Search a number
-
+
1424424313200 = 243527313541771
BaseRepresentation
bin10100101110100110010…
…011100010000101110000
312001011200120122110110110
4110232212103202011300
5141314210111010300
63010212124301320
7204624363614160
oct24564623420560
95034616573413
101424424313200
114aa1054322a9
121b00909a1840
13a4426aa81c5
144cd2a3385a0
15270bc518550
hex14ba64e2170

1424424313200 has 240 divisors, whose sum is σ = 5231419778816. Its totient is φ = 324541900800.

The previous prime is 1424424313187. The next prime is 1424424313229. The reversal of 1424424313200 is 23134244241.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 2358315 + ... + 2900085.

Almost surely, 21424424313200 is an apocalyptic number.

1424424313200 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 1424424313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615709889408).

1424424313200 is an abundant number, since it is smaller than the sum of its proper divisors (3806995465616).

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

1424424313200 is a wasteful number, since it uses less digits than its factorization.

1424424313200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542112 (or 542101 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1424424313200 its reverse (23134244241), we get a palindrome (1447558557441).

The spelling of 1424424313200 in words is "one trillion, four hundred twenty-four billion, four hundred twenty-four million, three hundred thirteen thousand, two hundred".