Search a number
-
+
243104300000 = 25557873089
BaseRepresentation
bin1110001001101000100…
…1010011101111100000
3212020111100122000000222
43202122021103233200
512440334200100000
6303403000502212
723364231312062
oct3423211235740
9766440560028
10243104300000
1194111048831
123b14717a968
1319c03573a33
14baa2a85732
1564cc753a85
hex389a253be0

243104300000 has 144 divisors (see below), whose sum is σ = 599180243760. Its totient is φ = 97086720000.

The previous prime is 243104299993. The next prime is 243104300003. The reversal of 243104300000 is 3401342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243104300003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78698456 + ... + 78701544.

It is an arithmetic number, because the mean of its divisors is an integer number (4160973915).

Almost surely, 2243104300000 is an apocalyptic number.

243104300000 is a gapful number since it is divisible by the number (20) 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 243104300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299590121880).

243104300000 is an abundant number, since it is smaller than the sum of its proper divisors (356075943760).

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

243104300000 is an frugal number, since it uses more digits than its factorization.

243104300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911 (or 3883 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 243104300000 its reverse (3401342), we get a palindrome (243107701342).

The spelling of 243104300000 in words is "two hundred forty-three billion, one hundred four million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 787 800 1000 1250 1574 2000 2500 3089 3125 3148 3935 4000 5000 6178 6250 6296 7870 10000 12356 12500 12592 15445 15740 19675 20000 24712 25000 25184 30890 31480 39350 49424 50000 61780 62960 77225 78700 98375 98848 100000 123560 125920 154450 157400 196750 247120 308900 314800 386125 393500 491875 494240 617800 629600 772250 787000 983750 1235600 1544500 1574000 1930625 1967500 2431043 2459375 2471200 3089000 3148000 3861250 3935000 4862086 4918750 6178000 7722500 7870000 9653125 9724172 9837500 12155215 12356000 15445000 15740000 19306250 19448344 19675000 24310430 30890000 38612500 38896688 39350000 48620860 60776075 61780000 77225000 77793376 78700000 97241720 121552150 154450000 194483440 243104300 303880375 308900000 388966880 486208600 607760750 972417200 1215521500 1519401875 1944834400 2431043000 3038803750 4862086000 6077607500 7597009375 9724172000 12155215000 15194018750 24310430000 30388037500 48620860000 60776075000 121552150000 243104300000