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242315440000 = 27543028943
BaseRepresentation
bin1110000110101100100…
…0000010111110000000
3212011110101020202112221
43201223020002332000
512432230223040000
6303152420500424
723335542153514
oct3415310027600
9764411222487
10242315440000
1193846826617
123ab66b4a714
1319b08cc157a
14ba29dba144
15648337c61a
hex386b202f80

242315440000 has 80 divisors (see below), whose sum is σ = 603229342320. Its totient is φ = 96926144000.

The previous prime is 242315439967. The next prime is 242315440049. The reversal of 242315440000 is 44513242.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1434472 + ... + 1594471.

It is an arithmetic number, because the mean of its divisors is an integer number (7540366779).

Almost surely, 2242315440000 is an apocalyptic number.

242315440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242315440000 is an abundant number, since it is smaller than the sum of its proper divisors (360913902320).

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

242315440000 is an frugal number, since it uses more digits than its factorization.

242315440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3028977 (or 3028950 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 242315440000 its reverse (44513242), we get a palindrome (242359953242).

The spelling of 242315440000 in words is "two hundred forty-two billion, three hundred fifteen million, four hundred forty 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 3028943 6057886 12115772 15144715 24231544 30289430 48463088 60578860 75723575 96926176 121157720 151447150 193852352 242315440 302894300 378617875 387704704 484630880 605788600 757235750 969261760 1211577200 1514471500 1893089375 1938523520 2423154400 3028943000 3786178750 4846308800 6057886000 7572357500 9692617600 12115772000 15144715000 24231544000 30289430000 48463088000 60578860000 121157720000 242315440000