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14431014660 = 22352310457257
BaseRepresentation
bin11010111000010011…
…11100111100000100
31101020201111111112110
431130021330330010
5214023314432120
610343550421020
71020420413016
oct153411747404
941221444473
1014431014660
116135a279a7
122968b01770
13148c9bc23a
149ac8321b6
15596dc12e0
hex35c27cf04

14431014660 has 48 divisors (see below), whose sum is σ = 42163664256. Its totient is φ = 3680954112.

The previous prime is 14431014643. The next prime is 14431014667. The reversal of 14431014660 is 6641013441.

14431014660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14431014667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5227249 + ... + 5230008.

It is an arithmetic number, because the mean of its divisors is an integer number (878409672).

Almost surely, 214431014660 is an apocalyptic number.

14431014660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14431014660 is an abundant number, since it is smaller than the sum of its proper divisors (27732649596).

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

14431014660 is a wasteful number, since it uses less digits than its factorization.

14431014660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10457292 (or 10457290 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 14431014660 in words is "fourteen billion, four hundred thirty-one million, fourteen thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 10457257 20914514 31371771 41829028 52286285 62743542 104572570 125487084 156858855 209145140 240516911 313717710 481033822 627435420 721550733 962067644 1202584555 1443101466 2405169110 2886202932 3607753665 4810338220 7215507330 14431014660