Search a number
-
+
34142201203033 = 7111753814847177
BaseRepresentation
bin1111100001101010110011…
…10001100100100101011001
311110212221222201001001001201
413300311121301210211121
513433341212001444113
6200340413302314201
710122456400601230
oct760653161444531
9143787881031051
1034142201203033
11a973698548220
1239b4ba2128961
131608798b5ca71
148606c43c9b17
153e31b4d5dcdd
hex1f0d59c64959

34142201203033 has 32 divisors (see below), whose sum is σ = 45079220729088. Its totient is φ = 25034694604800.

The previous prime is 34142201203003. The next prime is 34142201203043. The reversal of 34142201203033 is 33030210224143.

It is a happy number.

It is not a de Polignac number, because 34142201203033 - 229 = 34141664332121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34142201202992 and 34142201203010.

It is not an unprimeable number, because it can be changed into a prime (34142201203003) 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 31 ways as a sum of consecutive naturals, for example, 4620141 + ... + 9467317.

It is an arithmetic number, because the mean of its divisors is an integer number (1408725647784).

Almost surely, 234142201203033 is an apocalyptic number.

It is an amenable number.

34142201203033 is a deficient number, since it is larger than the sum of its proper divisors (10937019526055).

34142201203033 is a wasteful number, since it uses less digits than its factorization.

34142201203033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852593.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 34142201203033 its reverse (33030210224143), we get a palindrome (67172411427176).

The spelling of 34142201203033 in words is "thirty-four trillion, one hundred forty-two billion, two hundred one million, two hundred three thousand, thirty-three".

Divisors: 1 7 11 17 77 119 187 1309 5381 37667 59191 91477 414337 640339 1006247 4847177 7043729 33930239 53318947 82402009 373232629 576814063 906422099 6344954693 26082659437 182578616059 286909253807 443405210429 2008364776649 3103836473003 4877457314719 34142201203033