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41604451142320 = 24511199461515351
BaseRepresentation
bin10010111010110110010101…
…00010000000101010110000
312110022100100201210221122201
421131123022202000222300
520423121403443023240
6224252453200312544
711522552040532063
oct1135331242005260
9173270321727581
1041604451142320
1112290392053680
1247bb27a612754
131a2a38a71bb11
14a3b947dd48da
154c2361e8cd9a
hex25d6ca880ab0

41604451142320 has 160 divisors (see below), whose sum is σ = 106284547353600. Its totient is φ = 15020184960000.

The previous prime is 41604451142281. The next prime is 41604451142413. The reversal of 41604451142320 is 2324115440614.

It is a self number, because there is not a number n which added to its sum of digits gives 41604451142320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80472645 + ... + 80987995.

It is an arithmetic number, because the mean of its divisors is an integer number (664278420960).

Almost surely, 241604451142320 is an apocalyptic number.

41604451142320 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 41604451142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53142273676800).

41604451142320 is an abundant number, since it is smaller than the sum of its proper divisors (64680096211280).

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

41604451142320 is a wasteful number, since it uses less digits than its factorization.

41604451142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516035 (or 516029 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

Adding to 41604451142320 its reverse (2324115440614), we get a palindrome (43928566582934).

The spelling of 41604451142320 in words is "forty-one trillion, six hundred four billion, four hundred fifty-one million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 199 220 398 440 461 796 880 922 995 1592 1844 1990 2189 2305 3184 3688 3980 4378 4610 5071 7376 7960 8756 9220 10142 10945 15920 17512 18440 20284 21890 25355 35024 36880 40568 43780 50710 81136 87560 91739 101420 175120 183478 202840 366956 405680 458695 515351 733912 917390 1009129 1030702 1467824 1834780 2018258 2061404 2576755 3669560 4036516 4122808 5045645 5153510 5668861 7339120 8073032 8245616 10091290 10307020 11337722 16146064 20182580 20614040 22675444 28344305 40365160 41228080 45350888 56688610 80730320 90701776 102554849 113377220 205109698 226754440 237576811 410219396 453508880 475153622 512774245 820438792 950307244 1025548490 1128103339 1187884055 1640877584 1900614488 2051096980 2256206678 2375768110 2613344921 3801228976 4102193960 4512413356 4751536220 5226689842 5640516695 8204387920 9024826712 9503072440 10453379684 11281033390 13066724605 18049653424 19006144880 20906759368 22562066780 26133449210 41813518736 45124133560 47277785389 52266898420 90248267120 94555570778 104533796840 189111141556 209067593680 236388926945 378222283112 472777853890 520055639279 756444566224 945555707780 1040111278558 1891111415560 2080222557116 2600278196395 3782222831120 4160445114232 5200556392790 8320890228464 10401112785580 20802225571160 41604451142320