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41321131304300 = 22522959487495899
BaseRepresentation
bin10010110010100110100110…
…10110100110010101101100
312102022021001200112221112122
421121103103112212111230
520404001134103214200
6223514355441052112
711463232103615321
oct1131232326462554
9172267050487478
1041321131304300
1112191214421a11
12477438b327038
131a0974855b053
14a2bd4c2b6b48
154b9ccdd79385
hex2594d35a656c

41321131304300 has 144 divisors (see below), whose sum is σ = 94524887520000. Its totient is φ = 15655777562880.

The previous prime is 41321131304261. The next prime is 41321131304351. The reversal of 41321131304300 is 340313112314.

41321131304300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41321131304300.

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 47 ways as a sum of consecutive naturals, for example, 83077751 + ... + 83573649.

It is an arithmetic number, because the mean of its divisors is an integer number (656422830000).

Almost surely, 241321131304300 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 41321131304300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47262443760000).

41321131304300 is an abundant number, since it is smaller than the sum of its proper divisors (53203756215700).

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

41321131304300 is a wasteful number, since it uses less digits than its factorization.

41321131304300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496488 (or 496481 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 41321131304300 its reverse (340313112314), we get a palindrome (41661444416614).

The spelling of 41321131304300 in words is "forty-one trillion, three hundred twenty-one billion, one hundred thirty-one million, three hundred four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 59 100 116 118 145 236 290 295 487 580 590 725 974 1180 1450 1475 1711 1948 2435 2900 2950 3422 4870 5900 6844 8555 9740 12175 14123 17110 24350 28246 28733 34220 42775 48700 56492 57466 70615 85550 114932 141230 143665 171100 282460 287330 353075 495899 574660 706150 718325 833257 991798 1412300 1436650 1666514 1983596 2479495 2873300 3333028 4166285 4958990 8332570 9917980 12397475 14381071 16665140 20831425 24794950 28762142 29258041 41662850 49589900 57524284 58516082 71905355 83325700 117032164 143810710 146290205 241502813 287621420 292580410 359526775 483005626 585160820 719053550 731451025 848483189 966011252 1207514065 1438107100 1462902050 1696966378 2415028130 2925804100 3393932756 4242415945 4830056260 6037570325 7003581577 8484831890 12075140650 14007163154 14248665967 16969663780 21212079725 24150281300 28014326308 28497331934 35017907885 42424159450 56994663868 70035815770 71243329835 84848318900 140071631540 142486659670 175089539425 284973319340 350179078850 356216649175 413211313043 700358157700 712433298350 826422626086 1424866596700 1652845252172 2066056565215 4132113130430 8264226260860 10330282826075 20660565652150 41321131304300