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35215325151140 = 225411549211313121
BaseRepresentation
bin10000000000111001101001…
…11100100011111110100100
311121200112220120001220121002
420000130310330203332210
514103431441214314030
6202521410321012432
710263136404626321
oct1000346474437644
9147615816056532
1035215325151140
111024780aa93682
123b48b71184118
131685a38834444
1489a6062b7b48
154110710b0245
hex200734f23fa4

35215325151140 has 96 divisors (see below), whose sum is σ = 75846456453600. Its totient is φ = 13726148198400.

The previous prime is 35215325151137. The next prime is 35215325151151. The reversal of 35215325151140 is 4115152351253.

It can be written as a sum of positive squares in 16 ways, for example, as 34261448675584 + 953876475556 = 5853328^2 + 976666^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35215325151094 and 35215325151103.

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, 2683883780 + ... + 2683896900.

It is an arithmetic number, because the mean of its divisors is an integer number (790067254725).

Almost surely, 235215325151140 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 35215325151140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37923228226800).

35215325151140 is an abundant number, since it is smaller than the sum of its proper divisors (40631131302460).

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

35215325151140 is a wasteful number, since it uses less digits than its factorization.

35215325151140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16833 (or 16831 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 38.

The spelling of 35215325151140 in words is "thirty-five trillion, two hundred fifteen billion, three hundred twenty-five million, one hundred fifty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1549 2113 3098 4226 6196 7745 8452 10565 13121 15490 21130 26242 30980 42260 52484 63509 65605 86633 127018 131210 173266 254036 262420 317545 346532 433165 537961 635090 866330 1075922 1270180 1732660 2151844 2689805 3273037 5379610 6546074 10759220 13092148 16365185 20324429 27724673 32730370 40648858 55449346 65460740 81297716 101622145 110898692 134194517 138623365 203244290 268389034 277246730 406488580 536778068 554493460 670972585 833301589 1136711593 1341945170 1666603178 2273423186 2683890340 3333206356 4166507945 4546846372 5683557965 8333015890 11367115930 16666031780 22734231860 42945518477 85891036954 171782073908 214727592385 429455184770 858910369540 1760766257557 3521532515114 7043065030228 8803831287785 17607662575570 35215325151140