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30430312144 = 2419563177797
BaseRepresentation
bin11100010101110010…
…011011011011010000
32220112202000000122221
4130111302123123100
5444310124442034
621551323110424
72125043246131
oct342562333320
986482000587
1030430312144
11119a6132a01
125a93072414
132b3c58a77b
14168965dc88
15bd17c8bb4
hex715c9b6d0

30430312144 has 40 divisors (see below), whose sum is σ = 62172404640. Its totient is φ = 14388674688.

The previous prime is 30430312117. The next prime is 30430312147. The reversal of 30430312144 is 44121303403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30430312147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82254 + ... + 260050.

It is an arithmetic number, because the mean of its divisors is an integer number (1554310116).

Almost surely, 230430312144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30430312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31086202320).

30430312144 is an abundant number, since it is smaller than the sum of its proper divisors (31742092496).

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

30430312144 is a wasteful number, since it uses less digits than its factorization.

30430312144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178387 (or 178381 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 30430312144 its reverse (44121303403), we get a palindrome (74551615547).

The spelling of 30430312144 in words is "thirty billion, four hundred thirty million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 19 38 76 152 304 563 1126 2252 4504 9008 10697 21394 42788 85576 171152 177797 355594 711188 1422376 2844752 3378143 6756286 13512572 27025144 54050288 100099711 200199422 400398844 800797688 1601595376 1901894509 3803789018 7607578036 15215156072 30430312144