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44442244200 = 23352573712911
BaseRepresentation
bin101001011000111101…
…101101010001101000
311020201020220220221110
4221120331231101220
51212004203303300
632225543310320
73132214562034
oct513075552150
9136636826843
1044442244200
1117936540942
12874374b3a0
1342634b6723
1422185611c4
1512519b7550
hexa58f6d468

44442244200 has 96 divisors (see below), whose sum is σ = 137805644160. Its totient is φ = 11848281600.

The previous prime is 44442244181. The next prime is 44442244229. The reversal of 44442244200 is 244224444.

44442244200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×444422442003 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3435745 + ... + 3448655.

It is an arithmetic number, because the mean of its divisors is an integer number (1435475460).

Almost surely, 244442244200 is an apocalyptic number.

44442244200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44442244200 is an abundant number, since it is smaller than the sum of its proper divisors (93363399960).

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

44442244200 is a wasteful number, since it uses less digits than its factorization.

44442244200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18667 (or 18658 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 44442244200 its reverse (244224444), we get a palindrome (44686468644).

The spelling of 44442244200 in words is "forty-four billion, four hundred forty-two million, two hundred forty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5737 11474 12911 17211 22948 25822 28685 34422 38733 45896 51644 57370 64555 68844 77466 86055 103288 114740 129110 137688 143425 154932 172110 193665 229480 258220 286850 309864 322775 344220 387330 430275 516440 573700 645550 688440 774660 860550 968325 1147400 1291100 1549320 1721100 1936650 2582200 3442200 3873300 7746600 74070407 148140814 222211221 296281628 370352035 444422442 592563256 740704070 888844884 1111056105 1481408140 1777689768 1851760175 2222112210 2962816280 3703520350 4444224420 5555280525 7407040700 8888448840 11110561050 14814081400 22221122100 44442244200