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144131334204205 = 5316623914038249
BaseRepresentation
bin100000110001011000110000…
…111110011110101100101101
3200220022211011111102002020201
4200301120300332132230231
5122342421433024013310
61230313004300513501
742234100552435555
oct4061306076365455
9626284144362221
10144131334204205
1141a19834731347
12141b975024b891
1362566ac9333aa
142783dcad9c165
15119e2c0504e3a
hex831630f9eb2d

144131334204205 has 16 divisors (see below), whose sum is σ = 178539586560000. Its totient is φ = 111583856522880.

The previous prime is 144131334204167. The next prime is 144131334204233. The reversal of 144131334204205 is 502402433131441.

144131334204205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-144131334204205 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3247921 + ... + 17286169.

It is an arithmetic number, because the mean of its divisors is an integer number (11158724160000).

Almost surely, 2144131334204205 is an apocalyptic number.

It is an amenable number.

144131334204205 is a deficient number, since it is larger than the sum of its proper divisors (34408252355795).

144131334204205 is a wasteful number, since it uses less digits than its factorization.

144131334204205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14104524.

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 144131334204205 its reverse (502402433131441), we get a palindrome (646533767335646).

The spelling of 144131334204205 in words is "one hundred forty-four trillion, one hundred thirty-one billion, three hundred thirty-four million, two hundred four thousand, two hundred five".

Divisors: 1 5 31 155 66239 331195 2053409 10267045 14038249 70191245 435185719 2175928595 929879575511 4649397877555 28826266840841 144131334204205