Search a number
-
+
30731712000 = 293531114551
BaseRepresentation
bin11100100111110000…
…001011011000000000
32221022202010201112120
4130213300023120000
51000414304241000
622041251124240
72135363145663
oct344760133000
987282121476
1030731712000
11120402830a0
125b57ba3680
132b89b58792
1416b76b96da
15beceb26a0
hex727c0b600

30731712000 has 320 divisors, whose sum is σ = 111471579648. Its totient is φ = 7449600000.

The previous prime is 30731711999. The next prime is 30731712041. The reversal of 30731712000 is 21713703.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2104725 + ... + 2119275.

Almost surely, 230731712000 is an apocalyptic number.

30731712000 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 30731712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55735789824).

30731712000 is an abundant number, since it is smaller than the sum of its proper divisors (80739867648).

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

30731712000 is a wasteful number, since it uses less digits than its factorization.

30731712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14598 (or 14572 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The spelling of 30731712000 in words is "thirty billion, seven hundred thirty-one million, seven hundred twelve thousand".