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41303133130314 = 23112671123428739
BaseRepresentation
bin10010110010000101000101…
…00101000000111001001010
312102020112121100210222100010
421121002202211000321022
520403202304040132224
6223502221501452350
711462024066640006
oct1131024245007112
9172215540728303
1041303133130314
1112184618977460
1247709a78710b6
131a07b3a819963
14a2b121c03706
154b95c8c31e29
hex2590a2940e4a

41303133130314 has 32 divisors (see below), whose sum is σ = 90119304414720. Its totient is φ = 12515631839600.

The previous prime is 41303133130271. The next prime is 41303133130339.

41303133130314 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 9951444 + ... + 13477295.

It is an arithmetic number, because the mean of its divisors is an integer number (2816228262960).

Almost surely, 241303133130314 is an apocalyptic number.

41303133130314 is an abundant number, since it is smaller than the sum of its proper divisors (48816171284406).

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

41303133130314 is a wasteful number, since it uses less digits than its factorization.

41303133130314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23455466.

The product of its (nonzero) digits is 11664, while the sum is 30.

It can be divided in two parts, 4130313 and 3130314, that added together give a palindrome (7260627).

The spelling of 41303133130314 in words is "forty-one trillion, three hundred three billion, one hundred thirty-three million, one hundred thirty thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 26711 53422 80133 160266 293821 587642 881463 1762926 23428739 46857478 70286217 140572434 257716129 515432258 773148387 1546296774 625805047429 1251610094858 1877415142287 3754830284574 6883855521719 13767711043438 20651566565157 41303133130314