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4120344103005 = 3251333720900069
BaseRepresentation
bin111011111101010111101…
…001011000100001011101
3112120220022212100120000100
4323331113221120201131
51020001431042244010
612432505425451313
7603453653002224
oct73752751304135
915526285316010
104120344103005
111349478913439
12566672aa0b39
1323b715382b40
141035d6259cbb
15722a62822c0
hex3bf57a5885d

4120344103005 has 48 divisors (see below), whose sum is σ = 7714132236720. Its totient is φ = 2022457780224.

The previous prime is 4120344102989. The next prime is 4120344103013. The reversal of 4120344103005 is 5003014430214.

It is a happy number.

4120344103005 is a `hidden beast` number, since 4 + 1 + 2 + 0 + 344 + 10 + 300 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 96460557561 + 4023883545444 = 310581^2 + 2005962^2 .

It is not a de Polignac number, because 4120344103005 - 24 = 4120344102989 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4120344103005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10252890 + ... + 10647179.

It is an arithmetic number, because the mean of its divisors is an integer number (160711088265).

Almost surely, 24120344103005 is an apocalyptic number.

4120344103005 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4120344103005 is a deficient number, since it is larger than the sum of its proper divisors (3593788133715).

4120344103005 is a wasteful number, since it uses less digits than its factorization.

4120344103005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20900430 (or 20900427 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 4120344103005 its reverse (5003014430214), we get a palindrome (9123358533219).

The spelling of 4120344103005 in words is "four trillion, one hundred twenty billion, three hundred forty-four million, one hundred three thousand, five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 337 585 1011 1685 3033 4381 5055 13143 15165 21905 39429 65715 197145 20900069 62700207 104500345 188100621 271700897 313501035 815102691 940503105 1358504485 2445308073 4075513455 7043323253 12226540365 21129969759 35216616265 63389909277 91563202289 105649848795 274689606867 316949546385 457816011445 824068820601 1373448034335 4120344103005