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3242131344045 = 32511411071492993
BaseRepresentation
bin101111001011011110000…
…101100100101010101101
3102110221111201002222211100
4233023132011210222231
5411104341111002140
610521225314313313
7453144015502656
oct57133605445255
912427451088740
103242131344045
11103aa86692280
1244441b288839
131a6968645149
14b2cc467052d
1559506859530
hex2f2de164aad

3242131344045 has 96 divisors (see below), whose sum is σ = 6338798653824. Its totient is φ = 1519268659200.

The previous prime is 3242131344043. The next prime is 3242131344047. The reversal of 3242131344045 is 5404431312423.

3242131344045 is a `hidden beast` number, since 3 + 2 + 4 + 213 + 1 + 34 + 404 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3242131344043) and next prime (3242131344047).

It is not a de Polignac number, because 3242131344045 - 21 = 3242131344043 is a prime.

It is a super-2 number, since 2×32421313440452 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242131344043) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1425069 + ... + 2918061.

It is an arithmetic number, because the mean of its divisors is an integer number (66029152644).

Almost surely, 23242131344045 is an apocalyptic number.

It is an amenable number.

3242131344045 is a deficient number, since it is larger than the sum of its proper divisors (3096667309779).

3242131344045 is a wasteful number, since it uses less digits than its factorization.

3242131344045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493163 (or 1493160 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 3242131344045 its reverse (5404431312423), we get a palindrome (8646562656468).

The spelling of 3242131344045 in words is "three trillion, two hundred forty-two billion, one hundred thirty-one million, three hundred forty-four thousand, forty-five".

Divisors: 1 3 5 9 11 15 33 41 45 55 99 107 123 165 205 321 369 451 495 535 615 963 1177 1353 1605 1845 2255 3531 4059 4387 4815 5885 6765 10593 13161 17655 20295 21935 39483 48257 52965 65805 144771 197415 241285 434313 723855 1492993 2171565 4478979 7464965 13436937 16422923 22394895 49268769 61212713 67184685 82114615 147806307 159750251 183638139 246343845 306063565 479250753 550914417 673339843 739031535 798751255 918190695 1437752259 1757252761 2020019529 2396253765 2754572085 3366699215 5271758283 6060058587 6549760291 7188761295 8786263805 10100097645 15815274849 19649280873 26358791415 30300292935 32748801455 58947842619 72047363201 79076374245 98246404365 216142089603 294739213095 360236816005 648426268809 1080710448015 3242131344045