Search a number
-
+
94244981040 = 243257219592383
BaseRepresentation
bin101011111000101110…
…0000100100100110000
3100000021002120002101100
41113301130010210300
53021003203343130
6111143501004400
76544323056400
oct1276134044460
9300232502340
1094244981040
1136a72920191
1216322553700
138b6c419a92
1447c09c2800
1526b8d93c60
hex15f1704930

94244981040 has 720 divisors, whose sum is σ = 394292620800. Its totient is φ = 20053619712.

The previous prime is 94244981027. The next prime is 94244981041. The reversal of 94244981040 is 4018944249.

94244981040 is a `hidden beast` number, since 94 + 2 + 449 + 81 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (94244981041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39547689 + ... + 39550071.

It is an arithmetic number, because the mean of its divisors is an integer number (547628640).

Almost surely, 294244981040 is an apocalyptic number.

94244981040 is a gapful number since it is divisible by the number (90) 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 94244981040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197146310400).

94244981040 is an abundant number, since it is smaller than the sum of its proper divisors (300047639760).

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

94244981040 is a wasteful number, since it uses less digits than its factorization.

94244981040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 94244981040 in words is "ninety-four billion, two hundred forty-four million, nine hundred eighty-one thousand, forty".