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32241314010328 = 23293716326985661
BaseRepresentation
bin1110101010010110001000…
…00100011001010011011000
311020011020110121102110202021
413111023010010121103120
513211220202341312303
6152323242152544224
76535233550214053
oct725130404312330
9136136417373667
1032241314010328
11a300512258525
1237486ba9b2074
1314cb45c377037
147d66b8c15a9a
153ada0d26debd
hex1d52c41194d8

32241314010328 has 128 divisors (see below), whose sum is σ = 64862238456000. Its totient is φ = 14995066705920.

The previous prime is 32241314010317. The next prime is 32241314010329. The reversal of 32241314010328 is 82301041314223.

It is a super-2 number, since 2×322413140103282 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32241314010293 and 32241314010302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32241314010329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376339818 + ... + 376425478.

Almost surely, 232241314010328 is an apocalyptic number.

It is an amenable number.

32241314010328 is an abundant number, since it is smaller than the sum of its proper divisors (32620924445672).

32241314010328 is a wasteful number, since it uses less digits than its factorization.

32241314010328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86165 (or 86161 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 32241314010328 in words is "thirty-two trillion, two hundred forty-one billion, three hundred fourteen million, ten thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 29 37 58 74 116 148 163 232 269 296 326 538 652 1073 1076 1304 2146 2152 4292 4727 6031 7801 8584 9454 9953 12062 15602 18908 19906 24124 31204 37816 39812 43847 48248 62408 79624 85661 87694 171322 174899 175388 288637 342644 349798 350776 577274 685288 699596 1154548 1271563 1399192 1622339 2309096 2484169 2543126 3169457 3244678 4968338 5086252 6338914 6489356 9936676 10172504 12677828 12978712 13962743 19873352 23042809 25355656 27925486 46085618 47047831 55850972 91914253 92171236 94095662 111701944 183828506 184342472 188191324 367657012 376382648 404919547 516621491 668241461 735314024 809839094 852583933 1033242982 1336482922 1619678188 1705167866 2066485964 2672965844 3239356376 3410335732 3755977867 4132971928 5345931688 6820671464 7511955734 14982023239 15023911468 24724934057 29964046478 30047822936 49449868114 59928092956 98899736228 108923358143 119856185912 138971181079 197799472456 217846716286 277942362158 435693432572 555884724316 871386865144 1111769448632 4030164251291 8060328502582 16120657005164 32241314010328