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144074160 = 2433566701
BaseRepresentation
bin10001001011001…
…10010110110000
3101001002201121000
420211212112300
5243340333120
622144002000
73366416166
oct1045462660
9331081530
10144074160
117436505a
1240300300
1323b058a9
14151c5236
15c9ad990
hex89665b0

144074160 has 80 divisors (see below), whose sum is σ = 496262880. Its totient is φ = 38419200.

The previous prime is 144074159. The next prime is 144074173. The reversal of 144074160 is 61470441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 31191 + ... + 35510.

It is an arithmetic number, because the mean of its divisors is an integer number (6203286).

Almost surely, 2144074160 is an apocalyptic number.

144074160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144074160 is an abundant number, since it is smaller than the sum of its proper divisors (352188720).

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

144074160 is a wasteful number, since it uses less digits than its factorization.

144074160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66723 (or 66711 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 144074160 is about 12003.0896022649. The cubic root of 144074160 is about 524.2382421877.

The spelling of 144074160 in words is "one hundred forty-four million, seventy-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 66701 133402 200103 266804 333505 400206 533608 600309 667010 800412 1000515 1067216 1200618 1334020 1600824 1800927 2001030 2401236 2668040 3001545 3201648 3601854 4002060 4802472 5336080 6003090 7203708 8004120 9004635 9604944 12006180 14407416 16008240 18009270 24012360 28814832 36018540 48024720 72037080 144074160