Search a number
-
+
31309189038360 = 233251732811789027
BaseRepresentation
bin1110001111001101111010…
…00101110100000100011000
311002212010111012211201121100
413013212331011310010120
513100432204343211420
6150331124243511400
76411004614533112
oct707467505640430
9132763435751540
1031309189038360
119a81174a8a822
123617b20088560
1314615a020379c
147a35310b83b2
153946557bc190
hex1c79bd174118

31309189038360 has 192 divisors, whose sum is σ = 102707310307680. Its totient is φ = 8271311247360.

The previous prime is 31309189038359. The next prime is 31309189038427. The reversal of 31309189038360 is 6383098190313.

31309189038360 is a `hidden beast` number, since 3 + 1 + 30 + 91 + 8 + 90 + 383 + 60 = 666.

31309189038360 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 31309189038297 and 31309189038306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16606167 + ... + 18395193.

Almost surely, 231309189038360 is an apocalyptic number.

31309189038360 is a gapful number since it is divisible by the number (30) 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 31309189038360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51353655153840).

31309189038360 is an abundant number, since it is smaller than the sum of its proper divisors (71398121269320).

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

31309189038360 is a wasteful number, since it uses less digits than its factorization.

31309189038360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789498 (or 1789491 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 31309189038360 in words is "thirty-one trillion, three hundred nine billion, one hundred eighty-nine million, thirty-eight thousand, three hundred sixty".