Search a number
-
+
134815774356 = 223417107228751
BaseRepresentation
bin111110110001110100…
…1010111011010010100
3110212222112122221010000
41331203221113122110
54202100314234411
6141533345531300
712511601113554
oct1754351273224
9425875587100
10134815774356
11521a1a9873a
1222165643b30
13c936810063
14674ccd3164
153790a29956
hex1f63a57694

134815774356 has 120 divisors (see below), whose sum is σ = 376655723136. Its totient is φ = 41899680000.

The previous prime is 134815774343. The next prime is 134815774367. The reversal of 134815774356 is 653477518431.

134815774356 is a `hidden beast` number, since 1 + 3 + 481 + 5 + 77 + 43 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 474981 + ... + 703731.

Almost surely, 2134815774356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134815774356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188327861568).

134815774356 is an abundant number, since it is smaller than the sum of its proper divisors (241839948780).

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

134815774356 is a wasteful number, since it uses less digits than its factorization.

134815774356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228891 (or 228880 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 134815774356 in words is "one hundred thirty-four billion, eight hundred fifteen million, seven hundred seventy-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 107 108 153 162 204 214 306 321 324 428 459 612 642 918 963 1284 1377 1819 1836 1926 2754 2889 3638 3852 5457 5508 5778 7276 8667 10914 11556 16371 17334 21828 32742 34668 49113 65484 98226 147339 196452 228751 294678 457502 589356 686253 915004 1372506 2058759 2745012 3888767 4117518 6176277 7777534 8235036 11666301 12352554 15555068 18528831 23332602 24476357 24705108 34998903 37057662 46665204 48952714 69997806 73429071 74115324 97905428 104996709 139995612 146858142 209993418 220287213 293716284 314990127 416098069 419986836 440574426 629980254 660861639 832196138 881148852 1248294207 1259960508 1321723278 1664392276 1982584917 2496588414 2643446556 3744882621 3965169834 4993176828 7489765242 7930339668 11234647863 14979530484 22469295726 33703943589 44938591452 67407887178 134815774356