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444030130213341 = 37314919115162731
BaseRepresentation
bin110010011110101111101001…
…0001011100101000111011101
32011020011212101020012020212220
41210331133102023211013131
5431144442201313311331
64212212343100215553
7162346055363421000
oct14475372213450735
92136155336166786
10444030130213341
111195331367335a1
124197402023a5b9
131609bb27c67939
147b9125c8c5537
1536503990a1296
hex193d7d22e51dd

444030130213341 has 64 divisors (see below), whose sum is σ = 698698690560000. Its totient is φ = 250709068948800.

The previous prime is 444030130213339. The next prime is 444030130213343. The reversal of 444030130213341 is 143312031030444.

It is an interprime number because it is at equal distance from previous prime (444030130213339) and next prime (444030130213343).

It is not a de Polignac number, because 444030130213341 - 21 = 444030130213339 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444030130213343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21702946 + ... + 36865676.

It is an arithmetic number, because the mean of its divisors is an integer number (10917167040000).

Almost surely, 2444030130213341 is an apocalyptic number.

It is an amenable number.

444030130213341 is a deficient number, since it is larger than the sum of its proper divisors (254668560346659).

444030130213341 is a wasteful number, since it uses less digits than its factorization.

444030130213341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15163095 (or 15163081 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

Adding to 444030130213341 its reverse (143312031030444), we get a palindrome (587342161243785).

The spelling of 444030130213341 in words is "four hundred forty-four trillion, thirty billion, one hundred thirty million, two hundred thirteen thousand, three hundred forty-one".

Divisors: 1 3 7 21 49 147 149 191 343 447 573 1029 1043 1337 3129 4011 7301 9359 21903 28077 28459 51107 65513 85377 153321 196539 199213 597639 1394491 4183473 9761437 15162731 29284311 45488193 106139117 318417351 742973819 2228921457 2259246919 2896081621 5200816733 6777740757 8688244863 15602450199 15814728433 20272571347 47444185299 60817714041 110703099031 141907999429 332109297093 425723998287 431516161529 774921693217 993355996003 1294548484587 2324765079651 2980067988009 3020613130703 9061839392109 21144291914921 63432875744763 148010043404447 444030130213341