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44114430300 = 22352374784559
BaseRepresentation
bin101001000101011011…
…001100100101011100
311012212102002020210220
4221011123030211130
51210321243232200
632133233201340
73121124320263
oct510533144534
9135772066726
1044114430300
111778849a466
128671a00250
1342105ca9c5
1421c6bcb5da
151232d124a0
hexa456cc95c

44114430300 has 144 divisors (see below), whose sum is σ = 133878097920. Its totient is φ = 11202243840.

The previous prime is 44114430293. The next prime is 44114430301. The reversal of 44114430300 is 303441144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44114430301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 479421 + ... + 563979.

Almost surely, 244114430300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44114430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66939048960).

44114430300 is an abundant number, since it is smaller than the sum of its proper divisors (89763667620).

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

44114430300 is a wasteful number, since it uses less digits than its factorization.

44114430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84660 (or 84653 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 44114430300 its reverse (303441144), we get a palindrome (44417871444).

The spelling of 44114430300 in words is "forty-four billion, one hundred fourteen million, four hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 47 50 60 74 75 94 100 111 141 148 150 185 188 222 235 282 300 370 444 470 555 564 705 740 925 940 1110 1175 1410 1739 1850 2220 2350 2775 2820 3478 3525 3700 4700 5217 5550 6956 7050 8695 10434 11100 14100 17390 20868 26085 34780 43475 52170 84559 86950 104340 130425 169118 173900 253677 260850 338236 422795 507354 521700 845590 1014708 1268385 1691180 2113975 2536770 3128683 3974273 4227950 5073540 6257366 6341925 7948546 8455900 9386049 11922819 12514732 12683850 15643415 15897092 18772098 19871365 23845638 25367700 31286830 37544196 39742730 46930245 47691276 59614095 62573660 78217075 79485460 93860490 99356825 119228190 147048101 156434150 187720980 198713650 234651225 238456380 294096202 298070475 312868300 397427300 441144303 469302450 588192404 596140950 735240505 882288606 938604900 1192281900 1470481010 1764577212 2205721515 2940962020 3676202525 4411443030 7352405050 8822886060 11028607575 14704810100 22057215150 44114430300