Search a number
-
+
5105222243240 = 235743425999559
BaseRepresentation
bin100101001001010011011…
…1101010101001110101000
3200002001110201022220122012
41022102212331111032220
51132120443343240430
614505150130215052
71034561111033450
oct112224675251650
920061421286565
105105222243240
111699126955269
126a5514724488
132b05607a7062
141391461dad60
158cbea162695
hex4a4a6f553a8

5105222243240 has 128 divisors (see below), whose sum is σ = 13436299008000. Its totient is φ = 1709237230848.

The previous prime is 5105222243237. The next prime is 5105222243263. The reversal of 5105222243240 is 423422225015.

It is a junction number, because it is equal to n+sod(n) for n = 5105222243197 and 5105222243206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51228581 + ... + 51328139.

It is an arithmetic number, because the mean of its divisors is an integer number (104971086000).

Almost surely, 25105222243240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105222243240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718149504000).

5105222243240 is an abundant number, since it is smaller than the sum of its proper divisors (8331076764760).

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

5105222243240 is a wasteful number, since it uses less digits than its factorization.

5105222243240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103879 (or 103875 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 5105222243240 its reverse (423422225015), we get a palindrome (5528644468255).

The spelling of 5105222243240 in words is "five trillion, one hundred five billion, two hundred twenty-two million, two hundred forty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 86 140 172 215 280 301 344 430 602 860 1204 1505 1720 2408 3010 4259 6020 8518 12040 17036 21295 29813 34072 42590 59626 85180 99559 119252 149065 170360 183137 199118 238504 298130 366274 398236 497795 596260 696913 732548 796472 915685 995590 1192520 1281959 1393826 1465096 1831370 1991180 2563918 2787652 3484565 3662740 3982360 4281037 5127836 5575304 6409795 6969130 7325480 8562074 10255672 12819590 13938260 17124148 21405185 25639180 27876520 29967259 34248296 42810370 51278360 59934518 85620740 119869036 149836295 171241480 239738072 299672590 424021781 599345180 848043562 1198690360 1696087124 2120108905 2968152467 3392174248 4240217810 5936304934 8480435620 11872609868 14840762335 16960871240 18232936583 23745219736 29681524670 36465873166 59363049340 72931746332 91164682915 118726098680 127630556081 145863492664 182329365830 255261112162 364658731660 510522224324 638152780405 729317463320 1021044448648 1276305560810 2552611121620 5105222243240