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34053042205 = 5721341260773
BaseRepresentation
bin11111101101101110…
…000011000000011101
310020220012210210001101
4133231232003000131
51024220034322310
623351014513101
72313603040300
oct375556030035
9106805723041
1034053042205
1113495066696
126724365791
133298c98820
141910848b37
15d4487a43a
hex7edb8301d

34053042205 has 48 divisors (see below), whose sum is σ = 52440608304. Its totient is φ = 21028654080.

The previous prime is 34053042203. The next prime is 34053042209. The reversal of 34053042205 is 50224035043.

It can be written as a sum of positive squares in 8 ways, for example, as 4655196441 + 29397845764 = 68229^2 + 171458^2 .

It is not a de Polignac number, because 34053042205 - 21 = 34053042203 is a prime.

It is a super-2 number, since 2×340530422052 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34053042203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199 + ... + 260971.

It is an arithmetic number, because the mean of its divisors is an integer number (1092512673).

Almost surely, 234053042205 is an apocalyptic number.

34053042205 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34053042205 is a deficient number, since it is larger than the sum of its proper divisors (18387566099).

34053042205 is a wasteful number, since it uses less digits than its factorization.

34053042205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260846 (or 260839 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

Adding to 34053042205 its reverse (50224035043), we get a palindrome (84277077248).

The spelling of 34053042205 in words is "thirty-four billion, fifty-three million, forty-two thousand, two hundred five".

Divisors: 1 5 7 13 35 41 49 65 91 205 245 287 455 533 637 1435 2009 2665 3185 3731 10045 18655 26117 130585 260773 1303865 1825411 3390049 9127055 10691693 12777877 16950245 23730343 53458465 63889385 74841851 118651715 138992009 166112401 374209255 523892957 694960045 830562005 972944063 2619464785 4864720315 6810608441 34053042205