Search a number
-
+
19231344000 = 273453111971
BaseRepresentation
bin10001111010010001…
…110000010110000000
31211122021011111110000
4101322101300112000
5303341211002000
612500150240000
71250366504211
oct217221602600
954567144400
1019231344000
118179657430
123888656000
131a7637a6bb
14d06199408
15778536000
hex47a470580

19231344000 has 1280 divisors, whose sum is σ = 83175206400. Its totient is φ = 4354560000.

The previous prime is 19231343983. The next prime is 19231344001. The reversal of 19231344000 is 44313291.

19231344000 is a `hidden beast` number, since 192 + 31 + 3 + 440 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19231344001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 270863965 + ... + 270864035.

It is an arithmetic number, because the mean of its divisors is an integer number (64980630).

Almost surely, 219231344000 is an apocalyptic number.

19231344000 is a gapful number since it is divisible by the number (10) 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 19231344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41587603200).

19231344000 is an abundant number, since it is smaller than the sum of its proper divisors (63943862400).

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

19231344000 is a wasteful number, since it uses less digits than its factorization.

19231344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 19231344000 its reverse (44313291), we get a palindrome (19275657291).

The spelling of 19231344000 in words is "nineteen billion, two hundred thirty-one million, three hundred forty-four thousand".