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42254099712 = 2838112287
BaseRepresentation
bin100111010110100010…
…100110010100000000
311001001202112200000000
4213112202212110000
51143014022142322
631224500000000
73024044631036
oct472642462400
9131052480000
1042254099712
1116a13379570
128232990000
133ca5076386
14208bacc556
15117483d3ac
hex9d68a6500

42254099712 has 324 divisors, whose sum is σ = 138069387456. Its totient is φ = 12798673920.

The previous prime is 42254099711. The next prime is 42254099747. The reversal of 42254099712 is 21799045224.

42254099712 is a `hidden beast` number, since 4 + 2 + 2 + 540 + 9 + 97 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42254099711) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18474633 + ... + 18476919.

Almost surely, 242254099712 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 42254099712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69034693728).

42254099712 is an abundant number, since it is smaller than the sum of its proper divisors (95815287744).

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

42254099712 is an frugal number, since it uses more digits than its factorization.

42254099712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 42254099712 in words is "forty-two billion, two hundred fifty-four million, ninety-nine thousand, seven hundred twelve".