Search a number
-
+
240324230000 = 245482329201
BaseRepresentation
bin1101111111010001110…
…0001011101101110000
3211222022121102210221102
43133310130023231300
512414141000330000
6302223050143532
723235313151531
oct3376434135560
9758277383842
10240324230000
1192a14843018
123a6b0121ba8
131987c6040ba
14b8bb76c688
1563b86543d5
hex37f470bb70

240324230000 has 100 divisors (see below), whose sum is σ = 582575928528. Its totient is φ = 96009600000.

The previous prime is 240324229991. The next prime is 240324230059. The reversal of 240324230000 is 32423042.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8215400 + ... + 8244600.

Almost surely, 2240324230000 is an apocalyptic number.

240324230000 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 240324230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291287964264).

240324230000 is an abundant number, since it is smaller than the sum of its proper divisors (342251698528).

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

240324230000 is an equidigital number, since it uses as much as digits as its factorization.

240324230000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30052 (or 30031 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 240324230000 its reverse (32423042), we get a palindrome (240356653042).

The spelling of 240324230000 in words is "two hundred forty billion, three hundred twenty-four million, two hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 823 1000 1250 1646 2000 2500 3292 4115 5000 6584 8230 10000 13168 16460 20575 29201 32920 41150 58402 65840 82300 102875 116804 146005 164600 205750 233608 292010 329200 411500 467216 514375 584020 730025 823000 1028750 1168040 1460050 1646000 2057500 2336080 2920100 3650125 4115000 5840200 7300250 8230000 11680400 14600500 18250625 24032423 29201000 36501250 48064846 58402000 73002500 96129692 120162115 146005000 192259384 240324230 292010000 384518768 480648460 600810575 961296920 1201621150 1922593840 2403242300 3004052875 4806484600 6008105750 9612969200 12016211500 15020264375 24032423000 30040528750 48064846000 60081057500 120162115000 240324230000