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444314142 = 232173134639
BaseRepresentation
bin11010011110111…
…011001000011110
31010222001111102100
4122132323020132
51402221023032
6112031105530
714003415336
oct3236731036
91128044370
10444314142
11208892878
121049722a6
137108899c
144301c0c6
152901897c
hex1a7bb21e

444314142 has 48 divisors (see below), whose sum is σ = 1022785920. Its totient is φ = 138917376.

The previous prime is 444314131. The next prime is 444314147. The reversal of 444314142 is 241413444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444314147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93459 + ... + 98097.

It is an arithmetic number, because the mean of its divisors is an integer number (21308040).

Almost surely, 2444314142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444314142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511392960).

444314142 is an abundant number, since it is smaller than the sum of its proper divisors (578471778).

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

444314142 is a wasteful number, since it uses less digits than its factorization.

444314142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4974 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 444314142 is about 21078.7604474267. The cubic root of 444314142 is about 763.0682415473.

Adding to 444314142 its reverse (241413444), we get a palindrome (685727586).

The spelling of 444314142 in words is "four hundred forty-four million, three hundred fourteen thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 313 626 939 1878 2817 4639 5321 5634 9278 10642 13917 15963 27834 31926 41751 47889 78863 83502 95778 157726 236589 473178 709767 1419534 1452007 2904014 4356021 8712042 13068063 24684119 26136126 49368238 74052357 148104714 222157071 444314142