Base | Representation |
---|---|
bin | 101100000100000110… |
… | …010101000011110000 |
3 | 11112010100112011120100 |
4 | 230010012111003300 |
5 | 1233344213030430 |
6 | 33422510312400 |
7 | 3263320222500 |
oct | 540406250360 |
9 | 145110464510 |
10 | 47313408240 |
11 | 1907a20498a |
12 | 92051b8700 |
13 | 460029c267 |
14 | 240b9cba00 |
15 | 136daac960 |
hex | b041950f0 |
47313408240 has 360 divisors, whose sum is σ = 187378306128. Its totient is φ = 10665768960.
The previous prime is 47313408221. The next prime is 47313408251. The reversal of 47313408240 is 4280431374.
47313408240 is a `hidden beast` number, since 4 + 7 + 3 + 1 + 3 + 408 + 240 = 666.
It is a tau number, because it is divible by the number of its divisors (360).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 47313408195 and 47313408204.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2566255 + ... + 2584625.
Almost surely, 247313408240 is an apocalyptic number.
47313408240 is a gapful number since it is divisible by the number (40) 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 47313408240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93689153064).
47313408240 is an abundant number, since it is smaller than the sum of its proper divisors (140064897888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
47313408240 is a wasteful number, since it uses less digits than its factorization.
47313408240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 18477 (or 18461 counting only the distinct ones).
The product of its (nonzero) digits is 64512, while the sum is 36.
The spelling of 47313408240 in words is "forty-seven billion, three hundred thirteen million, four hundred eight thousand, two hundred forty".
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