Search a number
-
+
14455144242 = 23271121078861
BaseRepresentation
bin11010111011001011…
…11111111100110010
31101022101220102002200
431131211333330302
5214101004103432
610350211524030
71021132461450
oct153545777462
941271812080
1014455144242
116148608900
122974bb9616
1314949ba1b6
149b1b139d0
1559908aa7c
hex35d97ff32

14455144242 has 144 divisors (see below), whose sum is σ = 39715655616. Its totient is φ = 3719073600.

The previous prime is 14455144229. The next prime is 14455144243. The reversal of 14455144242 is 24244155441.

14455144242 is a `hidden beast` number, since 1 + 44 + 551 + 44 + 24 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14455144197 and 14455144206.

It is not an unprimeable number, because it can be changed into a prime (14455144243) 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 71 ways as a sum of consecutive naturals, for example, 1626892 + ... + 1635752.

It is an arithmetic number, because the mean of its divisors is an integer number (275803164).

Almost surely, 214455144242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14455144242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19857827808).

14455144242 is an abundant number, since it is smaller than the sum of its proper divisors (25260511374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14455144242 is a wasteful number, since it uses less digits than its factorization.

14455144242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9005 (or 8991 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

Adding to 14455144242 its reverse (24244155441), we get a palindrome (38699299683).

The spelling of 14455144242 in words is "fourteen billion, four hundred fifty-five million, one hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 107 121 126 154 198 214 231 242 321 363 462 642 693 726 749 847 963 1089 1177 1386 1498 1694 1926 2178 2247 2354 2541 3531 4494 5082 6741 7062 7623 8239 8861 10593 12947 13482 15246 16478 17722 21186 24717 25894 26583 38841 49434 53166 62027 74151 77682 79749 90629 97471 116523 124054 148302 159498 181258 186081 194942 233046 271887 292413 372162 543774 558243 584826 682297 815661 877239 948127 1072181 1116486 1364594 1631322 1754478 1896254 2046891 2144362 2844381 3216543 4093782 5688762 6140673 6433086 6636889 7505267 8533143 9649629 10429397 12281346 13273778 15010534 17066286 19299258 19910667 20858794 22515801 31288191 39821334 45031602 59732001 62576382 67547403 73005779 93864573 114723367 119464002 135094806 146011558 187729146 219017337 229446734 344170101 438034674 657052011 688340202 803063569 1032510303 1314104022 1606127138 2065020606 2409190707 4818381414 7227572121 14455144242