701870488768 |
13 | cb1b2837a3c0 |
14 | 59935bc65b20 |
15 | 29e5a15c4d72 |
hex | 14f4e8d93240 |
23042111124032 has 112 divisors (see below), whose sum is σ = 61391918620032. Its totient is φ = 8286873108480.
The previous prime is 23042111124031. The next prime is 23042111124121.
It is a happy number.
23042111124032 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a junction number, because it is equal to n+sod(n) for n = 23042111123992 and 23042111124010.
It is not an unprimeable number, because it can be changed into a prime (23042111124031) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179772593 + ... + 179900720.
It is an arithmetic number, because the mean of its divisors is an integer number (548142130536).
Almost surely, 223042111124032 is an apocalyptic number.
23042111124032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is an amenable number.
23042111124032 is an abundant number, since it is smaller than the sum of its proper divisors (38349807496000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23042111124032 is a wasteful number, since it uses less digits than its factorization.
23042111124032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 359673356 (or 359673346 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 26.
It can be divided in two parts, 2304211 and 1124032, that added together give a palindrome (3428243).
The spelling of 23042111124032 in words is "twenty-three trillion, forty-two billion, one hundred eleven million, one hundred twenty-four thousand, thirty-two".
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