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42339946320 = 24335731103877
BaseRepresentation
bin100111011011101010…
…000100111101010000
311001021202002010102000
4213123222010331100
51143203011240240
631241203554000
73026136414510
oct473352047520
9131252063360
1042339946320
1116a57883381
12825768b900
133cb9aa2999
142099277840
15117c149430
hex9dba84f50

42339946320 has 640 divisors, whose sum is σ = 173916487680. Its totient is φ = 9264015360.

The previous prime is 42339946279. The next prime is 42339946357. The reversal of 42339946320 is 2364993324.

42339946320 is a `hidden beast` number, since 4 + 2 + 3 + 3 + 9 + 9 + 4 + 632 + 0 = 666.

42339946320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48277722 + ... + 48278598.

It is an arithmetic number, because the mean of its divisors is an integer number (271744512).

Almost surely, 242339946320 is an apocalyptic number.

42339946320 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 42339946320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86958243840).

42339946320 is an abundant number, since it is smaller than the sum of its proper divisors (131576541360).

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

42339946320 is a wasteful number, since it uses less digits than its factorization.

42339946320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1040 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 45.

The spelling of 42339946320 in words is "forty-two billion, three hundred thirty-nine million, nine hundred forty-six thousand, three hundred twenty".