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144440634164316 = 22371998640861101
BaseRepresentation
bin100000110101111000110100…
…101100001100010001011100
3200221102101112010212000220220
4200311320310230030101130
5122413003404321224231
61231111040012241340
742265330364634450
oct4065706454142134
9627371463760826
10144440634164316
1142028a24476296
1214249690170250
1362799023c7b79
142794d6d2b8660
1511a7374392896
hex835e34b0c45c

144440634164316 has 48 divisors (see below), whose sum is σ = 387110577369600. Its totient is φ = 41061371947200.

The previous prime is 144440634164311. The next prime is 144440634164317. The reversal of 144440634164316 is 613461436044441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144440634164311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4320413835 + ... + 4320447266.

It is an arithmetic number, because the mean of its divisors is an integer number (8064803695200).

Almost surely, 2144440634164316 is an apocalyptic number.

It is an amenable number.

144440634164316 is an abundant number, since it is smaller than the sum of its proper divisors (242669943205284).

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

144440634164316 is a wasteful number, since it uses less digits than its factorization.

144440634164316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8640861314 (or 8640861312 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 51.

The spelling of 144440634164316 in words is "one hundred forty-four trillion, four hundred forty billion, six hundred thirty-four million, one hundred sixty-four thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 199 398 597 796 1194 1393 2388 2786 4179 5572 8358 16716 8640861101 17281722202 25922583303 34563444404 51845166606 60486027707 103690333212 120972055414 181458083121 241944110828 362916166242 725832332484 1719531359099 3439062718198 5158594077297 6878125436396 10317188154594 12036719513693 20634376309188 24073439027386 36110158541079 48146878054772 72220317082158 144440634164316