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444023322401343 = 3530930319919511
BaseRepresentation
bin110010011110101100011110…
…0011001110101101000111111
32011020011012210210002120110210
41210331120330121311220333
5431144334231013320333
64212205255345203503
7162345424600111416
oct14475307431655077
92136135723076423
10444023322401343
11119530262916693
1241972840330593
131609b2b1712309
147b90bb46b647d
1536500eb59ba63
hex193d63c675a3f

444023322401343 has 16 divisors (see below), whose sum is σ = 592162785561600. Its totient is φ = 295949707574880.

The previous prime is 444023322401171. The next prime is 444023322401353. The reversal of 444023322401343 is 343104223320444.

It is a happy number.

It is not a de Polignac number, because 444023322401343 - 224 = 444023305624127 is a prime.

It is a super-3 number, since 3×4440233224013433 (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444023322401353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 482430958 + ... + 483350468.

It is an arithmetic number, because the mean of its divisors is an integer number (37010174097600).

Almost surely, 2444023322401343 is an apocalyptic number.

444023322401343 is a deficient number, since it is larger than the sum of its proper divisors (148139463160257).

444023322401343 is a wasteful number, since it uses less digits than its factorization.

444023322401343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955142.

The product of its (nonzero) digits is 663552, while the sum is 39.

Adding to 444023322401343 its reverse (343104223320444), we get a palindrome (787127545721787).

The spelling of 444023322401343 in words is "four hundred forty-four trillion, twenty-three billion, three hundred twenty-two million, four hundred one thousand, three hundred forty-three".

Divisors: 1 3 5309 15927 30319 90957 919511 2758533 160963571 482890713 4881683899 14645051697 27878654009 83635962027 148007774133781 444023322401343