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1414044720 = 2432511216231
BaseRepresentation
bin101010001001000…
…1001110000110000
310122112202220200200
41110102021300300
510343443412340
6352151515200
750020116234
oct12422116060
93575686620
101414044720
11666211800
12335688b00
13196c5836a
14d5b2a5c4
158421b330
hex54489c30

1414044720 has 180 divisors, whose sum is σ = 5220113808. Its totient is φ = 342777600.

The previous prime is 1414044719. The next prime is 1414044767. The reversal of 1414044720 is 274404141.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 79005 + ... + 95235.

Almost surely, 21414044720 is an apocalyptic number.

1414044720 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 1414044720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610056904).

1414044720 is an abundant number, since it is smaller than the sum of its proper divisors (3806069088).

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

1414044720 is a wasteful number, since it uses less digits than its factorization.

1414044720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16272 (or 16252 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1414044720 is about 37603.7859796058. The cubic root of 1414044720 is about 1122.4173764381.

Adding to 1414044720 its reverse (274404141), we get a palindrome (1688448861).

The spelling of 1414044720 in words is "one billion, four hundred fourteen million, forty-four thousand, seven hundred twenty".