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2140644253140 = 2232561391949747
BaseRepresentation
bin11111001001101000010…
…101110001110111010100
321120122101011211011212200
4133021220111301313110
5240033014412100030
64315222015244500
7310441105634301
oct37115025616724
97518334734780
102140644253140
11755929968938
122a6a55519730
13126b28747633
14758718a40a8
153aa3a55dd60
hex1f268571dd4

2140644253140 has 144 divisors (see below), whose sum is σ = 6601551640320. Its totient is φ = 561325904640.

The previous prime is 2140644253067. The next prime is 2140644253169. The reversal of 2140644253140 is 413524460412.

2140644253140 is a `hidden beast` number, since 2 + 1 + 4 + 0 + 644 + 2 + 5 + 3 + 1 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2140644253095 and 2140644253104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43005747 + ... + 43055493.

Almost surely, 22140644253140 is an apocalyptic number.

2140644253140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2140644253140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300775820160).

2140644253140 is an abundant number, since it is smaller than the sum of its proper divisors (4460907387180).

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

2140644253140 is a wasteful number, since it uses less digits than its factorization.

2140644253140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53742 (or 53737 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 2140644253140 in words is "two trillion, one hundred forty billion, six hundred forty-four million, two hundred fifty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 610 732 915 1098 1220 1830 2196 2745 3660 3919 5490 7838 10980 11757 15676 19595 23514 35271 39190 47028 49747 58785 70542 78380 99494 117570 141084 149241 176355 198988 235140 239059 248735 298482 352710 447723 478118 497470 596964 705420 717177 746205 895446 956236 994940 1195295 1434354 1492410 1790892 2151531 2238615 2390590 2868708 2984820 3034567 3585885 4303062 4477230 4781180 6069134 7171770 8606124 8954460 9103701 10757655 12138268 14343540 15172835 18207402 21515310 27311103 30345670 36414804 43030620 45518505 54622206 60691340 91037010 109244412 136555515 182074020 194958493 273111030 389916986 546222060 584875479 779833972 974792465 1169750958 1754626437 1949584930 2339501916 2924377395 3509252874 3899169860 5848754790 7018505748 8773132185 11697509580 11892468073 17546264370 23784936146 35092528740 35677404219 47569872292 59462340365 71354808438 107032212657 118924680730 142709616876 178387021095 214064425314 237849361460 356774042190 428128850628 535161063285 713548084380 1070322126570 2140644253140