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132414110120655 = 34511174314056583
BaseRepresentation
bin11110000110111000001111…
…111111110011101011001111
3122100211122222000002220110000
4132012320033333303223033
5114323433044142330110
61145342111420015343
736614414042152536
oct3606701777635317
9570748860086400
10132414110120655
1139211566152950
1212a268a9691553
1358b679b8119bc
14249ac3cb9131d
1510495dcaa61c0
hex786e0fff3acf

132414110120655 has 160 divisors (see below), whose sum is σ = 274811303467008. Its totient is φ = 60284053785600.

The previous prime is 132414110120639. The next prime is 132414110120683. The reversal of 132414110120655 is 556021011414231.

132414110120655 is a `hidden beast` number, since 1 + 3 + 2 + 414 + 110 + 120 + 6 + 5 + 5 = 666.

It is not a de Polignac number, because 132414110120655 - 24 = 132414110120639 is a prime.

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 159 ways as a sum of consecutive naturals, for example, 30613494 + ... + 34670076.

Almost surely, 2132414110120655 is an apocalyptic number.

132414110120655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132414110120655 is an abundant number, since it is smaller than the sum of its proper divisors (142397193346353).

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

132414110120655 is a wasteful number, since it uses less digits than its factorization.

132414110120655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057059 (or 4057050 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 132414110120655 its reverse (556021011414231), we get a palindrome (688435121534886).

The spelling of 132414110120655 in words is "one hundred thirty-two trillion, four hundred fourteen billion, one hundred ten million, one hundred twenty thousand, six hundred fifty-five".

Divisors: 1 3 5 9 11 15 17 27 33 45 51 55 81 85 99 135 153 165 187 255 297 405 431 459 495 561 765 891 935 1293 1377 1485 1683 2155 2295 2805 3879 4455 4741 5049 6465 6885 7327 8415 11637 14223 15147 19395 21981 23705 25245 34911 36635 42669 58185 65943 71115 75735 80597 109905 128007 174555 197829 213345 241791 329715 384021 402985 593487 640035 725373 989145 1208955 1920105 2176119 2967435 3626865 4056583 6528357 10880595 12169749 20282915 32641785 36509247 44622413 60848745 68961911 109527741 133867239 182546235 206885733 223112065 328583223 344809555 401601717 547638705 620657199 669336195 758581021 1034428665 1204805151 1642916115 1748387273 1861971597 2008008585 2275743063 3103285995 3614415453 3792905105 5245161819 5585914791 6024025755 6827229189 8741936365 9309857985 11378715315 15735485457 18072077265 19232260003 20481687567 26225809095 27929573955 29722583641 34136145945 47206456371 57696780009 61445062701 78677427285 89167750923 96161300015 102408437835 141619369113 148612918205 173090340027 236032281855 267503252769 288483900045 307225313505 326948420051 445838754615 519271020081 708096845565 802509758307 865451700135 980845260153 1337516263845 1557813060243 1634742100255 2407529274921 2596355100405 2942535780459 4012548791535 4904226300765 7789065301215 8827607341377 12037646374605 14712678902295 26482822024131 44138036706885 132414110120655