Search a number
-
+
114041412321 = 3372416596469
BaseRepresentation
bin110101000110101100…
…1011101101011100001
3101220100202000222211220
41222031121131223201
53332024100143241
6124220115125253
711145024003444
oct1521531355341
9356322028756
10114041412321
1144401449aa1
121a1282a3829
13a9a588ac45
14573bc3765b
152e76ced166
hex1a8d65dae1

114041412321 has 32 divisors (see below), whose sum is σ = 157075036800. Its totient is φ = 73542712320.

The previous prime is 114041412313. The next prime is 114041412349. The reversal of 114041412321 is 123214140411.

It is a happy number.

It is not a de Polignac number, because 114041412321 - 23 = 114041412313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114041412291 and 114041412300.

It is not an unprimeable number, because it can be changed into a prime (114041412361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17625675 + ... + 17632143.

It is an arithmetic number, because the mean of its divisors is an integer number (4908594900).

Almost surely, 2114041412321 is an apocalyptic number.

It is an amenable number.

114041412321 is a deficient number, since it is larger than the sum of its proper divisors (43033624479).

114041412321 is a wasteful number, since it uses less digits than its factorization.

114041412321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 114041412321 its reverse (123214140411), we get a palindrome (237255552732).

The spelling of 114041412321 in words is "one hundred fourteen billion, forty-one million, four hundred twelve thousand, three hundred twenty-one".

Divisors: 1 3 37 111 241 659 723 1977 6469 8917 19407 24383 26751 73149 158819 239353 476457 718059 1559029 4263071 4677087 5876303 12789213 17628909 57684073 157733627 173052219 473200881 1027400111 3082200333 38013804107 114041412321