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10444102041030 = 23571710727341297
BaseRepresentation
bin1001011111111011010011…
…1111011111110111000110
31100222110001102120102202020
42113332310333133313012
52332104010110303110
634113542041024010
72125363404405360
oct227766477376706
940873042512666
1010444102041030
113367356363609
121208178785006
135a9b4a647318
142816d65b5d30
15131a1d502d70
hex97fb4fdfdc6

10444102041030 has 128 divisors (see below), whose sum is σ = 30615254387712. Its totient is φ = 2225800224768.

The previous prime is 10444102040989. The next prime is 10444102041059. The reversal of 10444102041030 is 3014020144401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13288659 + ... + 14052638.

It is an arithmetic number, because the mean of its divisors is an integer number (239181674904).

Almost surely, 210444102041030 is an apocalyptic number.

10444102041030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10444102041030 is an abundant number, since it is smaller than the sum of its proper divisors (20171152346682).

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

10444102041030 is a wasteful number, since it uses less digits than its factorization.

10444102041030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27341438.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10444102041030 its reverse (3014020144401), we get a palindrome (13458122185431).

The spelling of 10444102041030 in words is "ten trillion, four hundred forty-four billion, one hundred two million, forty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 107 119 170 210 214 238 255 321 357 510 535 595 642 714 749 1070 1190 1498 1605 1785 1819 2247 3210 3570 3638 3745 4494 5457 7490 9095 10914 11235 12733 18190 22470 25466 27285 38199 54570 63665 76398 127330 190995 381990 27341297 54682594 82023891 136706485 164047782 191389079 273412970 382778158 410119455 464802049 574167237 820238910 929604098 956945395 1148334474 1394406147 1913890790 2324010245 2788812294 2870836185 2925518779 3253614343 4648020490 5741672370 5851037558 6507228686 6972030735 8776556337 9760843029 13944061470 14627593895 16268071715 17553112674 19521686058 20478631453 29255187790 32536143430 40957262906 43882781685 48804215145 49733819243 61435894359 87765563370 97608430290 99467638486 102393157265 122871788718 149201457729 204786314530 248669096215 298402915458 307179471795 348136734701 497338192430 614358943590 696273469402 746007288645 1044410204103 1492014577290 1740683673505 2088820408206 3481367347010 5222051020515 10444102041030