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134316635355 = 32576143915923
BaseRepresentation
bin111110100010111100…
…1010011010011011011
3110211200202110001010100
41331011321103103123
54200040024312410
6141412035350443
712463330364040
oct1750571232333
9424622401110
10134316635355
1151a6626a171
1222046452423
13c887299b36
1467028c31c7
153761cd18c0
hex1f45e534db

134316635355 has 96 divisors (see below), whose sum is σ = 271069793280. Its totient is φ = 60253943040.

The previous prime is 134316635351. The next prime is 134316635407. The reversal of 134316635355 is 553536613431.

134316635355 is a `hidden beast` number, since 1 + 3 + 4 + 3 + 1 + 6 + 635 + 3 + 5 + 5 = 666.

It is not a de Polignac number, because 134316635355 - 22 = 134316635351 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 134316635355.

It is not an unprimeable number, because it can be changed into a prime (134316635351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8427424 + ... + 8443346.

It is an arithmetic number, because the mean of its divisors is an integer number (2823643680).

Almost surely, 2134316635355 is an apocalyptic number.

134316635355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

134316635355 is an abundant number, since it is smaller than the sum of its proper divisors (136753157925).

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

134316635355 is a wasteful number, since it uses less digits than its factorization.

134316635355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16441 (or 16438 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 45.

The spelling of 134316635355 in words is "one hundred thirty-four billion, three hundred sixteen million, six hundred thirty-five thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 61 63 105 183 305 315 427 439 549 915 1281 1317 2135 2195 2745 3073 3843 3951 6405 6585 9219 15365 15923 19215 19755 26779 27657 46095 47769 79615 80337 111461 133895 138285 143307 187453 238845 241011 334383 401685 557305 562359 716535 937265 971303 1003149 1205055 1671915 1687077 2811795 2913909 4856515 5015745 6799121 6990197 8435385 8741727 14569545 20397363 20970591 33995605 34950985 43708635 48931379 61192089 62911773 101986815 104852955 146794137 244656895 305960445 314558865 426402017 440382411 733970685 1279206051 2132010085 2201912055 2984814119 3837618153 6396030255 8954442357 14924070595 19188090765 26863327071 44772211785 134316635355