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42441104141313 = 3192431138065129
BaseRepresentation
bin10011010011001100101101…
…11011111010110000000001
312120021022220112000221220120
421221212112323322300001
521030323340130010223
6230133101333530453
711640161060635353
oct1151462673726001
9176238815027816
1042441104141313
1112583197939a79
124915453aa3a29
131a8b2431c0377
14a6a2361d50d3
154d8ecceccbe3
hex269996efac01

42441104141313 has 48 divisors (see below), whose sum is σ = 61652950729920. Its totient is φ = 25949839684608.

The previous prime is 42441104141297. The next prime is 42441104141357. The reversal of 42441104141313 is 31314140114424.

42441104141313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42441104141313 - 24 = 42441104141297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42441104140313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229733 + ... + 9294861.

It is an arithmetic number, because the mean of its divisors is an integer number (1284436473540).

Almost surely, 242441104141313 is an apocalyptic number.

42441104141313 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

42441104141313 is a deficient number, since it is larger than the sum of its proper divisors (19211846588607).

42441104141313 is a wasteful number, since it uses less digits than its factorization.

42441104141313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8065326 (or 8065307 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

Adding to 42441104141313 its reverse (31314140114424), we get a palindrome (73755244255737).

The spelling of 42441104141313 in words is "forty-two trillion, four hundred forty-one billion, one hundred four million, one hundred forty-one thousand, three hundred thirteen".

Divisors: 1 3 19 43 57 113 129 339 361 817 1083 2147 2451 4859 6441 14577 15523 40793 46569 92321 122379 276963 1754099 5262297 8065129 24195387 153237451 346800547 459712353 911359577 1040401641 2734078731 2911511569 6589210393 8734534707 17315831963 19767631179 39188461811 51947495889 117565385433 125194997467 329000807297 375584992401 744580774409 987002421891 2233742323227 14147034713771 42441104141313