Search a number
-
+
44334040425400 = 23521150773969241
BaseRepresentation
bin10100001010010010100101…
…01110110010001110111000
312210222021220111121112001001
422011021102232302032320
521302332103322103100
6234142435455534344
712224012564604115
oct1205112256621670
9183867814545031
1044334040425400
1113142a63041410
124b8029852a3b4
131b978b369093b
14ad3ac983d90c
1551d36ba6cd6a
hex285252bb23b8

44334040425400 has 96 divisors (see below), whose sum is σ = 112469424688080. Its totient is φ = 16118289792000.

The previous prime is 44334040425347. The next prime is 44334040425427. The reversal of 44334040425400 is 452404043344.

It is a self number, because there is not a number n which added to its sum of digits gives 44334040425400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9184780 + ... + 13154020.

Almost surely, 244334040425400 is an apocalyptic number.

44334040425400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44334040425400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56234712344040).

44334040425400 is an abundant number, since it is smaller than the sum of its proper divisors (68135384262680).

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

44334040425400 is a wasteful number, since it uses less digits than its factorization.

44334040425400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974345 (or 3974336 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 37.

Adding to 44334040425400 its reverse (452404043344), we get a palindrome (44786444468744).

The spelling of 44334040425400 in words is "forty-four trillion, three hundred thirty-four billion, forty million, four hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 5077 10154 20308 25385 40616 50770 55847 101540 111694 126925 203080 223388 253850 279235 446776 507700 558470 1015400 1116940 1396175 2233880 2792350 3969241 5584700 7938482 11169400 15876964 19846205 31753928 39692410 43661651 79384820 87323302 99231025 158769640 174646604 198462050 218308255 349293208 396924100 436616510 793848200 873233020 1091541275 1746466040 2183082550 4366165100 8732330200 20151836557 40303673114 80607346228 100759182785 161214692456 201518365570 221670202127 403036731140 443340404254 503795913925 806073462280 886680808508 1007591827850 1108351010635 1773361617016 2015183655700 2216702021270 4030367311400 4433404042540 5541755053175 8866808085080 11083510106350 22167020212700 44334040425400