Search a number
-
+
114344341001 = 11231297348461
BaseRepresentation
bin110101001111101110…
…1000010111000001001
3101221010212001100212122
41222133131002320021
53333134122403001
6124310140021025
711155362601442
oct1523735027011
9357125040778
10114344341001
1144547443880
121a1b1831775
13aa23572a97
14576a1702c9
152e936d9b1b
hex1a9f742e09

114344341001 has 16 divisors (see below), whose sum is σ = 130263458688. Its totient is φ = 99352915200.

The previous prime is 114344340991. The next prime is 114344341043. The reversal of 114344341001 is 100143443411.

It is a happy number.

It is not a de Polignac number, because 114344341001 - 214 = 114344324617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114344341201) 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 15 ways as a sum of consecutive naturals, for example, 153911 + ... + 502371.

It is an arithmetic number, because the mean of its divisors is an integer number (8141466168).

Almost surely, 2114344341001 is an apocalyptic number.

114344341001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114344341001 is a deficient number, since it is larger than the sum of its proper divisors (15919117687).

114344341001 is a wasteful number, since it uses less digits than its factorization.

114344341001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349792.

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 114344341001 its reverse (100143443411), we get a palindrome (214487784412).

The spelling of 114344341001 in words is "one hundred fourteen billion, three hundred forty-four million, three hundred forty-one thousand, one".

Divisors: 1 11 23 253 1297 14267 29831 328141 348461 3833071 8014603 88160633 451953917 4971493087 10394940091 114344341001