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41414413424520 = 23358324533169489
BaseRepresentation
bin10010110101010100010110…
…11001101001011110001000
312102122011211200022122012010
421122222023121221132020
520412013204314041040
6224025304024415520
711503043525555433
oct1132521331513610
9172564750278163
1041414413424520
1112217832785554
12478a4833175a0
131a154933422a6
14a3267b05881a
154bc43d425e80
hex25aa8b669788

41414413424520 has 128 divisors (see below), whose sum is σ = 125746014038400. Its totient is φ = 10910276112384.

The previous prime is 41414413424491. The next prime is 41414413424551. The reversal of 41414413424520 is 2542431441414.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244263936 + ... + 244433424.

It is an arithmetic number, because the mean of its divisors is an integer number (982390734675).

Almost surely, 241414413424520 is an apocalyptic number.

41414413424520 is a gapful number since it is divisible by the number (40) 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 41414413424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62873007019200).

41414413424520 is an abundant number, since it is smaller than the sum of its proper divisors (84331600613880).

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

41414413424520 is a wasteful number, since it uses less digits than its factorization.

41414413424520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194119 (or 194115 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 39.

Adding to 41414413424520 its reverse (2542431441414), we get a palindrome (43956844865934).

The spelling of 41414413424520 in words is "forty-one trillion, four hundred fourteen billion, four hundred thirteen million, four hundred twenty-four thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 24533 49066 73599 98132 122665 147198 169489 196264 245330 294396 338978 367995 490660 508467 588792 677956 735990 847445 981320 1016934 1355912 1471980 1694890 2033868 2036239 2542335 2943960 3389780 4067736 4072478 5084670 6108717 6779560 8144956 10169340 10181195 12217434 14067587 16289912 20338680 20362390 24434868 28135174 30543585 40724780 42202761 48869736 56270348 61087170 70337935 81449560 84405522 112540696 122174340 140675870 168811044 211013805 244348680 281351740 337622088 422027610 562703480 844055220 1688110440 4158073637 8316147274 12474220911 16632294548 20790368185 24948441822 33264589096 41580736370 49896883644 62371104555 83161472740 99793767288 124742209110 166322945480 249484418220 345120111871 498968836440 690240223742 1035360335613 1380480447484 1725600559355 2070720671226 2760960894968 3451201118710 4141441342452 5176801678065 6902402237420 8282882684904 10353603356130 13804804474840 20707206712260 41414413424520