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41342111104 = 277197234217
BaseRepresentation
bin100110100000001011…
…101000110110000000
310221201012110211211011
4212200023220312000
51134132040023404
630554200530304
72662332101110
oct464013506600
9127635424734
1041342111104
11165955a8a78
128019480994
133b8b142c48
142002931040
15111e744604
hex9a02e8d80

41342111104 has 64 divisors (see below), whose sum is σ = 94605334560. Its totient is φ = 17628033024.

The previous prime is 41342111089. The next prime is 41342111141. The reversal of 41342111104 is 40111124314.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59404 + ... + 293620.

Almost surely, 241342111104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41342111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47302667280).

41342111104 is an abundant number, since it is smaller than the sum of its proper divisors (53263223456).

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

41342111104 is a wasteful number, since it uses less digits than its factorization.

41342111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234435 (or 234423 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 41342111104 its reverse (40111124314), we get a palindrome (81453235418).

The spelling of 41342111104 in words is "forty-one billion, three hundred forty-two million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 197 224 394 448 788 896 1379 1576 2758 3152 5516 6304 11032 12608 22064 25216 44128 88256 176512 234217 468434 936868 1639519 1873736 3279038 3747472 6558076 7494944 13116152 14989888 26232304 29979776 46140749 52464608 92281498 104929216 184562996 209858432 322985243 369125992 645970486 738251984 1291940972 1476503968 2583881944 2953007936 5167763888 5906015872 10335527776 20671055552 41342111104