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30427502040 = 23335133758573
BaseRepresentation
bin11100010101100111…
…101101010111011000
32220112112201020221000
4130111213231113120
5444303420031130
621551142545000
72125010333325
oct342547552730
986475636830
1030427502040
11119a4593701
125a92138160
132b3bb156a0
14168912bb4c
15bd1421260
hex7159ed5d8

30427502040 has 256 divisors, whose sum is σ = 112180924800. Its totient is φ = 7287293952.

The previous prime is 30427502029. The next prime is 30427502041. The reversal of 30427502040 is 4020572403.

30427502040 is a `hidden beast` number, since 30 + 427 + 5 + 0 + 204 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 30427501995 and 30427502013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30427502041) 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, 490194 + ... + 548766.

Almost surely, 230427502040 is an apocalyptic number.

30427502040 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 30427502040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56090462400).

30427502040 is an abundant number, since it is smaller than the sum of its proper divisors (81753422760).

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

30427502040 is a wasteful number, since it uses less digits than its factorization.

30427502040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58643 (or 58633 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 30427502040 in words is "thirty billion, four hundred twenty-seven million, five hundred two thousand, forty".