Search a number
-
+
41133311333114 = 27111320546109557
BaseRepresentation
bin10010101101001000110000…
…11010010001001011111010
312101122022021012010211111112
421112210120122101023322
520342412010200124424
6223252214331200322
711443532541323360
oct1126443032211372
9171568235124445
1041133311333114
11121195a29a4730
124743ab28a60a2
1319c4b15787720
14a22c11ab7630
154b4e89d8760e
hex2569186912fa

41133311333114 has 32 divisors (see below), whose sum is σ = 82841913737856. Its totient is φ = 14793198880320.

The previous prime is 41133311333113. The next prime is 41133311333123.

41133311333114 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (41133311333113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10273052777 + ... + 10273056780.

It is an arithmetic number, because the mean of its divisors is an integer number (2588809804308).

Almost surely, 241133311333114 is an apocalyptic number.

41133311333114 is an abundant number, since it is smaller than the sum of its proper divisors (41708602404742).

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

41133311333114 is a wasteful number, since it uses less digits than its factorization.

41133311333114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20546109590.

The product of its digits is 11664, while the sum is 32.

It can be divided in two parts, 4113331 and 1333114, that added together give a palindrome (5446445).

The spelling of 41133311333114 in words is "forty-one trillion, one hundred thirty-three billion, three hundred eleven million, three hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 20546109557 41092219114 143822766899 226007205127 267099424241 287645533798 452014410254 534198848482 1582050435889 1869695969687 2938093666651 3164100871778 3739391939374 5876187333302 20566655666557 41133311333114