Search a number
-
+
242303014400 = 295218929923
BaseRepresentation
bin1110000110101001100…
…0101001011000000000
3212011102111212110211112
43201222120221120000
512432214032430100
6303151254302452
723335331432336
oct3415230513000
9764374773745
10242303014400
119383a80a027
123ab62957a28
1319b06560945
14ba284a3b56
156482225b35
hex386a629600

242303014400 has 60 divisors (see below), whose sum is σ = 600324679812. Its totient is φ = 96921200640.

The previous prime is 242303014391. The next prime is 242303014409. The reversal of 242303014400 is 4410303242.

It is an interprime number because it is at equal distance from previous prime (242303014391) and next prime (242303014409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242303014409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9452162 + ... + 9477761.

Almost surely, 2242303014400 is an apocalyptic number.

242303014400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242303014400 is an abundant number, since it is smaller than the sum of its proper divisors (358021665412).

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

242303014400 is an equidigital number, since it uses as much as digits as its factorization.

242303014400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18929951 (or 18929930 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 242303014400 its reverse (4410303242), we get a palindrome (246713317642).

The spelling of 242303014400 in words is "two hundred forty-two billion, three hundred three million, fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 800 1280 1600 2560 3200 6400 12800 18929923 37859846 75719692 94649615 151439384 189299230 302878768 378598460 473248075 605757536 757196920 946496150 1211515072 1514393840 1892992300 2423030144 3028787680 3785984600 4846060288 6057575360 7571969200 9692120576 12115150720 15143938400 24230301440 30287876800 48460602880 60575753600 121151507200 242303014400