Base | Representation |
---|---|
bin | 10101100011010111… |
… | …101110011100010000 |
3 | 2012201210202102111221 |
4 | 111203113232130100 |
5 | 334343323003100 |
6 | 14344205214424 |
7 | 1446323520631 |
oct | 254327563420 |
9 | 65653672457 |
10 | 23142000400 |
11 | 98a6068472 |
12 | 459a261414 |
13 | 224a619b7c |
14 | 11976d3888 |
15 | 906a0e01a |
hex | 5635ee710 |
23142000400 has 60 divisors (see below), whose sum is σ = 55626727732. Its totient is φ = 9252126720.
The previous prime is 23142000317. The next prime is 23142000443. The reversal of 23142000400 is 400024132.
It can be written as a sum of positive squares in 6 ways, for example, as 3978581776 + 19163418624 = 63076^2 + 138432^2 .
It is a Harshad number since it is a multiple of its sum of digits (16).
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 841264 + ... + 868336.
Almost surely, 223142000400 is an apocalyptic number.
23142000400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
23142000400 is an abundant number, since it is smaller than the sum of its proper divisors (32484727332).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23142000400 is a wasteful number, since it uses less digits than its factorization.
23142000400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 29228 (or 29217 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
Adding to 23142000400 its reverse (400024132), we get a palindrome (23542024532).
The spelling of 23142000400 in words is "twenty-three billion, one hundred forty-two million, four hundred", and thus it is an aban number.
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