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144362199526032 = 24329103708476671
BaseRepresentation
bin100000110100101111110001…
…100111110010101010010000
3200221010220001220020120111210
4200310233301213302222100
5122410212241034313112
61231011025013540120
742256552611335565
oct4064576147625220
9627126056216453
10144362199526032
1141aa8735132684
1214236440644640
1362723b268b8b7
14279124c3b886c
1511a52d352eb3c
hex834bf19f2a90

144362199526032 has 40 divisors (see below), whose sum is σ = 385795533219840. Its totient is φ = 46461397548160.

The previous prime is 144362199526009. The next prime is 144362199526057. The reversal of 144362199526032 is 230625991263441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51854236944 + ... + 51854239727.

It is an arithmetic number, because the mean of its divisors is an integer number (9644888330496).

Almost surely, 2144362199526032 is an apocalyptic number.

144362199526032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144362199526032 is an abundant number, since it is smaller than the sum of its proper divisors (241433333693808).

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

144362199526032 is a wasteful number, since it uses less digits than its factorization.

144362199526032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103708476711 (or 103708476705 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 144362199526032 in words is "one hundred forty-four trillion, three hundred sixty-two billion, one hundred ninety-nine million, five hundred twenty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 103708476671 207416953342 311125430013 414833906684 622250860026 829667813368 1244501720052 1659335626736 2489003440104 3007545823459 4978006880208 6015091646918 9022637470377 12030183293836 18045274940754 24060366587672 36090549881508 48120733175344 72181099763016 144362199526032