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244123422450 = 235229145138677
BaseRepresentation
bin1110001101011011100…
…0111100111011110010
3212100010101021210012220
43203112320330323302
512444431044004300
6304052044101510
723431414565415
oct3432670747362
9770111253186
10244123422450
1194594342596
123b390534896
131a036747a7b
14bb5c16db7c
15653be60da0
hex38d6e3cef2

244123422450 has 96 divisors (see below), whose sum is σ = 626750688960. Its totient is φ = 62809824000.

The previous prime is 244123422409. The next prime is 244123422511. The reversal of 244123422450 is 54224321442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6292512 + ... + 6331188.

It is an arithmetic number, because the mean of its divisors is an integer number (6528653010).

Almost surely, 2244123422450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244123422450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313375344480).

244123422450 is an abundant number, since it is smaller than the sum of its proper divisors (382627266510).

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

244123422450 is a wasteful number, since it uses less digits than its factorization.

244123422450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40172 (or 40167 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 244123422450 its reverse (54224321442), we get a palindrome (298347743892).

The spelling of 244123422450 in words is "two hundred forty-four billion, one hundred twenty-three million, four hundred twenty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 725 870 1450 1451 2175 2902 4350 4353 7255 8706 14510 21765 36275 38677 42079 43530 72550 77354 84158 108825 116031 126237 193385 210395 217650 232062 252474 386770 420790 580155 631185 966925 1051975 1121633 1160310 1262370 1933850 2103950 2243266 2900775 3155925 3364899 5608165 5801550 6311850 6729798 11216330 16824495 28040825 33648990 56081650 56120327 84122475 112240654 168244950 168360981 280601635 336721962 561203270 841804905 1403008175 1627489483 1683609810 2806016350 3254978966 4209024525 4882468449 8137447415 8418049050 9764936898 16274894830 24412342245 40687237075 48824684490 81374474150 122061711225 244123422450