Search a number
-
+
114388194672 = 24324753347919
BaseRepresentation
bin110101010001000010…
…0010101010101110000
3101221020220120100210200
41222202010111111300
53333231334212142
6124314343555200
711156434416633
oct1524204252560
9357226510720
10114388194672
114456a176784
121a20445bb00
13aa2c6886bb
145771d07c1a
152e9749d64c
hex1aa2115570

114388194672 has 240 divisors, whose sum is σ = 334431452160. Its totient is φ = 36468776448.

The previous prime is 114388194671. The next prime is 114388194677. The reversal of 114388194672 is 276491883411.

114388194672 is a `hidden beast` number, since 1 + 1 + 4 + 388 + 194 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114388194671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124469829 + ... + 124470747.

It is an arithmetic number, because the mean of its divisors is an integer number (1393464384).

Almost surely, 2114388194672 is an apocalyptic number.

114388194672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114388194672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215726080).

114388194672 is an abundant number, since it is smaller than the sum of its proper divisors (220043257488).

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

114388194672 is a wasteful number, since it uses less digits than its factorization.

114388194672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1371 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 114388194672 in words is "one hundred fourteen billion, three hundred eighty-eight million, one hundred ninety-four thousand, six hundred seventy-two".