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40431131014122 = 232113149160982913
BaseRepresentation
bin10010011000101100110110…
…01100111011001111101010
312022011011211000222202101100
421030112123030323033222
520244410424014422442
6221553445530102230
711342024055150612
oct1114263314731752
9168134730882340
1040431131014122
1111978823469112
12464b9a7b7a976
1319738406ba304
149dac3cdb9a42
154a1a8e69e84c
hex24c59b33b3ea

40431131014122 has 96 divisors (see below), whose sum is σ = 89025508026000. Its totient is φ = 13259722162176.

The previous prime is 40431131014073. The next prime is 40431131014187. The reversal of 40431131014122 is 22141013113404.

It is a happy number.

40431131014122 is a `hidden beast` number, since 4 + 0 + 4 + 311 + 310 + 14 + 1 + 22 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6481968332841 + 33949162681281 = 2545971^2 + 5826591^2 .

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, 487591738 + ... + 487674650.

Almost surely, 240431131014122 is an apocalyptic number.

40431131014122 is an abundant number, since it is smaller than the sum of its proper divisors (48594377011878).

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

40431131014122 is a wasteful number, since it uses less digits than its factorization.

40431131014122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84792 (or 84789 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 40431131014122 its reverse (22141013113404), we get a palindrome (62572144127526).

The spelling of 40431131014122 in words is "forty trillion, four hundred thirty-one billion, one hundred thirty-one million, fourteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 113 149 226 298 339 447 678 894 1017 1341 1609 2034 2682 3218 4827 9654 14481 16837 28962 33674 50511 82913 101022 151533 165826 181817 239741 248739 303066 363634 479482 497478 545451 719223 746217 1090902 1438446 1492434 1636353 2157669 3272706 4315338 9369169 12354037 18738338 24708074 27090733 28107507 37062111 54181466 56215014 74124222 81272199 84322521 111186333 133407017 162544398 168645042 222372666 243816597 266814034 400221051 487633194 800442102 1200663153 1396006181 2401326306 2792012362 4188018543 8376037086 12564055629 15074992921 19877645533 25128111258 30149985842 39755291066 45224978763 59632936599 90449957526 119265873198 135674936289 178898809797 271349872578 357797619594 2246173945229 4492347890458 6738521835687 13477043671374 20215565507061 40431131014122