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30140478432 = 2534231912647
BaseRepresentation
bin11100000100100000…
…110011001111100000
32212210112121221120000
4130010200303033200
5443211430302212
621502451020000
72114623560651
oct340440631740
985715557500
1030140478432
1111867572609
125a11b9a600
132ac450c12c
14165cd75528
15bb61271dc
hex7048333e0

30140478432 has 240 divisors, whose sum is σ = 93015724032. Its totient is φ = 9556081920.

The previous prime is 30140478421. The next prime is 30140478463. The reversal of 30140478432 is 23487404103.

30140478432 is a `hidden beast` number, since 3 + 0 + 140 + 478 + 43 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11385333 + ... + 11387979.

Almost surely, 230140478432 is an apocalyptic number.

30140478432 is a gapful number since it is divisible by the number (32) 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 30140478432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46507862016).

30140478432 is an abundant number, since it is smaller than the sum of its proper divisors (62875245600).

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

30140478432 is a wasteful number, since it uses less digits than its factorization.

30140478432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 30140478432 in words is "thirty billion, one hundred forty million, four hundred seventy-eight thousand, four hundred thirty-two".