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4141083438328 = 23192910312837109
BaseRepresentation
bin111100010000101011110…
…011101010110011111000
3112122212212020001221122211
4330100223303222303320
51020321414330011303
612450215405424504
7605116623306544
oct74205363526370
915585766057584
104141083438328
111357250708a91
1256a6a056b134
1324066bc8cca5
141046027d8a24
1572abbd9066d
hex3c42bceacf8

4141083438328 has 128 divisors (see below), whose sum is σ = 8544968640000. Its totient is φ = 1873812552192.

The previous prime is 4141083438277. The next prime is 4141083438329. The reversal of 4141083438328 is 8238343801414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4141083438329) 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 31 ways as a sum of consecutive naturals, for example, 582509238 + ... + 582516346.

It is an arithmetic number, because the mean of its divisors is an integer number (66757567500).

Almost surely, 24141083438328 is an apocalyptic number.

It is an amenable number.

4141083438328 is an abundant number, since it is smaller than the sum of its proper divisors (4403885201672).

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

4141083438328 is a wasteful number, since it uses less digits than its factorization.

4141083438328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8549 (or 8545 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 49.

The spelling of 4141083438328 in words is "four trillion, one hundred forty-one billion, eighty-three million, four hundred thirty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 19 29 38 58 76 103 116 152 206 232 412 551 824 1102 1283 1957 2204 2566 2987 3914 4408 5132 5974 7109 7828 10264 11948 14218 15656 23896 24377 28436 37207 48754 56753 56872 74414 97508 113506 132149 135071 148828 195016 206161 227012 264298 270142 297656 412322 454024 528596 540284 706933 732227 824644 1057192 1080568 1413866 1464454 1649288 2510831 2827732 2928908 3832321 3917059 5021662 5655464 5857816 7664642 7834118 9120847 10043324 13912313 15329284 15668236 18241694 20086648 21234583 27824626 30658568 31336472 36483388 42469166 55649252 72814099 72966776 84938332 111298504 145628198 169876664 173296093 264504563 291256396 346592186 403457077 529009126 582512792 693184372 806914154 939447241 1058018252 1386368744 1613828308 1878894482 2116036504 3227656616 3757788964 5025586697 7515577928 10051173394 17849497579 20102346788 27243969989 35698995158 40204693576 54487939978 71397990316 108975879956 142795980632 217951759912 517635429791 1035270859582 2070541719164 4141083438328