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144523680 = 2535743013
BaseRepresentation
bin10001001110101…
…00000110100000
3101001221120012220
420213110012200
5243444224210
622201351040
73403300560
oct1047240640
9331846186
10144523680
1174641864
1240498480
1323c32392
14152a0da0
15ca4bc70
hex89d41a0

144523680 has 96 divisors (see below), whose sum is σ = 520297344. Its totient is φ = 33033216.

The previous prime is 144523669. The next prime is 144523711. The reversal of 144523680 is 86325441.

144523680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 18147 + ... + 24866.

It is an arithmetic number, because the mean of its divisors is an integer number (5419764).

Almost surely, 2144523680 is an apocalyptic number.

144523680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144523680 is an abundant number, since it is smaller than the sum of its proper divisors (375773664).

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

144523680 is a wasteful number, since it uses less digits than its factorization.

144523680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43038 (or 43030 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 144523680 is about 12021.8001979737. The cubic root of 144523680 is about 524.7828943587.

The spelling of 144523680 in words is "one hundred forty-four million, five hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 43013 86026 129039 172052 215065 258078 301091 344104 430130 516156 602182 645195 688208 860260 903273 1032312 1204364 1290390 1376416 1505455 1720520 1806546 2064624 2408728 2580780 3010910 3441040 3613092 4129248 4516365 4817456 5161560 6021820 6882080 7226184 9032730 9634912 10323120 12043640 14452368 18065460 20646240 24087280 28904736 36130920 48174560 72261840 144523680