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14054505012 = 22322333494801
BaseRepresentation
bin11010001011011011…
…01011101000110100
31100021111000211101200
431011231223220310
5212240423130022
610242340452500
71005166215162
oct150555535064
940244024350
1014054505012
115a624466a9
1228829aa130
13142c9b3972
14974824232
15573cecbac
hex345b6ba34

14054505012 has 72 divisors (see below), whose sum is σ = 35788825800. Its totient is φ = 4650393600.

The previous prime is 14054504993. The next prime is 14054505053. The reversal of 14054505012 is 21050545041.

14054505012 is a `hidden beast` number, since 140 + 5 + 4 + 505 + 0 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2076078096 + 11978426916 = 45564^2 + 109446^2 .

It is a super-2 number, since 2×140545050122 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2925012 + ... + 2929812.

It is an arithmetic number, because the mean of its divisors is an integer number (497067025).

Almost surely, 214054505012 is an apocalyptic number.

14054505012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14054505012 is an abundant number, since it is smaller than the sum of its proper divisors (21734320788).

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

14054505012 is a wasteful number, since it uses less digits than its factorization.

14054505012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5393 (or 5388 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 14054505012 in words is "fourteen billion, fifty-four million, five hundred five thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 233 349 466 698 699 932 1047 1396 1398 2094 2097 2796 3141 4188 4194 4801 6282 8388 9602 12564 14403 19204 28806 43209 57612 81317 86418 162634 172836 243951 325268 487902 731853 975804 1118633 1463706 1675549 2237266 2927412 3351098 3355899 4474532 5026647 6702196 6711798 10053294 10067697 13423596 15079941 20106588 20135394 30159882 40270788 60319764 390402917 780805834 1171208751 1561611668 2342417502 3513626253 4684835004 7027252506 14054505012