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144010152 = 2332111371197
BaseRepresentation
bin10001001010101…
…10101110101000
3101000222110210100
420211112232220
5243331311102
622142345400
73366031446
oct1045265650
9330873710
10144010152
1174320a60
124028b260
1323ab2710
14151a9b96
15c999a1c
hex8956ba8

144010152 has 192 divisors, whose sum is σ = 467026560. Its totient is φ = 39513600.

The previous prime is 144010133. The next prime is 144010157. The reversal of 144010152 is 251010441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (144010157) 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 47 ways as a sum of consecutive naturals, for example, 730918 + ... + 731114.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 2144010152 is an apocalyptic number.

144010152 is a gapful number since it is divisible by the number (12) 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 144010152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233513280).

144010152 is an abundant number, since it is smaller than the sum of its proper divisors (323016408).

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

144010152 is a wasteful number, since it uses less digits than its factorization.

144010152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 144010152 is about 12000.4229925449. The cubic root of 144010152 is about 524.1605960369.

Adding to 144010152 its reverse (251010441), we get a palindrome (395020593).

The spelling of 144010152 in words is "one hundred forty-four million, ten thousand, one hundred fifty-two".