Base | Representation |
---|---|
bin | 100111010000010000… |
… | …110101101010100000 |
3 | 11000210102100220111000 |
4 | 213100100311222200 |
5 | 1142310041440304 |
6 | 31210214352000 |
7 | 3021325503402 |
oct | 472020655240 |
9 | 130712326430 |
10 | 42148780704 |
11 | 16969984868 |
12 | 820365b600 |
13 | 3c892bc834 |
14 | 207bb14b72 |
15 | 116a487939 |
hex | 9d0435aa0 |
42148780704 has 96 divisors (see below), whose sum is σ = 123015594240. Its totient is φ = 14040262656.
The previous prime is 42148780669. The next prime is 42148780721. The reversal of 42148780704 is 40708784124.
42148780704 is a `hidden beast` number, since 4 + 21 + 487 + 80 + 70 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (96).
It is a self number, because there is not a number n which added to its sum of digits gives 42148780704.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1352304 + ... + 1383120.
It is an arithmetic number, because the mean of its divisors is an integer number (1281412440).
Almost surely, 242148780704 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 42148780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61507797120).
42148780704 is an abundant number, since it is smaller than the sum of its proper divisors (80866813536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42148780704 is a wasteful number, since it uses less digits than its factorization.
42148780704 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 32419 (or 32405 counting only the distinct ones).
The product of its (nonzero) digits is 401408, while the sum is 45.
The spelling of 42148780704 in words is "forty-two billion, one hundred forty-eight million, seven hundred eighty thousand, seven hundred four".
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