Search a number
-
+
5152126210140 = 22357213134801837
BaseRepresentation
bin100101011111001001010…
…1001110001000001011100
3200020112112112102022021110
41022332102221301001130
51133403023302211030
614542504253102020
71041141330132600
oct112762251610134
920215475368243
105152126210140
111707005a25878
126b2624787910
132b4ac6caa520
1413b515687500
158e042ce41b0
hex4af92a7105c

5152126210140 has 144 divisors (see below), whose sum is σ = 18072073609632. Its totient is φ = 1087042005504.

The previous prime is 5152126210139. The next prime is 5152126210157. The reversal of 5152126210140 is 410126212515.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5152126210098 and 5152126210107.

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, 67362699 + ... + 67439138.

It is an arithmetic number, because the mean of its divisors is an integer number (125500511178).

Almost surely, 25152126210140 is an apocalyptic number.

It is an amenable number.

5152126210140 is an abundant number, since it is smaller than the sum of its proper divisors (12919947399492).

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

5152126210140 is a wasteful number, since it uses less digits than its factorization.

5152126210140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134801876 (or 134801867 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 5152126210140 in words is "five trillion, one hundred fifty-two billion, one hundred twenty-six million, two hundred ten thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 49 52 60 65 70 78 84 91 98 105 130 140 147 156 182 195 196 210 245 260 273 294 364 390 420 455 490 546 588 637 735 780 910 980 1092 1274 1365 1470 1820 1911 2548 2730 2940 3185 3822 5460 6370 7644 9555 12740 19110 38220 134801837 269603674 404405511 539207348 674009185 808811022 943612859 1348018370 1617622044 1752423881 1887225718 2022027555 2696036740 2830838577 3504847762 3774451436 4044055110 4718064295 5257271643 5661677154 6605290013 7009695524 8088110220 8762119405 9436128590 10514543286 11323354308 12266967167 13210580026 14154192885 17524238810 18872257180 19815870039 21029086572 24533934334 26286358215 26421160052 28308385770 33026450065 35048477620 36800901501 39631740078 49067868668 52572716430 56616771540 61334835835 66052900130 73601803002 79263480156 85868770169 99079350195 105145432860 122669671670 132105800260 147203606004 171737540338 184004507505 198158700390 245339343340 257606310507 343475080676 368009015010 396317400780 429343850845 515212621014 736018030020 858687701690 1030425242028 1288031552535 1717375403380 2576063105070 5152126210140