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144001466144 = 2559711074253
BaseRepresentation
bin1000011000011100100…
…1111111111100100000
3111202200201011102100222
42012013021333330200
54324403333404034
6150053043102212
713255330160234
oct2060711777440
9452621142328
10144001466144
1156086089958
1223aa9971968
131076b8a7b43
146d80c445c4
153b2c18612e
hex218727ff20

144001466144 has 48 divisors (see below), whose sum is σ = 292368968640. Its totient is φ = 69783409920.

The previous prime is 144001466111. The next prime is 144001466159. The reversal of 144001466144 is 441664100441.

144001466144 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 403079 + ... + 671174.

It is an arithmetic number, because the mean of its divisors is an integer number (6091020180).

Almost surely, 2144001466144 is an apocalyptic number.

It is an amenable number.

144001466144 is an abundant number, since it is smaller than the sum of its proper divisors (148367502496).

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

144001466144 is a wasteful number, since it uses less digits than its factorization.

144001466144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074393 (or 1074385 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

Adding to 144001466144 its reverse (441664100441), we get a palindrome (585665566585).

The spelling of 144001466144 in words is "one hundred forty-four billion, one million, four hundred sixty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 59 71 118 142 236 284 472 568 944 1136 1888 2272 4189 8378 16756 33512 67024 134048 1074253 2148506 4297012 8594024 17188048 34376096 63380927 76271963 126761854 152543926 253523708 305087852 507047416 610175704 1014094832 1220351408 2028189664 2440702816 4500045817 9000091634 18000183268 36000366536 72000733072 144001466144