Search a number
-
+
1424120341040 = 2451931791912003
BaseRepresentation
bin10100101110010100001…
…011111110001000110000
312001010220101200002001022
4110232110023332020300
5141313044301403130
63010122025155012
7204614013112025
oct24562413761060
95033811602038
101424120341040
114a9a69895541
121b000702ba68
13a43a8b19417
144ccdbc0d54c
15270a09c27e5
hex14b942fe230

1424120341040 has 320 divisors, whose sum is σ = 3664222617600. Its totient is φ = 512691379200.

The previous prime is 1424120341027. The next prime is 1424120341067. The reversal of 1424120341040 is 401430214241.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710992679 + ... + 710994681.

It is an arithmetic number, because the mean of its divisors is an integer number (11450695680).

Almost surely, 21424120341040 is an apocalyptic number.

1424120341040 is a gapful number since it is divisible by the number (10) 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 1424120341040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832111308800).

1424120341040 is an abundant number, since it is smaller than the sum of its proper divisors (2240102276560).

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

1424120341040 is a wasteful number, since it uses less digits than its factorization.

1424120341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1424120341040 its reverse (401430214241), we get a palindrome (1825550555281).

The spelling of 1424120341040 in words is "one trillion, four hundred twenty-four billion, one hundred twenty million, three hundred forty-one thousand, forty".