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2430204121314 = 232373340198999
BaseRepresentation
bin100011010111010011011…
…101000001000011100010
322121022210002210120010200
4203113103131001003202
5304304024223340224
65100230444210030
7340401503125554
oct43272335010342
98538702716120
102430204121314
11857709964612
12332ba6539916
13148223635938
14858a02334d4
15433363c05c9
hex235d37410e2

2430204121314 has 48 divisors (see below), whose sum is σ = 5268748680000. Its totient is φ = 809559561888.

The previous prime is 2430204121309. The next prime is 2430204121351. The reversal of 2430204121314 is 4131214020342.

2430204121314 is a `hidden beast` number, since 2 + 4 + 302 + 0 + 41 + 2 + 1 + 314 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 270048187 + ... + 270057185.

It is an arithmetic number, because the mean of its divisors is an integer number (109765597500).

Almost surely, 22430204121314 is an apocalyptic number.

2430204121314 is an abundant number, since it is smaller than the sum of its proper divisors (2838544558686).

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

2430204121314 is a wasteful number, since it uses less digits than its factorization.

2430204121314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16759 (or 16756 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2430204121314 its reverse (4131214020342), we get a palindrome (6561418141656).

The spelling of 2430204121314 in words is "two trillion, four hundred thirty billion, two hundred four million, one hundred twenty-one thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 3733 4019 7466 8038 8999 11199 12057 17998 22398 24114 26997 33597 36171 53994 67194 72342 80991 161982 15002927 30005854 33593267 36166981 45008781 67186534 72333962 90017562 100779801 108500943 135026343 201559602 217001886 270052686 302339403 325502829 604678806 651005658 135011340073 270022680146 405034020219 810068040438 1215102060657 2430204121314