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30312942660 = 22365711133167
BaseRepresentation
bin11100001110110010…
…101100110001000100
32220020120011001000000
4130032302230301010
5444040103131120
621531531321300
72122116522060
oct341662546104
986216131000
1030312942660
1111945958530
125a5b8b0230
132b21174c80
141677c2aaa0
15bc6342990
hex70ecacc44

30312942660 has 1344 divisors, whose sum is σ = 134254116864. Its totient is φ = 5542732800.

The previous prime is 30312942617. The next prime is 30312942701. The reversal of 30312942660 is 6624921303.

30312942660 is a `hidden beast` number, since 303 + 1 + 2 + 94 + 266 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 452431947 + ... + 452432013.

It is an arithmetic number, because the mean of its divisors is an integer number (99891456).

Almost surely, 230312942660 is an apocalyptic number.

30312942660 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 30312942660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67127058432).

30312942660 is an abundant number, since it is smaller than the sum of its proper divisors (103941174204).

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

30312942660 is a wasteful number, since it uses less digits than its factorization.

30312942660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 30312942660 in words is "thirty billion, three hundred twelve million, nine hundred forty-two thousand, six hundred sixty".