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14272125156 = 223466372
BaseRepresentation
bin11010100101010111…
…10101100011100100
31100211122112002010000
431102223311203210
5213212131001111
610320113101300
71013451030222
oct152253654344
940748462100
1014272125156
116064273963
122923857830
131465aca093
149956b1b12
15587e87c56
hex352af58e4

14272125156 has 45 divisors (see below), whose sum is σ = 37315776729. Its totient is φ = 4756658256.

The previous prime is 14272125097. The next prime is 14272125157. The reversal of 14272125156 is 65152127241.

The square root of 14272125156 is 119466.

It is a perfect power (a square), and thus also a powerful number.

14272125156 is a `hidden beast` number, since 1 + 427 + 212 + 5 + 15 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 209960100 + 14062165056 = 14490^2 + 118584^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 14272125156.

It is not an unprimeable number, because it can be changed into a prime (14272125157) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2147070 + ... + 2153706.

Almost surely, 214272125156 is an apocalyptic number.

14272125156 is the 119466-th square number.

It is an amenable number.

14272125156 is an abundant number, since it is smaller than the sum of its proper divisors (23043651573).

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

14272125156 is an frugal number, since it uses more digits than its factorization.

14272125156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13290 (or 6642 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

Multiplying 14272125156 by its sum of digits (36), we get a square (513796505616 = 7167962).

14272125156 divided by its sum of digits (36) gives a square (396447921 = 199112).

The spelling of 14272125156 in words is "fourteen billion, two hundred seventy-two million, one hundred twenty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 6637 13274 19911 26548 39822 59733 79644 119466 179199 238932 358398 537597 716796 1075194 2150388 44049769 88099538 132149307 176199076 264298614 396447921 528597228 792895842 1189343763 1585791684 2378687526 3568031289 4757375052 7136062578 14272125156