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34344142011 = 3229433538669
BaseRepresentation
bin11111111111000100…
…100000010010111011
310021122111120011220200
4133333010200102323
51030314100021021
623435534053243
72324036250624
oct377704402273
9107574504820
1034344142011
1113624411243
1267a594a223
13331439b52a
14193b382a4b
15d601cc126
hex7ff1204bb

34344142011 has 48 divisors (see below), whose sum is σ = 52667128800. Its totient is φ = 21528815616.

The previous prime is 34344141977. The next prime is 34344142039. The reversal of 34344142011 is 11024144343.

34344142011 is a `hidden beast` number, since 3 + 43 + 4 + 414 + 201 + 1 = 666.

It is not a de Polignac number, because 34344142011 - 219 = 34343617723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34344142061) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3957385 + ... + 3966053.

It is an arithmetic number, because the mean of its divisors is an integer number (1097231850).

Almost surely, 234344142011 is an apocalyptic number.

34344142011 is a deficient number, since it is larger than the sum of its proper divisors (18322986789).

34344142011 is a wasteful number, since it uses less digits than its factorization.

34344142011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9100 (or 9097 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 34344142011 its reverse (11024144343), we get a palindrome (45368286354).

The spelling of 34344142011 in words is "thirty-four billion, three hundred forty-four million, one hundred forty-two thousand, eleven".

Divisors: 1 3 9 29 43 87 129 261 353 387 1059 1247 3177 3741 8669 10237 11223 15179 26007 30711 45537 78021 92133 136611 251401 372767 440191 754203 1118301 1320573 2262609 3060157 3354903 3961719 9180471 10810243 27541413 32430729 88744553 97292187 131586751 266233659 394760253 798700977 1184280759 3816015779 11448047337 34344142011