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242453600000 = 2855378191
BaseRepresentation
bin1110000111001101011…
…1000101011100000000
3212011211000020000102222
43201303113011130000
512433021110200000
6303214234030212
723342140411403
oct3416327053400
9764730200388
10242453600000
1193907811237
123aba5278368
1319b2b806251
14ba404a1d3a
15649056da85
hex38735c5700

242453600000 has 216 divisors, whose sum is σ = 621336231936. Its totient is φ = 94348800000.

The previous prime is 242453599937. The next prime is 242453600003. The reversal of 242453600000 is 6354242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242453600003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29595905 + ... + 29604095.

Almost surely, 2242453600000 is an apocalyptic number.

242453600000 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 242453600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310668115968).

242453600000 is an abundant number, since it is smaller than the sum of its proper divisors (378882631936).

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

242453600000 is an frugal number, since it uses more digits than its factorization.

242453600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8269 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 242453600000 its reverse (6354242), we get a palindrome (242459954242).

The spelling of 242453600000 in words is "two hundred forty-two billion, four hundred fifty-three million, six hundred thousand".