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4400404000398 = 2327263271490001
BaseRepresentation
bin100000000001000110010…
…0001000110111010001110
3120120200012201110102021200
41000002030201012322032
51034044011411003043
613205303453210330
7632630053566630
oct100021441067216
916520181412250
104400404000398
11144722338149a
125b09b24909a6
1325bc58049163
14112da3028a50
15796e80a77d3
hex4008c846e8e

4400404000398 has 96 divisors (see below), whose sum is σ = 10978051848192. Its totient is φ = 1247853600000.

The previous prime is 4400404000387. The next prime is 4400404000417. The reversal of 4400404000398 is 8930004040044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8735398 + ... + 9225398.

It is an arithmetic number, because the mean of its divisors is an integer number (114354706752).

Almost surely, 24400404000398 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4400404000398, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489025924096).

4400404000398 is an abundant number, since it is smaller than the sum of its proper divisors (6577647847794).

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

4400404000398 is a wasteful number, since it uses less digits than its factorization.

4400404000398 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490550 (or 490547 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 4400404000398 in words is "four trillion, four hundred billion, four hundred four million, three hundred ninety-eight", and thus it is an aban number.

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 263 271 526 542 789 813 1578 1626 1841 1897 2367 2439 3682 3794 4734 4878 5523 5691 11046 11382 16569 17073 33138 34146 71273 142546 213819 427638 490001 498911 641457 980002 997822 1282914 1470003 1496733 2940006 2993466 3430007 4410009 4490199 6860014 8820018 8980398 10290021 20580042 30870063 61740126 128870263 132790271 257740526 265580542 386610789 398370813 773221578 796741626 902091841 929531897 1159832367 1195112439 1804183682 1859063794 2319664734 2390224878 2706275523 2788595691 5412551046 5577191382 8118826569 8365787073 16237653138 16731574146 34923841273 69847682546 104771523819 209543047638 244466888911 314314571457 488933777822 628629142914 733400666733 1466801333466 2200202000199 4400404000398