Search a number
-
+
114281367024 = 243112353277641
BaseRepresentation
bin110101001101110110…
…0110100010111110000
3101220222110112221211010
41222123230310113300
53333022012221044
6124300010150520
711153666410026
oct1523354642760
9356873487733
10114281367024
1144514941570
121a194722440
13aa134c4286
145761a5a716
152e8cdeabb9
hex1a9bb345f0

114281367024 has 320 divisors, whose sum is σ = 344181685248. Its totient is φ = 32332185600.

The previous prime is 114281367023. The next prime is 114281367061. The reversal of 114281367024 is 420763182411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114281367023) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 178285744 + ... + 178286384.

Almost surely, 2114281367024 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 114281367024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172090842624).

114281367024 is an abundant number, since it is smaller than the sum of its proper divisors (229900318224).

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

114281367024 is a wasteful number, since it uses less digits than its factorization.

114281367024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 114281367024 in words is "one hundred fourteen billion, two hundred eighty-one million, three hundred sixty-seven thousand, twenty-four".