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14230641672 = 23321315203677
BaseRepresentation
bin11010100000011011…
…00101110000001000
31100201202110111110200
431100031211300020
5213121021013142
610312032012200
71012435313142
oct152015456010
940652414420
1014230641672
11604290a795
122911991060
13145a334240
1498dd93c92
155844e164c
hex350365c08

14230641672 has 48 divisors (see below), whose sum is σ = 41506040940. Its totient is φ = 4378658688.

The previous prime is 14230641643. The next prime is 14230641697. The reversal of 14230641672 is 27614603241.

14230641672 is a `hidden beast` number, since 1 + 4 + 2 + 3 + 0 + 641 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13422149316 + 808492356 = 115854^2 + 28434^2 .

It is a super-2 number, since 2×142306416722 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7600903 + ... + 7602774.

Almost surely, 214230641672 is an apocalyptic number.

14230641672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14230641672 is an abundant number, since it is smaller than the sum of its proper divisors (27275399268).

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

14230641672 is a wasteful number, since it uses less digits than its factorization.

14230641672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15203702 (or 15203695 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 14230641672 in words is "fourteen billion, two hundred thirty million, six hundred forty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 15203677 30407354 45611031 60814708 91222062 121629416 136833093 182444124 197647801 273666186 364888248 395295602 547332372 592943403 790591204 1094664744 1185886806 1581182408 1778830209 2371773612 3557660418 4743547224 7115320836 14230641672