Search a number
-
+
1424202024240 = 24355597117489
BaseRepresentation
bin10100101110011001000…
…011100100010100110000
312001011010002101000100000
4110232121003210110300
5141313231204233430
63010134104030000
7204616024315332
oct24563103442460
95034102330300
101424202024240
114aa000a06316
121b002a462300
13a43bca18988
144cd089d3452
15270a7c59e60
hex14b990e4530

1424202024240 has 480 divisors, whose sum is σ = 5115497587200. Its totient is φ = 368070635520.

The previous prime is 1424202024229. The next prime is 1424202024269. The reversal of 1424202024240 is 424202024241.

1424202024240 is a `hidden beast` number, since 14 + 2 + 4 + 20 + 202 + 424 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81425416 + ... + 81442904.

It is an arithmetic number, because the mean of its divisors is an integer number (10657286640).

Almost surely, 21424202024240 is an apocalyptic number.

1424202024240 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 1424202024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557748793600).

1424202024240 is an abundant number, since it is smaller than the sum of its proper divisors (3691295562960).

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

1424202024240 is a wasteful number, since it uses less digits than its factorization.

1424202024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17647 (or 17629 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 1424202024240 its reverse (424202024241), we get a palindrome (1848404048481).

Subtracting from 1424202024240 its reverse (424202024241), we obtain a palindrome (999999999999).

The spelling of 1424202024240 in words is "one trillion, four hundred twenty-four billion, two hundred two million, twenty-four thousand, two hundred forty".