Search a number
-
+
131021440244240 = 245721337943315667
BaseRepresentation
bin11101110010100111001110…
…011001110101101000010000
3122011220112020110000222011212
4131302213032121311220100
5114133123402200303430
61142354230235155252
736411662300423300
oct3562471631655020
9564815213028155
10131021440244240
1138824976328a37
12128409bb2a5b28
135815365727b80
14244d685cb7600
15102327d21eb95
hex7729ce675a10

131021440244240 has 480 divisors, whose sum is σ = 383532988567680. Its totient is φ = 41258571153408.

The previous prime is 131021440244197. The next prime is 131021440244353. The reversal of 131021440244240 is 42442044120131.

It is a junction number, because it is equal to n+sod(n) for n = 131021440244197 and 131021440244206.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8362884887 + ... + 8362900553.

It is an arithmetic number, because the mean of its divisors is an integer number (799027059516).

Almost surely, 2131021440244240 is an apocalyptic number.

131021440244240 is a gapful number since it is divisible by the number (10) 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 131021440244240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191766494283840).

131021440244240 is an abundant number, since it is smaller than the sum of its proper divisors (252511548323440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131021440244240 is a wasteful number, since it uses less digits than its factorization.

131021440244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16519 (or 16506 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 131021440244240 its reverse (42442044120131), we get a palindrome (173463484364371).

The spelling of 131021440244240 in words is "one hundred thirty-one trillion, twenty-one billion, four hundred forty million, two hundred forty-four thousand, two hundred forty".