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1416450000 = 2435571971
BaseRepresentation
bin101010001101101…
…0100111111010000
310122201022010010010
41110123110333100
510400102400000
6352315234520
750046424560
oct12433247720
93581263103
101416450000
11667604939
12336448a40
131975bb0c4
14d6194da0
1584543d50
hex546d4fd0

1416450000 has 480 divisors, whose sum is σ = 5579642880. Its totient is φ = 302400000.

The previous prime is 1416449953. The next prime is 1416450023. The reversal of 1416450000 is 546141.

It is a super-3 number, since 3×14164500003 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19949965 + ... + 19950035.

It is an arithmetic number, because the mean of its divisors is an integer number (11624256).

Almost surely, 21416450000 is an apocalyptic number.

1416450000 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 1416450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789821440).

1416450000 is an abundant number, since it is smaller than the sum of its proper divisors (4163192880).

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

1416450000 is an equidigital number, since it uses as much as digits as its factorization.

1416450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1416450000 is about 37635.7542770170. The cubic root of 1416450000 is about 1123.0534239253.

Adding to 1416450000 its reverse (546141), we get a palindrome (1416996141).

The spelling of 1416450000 in words is "one billion, four hundred sixteen million, four hundred fifty thousand".