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13414758714 = 2327273892341
BaseRepresentation
bin11000111111001010…
…01111100100111010
31021121220020100110100
430133211033210322
5204433134234324
610055044500230
7653300365500
oct143745174472
937556210410
1013414758714
115764310855
1227246aa676
13135a2acb66
14913892670
15537a7d4c9
hex31f94f93a

13414758714 has 144 divisors (see below), whose sum is σ = 34673731560. Its totient is φ = 3736212480.

The previous prime is 13414758683. The next prime is 13414758757. The reversal of 13414758714 is 41785741431.

13414758714 is a `hidden beast` number, since 13 + 4 + 1 + 47 + 587 + 14 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10906251489 + 2508507225 = 104433^2 + 50085^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13414758714.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5729184 + ... + 5731524.

Almost surely, 213414758714 is an apocalyptic number.

13414758714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13414758714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336865780).

13414758714 is an abundant number, since it is smaller than the sum of its proper divisors (21258972846).

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

13414758714 is a wasteful number, since it uses less digits than its factorization.

13414758714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2515 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The spelling of 13414758714 in words is "thirteen billion, four hundred fourteen million, seven hundred fifty-eight thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 73 89 98 126 146 147 178 219 267 294 438 441 511 534 623 657 801 882 1022 1246 1314 1533 1602 1869 2341 3066 3577 3738 4361 4599 4682 5607 6497 7023 7154 8722 9198 10731 11214 12994 13083 14046 16387 19491 21069 21462 26166 32193 32774 38982 39249 42138 45479 49161 58473 64386 78498 90958 98322 114709 116946 136437 147483 170893 208349 229418 272874 294966 318353 341786 344127 409311 416698 512679 625047 636706 688254 818622 955059 1025358 1032381 1196251 1250094 1458443 1538037 1875141 1910118 2064762 2392502 2865177 2916886 3076074 3588753 3750282 4375329 5730354 7177506 8373757 8750658 10209101 10766259 13125987 15209477 16747514 20418202 21532518 25121271 26251974 30418954 30627303 45628431 50242542 61254606 75363813 91256862 91881909 106466339 136885293 150727626 183763818 212932678 273770586 319399017 638798034 745264373 958197051 1490528746 1916394102 2235793119 4471586238 6707379357 13414758714