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144113343801 = 3728311811601
BaseRepresentation
bin1000011000110111010…
…0110001110100111001
3111202222111200101122220
42012031310301310321
54330121004000201
6150112121034253
713261156132200
oct2061564616471
9452874611586
10144113343801
1156133253229
1223b1b325989
1310788b19a3b
146d91a48237
153b36dd5036
hex218dd31d39

144113343801 has 24 divisors (see below), whose sum is σ = 226215801504. Its totient is φ = 81358300800.

The previous prime is 144113343757. The next prime is 144113343841. The reversal of 144113343801 is 108343311441.

144113343801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144113343801 - 214 = 144113327417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144113343841) 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 23 ways as a sum of consecutive naturals, for example, 5893600 + ... + 5918001.

It is an arithmetic number, because the mean of its divisors is an integer number (9425658396).

Almost surely, 2144113343801 is an apocalyptic number.

It is an amenable number.

144113343801 is a deficient number, since it is larger than the sum of its proper divisors (82102457703).

144113343801 is a wasteful number, since it uses less digits than its factorization.

144113343801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11811701 (or 11811694 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 144113343801 in words is "one hundred forty-four billion, one hundred thirteen million, three hundred forty-three thousand, eight hundred one".

Divisors: 1 3 7 21 49 83 147 249 581 1743 4067 12201 11811601 35434803 82681207 248043621 578768449 980362883 1736305347 2941088649 6862540181 20587620543 48037781267 144113343801