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42222061440 = 27325131959503
BaseRepresentation
bin100111010100101000…
…011000011110000000
311000222112020221202100
4213110220120132000
51142432321431230
631221353150400
73023205413016
oct472450303600
9130875227670
1042222061440
11169a7286759
1282240bb400
133c9b539710
14208774c8b6
151171b10660
hex9d4a18780

42222061440 has 768 divisors, whose sum is σ = 168412608000. Its totient is φ = 9659990016.

The previous prime is 42222061439. The next prime is 42222061471. The reversal of 42222061440 is 4416022224.

42222061440 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 2 + 0 + 614 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83940229 + ... + 83940731.

It is an arithmetic number, because the mean of its divisors is an integer number (219287250).

Almost surely, 242222061440 is an apocalyptic number.

42222061440 is a gapful number since it is divisible by the number (40) 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 42222061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304000).

42222061440 is an abundant number, since it is smaller than the sum of its proper divisors (126190546560).

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

42222061440 is a wasteful number, since it uses less digits than its factorization.

42222061440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 42222061440 its reverse (4416022224), we get a palindrome (46638083664).

The spelling of 42222061440 in words is "forty-two billion, two hundred twenty-two million, sixty-one thousand, four hundred forty".