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41334443314 = 217411011731697
BaseRepresentation
bin100110011111101110…
…011000110100110010
310221200200001021120221
4212133232120310302
51134123104141224
630553324323254
72662206654043
oct463756306462
9127620037527
1041334443314
111659124105a
1280169a352a
133b89689aa8
1420018d68ca
15111dc2c6e4
hex99fb98d32

41334443314 has 64 divisors (see below), whose sum is σ = 68348683872. Its totient is φ = 18669568000.

The previous prime is 41334443281. The next prime is 41334443341.

41334443314 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 16 ways, for example, as 32388121089 + 8946322225 = 179967^2 + 94585^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 41334443314.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24356514 + ... + 24358210.

Almost surely, 241334443314 is an apocalyptic number.

41334443314 is a deficient number, since it is larger than the sum of its proper divisors (27014240558).

41334443314 is a wasteful number, since it uses less digits than its factorization.

41334443314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031.

The product of its digits is 82944, while the sum is 34.

The spelling of 41334443314 in words is "forty-one billion, three hundred thirty-four million, four hundred forty-three thousand, three hundred fourteen".

Divisors: 1 2 17 34 41 82 101 173 202 346 697 1394 1697 1717 2941 3394 3434 4141 5882 7093 8282 14186 17473 28849 34946 57698 69577 70397 120581 139154 140794 171397 241162 293581 297041 342794 587162 594082 716393 1182809 1432786 2365618 2913749 4990877 5827498 7027277 9981754 12036821 12178681 14054554 24073642 24357362 29651681 59303362 119463709 204625957 238927418 409251914 504078577 1008157154 1215718921 2431437842 20667221657 41334443314