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41041608355328 = 297547103920149
BaseRepresentation
bin10010101010011101111100…
…11111001010111000000000
312101022112120020210220000212
421111032332133022320000
520334411203214332303
6223142130554133252
711434105213013120
oct1125167637127000
9171275506726025
1041041608355328
1112093714a67189
12472a17b721228
1319b928cbb56a9
14a1c5d295ac80
154b28be269ad8
hex2553be7cae00

41041608355328 has 160 divisors (see below), whose sum is σ = 93984139392000. Its totient is φ = 17539336249344.

The previous prime is 41041608355313. The next prime is 41041608355331. The reversal of 41041608355328 is 82355380614014.

41041608355328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×410416083553282 (a number of 28 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2036895398 + ... + 2036915546.

It is an arithmetic number, because the mean of its divisors is an integer number (587400871200).

Almost surely, 241041608355328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41041608355328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46992069696000).

41041608355328 is an abundant number, since it is smaller than the sum of its proper divisors (52942531036672).

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

41041608355328 is a wasteful number, since it uses less digits than its factorization.

41041608355328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21760 (or 21744 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 50.

The spelling of 41041608355328 in words is "forty-one trillion, forty-one billion, six hundred eight million, three hundred fifty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 547 896 1039 1094 1792 2078 2188 3584 3829 4156 4376 7273 7658 8312 8752 14546 15316 16624 17504 20149 29092 30632 33248 35008 40298 58184 61264 66496 70016 80596 116368 122528 132992 140032 141043 161192 232736 245056 265984 280064 282086 322384 465472 490112 531968 564172 568333 644768 930944 980224 1128344 1136666 1289536 1861888 1960448 2256688 2273332 2579072 3723776 3978331 4513376 4546664 5158144 7956662 9026752 9093328 10316288 11021503 15913324 18053504 18186656 20934811 22043006 31826648 36107008 36373312 41869622 44086012 63653296 72214016 72746624 77150521 83739244 88172024 127306592 145493248 146543677 154301042 167478488 176344048 254613184 290986496 293087354 308602084 334956976 352688096 509226368 586174708 617204168 669913952 705376192 1018452736 1172349416 1234408336 1339827904 1410752384 2036905472 2344698832 2468816672 2679655808 2821504768 4689397664 4937633344 5359311616 5643009536 9378795328 9875266688 10718623232 11451341617 18757590656 19750533376 22902683234 37515181312 39501066752 45805366468 75030362624 80159391319 91610732936 160318782638 183221465872 320637565276 366442931744 641275130552 732885863488 1282550261104 1465771726976 2565100522208 2931543453952 5130201044416 5863086907904 10260402088832 20520804177664 41041608355328