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144321041403144 = 23331959596032979
BaseRepresentation
bin100000110100001001011100…
…011010000000110100001000
3200220222221211111222022002000
4200310021130122000310020
5122404023443044400034
61230540100544311000
742253564642143324
oct4064113432006410
9626887744868060
10144321041403144
1141a92234480791
121422a474912460
13626b5536b7c28
14278d26609c984
1511a41c5030599
hex83425c680d08

144321041403144 has 128 divisors (see below), whose sum is σ = 429143745600000. Its totient is φ = 44802606890304.

The previous prime is 144321041403113. The next prime is 144321041403169. The reversal of 144321041403144 is 441304140123441.

144321041403144 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 2 + 104 + 1 + 403 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 144321041403099 and 144321041403108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297774354 + ... + 298258625.

It is an arithmetic number, because the mean of its divisors is an integer number (3352685512500).

Almost surely, 2144321041403144 is an apocalyptic number.

It is an amenable number.

144321041403144 is an abundant number, since it is smaller than the sum of its proper divisors (284822704196856).

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

144321041403144 is a wasteful number, since it uses less digits than its factorization.

144321041403144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596033072 (or 596033062 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 144321041403144 its reverse (441304140123441), we get a palindrome (585625181526585).

The spelling of 144321041403144 in words is "one hundred forty-four trillion, three hundred twenty-one billion, forty-one million, four hundred three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 59 72 76 108 114 118 152 171 177 216 228 236 342 354 456 472 513 531 684 708 1026 1062 1121 1368 1416 1593 2052 2124 2242 3186 3363 4104 4248 4484 6372 6726 8968 10089 12744 13452 20178 26904 30267 40356 60534 80712 121068 242136 596032979 1192065958 1788098937 2384131916 3576197874 4768263832 5364296811 7152395748 10728593622 11324626601 14304791496 16092890433 21457187244 22649253202 32185780866 33973879803 35165945761 42914374488 45298506404 64371561732 67947759606 70331891522 90597012808 101921639409 105497837283 128743123464 135895519212 140663783044 203843278818 210995674566 271791038424 281327566088 305764918227 316493511849 407686557636 421991349132 611529836454 632987023698 668152969459 815373115272 843982698264 949480535547 1223059672908 1265974047396 1336305938918 1898961071094 2004458908377 2446119345816 2531948094792 2672611877836 3797922142188 4008917816754 5345223755672 6013376725131 7595844284376 8017835633508 12026753450262 16035671267016 18040130175393 24053506900524 36080260350786 48107013801048 72160520701572 144321041403144