Search a number
-
+
12144410222432 = 2516719071191679
BaseRepresentation
bin1011000010111001011101…
…0000011101111101100000
31120222222211211101111101012
42300232113100131331200
53042433223004104212
641455022014200052
72362255543444115
oct260562720357540
946888754344335
1012144410222432
113962462a6a374
1214418024b3028
136a129cb83747
142ddb14c2690c
15160d85de9922
hexb0b9741df60

12144410222432 has 48 divisors (see below), whose sum is σ = 24065110056960. Its totient is φ = 6032674439808.

The previous prime is 12144410222363. The next prime is 12144410222459. The reversal of 12144410222432 is 23422201444121.

12144410222432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9595169 + ... + 10786847.

It is an arithmetic number, because the mean of its divisors is an integer number (501356459520).

Almost surely, 212144410222432 is an apocalyptic number.

It is an amenable number.

12144410222432 is a deficient number, since it is larger than the sum of its proper divisors (11920699834528).

12144410222432 is a wasteful number, since it uses less digits than its factorization.

12144410222432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193763 (or 1193755 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 12144410222432 its reverse (23422201444121), we get a palindrome (35566611666553).

The spelling of 12144410222432 in words is "twelve trillion, one hundred forty-four billion, four hundred ten million, two hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 167 334 668 1336 1907 2672 3814 5344 7628 15256 30512 61024 318469 636938 1191679 1273876 2383358 2547752 4766716 5095504 9533432 10191008 19066864 38133728 199010393 398020786 796041572 1592083144 2272531853 3184166288 4545063706 6368332576 9090127412 18180254824 36360509648 72721019296 379512819451 759025638902 1518051277804 3036102555608 6072205111216 12144410222432