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144442160 = 24543199211
BaseRepresentation
bin10001001110000…
…00001100110000
3101001210102101122
420213000030300
5243434122120
622155521412
73402511112
oct1047001460
9331712348
10144442160
1174596595
1240459268
1323c04245
141527d3b2
15ca32a25
hex89c0330

144442160 has 80 divisors (see below), whose sum is σ = 347001600. Its totient is φ = 55883520.

The previous prime is 144442159. The next prime is 144442169. The reversal of 144442160 is 61244441.

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

It is not an unprimeable number, because it can be changed into a prime (144442169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 684455 + ... + 684665.

It is an arithmetic number, because the mean of its divisors is an integer number (4337520).

Almost surely, 2144442160 is an apocalyptic number.

144442160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144442160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173500800).

144442160 is an abundant number, since it is smaller than the sum of its proper divisors (202559440).

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

144442160 is a wasteful number, since it uses less digits than its factorization.

144442160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 144442160 is about 12018.4092125372. The cubic root of 144442160 is about 524.6842061538.

The spelling of 144442160 in words is "one hundred forty-four million, four hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 199 211 215 344 398 422 430 688 796 844 860 995 1055 1592 1688 1720 1990 2110 3184 3376 3440 3980 4220 7960 8440 8557 9073 15920 16880 17114 18146 34228 36292 41989 42785 45365 68456 72584 83978 85570 90730 136912 145168 167956 171140 181460 209945 335912 342280 362920 419890 671824 684560 725840 839780 1679560 1805527 3359120 3611054 7222108 9027635 14444216 18055270 28888432 36110540 72221080 144442160