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34105434055 = 57111941113717
BaseRepresentation
bin11111110000110101…
…111001111111000111
310021000212101120011021
4133300311321333013
51024321442342210
623400125452011
72315110256230
oct376065717707
9107025346137
1034105434055
11135116a0440
126739a11007
1332a6ab0814
1419177a6087
15d49278bda
hex7f0d79fc7

34105434055 has 64 divisors (see below), whose sum is σ = 55021317120. Its totient is φ = 19650124800.

The previous prime is 34105434053. The next prime is 34105434089. The reversal of 34105434055 is 55043450143.

It is not a de Polignac number, because 34105434055 - 21 = 34105434053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34105434055.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34105434053) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243057 + ... + 356773.

It is an arithmetic number, because the mean of its divisors is an integer number (859708080).

Almost surely, 234105434055 is an apocalyptic number.

34105434055 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34105434055 is a deficient number, since it is larger than the sum of its proper divisors (20915883065).

34105434055 is a wasteful number, since it uses less digits than its factorization.

34105434055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113800.

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 34105434055 its reverse (55043450143), we get a palindrome (89148884198).

The spelling of 34105434055 in words is "thirty-four billion, one hundred five million, four hundred thirty-four thousand, fifty-five".

Divisors: 1 5 7 11 19 35 41 55 77 95 133 205 209 287 385 451 665 779 1045 1435 1463 2255 3157 3895 5453 7315 8569 15785 27265 42845 59983 113717 299915 568585 796019 1250887 2160623 3980095 4662397 6254435 8756209 10803115 15124361 23311985 23766853 32636779 43781045 51286367 75621805 88585543 118834265 163183895 166367971 256431835 359004569 442927715 620098801 831839855 974440973 1795022845 3100494005 4872204865 6821086811 34105434055