Search a number
-
+
4335142131405 = 32596336491809
BaseRepresentation
bin111111000101011010100…
…110110101011011001101
3120100102202111201222020200
4333011122212311123031
51032011332341201110
613115311541004113
7625126602060201
oct77053246653315
916312674658220
104335142131405
111421583797378
125a021a3b3639
13255a57423527
1410db717c8b01
1577b789226c0
hex3f15a9b56cd

4335142131405 has 12 divisors (see below), whose sum is σ = 7514246361180. Its totient is φ = 2312075803392.

The previous prime is 4335142131379. The next prime is 4335142131427. The reversal of 4335142131405 is 5041312415334.

4335142131405 is a `hidden beast` number, since 4 + 3 + 3 + 514 + 2 + 131 + 4 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2392748016201 + 1942394115204 = 1546851^2 + 1393698^2 .

It is not a de Polignac number, because 4335142131405 - 28 = 4335142131149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4335142131405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48168245860 + ... + 48168245949.

It is an arithmetic number, because the mean of its divisors is an integer number (626187196765).

Almost surely, 24335142131405 is an apocalyptic number.

4335142131405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4335142131405 is a deficient number, since it is larger than the sum of its proper divisors (3179104229775).

4335142131405 is a wasteful number, since it uses less digits than its factorization.

4335142131405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96336491820 (or 96336491817 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 4335142131405 its reverse (5041312415334), we get a palindrome (9376454546739).

The spelling of 4335142131405 in words is "four trillion, three hundred thirty-five billion, one hundred forty-two million, one hundred thirty-one thousand, four hundred five".

Divisors: 1 3 5 9 15 45 96336491809 289009475427 481682459045 867028426281 1445047377135 4335142131405