230329464641920
230,329,464,641,920 is an even composite number composed of seven prime numbers multiplied together.
What does the number 230329464641920 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
230329464641920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 230329464641920:
27 × 5 × 7 × 17 × 292 × 313 × 11489
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 17 × 29 × 29 × 313 × 11489)See below for interesting mathematical facts about the number 230329464641920 from the Numbermatics database.
Names of 230329464641920
- Cardinal: 230329464641920 can be written as Two hundred thirty trillion, three hundred twenty-nine billion, four hundred sixty-four million, six hundred forty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 2.3032946464192 × 1014
Factors of 230329464641920
Divisors of 230329464641920
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 29 32 34 35 40 56 58 64 68 70 80 85 112 116 119 128 136 140 145 160 170 203 224 232 238 272 280 290 313 320 340 406 448 464 476 493 544 560 580 595 626 640 680 812 841 896 928 952 986 1015 1088 1120 1160 1190 1252 1360 1565 1624 1682 1856 1904 1972 2030 2176 2191 2240 2320 2380 2465 2504 2720 3130 3248 3364 3451 3712 3808 3944 4060 4205 4382 4480 4640 4760 4930 5008 5321 5440 5887 6260 6496 6728 6902 7616 7888 8120 8410 8764 9077 9280 9520 9860 10016 10642 10880 10955 11489 11774 12520 12992 13456 13804 14297 15232 15776 16240 16820 17255 17528 18154 18560 19040 19720 20032 21284 21910 22978 23548 25040 25984 26605 26912 27608 28594 29435 31552 32480 33640 34510 35056 36308 37247 38080 39440 40064 42568 43820 45385 45956 47096 50080 53210 53824 55216 57188 57445 58870 63104 63539 64960 67280 69020 70112 71485 72616 74494 76160 78880 80423 85136 87640 90770 91912 94192 100079 100160 106420 107648 110432 114376 114890 117740 127078 129920 134560 138040 140224 142970 145232 148988 154309 157760 160846 170272 175280 181540 183824 186235 188384 195313 200158 200320 212840 220864 228752 229780 235480 254156 263233 269120 276080 280448 285940 290464 297976 308618 315520 317695 321692 333181 340544 350560 363080 367648 372470 376768 390626 400316 402115 425680 441728 457504 459560 470960 500395 508312 526466 538240 552160 571880 580928 595952 617236 635390 643384 666362 681088 701120 726160 735296 744940 753536 771545 781252 800632 804230 851360 915008 919120 941920 976565 1000790 1016624 1052932 1080163 1104320 1143760 1161856 1191904 1234472 1270780 1286768 1316165 1332724 1367191 1402240 1452320 1470592 1489880 1543090 1562504 1601264 1608460 1665905 1702720 1830016 1838240 1842631 1883840 1953130 2001580 2033248 2105864 2160326 2208640 2287520 2332267 2383808 2468944 2541560 2573536 2632330 2665448 2734382 2904640 2979760 3086180 3125008 3202528 3216920 3331810 3405440 3596057 3676480 3685262 3767680 3906260 4003160 4066496 4211728 4320652 4474961 4575040 4664534 4767616 4937888 5083120 5147072 5264660 5330896 5400815 5468764 5664077 5809280 5959520 6172360 6250016 6405056 6433840 6663620 6835955 7192114 7352960 7370524 7812520 8006320 8132992 8423456 8641304 8949922 9150080 9213155 9329068 9662249 9875776 10166240 10294144 10529320 10661792 10801630 10937528 11328154 11661335 11919040 12344720 12500032 12810112 12867680 13327240 13671910 14384228 14741048 15625040 16012640 16846912 17282608 17899844 17980285 18426310 18658136 19324498 19751552 20332480 21058640 21323584 21603260 21875056 22374805 22656308 23322670 23838080 24689440 25000064 25172399 25735360 26654480 27343820 28320385 28768456 29482096 31250080 31324727 32025280 33693824 34565216 35799688 35960570 36852620 37316272 38648996 39648539 40664960 42117280 42647168 43206520 43750112 44749610 45312616 46645340 48311245 49378880 50344798 51470720 53308960 54687640 56640770 57536912 58964192 61132969 62500160 62649454 64050560 67635743 69130432 71599376 71921140 73705240 74632544 77297992 79297078 84234560 86413040 87500224 89499220 90625232 93290680 96622490 98757760 100689596 104285653 106617920 109375280 113281540 115073824 117928384 122265938 125000320 125298908 125861995 135271486 138260864 143198752 143842280 147410480 149265088 154595984 156623635 158594156 164258233 168469120 172826080 175000448 178998440 181250464 186581360 193244980 198242695 201379192 208571306 213235840 218750560 226563080 230147648 235856768 244531876 250597816 251723990 270542972 286397504 287684560 294820960 298530176 305664845 309191968 313247270 317188312 328516466 338178715 345652160 357996880 362500928 373162720 386489960 396485390 402758384 417142612 427930783 437501120 453126160 460295296 489063752 501195632 503447980 521428265 541085944 572795008 575369120 589641920 611329690 618383936 626494540 634376624 657032932 676357430 691304320 715993760 725001856 729999571 746325440 772979920 792970780 805516768 821291165 834285224 855861566 875002240 906252320 978127504 1002391264 1006895960 1042856530 1082171888 1149807631 1150738240 1179283840 1222659380 1236767872 1252989080 1268753248 1314065864 1352714860 1431987520 1459999142 1492650880 1545959840 1585941560 1611033536 1642582330 1668570448 1711723132 1772856101 1812504640 1956255008 2004782528 2013791920 2085713060 2139653915 2164343776 2299615262 2301476480 2445318760 2505978160 2537506496 2628131728 2705429720 2863975040 2919998284 3024283937 3091919680 3171883120 3222067072 3285164660 3337140896 3423446264 3545712202 3625009280 3649997855 3912510016 4009565056 4027583840 4171426120 4279307830 4328687552 4599230524 4890637520 5011956320 5075012992 5256263456 5410859440 5749038155 5839996568 6048567874 6183839360 6343766240 6570329320 6674281792 6846892528 7091424404 7299995710 7825020032 8055167680 8342852240 8558615660 8657375104 8864280505 9198461048 9781275040 10023912640 10512526912 10821718880 11498076310 11679993136 12097135748 12409992707 12687532480 13140658640 13348563584 13693785056 14182848808 14599991420 15121419685 16110335360 16685704480 17117231320 17728561010 18396922096 19562550080 20047825280 21025053824 21169987559 21643437760 22996152620 23359986272 24194271496 24819985414 25375064960 26281317280 27387570112 28365697616 29199982840 30242839370 33371408960 34234462640 35457122020 36793844192 39125100160 42339975118 43286875520 45992305240 46719972544 48388542992 49639970828 51412826929 52562634560 54775140224 56731395232 58399965680 60485678740 62049963535 66742817920 68468925280 70914244040 73587688384 84679950236 91984610480 93439945088 96777085984 99279941656 102825653858 105125269120 105849937795 113462790464 116799931360 120971357480 124099927070 136937850560 141828488080 147175376768 169359900472 183969220960 193554171968 198559883312 205651307716 211699875590 226925580928 233599862720 241942714960 248199854140 257064134645 273875701120 283656976160 338719800944 359889788503 367938441920 387108343936 397119766624 411302615432 423399751180 467199725440 483885429920 496399708280 514128269290 567313952320 677439601888 719779577006 735876883840 794239533248 822605230864 846799502360 967770859840 992799416560 1028256538580 1134627904640 1354879203776 1439559154012 1588479066496 1645210461728 1693599004720 1799448942515 1935541719680 1985598833120 2056513077160 2709758407552 2879118308024 3290420923456 3387198009440 3598897885030 3971197666240 4113026154320 5758236616048 6580841846912 6774396018880 7197795770060 7942395332480 8226052308640 11516473232096 13548792037760 14395591540120 16452104617280 23032946464192 28791183080240 32904209234560 46065892928384 57582366160480 115164732320960 230329464641920
- Sum of all divisors σ(n): 692343715939200
- Sum of proper divisors (its aliquot sum) s(n): 462014251297280
- 230329464641920 is an abundant number, because the sum of its proper divisors (462014251297280) is greater than itself. Its abundance is 231684786655360
Bases of 230329464641920
- Binary: 1101000101111011110000011110101111011001100000002
- Hexadecimal: 0xD17BC1EBD980
- Base-36: 29N7W8BF5S
Squares and roots of 230329464641920
- 230329464641920 squared (2303294646419202) is 53051662282233475473821286400
- 230329464641920 cubed (2303294646419203) is 12219360971830776180953715504457849765888000
-
The
square root of 230329464641920 is 15176609.1285873209 -
The
cube root of 230329464641920 is 61298.4979448379
Scales and comparisons
How big is 230329464641920?- 230,329,464,641,920 seconds is equal to 7,323,764 years, 27 weeks, 4 hours, 58 minutes, 40 seconds.
-
To count from 1 to 230,329,464,641,920 would take you about eighteen million, three hundred nine thousand, four hundred eleven years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 230329464641920 cubic inches would be around 5108.2 feet tall.
Recreational maths with 230329464641920
- 230329464641920 backwards is 029146464923032
- The number of decimal digits it has is: 15
- The sum of 230329464641920's digits is 55
- More coming soon!
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The information we have on file for 230329464641920 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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