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3144407311240 = 235136199130117
BaseRepresentation
bin101101110000011101010…
…001111110001110001000
3102010121021011002202121221
4231300131101332032020
5403004221232424430
610404304253211424
7443114226102226
oct55603521761610
912117234082557
103144407311240
111002598a52aa8
124294a7790b74
1319a693514970
14ac2939c3b16
1556bd734557a
hex2dc1d47e388

3144407311240 has 64 divisors (see below), whose sum is σ = 7744044818160. Its totient is φ = 1141978936320.

The previous prime is 3144407311237. The next prime is 3144407311259. The reversal of 3144407311240 is 421137044413.

3144407311240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 543909200004 + 2600498111236 = 737502^2 + 1612606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3144407311196 and 3144407311205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49533339 + ... + 49596778.

Almost surely, 23144407311240 is an apocalyptic number.

It is an amenable number.

3144407311240 is an abundant number, since it is smaller than the sum of its proper divisors (4599637506920).

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

3144407311240 is a wasteful number, since it uses less digits than its factorization.

3144407311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99130202 (or 99130198 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 3144407311240 in words is "three trillion, one hundred forty-four billion, four hundred seven million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 61 65 104 122 130 244 260 305 488 520 610 793 1220 1586 2440 3172 3965 6344 7930 15860 31720 99130117 198260234 396520468 495650585 793040936 991301170 1288691521 1982602340 2577383042 3965204680 5154766084 6046937137 6443457605 10309532168 12093874274 12886915210 24187748548 25773830420 30234685685 48375497096 51547660840 60469371370 78610182781 120938742740 157220365562 241877485480 314440731124 393050913905 628881462248 786101827810 1572203655620 3144407311240