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144081900 = 223252160091
BaseRepresentation
bin10001001011010…
…00001111101100
3101001010010012200
420211220033230
5243341110100
622144101500
73366450564
oct1045501754
9331103180
10144081900
117436a956
1240304890
1323b09281
14151c7da4
15c9b0e00
hex89683ec

144081900 has 54 divisors (see below), whose sum is σ = 451619532. Its totient is φ = 38421600.

The previous prime is 144081887. The next prime is 144081901. The reversal of 144081900 is 9180441.

It is a super-2 number, since 2×1440819002 = 41519187815220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (144081901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 79146 + ... + 80945.

Almost surely, 2144081900 is an apocalyptic number.

144081900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144081900 is an abundant number, since it is smaller than the sum of its proper divisors (307537632).

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

144081900 is a wasteful number, since it uses less digits than its factorization.

144081900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160111 (or 160101 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 144081900 is about 12003.4120149231. The cubic root of 144081900 is about 524.2476297867.

The spelling of 144081900 in words is "one hundred forty-four million, eighty-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 160091 320182 480273 640364 800455 960546 1440819 1600910 1921092 2401365 2881638 3201820 4002275 4802730 5763276 7204095 8004550 9605460 12006825 14408190 16009100 24013650 28816380 36020475 48027300 72040950 144081900