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1052131455540 = 22325111731257619
BaseRepresentation
bin11110100111101111110…
…10111111001000110100
310201120201211221202102200
433103313322333020310
5114214231123034130
62123201552304500
7136004540545614
oct17236772771064
93646654852380
101052131455540
1137622a861050
1214bab0842130
13782a57baa59
1438ccdc90a44
151c57d2d8760
hexf4f7ebf234

1052131455540 has 144 divisors (see below), whose sum is σ = 3686398672320. Its totient is φ = 240058506240.

The previous prime is 1052131455517. The next prime is 1052131455547. The reversal of 1052131455540 is 455541312501.

1052131455540 is a `hidden beast` number, since 1 + 0 + 52 + 1 + 3 + 14 + 55 + 540 = 666.

It is a super-2 number, since 2×10521314555402 (a number of 25 digits) contains 22 as substring.

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 = 1052131455495 and 1052131455504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052131455547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15595150 + ... + 15662469.

It is an arithmetic number, because the mean of its divisors is an integer number (25599990780).

Almost surely, 21052131455540 is an apocalyptic number.

1052131455540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052131455540 is an abundant number, since it is smaller than the sum of its proper divisors (2634267216780).

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

1052131455540 is a wasteful number, since it uses less digits than its factorization.

1052131455540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31257662 (or 31257657 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 1052131455540 in words is "one trillion, fifty-two billion, one hundred thirty-one million, four hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 17 18 20 22 30 33 34 36 44 45 51 55 60 66 68 85 90 99 102 110 132 153 165 170 180 187 198 204 220 255 306 330 340 374 396 495 510 561 612 660 748 765 935 990 1020 1122 1530 1683 1870 1980 2244 2805 3060 3366 3740 5610 6732 8415 11220 16830 33660 31257619 62515238 93772857 125030476 156288095 187545714 281318571 312576190 343833809 375091428 468864285 531379523 562637142 625152380 687667618 937728570 1031501427 1062759046 1125274284 1375335236 1406592855 1594138569 1719169045 1875457140 2063002854 2125518092 2656897615 2813185710 3094504281 3188277138 3438338090 4126005708 4782415707 5157507135 5313795230 5626371420 5845174753 6189008562 6376554276 6876676180 7970692845 9564831414 10315014270 10627590460 11690349506 12378017124 15472521405 15941385690 17535524259 19129662828 20630028540 23380699012 23912078535 29225873765 30945042810 31882771380 35071048518 47824157070 52606572777 58451747530 61890085620 70142097036 87677621295 95648314140 105213145554 116903495060 175355242590 210426291108 263032863885 350710485180 526065727770 1052131455540