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244235510540 = 225753162720231
BaseRepresentation
bin1110001101110110010…
…0100010001100001100
3212100102012012110011122
43203131210202030030
513000143242314130
6304111130340112
723434245405020
oct3433544421414
9770365173148
10244235510540
119464163aa7a
123b401b8a638
131a053a31698
14bb6cdca380
156546c022e5
hex38dd92230c

244235510540 has 96 divisors (see below), whose sum is σ = 597621556224. Its totient is φ = 82103374080.

The previous prime is 244235510531. The next prime is 244235510557. The reversal of 244235510540 is 45015532442.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 244235510540.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12062225 + ... + 12082455.

It is an arithmetic number, because the mean of its divisors is an integer number (6225224544).

Almost surely, 2244235510540 is an apocalyptic number.

244235510540 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 244235510540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298810778112).

244235510540 is an abundant number, since it is smaller than the sum of its proper divisors (353386045684).

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

244235510540 is a wasteful number, since it uses less digits than its factorization.

244235510540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21927 (or 21925 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 244235510540 in words is "two hundred forty-four billion, two hundred thirty-five million, five hundred ten thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 53 70 106 140 212 265 371 530 742 1060 1484 1627 1855 3254 3710 6508 7420 8135 11389 16270 20231 22778 32540 40462 45556 56945 80924 86231 101155 113890 141617 172462 202310 227780 283234 344924 404620 431155 566468 603617 708085 862310 1072243 1207234 1416170 1724620 2144486 2414468 2832340 3018085 4288972 5361215 6036170 7505701 10722430 12072340 15011402 21444860 30022804 32915837 37528505 65831674 75057010 131663348 150114020 164579185 230410859 329158370 460821718 658316740 921643436 1152054295 1744539361 2304108590 3489078722 4608217180 6978157444 8722696805 12211775527 17445393610 24423551054 34890787220 48847102108 61058877635 122117755270 244235510540