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144380160 = 2832583151
BaseRepresentation
bin10001001101100…
…01000100000000
3101001200021100100
420212301010000
5243430131120
622154322400
73402132261
oct1046610400
9331607310
10144380160
1174553a51
1240429400
1323bb1c62
1415264968
15ca1e490
hex89b1100

144380160 has 216 divisors, whose sum is σ = 508906944. Its totient is φ = 37785600.

The previous prime is 144380143. The next prime is 144380189. The reversal of 144380160 is 61083441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956085 + ... + 956235.

Almost surely, 2144380160 is an apocalyptic number.

144380160 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 144380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254453472).

144380160 is an abundant number, since it is smaller than the sum of its proper divisors (364526784).

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

144380160 is a wasteful number, since it uses less digits than its factorization.

144380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144380160 is about 12015.8295593771. The cubic root of 144380160 is about 524.6091240210.

The spelling of 144380160 in words is "one hundred forty-four million, three hundred eighty thousand, one hundred sixty".