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232142001110550 = 232521972737346783
BaseRepresentation
bin110100110010000111000101…
…100000110111111000010110
31010102221120002012022111101100
4310302013011200313320112
5220411403304241014200
62141420321342210530
766616464124026666
oct6462070540677026
91112846065274340
10232142001110550
1167a709627742a3
1222052812583a46
139c6bb8729a15b
144147a38b561a6
151bc882d598d00
hexd321c5837e16

232142001110550 has 144 divisors (see below), whose sum is σ = 657416932623360. Its totient is φ = 58565729661120.

The previous prime is 232142001110519. The next prime is 232142001110597. The reversal of 232142001110550 is 55011100241232.

It is a happy number.

232142001110550 is a `hidden beast` number, since 232 + 1 + 420 + 0 + 1 + 1 + 1 + 0 + 5 + 5 + 0 = 666.

It is a super-3 number, since 3×2321420011105503 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12457542 + ... + 24889241.

It is an arithmetic number, because the mean of its divisors is an integer number (4565395365440).

Almost surely, 2232142001110550 is an apocalyptic number.

232142001110550 is an abundant number, since it is smaller than the sum of its proper divisors (425274931512810).

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

232142001110550 is a wasteful number, since it uses less digits than its factorization.

232142001110550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37347547 (or 37347539 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 232142001110550 its reverse (55011100241232), we get a palindrome (287153101351782).

The spelling of 232142001110550 in words is "two hundred thirty-two trillion, one hundred forty-two billion, one million, one hundred ten thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 727 855 950 1425 1454 1710 2181 2850 3635 4275 4362 6543 7270 8550 10905 13086 13813 18175 21810 27626 32715 36350 41439 54525 65430 69065 82878 109050 124317 138130 163575 207195 248634 327150 345325 414390 621585 690650 1035975 1243170 2071950 3107925 6215850 37346783 74693566 112040349 186733915 224080698 336121047 373467830 560201745 672242094 709588877 933669575 1120403490 1419177754 1680605235 1867339150 2128766631 2801008725 3361210470 3547944385 4257533262 5602017450 6386299893 7095888770 8403026175 10643833155 12772599786 16806052350 17739721925 21287666310 27151111241 31931499465 35479443850 53219165775 54302222482 63862998930 81453333723 106438331550 135755556205 159657497325 162906667446 244360001169 271511112410 319314994650 407266668615 488720002338 515871113579 678777781025 814533337230 1031742227158 1221800005845 1357555562050 1547613340737 2036333343075 2443600011690 2579355567895 3095226681474 4072666686150 4642840022211 5158711135790 6109000029225 7738066703685 9285680044422 12218000058450 12896777839475 15476133407370 23214200111055 25793555678950 38690333518425 46428400222110 77380667036850 116071000555275 232142001110550