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542366140416 = 2113294017591
BaseRepresentation
bin1111110010001111000…
…10101000100000000000
31220211221102120122012020
413321013202220200000
532341231212443131
61053054244401440
754120224061612
oct7710742504000
91824842518166
10542366140416
1119a01a601891
12891453a6280
133c1b6492309
141c371b58db2
15e195203996
hex7e478a8800

542366140416 has 192 divisors, whose sum is σ = 1499744937600. Its totient is φ = 174096384000.

The previous prime is 542366140411. The next prime is 542366140429. The reversal of 542366140416 is 614041663245.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×5423661404162 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542366140411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71444781 + ... + 71452371.

It is an arithmetic number, because the mean of its divisors is an integer number (7811171550).

Almost surely, 2542366140416 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 542366140416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749872468800).

542366140416 is an abundant number, since it is smaller than the sum of its proper divisors (957378797184).

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

542366140416 is a wasteful number, since it uses less digits than its factorization.

542366140416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 8026 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 542366140416 in words is "five hundred forty-two billion, three hundred sixty-six million, one hundred forty thousand, four hundred sixteen".