Search a number
-
+
34315421005113 = 33726373912171307
BaseRepresentation
bin1111100110101101011100…
…11110101011010100111001
311111111112002200122201021220
413303112232132223110321
513444210440234130423
6200552141540022253
710141131056612403
oct763265636532471
9144445080581256
1034315421005113
11aa300a7613346
123a22685091989
13161bc12b99981
14868c37923b73
153e79521b99e3
hex1f35ae7ab539

34315421005113 has 64 divisors (see below), whose sum is σ = 47307964999680. Its totient is φ = 22108888092672.

The previous prime is 34315421005109. The next prime is 34315421005157. The reversal of 34315421005113 is 31150012451343.

It is not a de Polignac number, because 34315421005113 - 22 = 34315421005109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34315421005183) 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, 26255103406 + ... + 26255104712.

It is an arithmetic number, because the mean of its divisors is an integer number (739186953120).

Almost surely, 234315421005113 is an apocalyptic number.

It is an amenable number.

34315421005113 is a deficient number, since it is larger than the sum of its proper divisors (12992543994567).

34315421005113 is a wasteful number, since it uses less digits than its factorization.

34315421005113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 34315421005113 its reverse (31150012451343), we get a palindrome (65465433456456).

The spelling of 34315421005113 in words is "thirty-four trillion, three hundred fifteen billion, four hundred twenty-one million, five thousand, one hundred thirteen".

Divisors: 1 3 37 111 263 739 789 1217 1307 2217 3651 3921 9731 27343 29193 45029 48359 82029 135087 145077 194357 320071 343741 583071 899363 960213 965873 1031223 1590619 2698089 2897619 4771857 7191209 11842627 12718417 21573627 33276431 35527881 35737301 38155251 58852903 99829293 107211903 176558709 236532469 254024599 418332797 709597407 762073797 1175467441 1254998391 3526402323 8751701353 9398910163 15478313489 26255104059 28196730489 43492295317 46434940467 130476885951 309147936983 927443810949 11438473668371 34315421005113