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44404977654436 = 22749727012
BaseRepresentation
bin10100001100010110101101…
…11010110101101010100100
312211020002000020112010110011
422012023112322311222210
521310012343234420221
6234235210510540004
712232103512240000
oct1206132672655244
9184202006463404
1044404977654436
1113170055283533
124b91b95207604
131ba14aa038189
14ad72d8b03700
1552011e5b11e1
hex2862d6eb5aa4

44404977654436 has 135 divisors (see below), whose sum is σ = 91729844094147. Its totient is φ = 18807643814400.

The previous prime is 44404977654413. The next prime is 44404977654523. The reversal of 44404977654436 is 63445677940444.

The square root of 44404977654436 is 6663706.

It is a perfect power (a square), and thus also a powerful number.

44404977654436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5346777536100 + 39058200118336 = 2312310^2 + 6249656^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63345188886 + ... + 63345189586.

Almost surely, 244404977654436 is an apocalyptic number.

44404977654436 is the 6663706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44404977654436

44404977654436 is an abundant number, since it is smaller than the sum of its proper divisors (47324866439711).

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

44404977654436 is an frugal number, since it uses more digits than its factorization.

44404977654436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 67.

The spelling of 44404977654436 in words is "forty-four trillion, four hundred four billion, nine hundred seventy-seven million, six hundred fifty-four thousand, four hundred thirty-six".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 343 388 679 686 701 1358 1372 1402 2401 2716 2804 4753 4802 4907 9409 9506 9604 9814 18818 19012 19628 33271 34349 37636 65863 66542 67997 68698 131726 133084 135994 137396 232897 240443 263452 271988 461041 465794 475979 480886 491401 922082 931588 951958 961772 982802 1683101 1844164 1903916 1965604 3227287 3331853 3366202 3439807 6454574 6595709 6663706 6732404 6879614 12909148 13191418 13327412 13759228 22591009 23322971 24078649 26382836 45182018 46169963 46645942 47665897 48157298 90364036 92339926 93291884 95331794 96314596 163260797 168550543 184679852 190663588 323189741 326521594 333661279 337101086 646379482 653043188 667322558 674202172 1179853801 1292758964 1334645116 2262328187 2335628953 2359707602 4524656374 4623592009 4671257906 4719415204 9049312748 9247184018 9342515812 15836297309 16349402671 18494368036 31672594618 32365144063 32698805342 63345189236 64730288126 65397610684 114445818697 129460576252 226556008441 228891637394 453112016882 457783274788 906224033764 1585892059087 3171784118174 6343568236348 11101244413609 22202488827218 44404977654436