Search a number
-
+
1714445327376 = 24342695938293
BaseRepresentation
bin11000111100101100111…
…001111001110000010000
320001220021122100111010000
4120330230321321300100
5211042141000434001
63351334425210000
7234602360556435
oct30745471716020
96056248314100
101714445327376
11601101767881
12238330330900
13c5896396572
145cda0027b8c
152e8e3abaa86
hex18f2ce79c10

1714445327376 has 200 divisors, whose sum is σ = 4989549141720. Its totient is φ = 568328638464.

The previous prime is 1714445327303. The next prime is 1714445327417. The reversal of 1714445327376 is 6737235444171.

It is a happy number.

1714445327376 is a `hidden beast` number, since 1 + 71 + 4 + 4 + 4 + 532 + 7 + 37 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2482430976 + 1711962896400 = 49824^2 + 1308420^2 .

It is a super-2 number, since 2×17144453273762 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 206729886 + ... + 206738178.

Almost surely, 21714445327376 is an apocalyptic number.

1714445327376 is a gapful number since it is divisible by the number (16) 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 1714445327376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494774570860).

1714445327376 is an abundant number, since it is smaller than the sum of its proper divisors (3275103814344).

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

1714445327376 is a wasteful number, since it uses less digits than its factorization.

1714445327376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9175 (or 9160 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 1714445327376 in words is "one trillion, seven hundred fourteen billion, four hundred forty-five million, three hundred twenty-seven thousand, three hundred seventy-six".