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8242269919240 = 2357194137787777
BaseRepresentation
bin111011111110000110110…
…0100100001100000001000
31002011221201221222110200011
41313330031210201200020
52040020132044403430
625310240241121304
71510325063232340
oct167741544414010
932157657873604
108242269919240
112698588548395
12b114a7629234
1347a320338066
14206cdc5a9d20
15e460130022a
hex77f0d921808

8242269919240 has 128 divisors (see below), whose sum is σ = 22854048134400. Its totient is φ = 2611891077120.

The previous prime is 8242269919231. The next prime is 8242269919241. The reversal of 8242269919240 is 429199622428.

It is a happy number.

It is a super-2 number, since 2×82422699192402 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8242269919241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18675769 + ... + 19112008.

It is an arithmetic number, because the mean of its divisors is an integer number (178547251050).

Almost surely, 28242269919240 is an apocalyptic number.

It is an amenable number.

8242269919240 is an abundant number, since it is smaller than the sum of its proper divisors (14611778215160).

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

8242269919240 is a wasteful number, since it uses less digits than its factorization.

8242269919240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37787855 (or 37787851 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 58.

The spelling of 8242269919240 in words is "eight trillion, two hundred forty-two billion, two hundred sixty-nine million, nine hundred nineteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 41 56 70 76 82 95 133 140 152 164 190 205 266 280 287 328 380 410 532 574 665 760 779 820 1064 1148 1330 1435 1558 1640 2296 2660 2870 3116 3895 5320 5453 5740 6232 7790 10906 11480 15580 21812 27265 31160 43624 54530 109060 218120 37787777 75575554 151151108 188938885 264514439 302302216 377877770 529028878 717967763 755755540 1058057756 1322572195 1435935526 1511511080 1549298857 2116115512 2645144390 2871871052 3098597714 3589838815 5025774341 5290288780 5743742104 6197195428 7179677630 7746494285 10051548682 10580577560 10845091999 12394390856 14359355260 15492988570 20103097364 21690183998 25128871705 28718710520 29436678283 30985977140 40206194728 43380367996 50257743410 54225459995 58873356566 61971954280 86760735992 100515486820 108450919990 117746713132 147183391415 201030973640 206056747981 216901839980 235493426264 294366782830 412113495962 433803679960 588733565660 824226991924 1030283739905 1177467131320 1648453983848 2060567479810 4121134959620 8242269919240