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134434322041 = 7983181227499
BaseRepresentation
bin111110100110011101…
…0001111011001111001
3110211222221220010220111
41331030322033121321
54200310141301131
6141431442024321
712466256611645
oct1751472173171
9424887803814
10134434322041
1152016740998
12220799480a1
13c8a5793b26
146714399c25
15376c2cbab1
hex1f4ce8f679

134434322041 has 32 divisors (see below), whose sum is σ = 139426560000. Its totient is φ = 129574261440.

The previous prime is 134434322003. The next prime is 134434322051. The reversal of 134434322041 is 140223434431.

It is not a de Polignac number, because 134434322041 - 29 = 134434321529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 134434321994 and 134434322012.

It is not an unprimeable number, because it can be changed into a prime (134434322051) 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 31 ways as a sum of consecutive naturals, for example, 269407210 + ... + 269407708.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080000).

Almost surely, 2134434322041 is an apocalyptic number.

It is an amenable number.

134434322041 is a deficient number, since it is larger than the sum of its proper divisors (4992237959).

134434322041 is a wasteful number, since it uses less digits than its factorization.

134434322041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069.

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 134434322041 its reverse (140223434431), we get a palindrome (274657756472).

The spelling of 134434322041 in words is "one hundred thirty-four billion, four hundred thirty-four million, three hundred twenty-two thousand, forty-one".

Divisors: 1 79 83 181 227 499 6557 14299 15023 17933 18841 39421 41087 41417 90319 113273 1186817 1488439 3245873 3271943 3410221 7135201 7496477 8948567 9401659 20502413 269407459 592221683 742731061 1619690627 1701700279 134434322041