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144004063335140 = 22525565328163969
BaseRepresentation
bin100000101111100010001111…
…000010101001001011100100
3200212212122122202211001110102
4200233202033002221023210
5122333330310203211030
61230134315312243232
742221643635053301
oct4057421702511344
9625778582731412
10144004063335140
114197a864635728
1214198b51540518
1362476a92a4848
14277bb9614a0a8
15119ad2207cc45
hex82f88f0a92e4

144004063335140 has 24 divisors (see below), whose sum is σ = 302409726627960. Its totient is φ = 57601397977088.

The previous prime is 144004063335137. The next prime is 144004063335161. The reversal of 144004063335140 is 41533360400441.

It can be written as a sum of positive squares in 4 ways, for example, as 8645916875236 + 135358146459904 = 2940394^2 + 11634352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144004063335094 and 144004063335103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8968925 + ... + 19195044.

It is an arithmetic number, because the mean of its divisors is an integer number (12600405276165).

Almost surely, 2144004063335140 is an apocalyptic number.

144004063335140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144004063335140 is an abundant number, since it is smaller than the sum of its proper divisors (158405663292820).

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

144004063335140 is a wasteful number, since it uses less digits than its factorization.

144004063335140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28419631 (or 28419629 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 38.

The spelling of 144004063335140 in words is "one hundred forty-four trillion, four billion, sixty-three million, three hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 255653 511306 1022612 1278265 2556530 5113060 28163969 56327938 112655876 140819845 281639690 563279380 7200203166757 14400406333514 28800812667028 36001015833785 72002031667570 144004063335140