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41113200414 = 231113293135279
BaseRepresentation
bin100110010010100010…
…011010011100011110
310221010020201222101110
4212102202122130132
51133144434403124
630515342322450
72653552303026
oct462242323436
9127106658343
1041113200414
1116488369a90
127b74889426
133b528a5730
141dc0384a86
1511095c9029
hex99289a71e

41113200414 has 128 divisors (see below), whose sum is σ = 100271001600. Its totient is φ = 11066065920.

The previous prime is 41113200413. The next prime is 41113200421. The reversal of 41113200414 is 41400231114.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41113200413) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7785427 + ... + 7790705.

It is an arithmetic number, because the mean of its divisors is an integer number (783367200).

Almost surely, 241113200414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41113200414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50135500800).

41113200414 is an abundant number, since it is smaller than the sum of its proper divisors (59157801186).

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

41113200414 is a wasteful number, since it uses less digits than its factorization.

41113200414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5650.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 41113200414 its reverse (41400231114), we get a palindrome (82513431528).

The spelling of 41113200414 in words is "forty-one billion, one hundred thirteen million, two hundred thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 13 22 26 29 33 39 58 66 78 87 143 174 286 313 319 377 429 626 638 754 858 939 957 1131 1878 1914 2262 3443 4069 4147 5279 6886 8138 8294 9077 10329 10558 12207 12441 15837 18154 20658 24414 24882 27231 31674 44759 54462 58069 68627 89518 99847 116138 118001 134277 137254 153091 174207 199694 205881 236002 268554 299541 306182 348414 354003 411762 459273 599082 708006 754897 918546 1298011 1509794 1652327 1684001 1990183 2264691 2596022 3304654 3368002 3894033 3980366 4529382 4956981 5052003 5970549 7788066 9913962 10104006 11941098 18175597 21480251 21892013 36351194 42960502 43784026 47917483 54526791 64440753 65676039 95834966 109053582 128881506 131352078 143752449 236282761 287504898 472565522 527092313 622927279 708848283 1054184626 1245854558 1417696566 1581276939 1868781837 3162553878 3737563674 6852200069 13704400138 20556600207 41113200414