Search a number
-
+
114346675248 = 243132347283599
BaseRepresentation
bin110101001111110010…
…1111100110000110000
3101221011000102221212020
41222133211330300300
53333140222101443
6124310302031440
711155421463021
oct1523745746060
9357130387766
10114346675248
1144548798603
121a1b2578580
13aa23bac3b0
14576a5bac48
152e939eb583
hex1a9f97cc30

114346675248 has 320 divisors, whose sum is σ = 340778188800. Its totient is φ = 32766649344.

The previous prime is 114346675231. The next prime is 114346675277. The reversal of 114346675248 is 842576643411.

114346675248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 114346675248.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190895653 + ... + 190896251.

It is an arithmetic number, because the mean of its divisors is an integer number (1064931840).

Almost surely, 2114346675248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114346675248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170389094400).

114346675248 is an abundant number, since it is smaller than the sum of its proper divisors (226431513552).

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

114346675248 is a wasteful number, since it uses less digits than its factorization.

114346675248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 970 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 51.

The spelling of 114346675248 in words is "one hundred fourteen billion, three hundred forty-six million, six hundred seventy-five thousand, two hundred forty-eight".