Search a number
-
+
31146425856 = 29367213131
BaseRepresentation
bin11101000000011110…
…001011111000000000
32222101122111101000000
4131000132023320000
51002241441111411
622150344000000
72151560152200
oct350036137000
988348441000
1031146425856
1112233388817
126052a60000
132c24a4c3b0
1417167d0400
15c245d0956
hex74078be00

31146425856 has 840 divisors, whose sum is σ = 117780289704. Its totient is φ = 8151736320.

The previous prime is 31146425819. The next prime is 31146425861. The reversal of 31146425856 is 65852464113.

31146425856 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 64 + 2 + 585 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 237758911 + ... + 237759041.

Almost surely, 231146425856 is an apocalyptic number.

31146425856 is a gapful number since it is divisible by the number (36) 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 31146425856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58890144852).

31146425856 is an abundant number, since it is smaller than the sum of its proper divisors (86633863848).

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

31146425856 is an equidigital number, since it uses as much as digits as its factorization.

31146425856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 156 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

Adding to 31146425856 its reverse (65852464113), we get a palindrome (96998889969).

The spelling of 31146425856 in words is "thirty-one billion, one hundred forty-six million, four hundred twenty-five thousand, eight hundred fifty-six".