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144130132131 = 3317121827977
BaseRepresentation
bin1000011000111011010…
…0110100100010100011
3111210000200021022220220
42012032310310202203
54330134303212011
6150113520534123
713261451623566
oct2061664644243
9453020238826
10144130132131
115614177a587
1223b24a81343
131078c44736b
146d93d784dd
153b385ee506
hex218ed348a3

144130132131 has 16 divisors (see below), whose sum is σ = 201166645248. Its totient is φ = 91677499200.

The previous prime is 144130132073. The next prime is 144130132141. The reversal of 144130132131 is 131231031441.

It is a happy number.

It is not a de Polignac number, because 144130132131 - 233 = 135540197539 is a prime.

It is a super-2 number, since 2×1441301321312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144130132141) 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, 10907386 + ... + 10920591.

It is an arithmetic number, because the mean of its divisors is an integer number (12572915328).

Almost surely, 2144130132131 is an apocalyptic number.

144130132131 is a deficient number, since it is larger than the sum of its proper divisors (57036513117).

144130132131 is a wasteful number, since it uses less digits than its factorization.

144130132131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21828082.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 144130132131 its reverse (131231031441), we get a palindrome (275361163572).

The spelling of 144130132131 in words is "one hundred forty-four billion, one hundred thirty million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 31 71 93 213 2201 6603 21827977 65483931 676667287 1549786367 2030001861 4649359101 48043377377 144130132131