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144501325168 = 2444999120297
BaseRepresentation
bin1000011010010011110…
…0110011110101110000
3111210222112201220001011
42012210330303311300
54331414314401133
6150214420520304
713303606666204
oct2064474636560
9453875656034
10144501325168
115631225a392
1224009250094
131081b310a05
146dcb3a0b04
153b5aec26cd
hex21a4f33d70

144501325168 has 40 divisors (see below), whose sum is σ = 280891843200. Its totient is φ = 72013455360.

The previous prime is 144501325147. The next prime is 144501325169. The reversal of 144501325168 is 861523105441.

144501325168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144501325168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144501325169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7109196 + ... + 7129492.

It is an arithmetic number, because the mean of its divisors is an integer number (7022296080).

Almost surely, 2144501325168 is an apocalyptic number.

It is an amenable number.

144501325168 is a deficient number, since it is larger than the sum of its proper divisors (136390518032).

144501325168 is a wasteful number, since it uses less digits than its factorization.

144501325168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21745 (or 21739 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 144501325168 in words is "one hundred forty-four billion, five hundred one million, three hundred twenty-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 449 898 991 1796 1982 3592 3964 7184 7928 15856 20297 40594 81188 162376 324752 444959 889918 1779836 3559672 7119344 9113353 18226706 20114327 36453412 40228654 72906824 80457308 145813648 160914616 321829232 9031332823 18062665646 36125331292 72250662584 144501325168