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144081984 = 2635314159
BaseRepresentation
bin10001001011010…
…00010001000000
3101001010010022210
420211220101000
5243341110414
622144102120
73366451044
oct1045502100
9331103283
10144081984
117436aa22
1240304940
1323b09317
14151c8024
15c9b0e59
hex8968440

144081984 has 56 divisors (see below), whose sum is σ = 388437120. Its totient is φ = 47117824.

The previous prime is 144081967. The next prime is 144081989. The reversal of 144081984 is 489180441.

It is a super-2 number, since 2×1440819842 = 41519236226752512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144081989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3097 + ... + 17255.

Almost surely, 2144081984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144081984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194218560).

144081984 is an abundant number, since it is smaller than the sum of its proper divisors (244355136).

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

144081984 is a wasteful number, since it uses less digits than its factorization.

144081984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14227 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 144081984 is about 12003.4155139277. The cubic root of 144081984 is about 524.2477316658.

The spelling of 144081984 in words is "one hundred forty-four million, eighty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 159 192 212 318 424 636 848 1272 1696 2544 3392 5088 10176 14159 28318 42477 56636 84954 113272 169908 226544 339816 453088 679632 750427 906176 1359264 1500854 2251281 2718528 3001708 4502562 6003416 9005124 12006832 18010248 24013664 36020496 48027328 72040992 144081984