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44400004444400 = 24521110199910001
BaseRepresentation
bin10100001100001101011100…
…11111100011000011110000
312211012121011122112212210212
422012012232133203003300
521304422202114210100
6234233025213443252
712231536333531243
oct1206065637430360
9184177148485725
1044400004444400
1113168a330041a0
124b910277a0528
131ba0b968c9447
14ad6d8641725a
1551ee2cb9c635
hex2861ae7e30f0

44400004444400 has 120 divisors (see below), whose sum is σ = 117520538592528. Its totient is φ = 15985600000000.

The previous prime is 44400004444387. The next prime is 44400004444417. The reversal of 44400004444400 is 444440000444.

It is a zygodrome in base 10.

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, 49510601 + ... + 50399400.

Almost surely, 244400004444400 is an apocalyptic number.

44400004444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44400004444400 is an abundant number, since it is smaller than the sum of its proper divisors (73120534148128).

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

44400004444400 is a wasteful number, since it uses less digits than its factorization.

44400004444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99910131 (or 99910120 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 44400004444400 its reverse (444440000444), we get a palindrome (44844444444844).

The spelling of 44400004444400 in words is "forty-four trillion, four hundred billion, four million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 101 110 176 200 202 220 275 400 404 440 505 550 808 880 1010 1100 1111 1616 2020 2200 2222 2525 4040 4400 4444 5050 5555 8080 8888 10100 11110 17776 20200 22220 27775 40400 44440 55550 88880 111100 222200 444400 99910001 199820002 399640004 499550005 799280008 999100010 1099010011 1598560016 1998200020 2198020022 2497750025 3996400040 4396040044 4995500050 5495050055 7992800080 8792080088 9991000100 10090910101 10990100110 17584160176 19982000200 20181820202 21980200220 27475250275 39964000400 40363640404 43960400440 50454550505 54950500550 80727280808 87920800880 100909101010 109901001100 111000011111 161454561616 201818202020 219802002200 222000022222 252272752525 403636404040 439604004400 444000044444 504545505050 555000055555 807272808080 888000088888 1009091010100 1110000111110 1776000177776 2018182020200 2220000222220 2775000277775 4036364040400 4440000444440 5550000555550 8880000888880 11100001111100 22200002222200 44400004444400