Base | Representation |
---|---|
bin | 111011100001110001100111… |
… | …0101010000110010000101100 |
3 | 2112122221202212010022211102100 |
4 | 1313003203032222012100230 |
5 | 1022112322343123212030 |
6 | 5053343451150055100 |
7 | 215201453406550656 |
oct | 16703431652062054 |
9 | 2478852763284370 |
10 | 523611520132140 |
11 | 141925442654940 |
12 | 4a8875067aa490 |
13 | 1962247ba42b4b |
14 | 9342d0b83b6d6 |
15 | 408050d3c8360 |
hex | 1dc38cea8642c |
523611520132140 has 576 divisors, whose sum is σ = 1752342564510720. Its totient is φ = 125504225280000.
The previous prime is 523611520132139. The next prime is 523611520132147. The reversal of 523611520132140 is 41231025116325.
523611520132140 is a `hidden beast` number, since 5 + 2 + 3 + 61 + 1 + 520 + 1 + 32 + 1 + 40 = 666.
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 = 523611520132095 and 523611520132104.
It is not an unprimeable number, because it can be changed into a prime (523611520132147) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 148373905896 + ... + 148373909424.
It is an arithmetic number, because the mean of its divisors is an integer number (3042261396720).
Almost surely, 2523611520132140 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 523611520132140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876171282255360).
523611520132140 is an abundant number, since it is smaller than the sum of its proper divisors (1228731044378580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
523611520132140 is a wasteful number, since it uses less digits than its factorization.
523611520132140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5894 (or 5889 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
Adding to 523611520132140 its reverse (41231025116325), we get a palindrome (564842545248465).
The spelling of 523611520132140 in words is "five hundred twenty-three trillion, six hundred eleven billion, five hundred twenty million, one hundred thirty-two thousand, one hundred forty".
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