Base | Representation |
---|---|
bin | 10010111001010110… |
… | …00111110001001000 |
3 | 222012000010022110200 |
4 | 21130223013301020 |
5 | 131234023224342 |
6 | 4354353012200 |
7 | 506252613444 |
oct | 113453076110 |
9 | 28160108420 |
10 | 10144742472 |
11 | 4336496197 |
12 | 1b71554060 |
13 | c589982c7 |
14 | 6c347d824 |
15 | 3e594e94c |
hex | 25cac7c48 |
10144742472 has 24 divisors (see below), whose sum is σ = 27475344390. Its totient is φ = 3381580800.
The previous prime is 10144742453. The next prime is 10144742507. The reversal of 10144742472 is 27424744101.
10144742472 is a `hidden beast` number, since 1 + 0 + 144 + 7 + 42 + 472 = 666.
It can be written as a sum of positive squares in only one way, i.e., 9355919076 + 788823396 = 96726^2 + 28086^2 .
It is a tau number, because it is divible by the number of its divisors (24).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70449529 + ... + 70449672.
Almost surely, 210144742472 is an apocalyptic number.
10144742472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10144742472 is an abundant number, since it is smaller than the sum of its proper divisors (17330601918).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10144742472 is a wasteful number, since it uses less digits than its factorization.
10144742472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 140899213 (or 140899206 counting only the distinct ones).
The product of its (nonzero) digits is 50176, while the sum is 36.
The spelling of 10144742472 in words is "ten billion, one hundred forty-four million, seven hundred forty-two thousand, four hundred seventy-two".
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