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244144031140 = 225137193461677
BaseRepresentation
bin1110001101100000011…
…1100100010110100100
3212100011211001211000201
43203120013210112210
513000001332444030
6304054101520244
723432055011152
oct3433007442644
9770154054021
10244144031140
11945a4a39169
123b397413084
131a03aab2269
14bb60bb63d2
15653db822ca
hex38d81e45a4

244144031140 has 48 divisors (see below), whose sum is σ = 519121823472. Its totient is φ = 96442269696.

The previous prime is 244144031113. The next prime is 244144031141. The reversal of 244144031140 is 41130441442.

It can be written as a sum of positive squares in 8 ways, for example, as 10837642816 + 233306388324 = 104104^2 + 483018^2 .

It is a junction number, because it is equal to n+sod(n) for n = 244144031099 and 244144031108.

It is not an unprimeable number, because it can be changed into a prime (244144031141) 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 15 ways as a sum of consecutive naturals, for example, 297982 + ... + 759658.

It is an arithmetic number, because the mean of its divisors is an integer number (10815037989).

Almost surely, 2244144031140 is an apocalyptic number.

244144031140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244144031140 is an abundant number, since it is smaller than the sum of its proper divisors (274977792332).

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

244144031140 is a wasteful number, since it uses less digits than its factorization.

244144031140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462016 (or 462014 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 244144031140 its reverse (41130441442), we get a palindrome (285274472582).

The spelling of 244144031140 in words is "two hundred forty-four billion, one hundred forty-four million, thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 137 193 274 386 548 685 772 965 1370 1930 2740 3860 26441 52882 105764 132205 264410 461677 528820 923354 1846708 2308385 4616770 9233540 63249749 89103661 126499498 178207322 252998996 316248745 356414644 445518305 632497490 891036610 1264994980 1782073220 12207201557 24414403114 48828806228 61036007785 122072015570 244144031140