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41107540441104 = 2432285469030841
BaseRepresentation
bin10010101100011000110000…
…10110000111100000010000
312101112211202011122212122200
421112030120112013200100
520342001220323103404
6223232313211403200
711441631113340414
oct1126143026074020
9171484664585580
1041107540441104
11121096789a9075
12473ab00153500
1319c25696202b7
14a218891c0d44
154b447c68c839
hex256318587810

41107540441104 has 30 divisors (see below), whose sum is σ = 115044019429326. Its totient is φ = 13702513480320.

The previous prime is 41107540441073. The next prime is 41107540441139. The reversal of 41107540441104 is 40114404570114.

41107540441104 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 7 + 540 + 4 + 4 + 1 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34641464490000 + 6466075951104 = 5885700^2 + 2542848^2 .

It is a super-2 number, since 2×411075404411042 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 5 ways as a sum of consecutive naturals, for example, 142734515277 + ... + 142734515564.

Almost surely, 241107540441104 is an apocalyptic number.

It is an amenable number.

41107540441104 is an abundant number, since it is smaller than the sum of its proper divisors (73936478988222).

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

41107540441104 is a wasteful number, since it uses less digits than its factorization.

41107540441104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285469030855 (or 285469030846 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 41107540441104 in words is "forty-one trillion, one hundred seven billion, five hundred forty million, four hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 285469030841 570938061682 856407092523 1141876123364 1712814185046 2283752246728 2569221277569 3425628370092 4567504493456 5138442555138 6851256740184 10276885110276 13702513480368 20553770220552 41107540441104