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144413025304131 = 3263125429305389
BaseRepresentation
bin100000110101011111000111…
…000100101111111001000011
3200221022202021000220121201200
4200311133013010233321003
5122412030333434213011
61231050232234432243
742263332251330633
oct4065370704577103
9627282230817650
10144413025304131
1142018246a42a71
1214244265b92683
1362771225388cc
1427938b06646c3
1511a67aa63e856
hex8357c712fe43

144413025304131 has 12 divisors (see below), whose sum is σ = 208927173084240. Its totient is φ = 96122774366640.

The previous prime is 144413025304109. The next prime is 144413025304147. The reversal of 144413025304131 is 131403520314441.

144413025304131 is a `hidden beast` number, since 1 + 4 + 4 + 41 + 302 + 5 + 304 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 144413025304131 - 237 = 144275586350659 is a prime.

It is a super-2 number, since 2×1444130253041312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144413025304181) 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, 12714647016 + ... + 12714658373.

It is an arithmetic number, because the mean of its divisors is an integer number (17410597757020).

Almost surely, 2144413025304131 is an apocalyptic number.

144413025304131 is a deficient number, since it is larger than the sum of its proper divisors (64514147780109).

144413025304131 is a wasteful number, since it uses less digits than its factorization.

144413025304131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25429306026 (or 25429306023 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 144413025304131 its reverse (131403520314441), we get a palindrome (275816545618572).

The spelling of 144413025304131 in words is "one hundred forty-four trillion, four hundred thirteen billion, twenty-five million, three hundred four thousand, one hundred thirty-one".

Divisors: 1 3 9 631 1893 5679 25429305389 76287916167 228863748501 16045891700459 48137675101377 144413025304131