Search a number
-
+
131132139840 = 26335139971171
BaseRepresentation
bin111101000100000010…
…1011010100101000000
3110112110211020220112000
41322020011122211000
54122024311433330
6140124040504000
712321401540412
oct1721005324500
9415424226460
10131132139840
1150681746599
12214b7a7b000
13c49a5c9470
1464bd9b29b2
153627447560
hex1e8815a940

131132139840 has 448 divisors, whose sum is σ = 499115608320. Its totient is φ = 32218767360.

The previous prime is 131132139833. The next prime is 131132139847. The reversal of 131132139840 is 48931231131.

131132139840 is a `hidden beast` number, since 1 + 311 + 3 + 213 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (131132139833) and next prime (131132139847).

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 = 131132139795 and 131132139804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131132139847) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111982455 + ... + 111983625.

It is an arithmetic number, because the mean of its divisors is an integer number (1114097340).

Almost surely, 2131132139840 is an apocalyptic number.

131132139840 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 131132139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249557804160).

131132139840 is an abundant number, since it is smaller than the sum of its proper divisors (367983468480).

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

131132139840 is a wasteful number, since it uses less digits than its factorization.

131132139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 131132139840 in words is "one hundred thirty-one billion, one hundred thirty-two million, one hundred thirty-nine thousand, eight hundred forty".