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244155341300 = 2252131729380957
BaseRepresentation
bin1110001101100011001…
…0101101100111110100
3212100012121100102122112
43203120302231213310
513000012231410200
6304055144150152
723432253105323
oct3433062554764
9770177312575
10244155341300
1194600363702
123b39b168358
131a040242270
14bb624bc0ba
15653eb68535
hex38d8cad9f4

244155341300 has 144 divisors (see below), whose sum is σ = 624969218160. Its totient is φ = 81920778240.

The previous prime is 244155341293. The next prime is 244155341303. The reversal of 244155341300 is 3143551442.

It can be written as a sum of positive squares in 24 ways, for example, as 215470499344 + 28684841956 = 464188^2 + 169366^2 .

It is a super-2 number, since 2×2441553413002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (244155341303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450422 + ... + 831378.

It is an arithmetic number, because the mean of its divisors is an integer number (4340064015).

Almost surely, 2244155341300 is an apocalyptic number.

244155341300 is a gapful number since it is divisible by the number (20) 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 244155341300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312484609080).

244155341300 is an abundant number, since it is smaller than the sum of its proper divisors (380813876860).

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

244155341300 is a wasteful number, since it uses less digits than its factorization.

244155341300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381030 (or 381023 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 244155341300 its reverse (3143551442), we get a palindrome (247298892742).

The spelling of 244155341300 in words is "two hundred forty-four billion, one hundred fifty-five million, three hundred forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 13 17 20 25 26 29 34 50 52 58 65 68 85 100 116 130 145 170 221 260 290 325 340 377 425 442 493 580 650 725 754 850 884 986 1105 1300 1450 1508 1700 1885 1972 2210 2465 2900 3770 4420 4930 5525 6409 7540 9425 9860 11050 12325 12818 18850 22100 24650 25636 32045 37700 49300 64090 128180 160225 320450 380957 640900 761914 1523828 1904785 3809570 4952441 6476269 7619140 9523925 9904882 11047753 12952538 19047850 19809764 22095506 24762205 25905076 32381345 38095700 44191012 49524410 55238765 64762690 84191497 99048820 110477530 123811025 129525380 143620789 161906725 168382994 187811801 220955060 247622050 276193825 287241578 323813450 336765988 375623602 420957485 495244100 552387650 574483156 647626900 718103945 751247204 841914970 939059005 1104775300 1436207890 1683829940 1878118010 2104787425 2441553413 2872415780 3590519725 3756236020 4209574850 4695295025 4883106826 7181039450 8419149700 9390590050 9766213652 12207767065 14362078900 18781180100 24415534130 48831068260 61038835325 122077670650 244155341300