Search a number
-
+
244334320000 = 27543054179
BaseRepresentation
bin1110001110001101110…
…1011101100110000000
3212100200002010111021021
43203203131131212000
513000344041220000
6304125020235224
723436555311161
oct3434335354600
9770602114237
10244334320000
1194692398a91
123b42b09bb14
131a06b349314
14bb7c18b768
15655071e11a
hex38e375d980

244334320000 has 80 divisors (see below), whose sum is σ = 608255217900. Its totient is φ = 97733696000.

The previous prime is 244334319913. The next prime is 244334320001. The reversal of 244334320000 is 23433442.

244334320000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244334320001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1447090 + ... + 1607089.

Almost surely, 2244334320000 is an apocalyptic number.

244334320000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244334320000 is an abundant number, since it is smaller than the sum of its proper divisors (363920897900).

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

244334320000 is an frugal number, since it uses more digits than its factorization.

244334320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054213 (or 3054186 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 244334320000 its reverse (23433442), we get a palindrome (244357753442).

The spelling of 244334320000 in words is "two hundred forty-four billion, three hundred thirty-four million, three hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 40000 80000 3054179 6108358 12216716 15270895 24433432 30541790 48866864 61083580 76354475 97733728 122167160 152708950 195467456 244334320 305417900 381772375 390934912 488668640 610835800 763544750 977337280 1221671600 1527089500 1908861875 1954674560 2443343200 3054179000 3817723750 4886686400 6108358000 7635447500 9773372800 12216716000 15270895000 24433432000 30541790000 48866864000 61083580000 122167160000 244334320000