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41421414324240 = 24325107235365079
BaseRepresentation
bin10010110101100001011001…
…01011111101100000010000
312102122211220120202012011100
421122300230223331200100
520412122024031333430
6224032422434144400
711503412155332666
oct1132605453754020
9172584816665140
1041421414324240
111221a7a5594095
12478b8b7a22100
131a1603a8a18c2
14a32b42b6ac36
154bc6ecd6b960
hex25ac2cafd810

41421414324240 has 120 divisors (see below), whose sum is σ = 139119915130560. Its totient is φ = 11044678332672.

The previous prime is 41421414324181. The next prime is 41421414324341. The reversal of 41421414324240 is 4242341412414.

41421414324240 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 141 + 432 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41421414324195 and 41421414324204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5038021 + ... + 10403099.

It is an arithmetic number, because the mean of its divisors is an integer number (1159332626088).

Almost surely, 241421414324240 is an apocalyptic number.

41421414324240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41421414324240 is an abundant number, since it is smaller than the sum of its proper divisors (97698500806320).

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

41421414324240 is a wasteful number, since it uses less digits than its factorization.

41421414324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5375821 (or 5375812 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 41421414324240 its reverse (4242341412414), we get a palindrome (45663755736654).

The spelling of 41421414324240 in words is "forty-one trillion, four hundred twenty-one billion, four hundred fourteen million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 10723 21446 32169 42892 53615 64338 85784 96507 107230 128676 160845 171568 193014 214460 257352 321690 386028 428920 482535 514704 643380 772056 857840 965070 1286760 1544112 1930140 2573520 3860280 5365079 7720560 10730158 16095237 21460316 26825395 32190474 42920632 48285711 53650790 64380948 80476185 85841264 96571422 107301580 128761896 160952370 193142844 214603160 241428555 257523792 321904740 386285688 429206320 482857110 643809480 772571376 965714220 1287618960 1931428440 3862856880 57529742117 115059484234 172589226351 230118968468 287648710585 345178452702 460237936936 517767679053 575297421170 690356905404 862946131755 920475873872 1035535358106 1150594842340 1380713810808 1725892263510 2071070716212 2301189684680 2588838395265 2761427621616 3451784527020 4142141432424 4602379369360 5177676790530 6903569054040 8284282864848 10355353581060 13807138108080 20710707162120 41421414324240