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14361540102 = 23271333726017
BaseRepresentation
bin11010110000000001…
…11011011000000110
31101001212202211100200
431120000323120012
5213403023240402
610333025351330
71015615035210
oct153000733006
941055684320
1014361540102
1160aa795708
122949798546
13147b4a5930
149a35095b0
15590c4b21c
hex35803b606

14361540102 has 96 divisors (see below), whose sum is σ = 38412558912. Its totient is φ = 3776274432.

The previous prime is 14361540077. The next prime is 14361540139. The reversal of 14361540102 is 20104516341.

It is a happy number.

14361540102 is a `hidden beast` number, since 1 + 4 + 3 + 615 + 40 + 1 + 0 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 538998 + ... + 565014.

It is an arithmetic number, because the mean of its divisors is an integer number (400130822).

Almost surely, 214361540102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14361540102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19206279456).

14361540102 is an abundant number, since it is smaller than the sum of its proper divisors (24051018810).

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

14361540102 is a wasteful number, since it uses less digits than its factorization.

14361540102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26382 (or 26379 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 14361540102 in words is "fourteen billion, three hundred sixty-one million, five hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 337 546 674 819 1011 1638 2022 2359 3033 4381 4718 6066 7077 8762 13143 14154 21231 26017 26286 30667 39429 42462 52034 61334 78051 78858 92001 156102 182119 184002 234153 276003 338221 364238 468306 546357 552006 676442 1014663 1092714 1639071 2029326 2367547 3043989 3278142 4735094 6087978 7102641 8767729 14205282 17535458 21307923 26303187 42615846 52606374 61374103 78909561 113980477 122748206 157819122 184122309 227960954 341941431 368244618 552366927 683882862 797863339 1025824293 1104733854 1595726678 2051648586 2393590017 4787180034 7180770051 14361540102