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242010316240 = 245711414332213
BaseRepresentation
bin1110000101100011110…
…0000101110111010000
3212010200010002212102221
43201120330011313100
512431114120104430
6303102240550424
723325145514050
oct3413074056720
9763603085387
10242010316240
11936aa572620
123aaa0922414
1319a8aa1b574
14b9db671560
1564666aa57a
hex3858f05dd0

242010316240 has 320 divisors, whose sum is σ = 720610877952. Its totient is φ = 73388851200.

The previous prime is 242010316217. The next prime is 242010316243. The reversal of 242010316240 is 42613010242.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242010316243) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109357374 + ... + 109359586.

Almost surely, 2242010316240 is an apocalyptic number.

242010316240 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 242010316240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360305438976).

242010316240 is an abundant number, since it is smaller than the sum of its proper divisors (478600561712).

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

242010316240 is a wasteful number, since it uses less digits than its factorization.

242010316240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 242010316240 its reverse (42613010242), we get a palindrome (284623326482).

The spelling of 242010316240 in words is "two hundred forty-two billion, ten million, three hundred sixteen thousand, two hundred forty".