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144116160 = 26352361107
BaseRepresentation
bin10001001011100…
…00100111000000
3101001011212012120
420211300213000
5243343204120
622144524240
73366652506
oct1045604700
9331155176
10144116160
1174393671
1240320680
1323b1ba46
14151d6676
15c9bb140
hex89709c0

144116160 has 224 divisors, whose sum is σ = 489825792. Its totient is φ = 35819520.

The previous prime is 144116143. The next prime is 144116201. The reversal of 144116160 is 61611441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 144116160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1346827 + ... + 1346933.

Almost surely, 2144116160 is an apocalyptic number.

144116160 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 144116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244912896).

144116160 is an abundant number, since it is smaller than the sum of its proper divisors (345709632).

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

144116160 is a wasteful number, since it uses less digits than its factorization.

144116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 144116160 is about 12004.8390243268. The cubic root of 144116160 is about 524.2891786105.

The spelling of 144116160 in words is "one hundred forty-four million, one hundred sixteen thousand, one hundred sixty".