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41021013205304 = 231119131727257611
BaseRepresentation
bin10010101001110111100101…
…11010111010000100111000
312101020120101221101212102122
421110323302322322010320
520334042013340032204
6223124443204420412
711432445643100006
oct1124736272720470
9171216357355378
1041021013205304
1112085a065a2140
1247261923a7708
1319b735a11c8a2
14a1b5db5d1a76
154b20b613d0be
hex254ef2eba138

41021013205304 has 128 divisors (see below), whose sum is σ = 89119737907200. Its totient is φ = 17505526896000.

The previous prime is 41021013205303. The next prime is 41021013205307. The reversal of 41021013205304 is 40350231012014.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41021013205303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159107459 + ... + 159365069.

It is an arithmetic number, because the mean of its divisors is an integer number (696247952400).

Almost surely, 241021013205304 is an apocalyptic number.

41021013205304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41021013205304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44559868953600).

41021013205304 is an abundant number, since it is smaller than the sum of its proper divisors (48098724701896).

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

41021013205304 is a wasteful number, since it uses less digits than its factorization.

41021013205304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258505 (or 258501 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 41021013205304 its reverse (40350231012014), we get a palindrome (81371244217318).

The spelling of 41021013205304 in words is "forty-one trillion, twenty-one billion, thirteen million, two hundred five thousand, three hundred four".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 131 152 209 262 418 524 727 836 1048 1441 1454 1672 2489 2882 2908 4978 5764 5816 7997 9956 11528 13813 15994 19912 27379 27626 31988 54758 55252 63976 95237 109516 110504 151943 190474 219032 257611 303886 380948 515222 607772 761896 1030444 1047607 1215544 1809503 2060888 2095214 2833721 3619006 4190428 4894609 5667442 7238012 8380856 9789218 11334884 14476024 19578436 19904533 22669768 33747041 39156872 39809066 53840699 67494082 79618132 107681398 134988164 159236264 187283197 215362796 269976328 371217451 374566394 430725592 641193779 742434902 749132788 1282387558 1484869804 1498265576 2060115167 2564775116 2969739608 3558380743 4120230334 5129550232 7053131569 7116761486 8240460668 14106263138 14233522972 16480921336 24534098807 28212526276 28467045944 39142188173 49068197614 56425052552 78284376346 98136395228 156568752692 196272790456 269875086877 313137505384 466147877333 539750173754 932295754666 1079500347508 1864591509332 2159000695016 3729183018664 5127626650663 10255253301326 20510506602652 41021013205304