Search a number
-
+
10444414200141 = 317394121385879
BaseRepresentation
bin1001011111111100011110…
…0110010010100101001101
31100222110212011221202112210
42113333013212102211031
52332110130013401031
634114033031421033
72125404214616265
oct227770746224515
940873764852483
1010444414200141
1133674a6592349
121208245224779
135a9b9a21165c
14281725c327a5
15131a3ab14746
hex97fc799294d

10444414200141 has 16 divisors (see below), whose sum is σ = 14021267276160. Its totient is φ = 6915337510080.

The previous prime is 10444414200107. The next prime is 10444414200173. The reversal of 10444414200141 is 14100241444401.

It is not a de Polignac number, because 10444414200141 - 211 = 10444414198093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10444414200099 and 10444414200108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10444414200191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10204561 + ... + 11181318.

It is an arithmetic number, because the mean of its divisors is an integer number (876329204760).

Almost surely, 210444414200141 is an apocalyptic number.

It is an amenable number.

10444414200141 is a deficient number, since it is larger than the sum of its proper divisors (3576853076019).

10444414200141 is a wasteful number, since it uses less digits than its factorization.

10444414200141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21386996.

The product of its (nonzero) digits is 8192, while the sum is 30.

Adding to 10444414200141 its reverse (14100241444401), we get a palindrome (24544655644542).

The spelling of 10444414200141 in words is "ten trillion, four hundred forty-four billion, four hundred fourteen million, two hundred thousand, one hundred forty-one".

Divisors: 1 3 173 519 941 2823 162793 488379 21385879 64157637 3699757067 11099271201 20124112139 60372336417 3481471400047 10444414200141