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30435403140 = 223252921071879
BaseRepresentation
bin11100010110000101…
…110110010110000100
32220120002120200012100
4130112011312112010
5444312430400030
621552024152100
72125134441522
oct342605662604
986502520170
1030435403140
11119a8a9a93a
125a94908630
132b40650aac
14168a1c7312
15bd1e82360
hex716176584

30435403140 has 216 divisors, whose sum is σ = 96558920640. Its totient is φ = 7758874368.

The previous prime is 30435403133. The next prime is 30435403189. The reversal of 30435403140 is 4130453403.

30435403140 is a `hidden beast` number, since 304 + 3 + 5 + 40 + 314 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16196721 + ... + 16198599.

It is an arithmetic number, because the mean of its divisors is an integer number (447032040).

Almost surely, 230435403140 is an apocalyptic number.

30435403140 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 30435403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48279460320).

30435403140 is an abundant number, since it is smaller than the sum of its proper divisors (66123517500).

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

30435403140 is a wasteful number, since it uses less digits than its factorization.

30435403140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 30435403140 its reverse (4130453403), we get a palindrome (34565856543).

The spelling of 30435403140 in words is "thirty billion, four hundred thirty-five million, four hundred three thousand, one hundred forty".