Base | Representation |
---|---|
bin | 10011010111110011… |
… | …01110111101000000 |
3 | 222211210212111011100 |
4 | 21223321232331000 |
5 | 132244424344412 |
6 | 4440001014400 |
7 | 515504335566 |
oct | 115371567500 |
9 | 28753774140 |
10 | 10400231232 |
11 | 4457728726 |
12 | 2023024400 |
13 | c998b00a1 |
14 | 709387a36 |
15 | 40d0b9edc |
hex | 26be6ef40 |
10400231232 has 84 divisors (see below), whose sum is σ = 29886131236. Its totient is φ = 3457935360.
The previous prime is 10400231213. The next prime is 10400231269. The reversal of 10400231232 is 23213200401.
10400231232 is a `hidden beast` number, since 1 + 0 + 400 + 2 + 31 + 232 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 2772654336 + 7627576896 = 52656^2 + 87336^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205932 + ... + 251412.
Almost surely, 210400231232 is an apocalyptic number.
10400231232 is a gapful number since it is divisible by the number (12) 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 10400231232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14943065618).
10400231232 is an abundant number, since it is smaller than the sum of its proper divisors (19485900004).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10400231232 is a wasteful number, since it uses less digits than its factorization.
10400231232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 45896 (or 45883 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
Adding to 10400231232 its reverse (23213200401), we get a palindrome (33613431633).
The spelling of 10400231232 in words is "ten billion, four hundred million, two hundred thirty-one thousand, two hundred thirty-two".
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