Search a number
-
+
340413100444231 = 19292531056738039
BaseRepresentation
bin100110101100110101001100…
…1111011011100101001000111
31122122022011201021020111012121
41031121222121323130221013
5324104312012203203411
63203555341444430411
7131463014653424563
oct11531523173345107
91578264637214177
10340413100444231
1199514426716601
123221a40a6a8407
13117c3a8244a359
14600c120d086a3
152954dd5117571
hex1359a99edca47

340413100444231 has 48 divisors (see below), whose sum is σ = 378159681369600. Its totient is φ = 305464087184256.

The previous prime is 340413100444229. The next prime is 340413100444253. The reversal of 340413100444231 is 132444001314043.

It is not a de Polignac number, because 340413100444231 - 21 = 340413100444229 is a prime.

It is a super-2 number, since 2×3404131004442312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340413100444201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8949035910 + ... + 8949073948.

It is an arithmetic number, because the mean of its divisors is an integer number (7878326695200).

Almost surely, 2340413100444231 is an apocalyptic number.

340413100444231 is a deficient number, since it is larger than the sum of its proper divisors (37746580925369).

340413100444231 is a wasteful number, since it uses less digits than its factorization.

340413100444231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48736 (or 48707 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 340413100444231 its reverse (132444001314043), we get a palindrome (472857101758274).

The spelling of 340413100444231 in words is "three hundred forty trillion, four hundred thirteen billion, one hundred million, four hundred forty-four thousand, two hundred thirty-one".

Divisors: 1 19 29 53 551 841 1007 1537 10567 15979 29203 38039 44573 200773 306443 560051 722741 846887 1103131 2016067 5822417 8886847 10640969 16241479 20959489 31990799 38305273 58465943 168850093 308588101 401958113 471002891 607825181 1110852917 1695512347 7637204147 8949054929 11656785277 21303779989 32214734593 221478920263 338046773033 404771819791 617809619681 6422888687627 11738382773939 17916478970749 340413100444231