Search a number
-
+
135041395872159 = 32722318481520111
BaseRepresentation
bin11110101101000111000110…
…011011100101000110011111
3122201010211110001202121022100
4132231013012123211012133
5120200004234320402114
61155113054423420143
740305263451445560
oct3655070633450637
9581124401677270
10135041395872159
113a0348094a2187
121318bb162b4653
135a4746c96365a
14254c07766c167
151092b0b0cd909
hex7ad1c66e519f

135041395872159 has 48 divisors (see below), whose sum is σ = 223937691787264. Its totient is φ = 76816169337600.

The previous prime is 135041395872101. The next prime is 135041395872193. The reversal of 135041395872159 is 951278593140531.

It is a happy number.

135041395872159 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 4 + 1 + 39 + 587 + 2 + 15 + 9 = 666.

It is not a de Polignac number, because 135041395872159 - 215 = 135041395839391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 135041395872096 and 135041395872105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135041395872359) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259379514 + ... + 259899624.

Almost surely, 2135041395872159 is an apocalyptic number.

135041395872159 is a deficient number, since it is larger than the sum of its proper divisors (88896295915105).

135041395872159 is a wasteful number, since it uses less digits than its factorization.

135041395872159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538828 (or 538825 counting only the distinct ones).

The product of its (nonzero) digits is 40824000, while the sum is 63.

The spelling of 135041395872159 in words is "one hundred thirty-five trillion, forty-one billion, three hundred ninety-five million, eight hundred seventy-two thousand, one hundred fifty-nine".

Divisors: 1 3 7 9 21 63 223 669 1561 2007 4683 14049 18481 55443 129367 166329 388101 520111 1164303 1560333 3640777 4121263 4680999 10922331 12363789 28848841 32766993 37091367 86546523 115984753 259639569 347954259 811893271 1043862777 2435679813 7307039439 9612171391 28836514173 67285199737 86509542519 201855599211 605566797633 2143514220193 6430542660579 15004599541351 19291627981737 45013798624053 135041395872159