Search a number
-
+
30394042560 = 2633571972551
BaseRepresentation
bin11100010011101000…
…000100100011000000
32220110012202100011000
4130103220010203000
5444221333330220
621543545452000
72124123045660
oct342350044300
986405670130
1030394042560
1111987710042
125a82aa1000
132b34bcbb8b
1416848dc1a0
15bcd512390
hex713a048c0

30394042560 has 448 divisors, whose sum is σ = 123211376640. Its totient is φ = 6909235200.

The previous prime is 30394042559. The next prime is 30394042561. The reversal of 30394042560 is 6524049303.

30394042560 is a `hidden beast` number, since 3 + 0 + 3 + 94 + 0 + 4 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (30394042559) and next prime (30394042561).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is not an unprimeable number, because it can be changed into a prime (30394042561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11913285 + ... + 11915835.

Almost surely, 230394042560 is an apocalyptic number.

30394042560 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 30394042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61605688320).

30394042560 is an abundant number, since it is smaller than the sum of its proper divisors (92817334080).

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

30394042560 is a wasteful number, since it uses less digits than its factorization.

30394042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 30394042560 in words is "thirty billion, three hundred ninety-four million, forty-two thousand, five hundred sixty".