Search a number
-
+
135115050024336 = 2436372974416931
BaseRepresentation
bin11110101110001011101100…
…100011110111110110010000
3122201101212120011001012121110
4132232023230203313312100
5120202211110301234321
61155210555211453320
740313511616430244
oct3656135443676620
9581355504035543
10135115050024336
113a062a75329928
12131a2250a57240
135a513aa16b415
1425518636cc424
1510949bc3eb176
hex7ae2ec8f7d90

135115050024336 has 40 divisors (see below), whose sum is σ = 349047839287264. Its totient is φ = 45038269140480.

The previous prime is 135115050024307. The next prime is 135115050024337. The reversal of 135115050024336 is 633420050511531.

It is a super-3 number, since 3×1351150500243363 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135115050024294 and 135115050024303.

It is not an unprimeable number, because it can be changed into a prime (135115050024337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28381791 + ... + 32798721.

Almost surely, 2135115050024336 is an apocalyptic number.

135115050024336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135115050024336 is an abundant number, since it is smaller than the sum of its proper divisors (213932789262928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135115050024336 is a wasteful number, since it uses less digits than its factorization.

135115050024336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054239 (or 5054233 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

The spelling of 135115050024336 in words is "one hundred thirty-five trillion, one hundred fifteen billion, fifty million, twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 637297 1274594 1911891 2549188 3823782 4416931 5098376 7647564 8833862 10196752 13250793 15295128 17667724 26501586 30590256 35335448 53003172 70670896 106006344 212012688 2814896875507 5629793751014 8444690626521 11259587502028 16889381253042 22519175004056 33778762506084 45038350008112 67557525012168 135115050024336