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4444344204340 = 22517191811379889
BaseRepresentation
bin100000010101100011110…
…0011101011110000110100
3120201212121222201001110111
41000223013203223300310
51040304004104014330
613241411544232404
7636043664266525
oct100530743536064
916655558631414
104444344204340
111463921492027
125b9415a6b704
1326313b514c31
14115170a2284c
157a91a95232a
hex40ac78ebc34

4444344204340 has 96 divisors (see below), whose sum is σ = 10408013481600. Its totient is φ = 1584224133120.

The previous prime is 4444344204319. The next prime is 4444344204341. The reversal of 4444344204340 is 434024434444.

It is a junction number, because it is equal to n+sod(n) for n = 4444344204293 and 4444344204302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444344204341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11509116 + ... + 11889004.

It is an arithmetic number, because the mean of its divisors is an integer number (108416807100).

Almost surely, 24444344204340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4444344204340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5204006740800).

4444344204340 is an abundant number, since it is smaller than the sum of its proper divisors (5963669277260).

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

4444344204340 is a wasteful number, since it uses less digits than its factorization.

4444344204340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381745 (or 381743 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 40.

Adding to 4444344204340 its reverse (434024434444), we get a palindrome (4878368638784).

The spelling of 4444344204340 in words is "four trillion, four hundred forty-four billion, three hundred forty-four million, two hundred four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 19 20 34 38 68 76 85 95 170 190 323 340 380 646 1292 1615 1811 3230 3622 6460 7244 9055 18110 30787 34409 36220 61574 68818 123148 137636 153935 172045 307870 344090 379889 584953 615740 688180 759778 1169906 1519556 1899445 2339812 2924765 3798890 5849530 6458113 7217891 7597780 11699060 12916226 14435782 25832452 28871564 32290565 36089455 64581130 72178910 122704147 129162260 144357820 245408294 490816588 613520735 687978979 1227041470 1375957958 2454082940 2751915916 3439894895 6879789790 11695642643 13071600601 13759579580 23391285286 26143201202 46782570572 52286402404 58478213215 65358003005 116956426430 130716006010 222217210217 233912852860 261432012020 444434420434 888868840868 1111086051085 2222172102170 4444344204340