Search a number
-
+
10440030432013 = 713375189597551
BaseRepresentation
bin1001011111101100001001…
…0011100010101100001101
31100222001112200010021012021
42113323002103202230031
52332022140242311023
634112030032210141
72125160454324220
oct227730223425415
940861480107167
1010440030432013
11336565700a486
121207421099951
135a964bc42910
1428142b9415b7
15131880d3535d
hex97ec24e2b0d

10440030432013 has 32 divisors (see below), whose sum is σ = 13199111009280. Its totient is φ = 8035431724800.

The previous prime is 10440030431993. The next prime is 10440030432019. The reversal of 10440030432013 is 31023403004401.

10440030432013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10440030432013 - 25 = 10440030431981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10440030432019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17172588 + ... + 17770138.

It is an arithmetic number, because the mean of its divisors is an integer number (412472219040).

Almost surely, 210440030432013 is an apocalyptic number.

10440030432013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10440030432013 is a deficient number, since it is larger than the sum of its proper divisors (2759080577267).

10440030432013 is a wasteful number, since it uses less digits than its factorization.

10440030432013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602797.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10440030432013 its reverse (31023403004401), we get a palindrome (41463433436414).

The spelling of 10440030432013 in words is "ten trillion, four hundred forty billion, thirty million, four hundred thirty-two thousand, thirteen".

Divisors: 1 7 13 37 91 259 481 3367 5189 36323 67457 191993 472199 597551 1343951 2495909 4182857 7768163 17471363 22109387 54377141 154765709 287422031 2011954217 3100692139 21704844973 40308997807 114725609143 282162984649 803079264001 1491432918859 10440030432013