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34333014243331 = 1961199914818891
BaseRepresentation
bin1111100111001110001110…
…00111100011100000000011
311111120012111210102211001101
413303213013013203200003
514000003003121241311
6201004211412115231
710142323045641166
oct763470707434003
9144505453384041
1034333014243331
11aa37605531641
123a25b75005b17
131620787a5bcbb
14869a26309add
153e81319c5ec1
hex1f39c71e3803

34333014243331 has 16 divisors (see below), whose sum is σ = 36750852160000. Its totient is φ = 31976793597600.

The previous prime is 34333014243299. The next prime is 34333014243383. The reversal of 34333014243331 is 13334241033343.

It is a cyclic number.

It is not a de Polignac number, because 34333014243331 - 25 = 34333014243299 is a prime.

It is a super-2 number, since 2×343330142433312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (34333014223331) 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 15 ways as a sum of consecutive naturals, for example, 5092605 + ... + 9726286.

It is an arithmetic number, because the mean of its divisors is an integer number (2296928260000).

Almost surely, 234333014243331 is an apocalyptic number.

34333014243331 is a deficient number, since it is larger than the sum of its proper divisors (2417837916669).

34333014243331 is a wasteful number, since it uses less digits than its factorization.

34333014243331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14820970.

The product of its (nonzero) digits is 279936, while the sum is 37.

Adding to 34333014243331 its reverse (13334241033343), we get a palindrome (47667255276674).

The spelling of 34333014243331 in words is "thirty-four trillion, three hundred thirty-three billion, fourteen million, two hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 19 61 1159 1999 37981 121939 2316841 14818891 281558929 903952351 17175094669 29622963109 562836299071 1807000749649 34333014243331