Search a number
-
+
114377887204 = 2276172292
BaseRepresentation
bin110101010000101110…
…1000000110111100100
3101221020012011200121121
41222201131000313210
53333221214342304
6124313335023324
711156251000000
oct1524135006744
9357205150547
10114377887204
1144564376609
121a200b0ab44
13aa2a4b9bc9
1457707c3700
152e96614554
hex1aa1740de4

114377887204 has 189 divisors, whose sum is σ = 256914770203. Its totient is φ = 44544734976.

The previous prime is 114377887189. The next prime is 114377887231. The reversal of 114377887204 is 402788773411.

The square root of 114377887204 is 338198.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 11306068900 + 103071818304 = 106330^2 + 321048^2 .

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 62 ways as a sum of consecutive naturals, for example, 3944065062 + ... + 3944065090.

Almost surely, 2114377887204 is an apocalyptic number.

114377887204 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

114377887204 is the 338198-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114377887204

114377887204 is an abundant number, since it is smaller than the sum of its proper divisors (142536882999).

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

114377887204 is an frugal number, since it uses more digits than its factorization.

114377887204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 52.

The spelling of 114377887204 in words is "one hundred fourteen billion, three hundred seventy-seven million, eight hundred eighty-seven thousand, two hundred four".