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41024350400 = 2652112330929
BaseRepresentation
bin100110001101001111…
…011110100011000000
310220220001112221002012
4212031033132203000
51133004213203100
630502450112052
72651423140055
oct461517364300
9126801487065
1041024350400
11164421a3720
127b4ab7b628
133b3a367067
141db265702c
1511018c8135
hex98d3de8c0

41024350400 has 84 divisors (see below), whose sum is σ = 110122456920. Its totient is φ = 14917939200.

The previous prime is 41024350397. The next prime is 41024350421. The reversal of 41024350400 is 405342014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1147865 + ... + 1183064.

It is an arithmetic number, because the mean of its divisors is an integer number (1310981630).

Almost surely, 241024350400 is an apocalyptic number.

41024350400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41024350400 is an abundant number, since it is smaller than the sum of its proper divisors (69098106520).

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

41024350400 is a wasteful number, since it uses less digits than its factorization.

41024350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330962 (or 2330947 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

Adding to 41024350400 its reverse (405342014), we get a palindrome (41429692414).

The spelling of 41024350400 in words is "forty-one billion, twenty-four million, three hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 2330929 4661858 9323716 11654645 18647432 23309290 25640219 37294864 46618580 51280438 58273225 74589728 93237160 102560876 116546450 128201095 149179456 186474320 205121752 233092900 256402190 372948640 410243504 466185800 512804380 641005475 745897280 820487008 932371600 1025608760 1282010950 1640974016 1864743200 2051217520 2564021900 3729486400 4102435040 5128043800 8204870080 10256087600 20512175200 41024350400