Search a number
-
+
34243377334243 = 711171012113122579
BaseRepresentation
bin1111100100100111010000…
…10101111000011111100011
311111020122010211210001000121
413302103220111320133203
513442020414044143433
6200455105042101111
710133000545533550
oct762235025703743
9144218124701017
1034243377334243
11aa02597867090
123a1071994a797
1316151a122761c
14865561725a27
153e5b3746bc2d
hex1f24e85787e3

34243377334243 has 64 divisors (see below), whose sum is σ = 45673943454720. Its totient is φ = 24852934656000.

The previous prime is 34243377334219. The next prime is 34243377334247.

34243377334243 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-34243377334243 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (34243377334247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 279296328 + ... + 279418906.

It is an arithmetic number, because the mean of its divisors is an integer number (713655366480).

Almost surely, 234243377334243 is an apocalyptic number.

34243377334243 is a deficient number, since it is larger than the sum of its proper divisors (11430566120477).

34243377334243 is a wasteful number, since it uses less digits than its factorization.

34243377334243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124828.

The product of its digits is 36578304, while the sum is 52.

The spelling of 34243377334243 in words is "thirty-four trillion, two hundred forty-three billion, three hundred seventy-seven million, three hundred thirty-four thousand, two hundred forty-three".

Divisors: 1 7 11 17 77 101 119 187 707 1111 1309 1717 2113 7777 12019 14791 18887 23243 35921 122579 132209 162701 213413 251447 395131 858053 1348369 1493891 2083843 2347543 2765917 3628021 9438583 12380479 14586901 16432801 22922273 25396147 39908231 86663353 136185269 160455911 210468143 259009427 279357617 953296883 1473277001 1813065989 2315149573 2849103697 4403160259 16206047011 19943725879 26159952127 30822121813 48434762849 183119664889 287759473397 339043339943 444719186159 2014316313779 3113034303113 4891911047749 34243377334243