7138214832000
7,138,214,832,000 is an even composite number composed of six prime numbers multiplied together.
7138214832000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 7138214832000:
27 × 3 × 53 × 7 × 127 × 4092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 127 × 409 × 409)See below for interesting mathematical facts about the number 7138214832000 from the Numbermatics database.
Names of 7138214832000
- Cardinal: 7138214832000 can be written as Seven trillion, one hundred thirty-eight billion, two hundred fourteen million, eight hundred thirty-two thousand.
Scientific notation
- Scientific notation: 7.138214832 × 1012
Factors of 7138214832000
Divisors of 7138214832000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 125 127 128 140 150 160 168 175 192 200 210 224 240 250 254 280 300 320 336 350 375 381 384 400 409 420 448 480 500 508 525 560 600 635 640 672 700 750 762 800 818 840 875 889 896 960 1000 1016 1050 1120 1200 1227 1270 1344 1400 1500 1524 1600 1636 1680 1750 1778 1905 1920 2000 2032 2045 2100 2240 2400 2454 2540 2625 2667 2688 2800 2863 3000 3048 3175 3200 3272 3360 3500 3556 3810 4000 4064 4090 4200 4445 4480 4800 4908 5080 5250 5334 5600 5726 6000 6096 6135 6350 6544 6720 7000 7112 7620 8000 8128 8180 8400 8589 8890 9525 9600 9816 10160 10225 10500 10668 11200 11452 12000 12192 12270 12700 13088 13335 13440 14000 14224 14315 15240 15875 16000 16256 16360 16800 17178 17780 19050 19632 20320 20450 21000 21336 22225 22400 22904 24000 24384 24540 25400 26176 26670 28000 28448 28630 30480 30675 31750 32720 33600 34356 35560 38100 39264 40640 40900 42000 42672 42945 44450 45808 47625 48000 48768 49080 50800 51125 51943 52352 53340 56000 56896 57260 60960 61350 63500 65440 66675 67200 68712 71120 71575 76200 78528 81280 81800 84000 85344 85890 88900 91616 95250 98160 101600 102250 103886 106680 111125 112000 113792 114520 121920 122700 127000 130880 133350 137424 142240 143150 152400 153375 155829 157056 163600 167281 168000 170688 171780 177800 183232 190500 196320 203200 204500 207772 213360 214725 222250 229040 243840 245400 254000 259715 261760 266700 274848 284480 286300 304800 306750 311658 327200 333375 334562 336000 341376 343560 355600 357875 363601 366464 381000 392640 406400 409000 415544 426720 429450 444500 458080 490800 501843 508000 519430 533400 549696 568960 572600 609600 613500 623316 654400 666750 669124 687120 711200 715750 727202 762000 779145 785280 818000 831088 836405 853440 858900 889000 916160 981600 1003686 1016000 1038860 1066800 1073625 1090803 1099392 1145200 1170967 1219200 1227000 1246632 1298575 1308800 1333500 1338248 1374240 1422400 1431500 1454404 1524000 1558290 1636000 1662176 1672810 1706880 1717800 1778000 1818005 1832320 1963200 2007372 2032000 2077720 2133600 2147250 2181606 2290400 2341934 2454000 2493264 2509215 2597150 2667000 2676496 2748480 2844800 2863000 2908808 3048000 3116580 3272000 3324352 3345620 3435600 3512901 3556000 3636010 3895725 3926400 4014744 4155440 4182025 4267200 4294500 4363212 4580800 4683868 4908000 4986528 5018430 5194300 5334000 5352992 5454015 5496960 5726000 5817616 5854835 6096000 6233160 6492875 6544000 6648704 6691240 6871200 7025802 7112000 7272020 7791450 8029488 8310880 8364050 8534400 8589000 8726424 9090025 9161600 9367736 9816000 9973056 10036860 10388600 10668000 10705984 10908030 11452000 11635232 11709670 12466320 12546075 12985750 13382480 13742400 14051604 14224000 14544040 15582900 16058976 16621760 16728100 17178000 17452848 17564505 18180050 18735472 19478625 19632000 19946112 20073720 20777200 20910125 21244687 21336000 21411968 21816060 22904000 23270464 23419340 24932640 25092150 25971500 26764960 27270075 27484800 28103208 29088080 29274175 31165800 32117952 33243520 33456200 34356000 34905696 35129010 36360100 37470944 38957250 40147440 41554400 41820250 42489374 42672000 43632120 45450125 45808000 46540928 46838680 49865280 50184300 51943000 53529920 54540150 56206416 58176160 58548350 62331600 62730375 63734061 64235904 66912400 68712000 69811392 70258020 72720200 74941888 77914500 80294880 83108800 83640500 84978748 87264240 87822525 90900250 93677360 99730560 100368600 103886000 106223435 107059840 109080300 112412832 116352320 117096700 124663200 125460750 127468122 133824800 136350375 137424000 139622784 140516040 145440400 146370875 148712809 149883776 155829000 160589760 166217600 167281000 169957496 174528480 175645050 181800500 187354720 200737200 207772000 212446870 218160600 224825664 232704640 234193400 249326400 250921500 254936244 267649600 272700750 281032080 290880800 292741750 297425618 311658000 318670305 321179520 334562000 339914992 349056960 351290100 363601000 374709440 401474400 415544000 424893740 436321200 439112625 446138427 449651328 468386800 498652800 501843000 509872488 531117175 535299200 545401500 562064160 581761600 585483500 594851236 623316000 637340610 669124000 679829984 698113920 702580200 727202000 743564045 749418880 802948800 831088000 849787480 872642400 878225250 892276854 936773600 1003686000 1019744976 1062234350 1090803000 1124128320 1163523200 1170967000 1189702472 1246632000 1274681220 1338248000 1359659968 1405160400 1454404000 1487128090 1593351525 1605897600 1699574960 1745284800 1756450500 1784553708 1873547200 2007372000 2039489952 2124468700 2181606000 2230692135 2248256640 2341934000 2379404944 2493264000 2549362440 2655585875 2676496000 2719319936 2810320800 2908808000 2974256180 3186703050 3399149920 3490569600 3512901000 3569107416 3717820225 3747094400 4014744000 4078979904 4248937400 4363212000 4461384270 4683868000 4758809888 5098724880 5311171750 5620641600 5817616000 5948512360 6373406100 6798299840 7025802000 7138214832 7435640450 7966757625 8029488000 8157959808 8497874800 8726424000 8922768540 9367736000 9517619776 10197449760 10622343500 11153460675 11241283200 11897024720 12746812200 13596599680 14051604000 14276429664 14871280900 15933515250 16995749600 17452848000 17845537080 18589101125 18735472000 19035239552 20394899520 21244687000 22306921350 23794049440 25493624400 28103208000 28552859328 29742561800 31867030500 33991499200 35691074160 37178202250 40789799040 42489374000 44613842700 47588098880 50987248800 55767303375 56206416000 57105718656 59485123600 63734061000 67982998400 71382148320 74356404500 84978748000 89227685400 95176197760 101974497600 111534606750 118970247200 127468122000 142764296640 148712809000 169957496000 178455370800 203948995200 223069213500 237940494400 254936244000 285528593280 297425618000 339914992000 356910741600 446138427000 475880988800 509872488000 594851236000 713821483200 892276854000 1019744976000 1189702472000 1427642966400 1784553708000 2379404944000 3569107416000 7138214832000
- Sum of all divisors σ(n): 27323383726080
- Sum of proper divisors (its aliquot sum) s(n): 20185168894080
- 7138214832000 is an abundant number, because the sum of its proper divisors (20185168894080) is greater than itself. Its abundance is 13046954062080
Bases of 7138214832000
- Binary: 11001111101111111101100001001100111100000002
- Hexadecimal: 0x67DFEC26780
- Base-36: 2J390T2TC
Squares and roots of 7138214832000
- 7138214832000 squared (71382148320002) is 50954110987784788224000000
- 7138214832000 cubed (71382148320003) is 363721390804379546124535738368000000000
-
The
square root of 7138214832000 is 2671743.7811287219 -
The
cube root of 7138214832000 is 19254.3947526083
Scales and comparisons
How big is 7138214832000?- 7,138,214,832,000 seconds is equal to 226,973 years, 7 weeks, 6 days, 5 hours, 20 minutes.
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To count from 1 to 7,138,214,832,000 would take you about five hundred sixty-seven thousand, four hundred thirty-two 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 7138214832000 cubic inches would be around 1604.5 feet tall.
Recreational maths with 7138214832000
- 7138214832000 backwards is 0002384128317
- The number of decimal digits it has is: 13
- The sum of 7138214832000's digits is 39
- More coming soon!
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