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134294103856 = 24111758397687
BaseRepresentation
bin111110100010010001…
…1010110011100110000
3110211122012001022201101
41331010203112130300
54200013242310411
6141405512414144
712462635022403
oct1750443263460
9424565038641
10134294103856
1151a5457a9a0
122203a9a7354
13c88270b3a3
1466dd8d9d3a
15375ed308c1
hex1f448d6730

134294103856 has 80 divisors (see below), whose sum is σ = 300636472320. Its totient is φ = 57434711040.

The previous prime is 134294103793. The next prime is 134294103859. The reversal of 134294103856 is 658301492431.

It is a happy number.

It is a super-2 number, since 2×1342941038562 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134294103859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17466445 + ... + 17474131.

It is an arithmetic number, because the mean of its divisors is an integer number (3757955904).

Almost surely, 2134294103856 is an apocalyptic number.

134294103856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134294103856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150318236160).

134294103856 is an abundant number, since it is smaller than the sum of its proper divisors (166342368464).

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

134294103856 is a wasteful number, since it uses less digits than its factorization.

134294103856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13562 (or 13556 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 134294103856 in words is "one hundred thirty-four billion, two hundred ninety-four million, one hundred three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 5839 7687 11678 15374 23356 30748 46712 61496 64229 84557 93424 99263 122992 128458 130679 169114 198526 256916 261358 338228 397052 513832 522716 676456 794104 1027664 1045432 1091893 1352912 1437469 1588208 2090864 2183786 2874938 4367572 5749876 8735144 11499752 17470288 22999504 44884393 89768786 179537572 359075144 493728323 718150288 763034681 987456646 1526069362 1974913292 3052138724 3949826584 6104277448 7899653168 8393381491 12208554896 16786762982 33573525964 67147051928 134294103856