Search a number
-
+
1409427574848 = 2632239710091087
BaseRepresentation
bin10100100000101000011…
…011100001000001000000
311222201222102122012220200
4110200220123201001000
5141043001424343343
62555252044205200
7203553633501006
oct24405033410100
94881872565820
101409427574848
114a380a138867
121a91a6539800
13a2ba6b31927
144c306722a76
15269e0b4a4d3
hex148286e1040

1409427574848 has 336 divisors, whose sum is σ = 4267118069760. Its totient is φ = 443900362752.

The previous prime is 1409427574831. The next prime is 1409427574873. The reversal of 1409427574848 is 8484757249041.

1409427574848 is a `hidden beast` number, since 1 + 40 + 9 + 42 + 75 + 7 + 484 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1296620961 + ... + 1296622047.

It is an arithmetic number, because the mean of its divisors is an integer number (12699756160).

Almost surely, 21409427574848 is an apocalyptic number.

1409427574848 is a gapful number since it is divisible by the number (18) 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 1409427574848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133559034880).

1409427574848 is an abundant number, since it is smaller than the sum of its proper divisors (2857690494912).

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

1409427574848 is a wasteful number, since it uses less digits than its factorization.

1409427574848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2234 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 1409427574848 in words is "one trillion, four hundred nine billion, four hundred twenty-seven million, five hundred seventy-four thousand, eight hundred forty-eight".