Search a number
-
+
42483997850112 = 2933721319318191
BaseRepresentation
bin10011010100011100100111…
…00110011011101000000000
312120102102121212010010122000
421222032103212123220000
521032024211422200422
6230204513522544000
711643240033305100
oct1152162346335000
9176372555103560
1042483997850112
111259a3a925a295
124921824b08000
131a922ba91cc50
14a6c344c1b200
154da18da5ecac
hex26a39399ba00

42483997850112 has 1920 divisors, whose sum is σ = 171201842380800. Its totient is φ = 10271187763200.

The previous prime is 42483997850101. The next prime is 42483997850137. The reversal of 42483997850112 is 21105879938424.

42483997850112 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 39 + 97 + 8 + 501 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 42483997850112.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5186663937 + ... + 5186672127.

It is an arithmetic number, because the mean of its divisors is an integer number (89167626240).

Almost surely, 242483997850112 is an apocalyptic number.

42483997850112 is a gapful number since it is divisible by the number (42) 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 42483997850112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85600921190400).

42483997850112 is an abundant number, since it is smaller than the sum of its proper divisors (128717844530688).

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

42483997850112 is a wasteful number, since it uses less digits than its factorization.

42483997850112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8295 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 42483997850112 in words is "forty-two trillion, four hundred eighty-three billion, nine hundred ninety-seven million, eight hundred fifty thousand, one hundred twelve".