Search a number
-
+
31187718144 = 212331131827
BaseRepresentation
bin11101000010111011…
…101101000000000000
32222111112012020101000
4131002323231000000
51002333023440034
622154421012000
72152601141652
oct350273550000
988445166330
1031187718144
1112254721280
126064854000
132c304791bb
14171c09c6d2
15c2803a599
hex742eed000

31187718144 has 416 divisors, whose sum is σ = 104173793280. Its totient is φ = 9134899200.

The previous prime is 31187718127. The next prime is 31187718151. The reversal of 31187718144 is 44181778113.

It is a self number, because there is not a number n which added to its sum of digits gives 31187718144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37711459 + ... + 37712285.

Almost surely, 231187718144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31187718144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52086896640).

31187718144 is an abundant number, since it is smaller than the sum of its proper divisors (72986075136).

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

31187718144 is a wasteful number, since it uses less digits than its factorization.

31187718144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 874 counting only the distinct ones).

The product of its digits is 150528, while the sum is 45.

The spelling of 31187718144 in words is "thirty-one billion, one hundred eighty-seven million, seven hundred eighteen thousand, one hundred forty-four".