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144131160225065 = 51333713734792301
BaseRepresentation
bin100000110001011000100110…
…100110110011010100101001
3200220022210201101001000201212
4200301120212212303110221
5122342421104004200230
61230312535123522505
742234063340565006
oct4061304646632451
9626283641030655
10144131160225065
1141a19755501232
12141b9701b29435
136256682889b60
142783db1c308ad
15119e2b00da895
hex8316269b3529

144131160225065 has 32 divisors (see below), whose sum is σ = 186950614739616. Its totient is φ = 106042174156800.

The previous prime is 144131160225037. The next prime is 144131160225109. The reversal of 144131160225065 is 560522061131441.

It can be written as a sum of positive squares in 16 ways, for example, as 11777271830809 + 132353888394256 = 3431803^2 + 11504516^2 .

It is not a de Polignac number, because 144131160225065 - 212 = 144131160220969 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27679415 + ... + 32471715.

It is an arithmetic number, because the mean of its divisors is an integer number (5842206710613).

Almost surely, 2144131160225065 is an apocalyptic number.

It is an amenable number.

144131160225065 is a deficient number, since it is larger than the sum of its proper divisors (42819454514551).

144131160225065 is a wasteful number, since it uses less digits than its factorization.

144131160225065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4794029.

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 144131160225065 in words is "one hundred forty-four trillion, one hundred thirty-one billion, one hundred sixty million, two hundred twenty-five thousand, sixty-five".

Divisors: 1 5 13 65 337 1373 1685 4381 6865 17849 21905 89245 462701 2313505 4792301 6015113 23961505 30075565 62299913 311499565 1615005437 6579829273 8075027185 20995070681 32899146365 85537780549 104975353405 427688902745 2217402465001 11087012325005 28826232045013 144131160225065