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1444214016 = 28337191571
BaseRepresentation
bin101011000010100…
…1111010100000000
310201122112200012000
41112011033110000
510424204322031
6355150304000
750534421330
oct12605172400
93648480160
101444214016
11681248403
123437b8000
131a028c40b
14d9b410c0
1586bca3e6
hex5614f500

1444214016 has 288 divisors, whose sum is σ = 5141068800. Its totient is φ = 390666240.

The previous prime is 1444213987. The next prime is 1444214017. The reversal of 1444214016 is 6104124441.

1444214016 is a `hidden beast` number, since 1 + 444 + 214 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444214017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 918511 + ... + 920081.

Almost surely, 21444214016 is an apocalyptic number.

1444214016 is a gapful number since it is divisible by the number (16) 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 1444214016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570534400).

1444214016 is an abundant number, since it is smaller than the sum of its proper divisors (3696854784).

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

1444214016 is a wasteful number, since it uses less digits than its factorization.

1444214016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1444214016 is about 38002.8158956675. The cubic root of 1444214016 is about 1130.3437010200.

Adding to 1444214016 its reverse (6104124441), we get a palindrome (7548338457).

The spelling of 1444214016 in words is "one billion, four hundred forty-four million, two hundred fourteen thousand, sixteen".