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442320514542340 = 225741383457440261
BaseRepresentation
bin110010010010010011100010…
…1001001010110101100000100
32011000010102120011200201210221
41210210213011021112230010
5430433434403210323330
64204423123355154124
7162111413456116120
oct14444470511265404
92130112504621727
10442320514542340
11118a34093207075
1241738819445944
1315ca685135a415
147b325da09a580
153620b894deb7a
hex19249c5256b04

442320514542340 has 192 divisors, whose sum is σ = 1092688751443968. Its totient is φ = 147244358246400.

The previous prime is 442320514542331. The next prime is 442320514542367. The reversal of 442320514542340 is 43245415023244.

It is a super-2 number, since 2×4423205145423402 (a number of 30 digits) contains 22 as substring.

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, 1004457810 + ... + 1004898070.

It is an arithmetic number, because the mean of its divisors is an integer number (5691087247104).

Almost surely, 2442320514542340 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 442320514542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546344375721984).

442320514542340 is an abundant number, since it is smaller than the sum of its proper divisors (650368236901628).

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

442320514542340 is a wasteful number, since it uses less digits than its factorization.

442320514542340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441158 (or 441156 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 43.

Adding to 442320514542340 its reverse (43245415023244), we get a palindrome (485565929565584).

The spelling of 442320514542340 in words is "four hundred forty-two trillion, three hundred twenty billion, five hundred fourteen million, five hundred forty-two thousand, three hundred forty".