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4344013105 = 52323121709
BaseRepresentation
bin1000000101110110…
…00110000100110001
3102012202000201201021
410002323012010301
532344031404410
61555015135441
7212435334145
oct40273060461
912182021637
104344013105
11192a09a383
12a12974581
13542c8c873
142d2d03225
151a6579eda
hex102ec6131

4344013105 has 36 divisors (see below), whose sum is σ = 5634063540. Its totient is φ = 3215002560.

The previous prime is 4344013097. The next prime is 4344013129. The reversal of 4344013105 is 5013104434.

It can be written as a sum of positive squares in 2 ways, for example, as 1171282176 + 3172730929 = 34224^2 + 56327^2 .

It is not a de Polignac number, because 4344013105 - 23 = 4344013097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4344013105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2540991 + ... + 2542699.

It is an arithmetic number, because the mean of its divisors is an integer number (156501765).

Almost surely, 24344013105 is an apocalyptic number.

It is an amenable number.

4344013105 is a deficient number, since it is larger than the sum of its proper divisors (1290050435).

4344013105 is a wasteful number, since it uses less digits than its factorization.

4344013105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 4344013105 is about 65909.1276303973. The cubic root of 4344013105 is about 1631.6626622835.

Adding to 4344013105 its reverse (5013104434), we get a palindrome (9357117539).

The spelling of 4344013105 in words is "four billion, three hundred forty-four million, thirteen thousand, one hundred five".

Divisors: 1 5 23 31 115 155 529 713 961 1709 2645 3565 4805 8545 16399 22103 39307 52979 81995 110515 196535 264895 508369 904061 1218517 1642349 2541845 4520305 6092585 8211745 28025891 37774027 140129455 188870135 868802621 4344013105