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144541343151063 = 331071049332914327
BaseRepresentation
bin100000110111010110100111…
…011010011111001111010111
3200221210000110201120122011000
4200313112213122133033113
5122421131132321313223
61231225213143314343
742305524141123635
oct4067264732371727
9627700421518130
10144541343151063
1142067704029651
12142650b744b9b3
136286261a722a1
142799ba4572355
1511a9cba977543
hex8375a769f3d7

144541343151063 has 64 divisors (see below), whose sum is σ = 216422720640000. Its totient is φ = 95334022397952.

The previous prime is 144541343151041. The next prime is 144541343151067. The reversal of 144541343151063 is 360151343145441.

144541343151063 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 41 + 3 + 4 + 31 + 510 + 63 = 666.

It is not a de Polignac number, because 144541343151063 - 213 = 144541343142871 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144541343151067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10088730406 + ... + 10088744732.

It is an arithmetic number, because the mean of its divisors is an integer number (3381605010000).

Almost surely, 2144541343151063 is an apocalyptic number.

144541343151063 is a deficient number, since it is larger than the sum of its proper divisors (71881377488937).

144541343151063 is a wasteful number, since it uses less digits than its factorization.

144541343151063 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18821 (or 18815 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 144541343151063 in words is "one hundred forty-four trillion, five hundred forty-one billion, three hundred forty-three million, one hundred fifty-one thousand, sixty-three".

Divisors: 1 3 9 27 107 321 963 1049 2889 3147 3329 9441 9987 14327 28323 29961 42981 89883 112243 128943 336729 356203 386829 1010187 1068609 1532989 3030561 3205827 3492121 4598967 9617481 10476363 13796901 15029023 31429089 41390703 45087069 47694583 94287267 135261207 143083749 373656947 405783621 429251247 1120970841 1287753741 1608105461 3362912523 4824316383 5103320381 10088737569 14472949149 15309961143 43418847447 45929883429 50031617567 137789650287 150094852701 450284558103 1350853674309 5353383079669 16060149239007 48180447717021 144541343151063