Search a number
-
+
31394961360 = 24325723270833
BaseRepresentation
bin11101001111010010…
…010001011111010000
310000000222011021121200
4131033102101133100
51003244102230420
622231142551200
72160665524410
oct351722213720
9100028137550
1031394961360
1112350701164
126102138500
132c6439b319
14173b808640
15c3b325b90
hex74f4917d0

31394961360 has 240 divisors, whose sum is σ = 125736309504. Its totient is φ = 6863966208.

The previous prime is 31394961319. The next prime is 31394961449. The reversal of 31394961360 is 6316949313.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 19497 + ... + 251336.

Almost surely, 231394961360 is an apocalyptic number.

31394961360 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 31394961360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62868154752).

31394961360 is an abundant number, since it is smaller than the sum of its proper divisors (94341348144).

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

31394961360 is a wasteful number, since it uses less digits than its factorization.

31394961360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270882 (or 270873 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The spelling of 31394961360 in words is "thirty-one billion, three hundred ninety-four million, nine hundred sixty-one thousand, three hundred sixty".