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244241334320 = 245311672412447
BaseRepresentation
bin1110001101110111101…
…0110000000000110000
3212100102121011022220012
43203131322300000300
513000201240144240
6304111455234052
723434346041664
oct3433572600060
9770377138805
10244241334320
1194644958515
123b403b18928
131a054cc03c9
14bb6daa48a4
1565474a2b65
hex38ddeb0030

244241334320 has 160 divisors (see below), whose sum is σ = 592378085376. Its totient is φ = 93550694400.

The previous prime is 244241334317. The next prime is 244241334331. The reversal of 244241334320 is 23433142442.

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, 99811337 + ... + 99813783.

Almost surely, 2244241334320 is an apocalyptic number.

244241334320 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 244241334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296189042688).

244241334320 is an abundant number, since it is smaller than the sum of its proper divisors (348136751056).

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

244241334320 is a wasteful number, since it uses less digits than its factorization.

244241334320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 244241334320 its reverse (23433142442), we get a palindrome (267674476762).

The spelling of 244241334320 in words is "two hundred forty-four billion, two hundred forty-one million, three hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 167 241 248 310 334 482 496 620 668 835 964 1205 1240 1336 1670 1928 2410 2447 2480 2672 3340 3856 4820 4894 5177 6680 7471 9640 9788 10354 12235 13360 14942 19280 19576 20708 24470 25885 29884 37355 39152 40247 41416 48940 51770 59768 74710 75857 80494 82832 97880 103540 119536 149420 151714 160988 195760 201235 207080 298840 303428 321976 379285 402470 408649 414160 589727 597680 606856 643952 758570 804940 817298 1179454 1213712 1247657 1517140 1609880 1634596 2043245 2358908 2495314 2948635 3034280 3219760 3269192 4086490 4717816 4990628 5897270 6068560 6238285 6538384 8172980 9435632 9981256 11794540 12476570 12668119 16345960 18281537 19962512 23589080 24953140 25336238 32691920 36563074 47178160 49906280 50672476 63340595 73126148 91407685 98484409 99812560 101344952 126681190 146252296 182815370 196968818 202689904 253362380 292504592 365630740 393937636 492422045 506724760 731261480 787875272 984844090 1013449520 1462522960 1575750544 1969688180 3053016679 3939376360 6106033358 7878752720 12212066716 15265083395 24424133432 30530166790 48848266864 61060333580 122120667160 244241334320