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242854481016 = 233371277871607
BaseRepresentation
bin1110001000101101000…
…0010100110001111000
3212012211221112212211000
43202023100110301320
512434331221343031
6303322114205000
723355106012620
oct3421320246170
9765757485730
10242854481016
1193aa3029064
123b097583760
1319b93895854
14ba7b815880
1564b58583e6
hex388b414c78

242854481016 has 256 divisors, whose sum is σ = 778508697600. Its totient is φ = 68710384512.

The previous prime is 242854481003. The next prime is 242854481057. The reversal of 242854481016 is 610184458242.

242854481016 is a `hidden beast` number, since 2 + 4 + 28 + 544 + 81 + 0 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151122085 + ... + 151123691.

It is an arithmetic number, because the mean of its divisors is an integer number (3041049600).

Almost surely, 2242854481016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242854481016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389254348800).

242854481016 is an abundant number, since it is smaller than the sum of its proper divisors (535654216584).

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

242854481016 is a wasteful number, since it uses less digits than its factorization.

242854481016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2543 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 242854481016 in words is "two hundred forty-two billion, eight hundred fifty-four million, four hundred eighty-one thousand, sixteen".