Search a number
-
+
31382215840 = 2554753711109
BaseRepresentation
bin11101001110100001…
…101001110010100000
310000000002011202001101
4131032201221302200
51003232321401330
622230005444144
72160452301433
oct351641516240
9100002152041
1031382215840
1112344496278
1260b9a10654
132c61857bb1
141739c4b81a
15c3a1594ca
hex74e869ca0

31382215840 has 192 divisors, whose sum is σ = 78303697920. Its totient is φ = 11873505280.

The previous prime is 31382215831. The next prime is 31382215877. The reversal of 31382215840 is 4851228313.

It is a self number, because there is not a number n which added to its sum of digits gives 31382215840.

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, 28297206 + ... + 28298314.

It is an arithmetic number, because the mean of its divisors is an integer number (407831760).

Almost surely, 231382215840 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 31382215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39151848960).

31382215840 is an abundant number, since it is smaller than the sum of its proper divisors (46921482080).

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

31382215840 is a wasteful number, since it uses less digits than its factorization.

31382215840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 31382215840 in words is "thirty-one billion, three hundred eighty-two million, two hundred fifteen thousand, eight hundred forty".