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44204204000 = 255311291331
BaseRepresentation
bin101001001010110001…
…101001111111100000
311020002200000020011202
4221022301221333200
51211012234012000
632150201300332
73123264351215
oct511261517740
9136080006152
1044204204000
1117824136800
128697a946a8
1342260a0938
1421d4ab9b0c
15123ab46dd5
hexa4ac69fe0

44204204000 has 144 divisors (see below), whose sum is σ = 119382249168. Its totient is φ = 16074080000.

The previous prime is 44204203963. The next prime is 44204204003. The reversal of 44204204000 is 40240244.

44204204000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44204204003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438335 + ... + 529665.

It is an arithmetic number, because the mean of its divisors is an integer number (829043397).

Almost surely, 244204204000 is an apocalyptic number.

44204204000 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 44204204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59691124584).

44204204000 is an abundant number, since it is smaller than the sum of its proper divisors (75178045168).

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

44204204000 is a wasteful number, since it uses less digits than its factorization.

44204204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91378 (or 91349 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 44204204000 its reverse (40240244), we get a palindrome (44244444244).

The spelling of 44204204000 in words is "forty-four billion, two hundred four million, two hundred four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 121 125 160 176 200 220 242 250 275 352 400 440 484 500 550 605 800 880 968 1000 1100 1210 1375 1760 1936 2000 2200 2420 2750 3025 3872 4000 4400 4840 5500 6050 8800 9680 11000 12100 15125 19360 22000 24200 30250 44000 48400 60500 91331 96800 121000 182662 242000 365324 456655 484000 730648 913310 1004641 1461296 1826620 2009282 2283275 2922592 3653240 4018564 4566550 5023205 7306480 8037128 9133100 10046410 11051051 11416375 14612960 16074256 18266200 20092820 22102102 22832750 25116025 32148512 36532400 40185640 44204204 45665500 50232050 55255255 73064800 80371280 88408408 91331000 100464100 110510510 125580125 160742560 176816816 182662000 200928200 221021020 251160250 276276275 353633632 365324000 401856400 442042040 502320500 552552550 803712800 884084080 1004641000 1105105100 1381381375 1768168160 2009282000 2210210200 2762762750 4018564000 4420420400 5525525500 8840840800 11051051000 22102102000 44204204000