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14060188168 = 23136110920333
BaseRepresentation
bin11010001100000110…
…10111001000001000
31100021212201120012221
431012003113020020
5212243402010133
610243102343424
71005265425145
oct150603271010
940255646187
1014060188168
115a65678524
12288488ab74
131430c23690
149754a33cc
15574571a2d
hex3460d7208

14060188168 has 64 divisors (see below), whose sum is σ = 29122354800. Its totient is φ = 6324065280.

The previous prime is 14060188159. The next prime is 14060188199. The reversal of 14060188168 is 86188106041.

It can be written as a sum of positive squares in 8 ways, for example, as 5706593764 + 8353594404 = 75542^2 + 91398^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681330 + ... + 701662.

Almost surely, 214060188168 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 14060188168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561177400).

14060188168 is an abundant number, since it is smaller than the sum of its proper divisors (15062166632).

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

14060188168 is a wasteful number, since it uses less digits than its factorization.

14060188168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20522 (or 20518 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 14060188168 in words is "fourteen billion, sixty million, one hundred eighty-eight thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 13 26 52 61 104 109 122 218 244 436 488 793 872 1417 1586 2834 3172 5668 6344 6649 11336 13298 20333 26596 40666 53192 81332 86437 162664 172874 264329 345748 528658 691496 1057316 1240313 2114632 2216297 2480626 4432594 4961252 8865188 9922504 16124069 17730376 28811861 32248138 57623722 64496276 115247444 128992552 135194117 230494888 270388234 540776468 1081552936 1757523521 3515047042 7030094084 14060188168