Search a number
-
+
1416224052320 = 2557211101162593
BaseRepresentation
bin10100100110111101100…
…010000001010001100000
312000101112002102001021112
4110212331202001101200
5141200411324133240
63002334312242452
7204214231552100
oct24467542012140
95011462361245
101416224052320
114a66876139a0
121aa5826a0428
13a371ac1912c
144c78d221200
1526c8c661665
hex149bd881460

1416224052320 has 288 divisors, whose sum is σ = 4287978396576. Its totient is φ = 437047296000.

The previous prime is 1416224052253. The next prime is 1416224052329. The reversal of 1416224052320 is 232504226141.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1416224052329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8628944 + ... + 8791536.

It is an arithmetic number, because the mean of its divisors is an integer number (14888813877).

Almost surely, 21416224052320 is an apocalyptic number.

1416224052320 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 1416224052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143989198288).

1416224052320 is an abundant number, since it is smaller than the sum of its proper divisors (2871754344256).

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

1416224052320 is a wasteful number, since it uses less digits than its factorization.

1416224052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162734 (or 162719 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 1416224052320 its reverse (232504226141), we get a palindrome (1648728278461).

The spelling of 1416224052320 in words is "one trillion, four hundred sixteen billion, two hundred twenty-four million, fifty-two thousand, three hundred twenty".