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32114041135425 = 3252975217333853
BaseRepresentation
bin1110100110101001000100…
…00000111010000101000001
311012201001221202001112110200
413103110202000322011001
513202124024012313200
6152144553053315413
76523106606505534
oct723244200720501
9135631852045420
1032114041135425
11a261541011897
123727abb495b69
1314bc4584954c2
147d0483a00a1b
153aa55ea4c800
hex1d352203a141

32114041135425 has 144 divisors (see below), whose sum is σ = 58318909569648. Its totient is φ = 16890915225600.

The previous prime is 32114041135367. The next prime is 32114041135427. The reversal of 32114041135425 is 52453114041123.

32114041135425 is a `hidden beast` number, since 3 + 2 + 114 + 0 + 4 + 113 + 5 + 425 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 4866643366209 + 27247397769216 = 2206047^2 + 5219904^2 .

It is not a de Polignac number, because 32114041135425 - 212 = 32114041131329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 32114041135425.

It is not an unprimeable number, because it can be changed into a prime (32114041135427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8334812799 + ... + 8334816651.

It is an arithmetic number, because the mean of its divisors is an integer number (404992427567).

Almost surely, 232114041135425 is an apocalyptic number.

It is an amenable number.

32114041135425 is a deficient number, since it is larger than the sum of its proper divisors (26204868434223).

32114041135425 is a wasteful number, since it uses less digits than its factorization.

32114041135425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5220 (or 5212 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 32114041135425 its reverse (52453114041123), we get a palindrome (84567155176548).

The spelling of 32114041135425 in words is "thirty-two trillion, one hundred fourteen billion, forty-one million, one hundred thirty-five thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 97 225 291 485 521 733 873 1455 1563 2199 2425 2605 3665 3853 4365 4689 6597 7275 7815 10995 11559 13025 18325 19265 21825 23445 32985 34677 39075 50537 54975 57795 71101 96325 117225 151611 164925 173385 213303 252685 288975 355505 373741 381893 454833 639909 758055 866925 1066515 1121223 1145679 1263425 1777525 1868705 1909465 2007413 2274165 2824249 3199545 3363669 3437037 3790275 5332575 5606115 5728395 6022239 8472747 9343525 9547325 10037065 11370825 14121245 15997725 16818345 17185185 18066717 25418241 28030575 28641975 30111195 37043621 42363735 50185325 70606225 84091725 85925925 90333585 111130863 127091205 150555975 185218105 194719061 211818675 273952153 333392589 451667925 555654315 584157183 635456025 821856459 926090525 973595305 1369760765 1471433729 1666962945 1752471549 2465569377 2778271575 2920785915 4109282295 4414301187 4867976525 6848803825 7357168645 8334814725 8762357745 12327846885 13242903561 14603929575 20546411475 22071505935 36785843225 43811788725 61639234425 66214517805 110357529675 142729071713 331072589025 428187215139 713645358565 1284561645417 2140936075695 3568226792825 6422808227085 10704680378475 32114041135425