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41026004200 = 23522910766107
BaseRepresentation
bin100110001101010101…
…110010010011101000
310220220011122221200001
4212031111302103220
51133010124113300
630502545352344
72651443165456
oct461525622350
9126804587601
1041026004200
11164431231a5
127b4b6386b4
133b3a7c5a3c
141db29679d6
151101b0316a
hex98d5724e8

41026004200 has 96 divisors (see below), whose sum is σ = 99598312800. Its totient is φ = 15696208640.

The previous prime is 41026004197. The next prime is 41026004213. The reversal of 41026004200 is 240062014.

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 23 ways as a sum of consecutive naturals, for example, 587547 + ... + 653653.

It is an arithmetic number, because the mean of its divisors is an integer number (1037482425).

Almost surely, 241026004200 is an apocalyptic number.

41026004200 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 41026004200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49799156400).

41026004200 is an abundant number, since it is smaller than the sum of its proper divisors (58572308600).

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

41026004200 is a wasteful number, since it uses less digits than its factorization.

41026004200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66259 (or 66250 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 41026004200 its reverse (240062014), we get a palindrome (41266066214).

The spelling of 41026004200 in words is "forty-one billion, twenty-six million, four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 107 116 145 200 214 232 290 428 535 580 725 856 1070 1160 1450 2140 2675 2900 3103 4280 5350 5800 6206 10700 12412 15515 21400 24824 31030 62060 66107 77575 124120 132214 155150 264428 310300 330535 528856 620600 661070 1322140 1652675 1917103 2644280 3305350 3834206 6610700 7073449 7668412 9585515 13221400 14146898 15336824 19171030 28293796 35367245 38342060 47927575 56587592 70734490 76684120 95855150 141468980 176836225 191710300 205130021 282937960 353672450 383420600 410260042 707344900 820520084 1025650105 1414689800 1641040168 2051300210 4102600420 5128250525 8205200840 10256501050 20513002100 41026004200