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44200101400 = 23527132428577
BaseRepresentation
bin101001001010100010…
…000000011000011000
311020002101021210110121
4221022202000120120
51211010211221100
632145533323024
73123214443250
oct511242003030
9136071253417
1044200101400
1117821894424
128696636474
134225295470
1421d432c960
15123a5d651a
hexa4a880618

44200101400 has 96 divisors (see below), whose sum is σ = 126480342240. Its totient is φ = 13988597760.

The previous prime is 44200101391. The next prime is 44200101401. The reversal of 44200101400 is 410100244.

44200101400 is a modest number, since divided by 101400 gives 44200 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44200101401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1196089 + ... + 1232488.

It is an arithmetic number, because the mean of its divisors is an integer number (1317503565).

Almost surely, 244200101400 is an apocalyptic number.

44200101400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44200101400 is an abundant number, since it is smaller than the sum of its proper divisors (82280240840).

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

44200101400 is a wasteful number, since it uses less digits than its factorization.

44200101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428613 (or 2428604 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 44200101400 its reverse (410100244), we get a palindrome (44610201644).

The spelling of 44200101400 in words is "forty-four billion, two hundred million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 130 140 175 182 200 260 280 325 350 364 455 520 650 700 728 910 1300 1400 1820 2275 2600 3640 4550 9100 18200 2428577 4857154 9714308 12142885 17000039 19428616 24285770 31571501 34000078 48571540 60714425 63143002 68000156 85000195 97143080 121428850 126286004 136000312 157857505 170000390 221000507 242857700 252572008 315715010 340000780 425000975 442001014 485715400 631430020 680001560 789287525 850001950 884002028 1105002535 1262860040 1578575050 1700003900 1768004056 2210005070 3157150100 3400007800 4420010140 5525012675 6314300200 8840020280 11050025350 22100050700 44200101400