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144131344240311 = 3273609121756269
BaseRepresentation
bin100000110001011000110001…
…100100110000111010110111
3200220022211012012021222012100
4200301120301210300322313
5122342421443111142221
61230313005255553143
742234101033645421
oct4061306144607267
9626284165258170
10144131344240311
1141a1983a36664a
12141b975368b7b3
1362566b1a3850c
142783dcc451811
15119e2c1338926
hex831631930eb7

144131344240311 has 12 divisors (see below), whose sum is σ = 208190011858920. Its totient is φ = 96087427872720.

The previous prime is 144131344240267. The next prime is 144131344240321. The reversal of 144131344240311 is 113042443131441.

144131344240311 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 313 + 4 + 4 + 24 + 0 + 311 = 666.

It is not a de Polignac number, because 144131344240311 - 210 = 144131344239287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144131344240321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4253316 + ... + 17502953.

It is an arithmetic number, because the mean of its divisors is an integer number (17349167654910).

Almost surely, 2144131344240311 is an apocalyptic number.

144131344240311 is a deficient number, since it is larger than the sum of its proper divisors (64058667618609).

144131344240311 is a wasteful number, since it uses less digits than its factorization.

144131344240311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22492366 (or 22492363 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 144131344240311 its reverse (113042443131441), we get a palindrome (257173787371752).

The spelling of 144131344240311 in words is "one hundred forty-four trillion, one hundred thirty-one billion, three hundred forty-four million, two hundred forty thousand, three hundred eleven".

Divisors: 1 3 9 736091 2208273 6624819 21756269 65268807 195806421 16014593804479 48043781413437 144131344240311