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144107760012 = 223194431426753
BaseRepresentation
bin1000011000110101111…
…1011110100110001100
3111202222010011201010220
42012031133132212030
54330113041310022
6150111401231340
713261060515006
oct2061537364614
9452863151126
10144107760012
115613008a027
1223b19492550
1310787913318
146d90dd3376
153b3668085c
hex218d7de98c

144107760012 has 48 divisors (see below), whose sum is σ = 354748114560. Its totient is φ = 45404955648.

The previous prime is 144107760001. The next prime is 144107760053. The reversal of 144107760012 is 210067701441.

144107760012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 612373 + ... + 814380.

It is an arithmetic number, because the mean of its divisors is an integer number (7390585720).

Almost surely, 2144107760012 is an apocalyptic number.

144107760012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144107760012 is an abundant number, since it is smaller than the sum of its proper divisors (210640354548).

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

144107760012 is a wasteful number, since it uses less digits than its factorization.

144107760012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427222 (or 1427220 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 144107760012 in words is "one hundred forty-four billion, one hundred seven million, seven hundred sixty thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 443 886 1329 1772 2658 5316 8417 16834 25251 33668 50502 101004 1426753 2853506 4280259 5707012 8560518 17121036 27108307 54216614 81324921 108433228 162649842 325299684 632051579 1264103158 1896154737 2528206316 3792309474 7584618948 12008980001 24017960002 36026940003 48035920004 72053880006 144107760012