Search a number
-
+
114325350435 = 32522741926711
BaseRepresentation
bin110101001111001010…
…0100110100000100011
3101221002112022112201100
41222132110212200203
53333114242203220
6124304221005443
711155042305402
oct1523624464043
9357075275640
10114325350435
114453775299a
121a1a73b3883
13aa1c653c6a
145767829639
152e91bd7d90
hex1a9e526823

114325350435 has 48 divisors (see below), whose sum is σ = 199519407360. Its totient is φ = 60557766720.

The previous prime is 114325350401. The next prime is 114325350449. The reversal of 114325350435 is 534053523411.

114325350435 is a `hidden beast` number, since 1 + 143 + 2 + 5 + 3 + 504 + 3 + 5 = 666.

It is not a de Polignac number, because 114325350435 - 28 = 114325350179 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114325350435.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4266730 + ... + 4293440.

It is an arithmetic number, because the mean of its divisors is an integer number (4156654320).

Almost surely, 2114325350435 is an apocalyptic number.

114325350435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

114325350435 is a deficient number, since it is larger than the sum of its proper divisors (85194056925).

114325350435 is a wasteful number, since it uses less digits than its factorization.

114325350435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27368 (or 27365 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 114325350435 its reverse (534053523411), we get a palindrome (648378873846).

The spelling of 114325350435 in words is "one hundred fourteen billion, three hundred twenty-five million, three hundred fifty thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 227 419 681 1135 1257 2043 2095 3405 3771 6285 10215 18855 26711 80133 95113 133555 240399 285339 400665 475565 856017 1201995 1426695 4280085 6063397 11191909 18190191 30316985 33575727 54570573 55959545 90950955 100727181 167878635 272852865 503635905 2540563343 7621690029 12702816715 22865070087 38108450145 114325350435