Search a number
-
+
114533444241 = 32233737194021
BaseRepresentation
bin110101010101010111…
…0011010101010010001
3101221122000212210202100
41222222232122222101
53334031030203431
6124341013111013
711163150133026
oct1525256325221
9357560783670
10114533444241
1144634163947
121a245028469
13aa537b32a8
14578731754d
152ea50e04e6
hex1aaab9aa91

114533444241 has 48 divisors (see below), whose sum is σ = 177387575040. Its totient is φ = 71025102720.

The previous prime is 114533444237. The next prime is 114533444269. The reversal of 114533444241 is 142444335411.

It is a happy number.

114533444241 is a `hidden beast` number, since 1 + 1 + 4 + 533 + 44 + 42 + 41 = 666.

It is not a de Polignac number, because 114533444241 - 22 = 114533444237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114533444196 and 114533444205.

It is not an unprimeable number, because it can be changed into a prime (114533444141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28481811 + ... + 28485831.

It is an arithmetic number, because the mean of its divisors is an integer number (3695574480).

Almost surely, 2114533444241 is an apocalyptic number.

It is an amenable number.

114533444241 is a deficient number, since it is larger than the sum of its proper divisors (62854130799).

114533444241 is a wasteful number, since it uses less digits than its factorization.

114533444241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7806 (or 7803 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 114533444241 its reverse (142444335411), we get a palindrome (256977779652).

The spelling of 114533444241 in words is "one hundred fourteen billion, five hundred thirty-three million, four hundred forty-four thousand, two hundred forty-one".

Divisors: 1 3 9 23 37 69 111 207 333 851 2553 3719 4021 7659 11157 12063 33471 36189 85537 92483 137603 148777 256611 277449 412809 446331 769833 832347 1238427 1338993 3164869 3421871 9494607 10265613 14954099 28483821 30796839 44862297 134586891 343944277 553301663 1031832831 1659904989 3095498493 4979714967 12725938249 38177814747 114533444241