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144964265160 = 2335111316351827
BaseRepresentation
bin1000011100000010001…
…0110010010011001000
3111212011210211200022210
42013000202302103020
54333341322441120
6150332355145120
713321230631401
oct2070042622310
9455153750283
10144964265160
115652a604020
12241182a51a0
13108931bb4c0
147032a6a9a8
153b86969ce0
hex21c08b24c8

144964265160 has 256 divisors, whose sum is σ = 514067420160. Its totient is φ = 32239918080.

The previous prime is 144964265141. The next prime is 144964265177. The reversal of 144964265160 is 61562469441.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2771167 + ... + 2822993.

It is an arithmetic number, because the mean of its divisors is an integer number (2008075860).

Almost surely, 2144964265160 is an apocalyptic number.

144964265160 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 144964265160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257033710080).

144964265160 is an abundant number, since it is smaller than the sum of its proper divisors (369103155000).

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

144964265160 is a wasteful number, since it uses less digits than its factorization.

144964265160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52028 (or 52024 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 144964265160 in words is "one hundred forty-four billion, nine hundred sixty-four million, two hundred sixty-five thousand, one hundred sixty".