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144068325352 = 23729791122937
BaseRepresentation
bin1000011000101100100…
…1000010111111101000
3111202212100222012221221
42012023021002333220
54330022442402402
6150103432111424
713260101363110
oct2061311027750
9452770865857
10144068325352
115610a8a51a6
1223b08235574
131077c6b6bc3
146d89a8a040
153b32e91337
hex218b242fe8

144068325352 has 64 divisors (see below), whose sum is σ = 323406144000. Its totient is φ = 58859813376.

The previous prime is 144068325347. The next prime is 144068325377. The reversal of 144068325352 is 253523860441.

It is a junction number, because it is equal to n+sod(n) for n = 144068325299 and 144068325308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433173 + ... + 689764.

It is an arithmetic number, because the mean of its divisors is an integer number (5053221000).

Almost surely, 2144068325352 is an apocalyptic number.

It is an amenable number.

144068325352 is an abundant number, since it is smaller than the sum of its proper divisors (179337818648).

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

144068325352 is a wasteful number, since it uses less digits than its factorization.

144068325352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123058 (or 1123054 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 144068325352 in words is "one hundred forty-four billion, sixty-eight million, three hundred twenty-five thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 29 56 58 79 116 158 203 232 316 406 553 632 812 1106 1624 2212 2291 4424 4582 9164 16037 18328 32074 64148 128296 1122937 2245874 4491748 7860559 8983496 15721118 31442236 32565173 62884472 65130346 88712023 130260692 177424046 227956211 260521384 354848092 455912422 620984161 709696184 911824844 1241968322 1823649688 2483936644 2572648667 4967873288 5145297334 10290594668 18008540669 20581189336 36017081338 72034162676 144068325352