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1420314000 = 24353724831
BaseRepresentation
bin101010010101000…
…0100010110010000
310122222120102112020
41110222010112100
510402100022000
6352534131440
750124320100
oct12452042620
93588512466
101420314000
11669803a26
123377b0b80
13198341ab1
14d68bd200
1584a58ba0
hex54a84590

1420314000 has 240 divisors, whose sum is σ = 5327801856. Its totient is φ = 324576000.

The previous prime is 1420313987. The next prime is 1420314001. The reversal of 1420314000 is 4130241.

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 (15).

It is not an unprimeable number, because it can be changed into a prime (1420314001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 291585 + ... + 296415.

Almost surely, 21420314000 is an apocalyptic number.

1420314000 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 1420314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2663900928).

1420314000 is an abundant number, since it is smaller than the sum of its proper divisors (3907487856).

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

1420314000 is a wasteful number, since it uses less digits than its factorization.

1420314000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1420314000 is about 37687.0534799419. The cubic root of 1420314000 is about 1124.0737066613.

Adding to 1420314000 its reverse (4130241), we get a palindrome (1424444241).

It can be divided in two parts, 14203 and 14000, that added together give a triangular number (28203 = T237).

The spelling of 1420314000 in words is "one billion, four hundred twenty million, three hundred fourteen thousand".