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4434301144 = 2371329210037
BaseRepresentation
bin1000010000100111…
…00001000011011000
3102110000220211121201
410020103201003120
533040140114034
62012002243544
7214612636450
oct41023410330
912400824551
104434301144
111976058099
12a390565b4
135588b2940
14300cc6d60
151ae462014
hex1084e10d8

4434301144 has 64 divisors (see below), whose sum is σ = 10585915200. Its totient is φ = 1693730304.

The previous prime is 4434301141. The next prime is 4434301147. The reversal of 4434301144 is 4411034344.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4434301141) and next prime (4434301147).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4434301141) 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 15 ways as a sum of consecutive naturals, for example, 83907 + ... + 126130.

It is an arithmetic number, because the mean of its divisors is an integer number (165404925).

Almost surely, 24434301144 is an apocalyptic number.

It is an amenable number.

4434301144 is an abundant number, since it is smaller than the sum of its proper divisors (6151614056).

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

4434301144 is a wasteful number, since it uses less digits than its factorization.

4434301144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210092 (or 210088 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4434301144 is about 66590.5484584712. The cubic root of 4434301144 is about 1642.8896536521.

Adding to 4434301144 its reverse (4411034344), we get a palindrome (8845335488).

The spelling of 4434301144 in words is "four billion, four hundred thirty-four million, three hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 29 52 56 58 91 104 116 182 203 232 364 377 406 728 754 812 1508 1624 2639 3016 5278 10556 21112 210037 420074 840148 1470259 1680296 2730481 2940518 5460962 5881036 6091073 10921924 11762072 12182146 19113367 21843848 24364292 38226734 42637511 48728584 76453468 79183949 85275022 152906936 158367898 170550044 316735796 341100088 554287643 633471592 1108575286 2217150572 4434301144