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244367511010513 = 1131267367940127
BaseRepresentation
bin110111100100000000111110…
…101100000011110011010001
31012001020022021000001110201221
4313210000332230003303101
5224012204130304314023
62223420515040125041
7102320653504416502
oct6744007654036321
91161208230043657
10244367511010513
1170954752354750
12234a8089006781
13a6479b0052667
14444b6447b0ba9
151d3b85e28285d
hexde403eb03cd1

244367511010513 has 48 divisors (see below), whose sum is σ = 280332992765952. Its totient is φ = 211200058000800.

The previous prime is 244367511010507. The next prime is 244367511010529. The reversal of 244367511010513 is 315010115763442.

It is a happy number.

It is not a de Polignac number, because 244367511010513 - 245 = 209183138921681 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 244367511010513.

It is not an unprimeable number, because it can be changed into a prime (244367511010543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259460256 + ... + 260400382.

It is an arithmetic number, because the mean of its divisors is an integer number (5840270682624).

Almost surely, 2244367511010513 is an apocalyptic number.

It is an amenable number.

244367511010513 is a deficient number, since it is larger than the sum of its proper divisors (35965481755439).

244367511010513 is a wasteful number, since it uses less digits than its factorization.

244367511010513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940634 (or 940603 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

Adding to 244367511010513 its reverse (315010115763442), we get a palindrome (559377626773955).

The spelling of 244367511010513 in words is "two hundred forty-four trillion, three hundred sixty-seven billion, five hundred eleven million, ten thousand, five hundred thirteen".

Divisors: 1 11 31 67 341 367 737 961 2077 4037 10571 11377 22847 24589 64387 125147 270479 352687 708257 762259 940127 3879557 8384849 10341397 23630029 29143937 62988509 259930319 320583307 345026609 692873599 903462047 1952643779 3795292699 9938082517 10695824879 21479081569 23116782803 60531957149 117654073669 254284610833 331570571249 665851528639 716620266893 3647276283739 7882822935823 22215228273683 244367511010513