Base | Representation |
---|---|
bin | 1101111100011001100101… |
… | …0010011010101000010110 |
3 | 2000021122210100121021112100 |
4 | 3133012121102122220112 |
5 | 4002142010331134032 |
6 | 52335035005102530 |
7 | 3141436103666433 |
oct | 337063122325026 |
9 | 60248710537470 |
10 | 15331310021142 |
11 | 4980a76903105 |
12 | 1877388857a46 |
13 | 8729759497cb |
14 | 3b007a030b8a |
15 | 1b8c0896b97c |
hex | df19949aa16 |
15331310021142 has 96 divisors (see below), whose sum is σ = 34852659004800. Its totient is φ = 4864341049344.
The previous prime is 15331310021123. The next prime is 15331310021143. The reversal of 15331310021142 is 24112001313351.
15331310021142 is a `hidden beast` number, since 1 + 5 + 331 + 310 + 0 + 2 + 1 + 14 + 2 = 666.
15331310021142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×153313100211422 (a number of 27 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (15331310021143) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12423859 + ... + 13602017.
It is an arithmetic number, because the mean of its divisors is an integer number (363048531300).
Almost surely, 215331310021142 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 15331310021142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426329502400).
15331310021142 is an abundant number, since it is smaller than the sum of its proper divisors (19521348983658).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
15331310021142 is a wasteful number, since it uses less digits than its factorization.
15331310021142 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1178550 (or 1178547 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
Adding to 15331310021142 its reverse (24112001313351), we get a palindrome (39443311334493).
The spelling of 15331310021142 in words is "fifteen trillion, three hundred thirty-one billion, three hundred ten million, twenty-one thousand, one hundred forty-two".
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