Search a number
-
+
131455399320 = 233257293178037
BaseRepresentation
bin111101001101101011…
…0100011010110011000
3110120022100112012011100
41322123112203112120
54123210040234240
6140220105231400
712332405313030
oct1723326432630
9416270465140
10131455399320
1150828167193
1221588192560
13c51c57c16b
1465108bc8c0
1536459ece30
hex1e9b5a3598

131455399320 has 192 divisors, whose sum is σ = 489932089920. Its totient is φ = 29944230912.

The previous prime is 131455399319. The next prime is 131455399321. The reversal of 131455399320 is 23993554131.

131455399320 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 5 + 539 + 93 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (131455399319) and next prime (131455399321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131455399321) 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, 649342 + ... + 827378.

It is an arithmetic number, because the mean of its divisors is an integer number (2551729635).

Almost surely, 2131455399320 is an apocalyptic number.

131455399320 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 131455399320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244966044960).

131455399320 is an abundant number, since it is smaller than the sum of its proper divisors (358476690600).

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

131455399320 is a wasteful number, since it uses less digits than its factorization.

131455399320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178354 (or 178347 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 131455399320 in words is "one hundred thirty-one billion, four hundred fifty-five million, three hundred ninety-nine thousand, three hundred twenty".