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41424142332200 = 2352739887315977
BaseRepresentation
bin10010110101100110011110…
…10010011111000100101000
312102200002221200222100120012
421122303033102133010220
520412143120414112300
6224033553244551052
711503536602116655
oct1132631722370450
9172602850870505
1041424142332200
111222097546a921
124790339552488
131a16383b136b4
14a32d211b0c2c
154bc80c5d5435
hex25accf49f128

41424142332200 has 96 divisors (see below), whose sum is σ = 96550490462400. Its totient is φ = 16528527613440.

The previous prime is 41424142332163. The next prime is 41424142332241. The reversal of 41424142332200 is 223324142414.

It is a happy number.

41424142332200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 130940612 + ... + 131256588.

It is an arithmetic number, because the mean of its divisors is an integer number (1005734275650).

Almost surely, 241424142332200 is an apocalyptic number.

41424142332200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41424142332200 is an abundant number, since it is smaller than the sum of its proper divisors (55126348130200).

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

41424142332200 is a wasteful number, since it uses less digits than its factorization.

41424142332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317619 (or 317610 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 41424142332200 its reverse (223324142414), we get a palindrome (41647466474614).

The spelling of 41424142332200 in words is "forty-one trillion, four hundred twenty-four billion, one hundred forty-two million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 739 887 1478 1774 2956 3548 3695 4435 5912 7096 7390 8870 14780 17740 18475 22175 29560 35480 36950 44350 73900 88700 147800 177400 315977 631954 655493 1263908 1310986 1579885 2527816 2621972 3159770 3277465 5243944 6319540 6554930 7899425 12639080 13109860 15798850 16387325 26219720 31597700 32774650 63195400 65549300 131098600 233507003 280271599 467014006 560543198 934028012 1121086396 1167535015 1401357995 1868056024 2242172792 2335070030 2802715990 4670140060 5605431980 5837675075 7006789975 9340280120 11210863960 11675350150 14013579950 23350700300 28027159900 46701400600 56054319800 207120711661 414241423322 828482846644 1035603558305 1656965693288 2071207116610 4142414233220 5178017791525 8284828466440 10356035583050 20712071166100 41424142332200