Base | Representation |
---|---|
bin | 11100000000111100… |
… | …10100000101110000 |
3 | 1102211012001000222200 |
4 | 32000132110011300 |
5 | 221300311112034 |
6 | 10524234303200 |
7 | 1041466466565 |
oct | 160036240560 |
9 | 42735030880 |
10 | 15040332144 |
11 | 641896a172 |
12 | 2ab8b87b00 |
13 | 1558ccab26 |
14 | a2972286c |
15 | 5d062ea99 |
hex | 380794170 |
15040332144 has 120 divisors (see below), whose sum is σ = 43167103200. Its totient is φ = 4886999040.
The previous prime is 15040332137. The next prime is 15040332179. The reversal of 15040332144 is 44123304051.
It is a happy number.
15040332144 is a `hidden beast` number, since 150 + 40 + 332 + 144 = 666.
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 23 ways as a sum of consecutive naturals, for example, 901672 + ... + 918200.
It is an arithmetic number, because the mean of its divisors is an integer number (359725860).
Almost surely, 215040332144 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 15040332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21583551600).
15040332144 is an abundant number, since it is smaller than the sum of its proper divisors (28126771056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
15040332144 is a wasteful number, since it uses less digits than its factorization.
15040332144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16703 (or 16694 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
Adding to 15040332144 its reverse (44123304051), we get a palindrome (59163636195).
The spelling of 15040332144 in words is "fifteen billion, forty million, three hundred thirty-two thousand, one hundred forty-four".
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