10001401680164000
10,001,401,680,164,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 10001401680164000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1536 divisors.
10001401680164000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 10001401680164000:
25 × 53 × 17 × 43 × 73 × 127 × 137 × 2693
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 17 × 43 × 73 × 127 × 137 × 2693)See below for interesting mathematical facts about the number 10001401680164000 from the Numbermatics database.
Names of 10001401680164000
- Cardinal: 10001401680164000 can be written as Ten quadrillion, one trillion, four hundred one billion, six hundred eighty million, one hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.0001401680164 × 1016
Factors of 10001401680164000
Divisors of 10001401680164000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 32 34 40 43 50 68 73 80 85 86 100 125 127 136 137 146 160 170 172 200 215 250 254 272 274 292 340 344 365 400 425 430 500 508 544 548 584 635 680 685 688 730 731 800 850 860 1000 1016 1075 1096 1168 1241 1270 1360 1370 1376 1460 1462 1700 1720 1825 2000 2032 2125 2150 2159 2192 2329 2336 2482 2540 2693 2720 2740 2920 2924 3139 3175 3400 3425 3440 3650 3655 4000 4064 4250 4300 4318 4384 4658 4964 5080 5375 5386 5461 5480 5840 5848 5891 6205 6278 6350 6800 6850 6880 7300 7310 8500 8600 8636 9125 9271 9316 9928 10001 10160 10750 10772 10795 10922 10960 11645 11680 11696 11782 12410 12556 12700 13465 13600 13700 14600 14620 15695 15875 17000 17125 17200 17272 17399 18250 18275 18542 18632 19856 20002 20320 21500 21544 21590 21844 21920 23290 23392 23564 24820 25112 25400 26930 27305 27400 29200 29240 29455 31025 31390 31750 34000 34250 34400 34544 34798 36500 36550 37084 37264 39712 40004 43000 43088 43180 43688 45781 46355 46580 47128 49640 50005 50224 50800 53363 53860 53975 54610 54800 58225 58400 58480 58910 62050 62780 63500 67325 68000 68500 69088 69596 73000 73100 74168 74528 78475 80008 86000 86176 86360 86995 87376 91375 91562 92710 92837 93160 94256 99280 100010 100147 100448 101600 106726 107720 107950 109220 109600 115799 116450 116960 117820 124100 125560 127000 134650 136525 137000 139192 146000 146200 147275 148336 155125 156950 157607 160016 170017 172000 172720 173990 174752 182750 183124 185420 185674 186320 188512 196589 198560 200020 200294 213452 215440 215900 218440 228905 231598 231775 232900 235640 248200 250025 251120 254000 266815 269300 269875 273050 274000 278384 291125 292000 292400 294550 295783 296672 310250 313900 315214 320032 336625 340034 342011 345440 347980 365500 366248 368941 370840 371348 372640 392375 393178 398653 400040 400588 426904 430043 430880 431800 434975 436880 457810 463196 463550 464185 465800 471280 496400 500050 500735 502240 508000 533630 538600 539750 546100 548000 556768 578995 582250 584800 589100 591566 620500 627800 630428 673250 680068 682625 684022 695960 731000 732496 736375 737882 741680 742696 748157 784750 786356 788035 797306 800080 801176 850085 853808 860086 863600 869950 873760 915620 926392 927100 928370 931600 942560 982945 992800 1000100 1001470 1067260 1077200 1079500 1092200 1144525 1157990 1158875 1164500 1178200 1183132 1241000 1250125 1255600 1260856 1270127 1334075 1346500 1360136 1365250 1368044 1391920 1462000 1464992 1472750 1475764 1478915 1483360 1485392 1496314 1569500 1572712 1576070 1594612 1600160 1602352 1700170 1707616 1710055 1720172 1727200 1739900 1831240 1844705 1852784 1854200 1856740 1863200 1965890 1968583 1993265 2000200 2002940 2134520 2150215 2154400 2159000 2174875 2184400 2289050 2315980 2317750 2320925 2329000 2356400 2366264 2482000 2500250 2503675 2511200 2521712 2540254 2668150 2693000 2720272 2730500 2736088 2783840 2894975 2924000 2945500 2951528 2957830 2970784 2992628 3139000 3145424 3152140 3189224 3204704 3342013 3400340 3420110 3440344 3479800 3662480 3689410 3705568 3708400 3713480 3740785 3931780 3937166 3940175 3986530 4000400 4005880 4250425 4269040 4300430 4318000 4349750 4368800 4578100 4631960 4635500 4641850 4658000 4712800 4732528 4914725 4964000 5000500 5007350 5043424 5080508 5336300 5386000 5440544 5461000 5472176 5722625 5789950 5814187 5891000 5903056 5915660 5985256 6271997 6278000 6290848 6304280 6350635 6378448 6670375 6684026 6777101 6800680 6840220 6880688 6959600 7310731 7324960 7378820 7394575 7416800 7426960 7481570 7863560 7874332 7880350 7973060 8000800 8011760 8453327 8500850 8538080 8550275 8600860 8636000 8699500 9156200 9223525 9263920 9271000 9283700 9316000 9465056 9829450 9842915 9966325 10001000 10014700 10161016 10672600 10751075 10772000 10922000 10944352 11445250 11579900 11604625 11628374 11782000 11806112 11831320 11970512 12518375 12543994 12556000 12608560 12701270 12718669 12756896 13340750 13368052 13554202 13601360 13680440 13761376 13919200 14474875 14621462 14706473 14757640 14789150 14853920 14963140 15727120 15748664 15760700 15864463 15946120 16023520 16710065 16906654 17001700 17100550 17201720 17399000 18312400 18447050 18527840 18542000 18567400 18703925 19658900 19685830 19700875 19932650 20002000 20029400 20322032 21252125 21345200 21502150 21592159 21844000 22890500 23159800 23209250 23256748 23564000 23662640 23941024 24573625 24966803 25036750 25087988 25217120 25402540 25437338 26681500 26736104 26932693 27108404 27202720 27360880 28949750 29070935 29242924 29412946 29515280 29578300 29926280 31359985 31454240 31497328 31521400 31728926 31753175 31892240 33420130 33813308 33885505 34003400 34201100 34403440 34798000 36553655 36624800 36894100 36972875 37084000 37134800 37407850 39317800 39371660 39401750 39865300 40004000 40058800 40644064 42266635 42504250 42690400 42751375 43004300 43184318 45781000 46117625 46319600 46418500 46513496 46855507 47325280 49147250 49214575 49831625 49933606 50073500 50175976 50805080 50874676 53363000 53472208 53755375 53865386 54216808 54615461 54721760 57899500 58141870 58485848 58825892 59030560 59156600 59852560 62719970 62994656 63042800 63457852 63506350 63593345 63784480 66840260 67626616 67771010 68006800 68402200 68806880 69596000 73107310 73532365 73788200 73945750 74269600 74815700 78635600 78743320 78803500 79322315 79730600 80117600 83550325 84533270 85008500 85502750 86008600 86368636 91562000 92235250 92639200 92837000 93026992 93519625 93711014 98294500 98429150 99663250 99867212 100147000 100351952 101610160 101749352 106726000 106944416 107510750 107730772 107960795 108433616 109230922 115799000 116283740 116971696 117651784 118313200 119705120 124834015 125439940 126085600 126915704 127012700 127186690 133680520 134663465 135253232 135542020 136013600 136804400 143706559 145354675 146214620 147064730 147576400 147891500 149631400 156799925 157271200 157486640 157607000 158644630 158765875 159461200 167100650 169066540 169427525 170017000 171005500 172017200 172737272 182768275 183124000 184470500 185674000 186053984 187039250 187422028 196589000 196858300 199326500 199734424 200294000 200703904 203220320 203498704 211333175 213452000 215021500 215461544 215921590 216867232 218461844 231598000 232567480 233943392 234277535 235303568 236626400 246072875 249668030 250010041 250879880 253831408 254025400 254373380 267361040 269326930 269695871 270506464 271084040 273077305 273608800 287413118 290709350 292429240 294129460 295152800 295783000 299262800 313599850 314973280 315214000 317289260 317531750 317966725 318922400 334201300 338133080 338855050 340034000 342011000 344034400 345474544 365536550 367661825 368941000 371348000 374078500 374844056 393178000 393716600 396611575 398653000 399468848 400588000 406997408 417751625 422666350 424435651 430043000 430923088 431843180 436923688 457855781 463196000 465134960 468555070 470607136 492145750 499336060 500020082 501759760 507662816 508050800 508746760 534722080 538653860 539391742 539803975 542168080 546154610 574826236 581418700 584858480 588258920 591566000 598525600 624170075 627199700 630428000 634578520 635063500 635933450 668402600 673317325 676266160 677710100 680068000 684022000 690949088 718532795 726773375 731073100 735323650 737882000 748157000 749688112 783999625 786356000 787433200 793223150 796543619 797306000 798937696 835503250 845332700 847137625 848871302 860086000 861846176 863686360 873847376 913841375 915711562 928462837 930269920 937110140 984291500 998672120 1000040164 1003519520 1016101600 1017493520 1056665875 1073572529 1077307720 1078783484 1079607950 1084336160 1092309220 1149652472 1158105799 1162837400 1169716960 1171387675 1176517840 1183132000 1248340150 1250050205 1254399400 1269157040 1270127000 1271866900 1336805200 1346634650 1348479355 1352532320 1355420200 1365386525 1368044000 1437065590 1453546750 1462146200 1470647300 1475764000 1496314000 1499376224 1567999250 1574866400 1586446300 1589833625 1593087238 1594612000 1671006500 1690665400 1694275250 1697742604 1720172000 1727372720 1747694752 1827682750 1831423124 1838309125 1856925674 1874220280 1968583000 1983057875 1997344240 2000080328 2014786801 2034987040 2113331750 2122178255 2147145058 2154615440 2157566968 2159215900 2184618440 2289278905 2299304944 2316211598 2325674800 2342775350 2353035680 2496680300 2500100410 2508798800 2538314080 2540254000 2543733800 2673610400 2693269300 2696958710 2699019875 2710840400 2730773050 2874131180 2907093500 2924292400 2941294600 2992628000 3120850375 3135998500 3172892600 3179667250 3186174476 3342013000 3366586625 3381330800 3388550500 3395485208 3420452011 3454745440 3592663975 3655365500 3662846248 3676618250 3713851348 3748440560 3937166000 3966115750 3982718095 3994688480 4000160656 4029573602 4226663500 4244356510 4294290116 4309230880 4315133936 4318431800 4369236880 4578557810 4598609888 4632423196 4642314185 4651349600 4685550700 4993360600 5000200820 5017597600 5080508000 5087467600 5367862645 5386538600 5393917420 5398039750 5421680800 5461546100 5748262360 5790528995 5814187000 5848584800 5856938375 5882589200 6241700750 6250251025 6271997000 6345785200 6359334500 6372348952 6684026000 6733173250 6742396775 6762661600 6777101000 6790970416 6826932625 6840904022 7185327950 7310731000 7325692496 7353236500 7427702696 7496881120 7874332000 7932231500 7965436190 8000321312 8059147204 8453327000 8488713020 8588580232 8630267872 8636863600 8738473760 9157115620 9264846392 9284628370 9371101400 9986721200 10000401640 10073934005 10174935200 10610891275 10735725290 10773077200 10787834840 10796079500 10923092200 11446394525 11496524720 11581057990 11628374000 11713876750 11765178400 12483401500 12500502050 12543994000 12691570400 12718669000 12744697904 13368052000 13466346500 13484793550 13554202000 13581940832 13653865250 13681808044 14370655900 14621462000 14651384992 14706473000 14855405392 15864463000 15930872380 16118294408 16906654000 16977426040 17102260055 17177160464 17273727200 17963319875 18250732993 18314231240 18529692784 18569256740 18742202800 19687798583 19913590475 19973442400 20000803280 20147868010 21221782550 21471450580 21546154400 21575669680 21592159000 21846184400 22892789050 22993049440 23162115980 23211570925 23256748000 23427753500 24966803000 25001004100 25087988000 25437338000 25489395808 26839313225 26932693000 26969587100 27108404000 27307730500 27363616088 28741311800 28952644975 29242924000 29412946000 29710810784 31251255125 31728926000 31861744760 32236588816 33711983875 33813308000 33954852080 34204520110 34251375617 34354320928 35926639750 36501465986 36628462480 37059385568 37138513480 37484405600 39375597166 39827180950 40001606560 40295736020 42443565100 42942901160 43151339360 43184318000 43692368800 45785578100 46324231960 46423141850 46855507000 49933606000 50002008200 50369670025 50874676000 53054456375 53678626450 53865386000 53939174200 54615461000 54727232176 57231972625 57482623600 57905289950 58147684187 58825892000 62502510250 63457852000 63723489520 64473177632 67423967750 67909704160 68409040220 68502751234 71853279500 73002931972 73256924960 74277026960 78751194332 79654361900 80591472040 84887130200 85511300275 85885802320 86368636000 91253664965 91571156200 92648463920 92846283700 93711014000 98438992915 99567952375 99867212000 100004016400 100739340050 106108912750 107357252900 107730772000 107878348400 109230922000 109454464352 114463945250 114965247200 115810579900 116057854625 116295368374 125005020500 127446979040 134196566125 134847935500 136818080440 137005502468 143706559000 144763224875 146005863944 147079436473 148554053920 157502388664 159308723800 161182944080 169774260400 171022600550 171256878085 171771604640 182507329930 183142312400 185296927840 185692567400 187422028000 196877985830 199135904750 200008032800 201478680100 212217825500 214714505800 215756696800 218461844000 228927890500 231621159800 232115709250 232590736748 250010041000 251848350125 268393132250 269695871000 273636160880 274011004936 287413118000 289526449750 290738420935 292011727888 294158872946 315004777328 318617447600 322365888160 339548520800 342045201100 342513756170 365014659860 366284624800 371385134800 393755971660 398271809500 402957360200 424435651000 427556501375 429429011600 456268324825 457855781000 463242319600 464231418500 465181473496 492194964575 500020082000 503696700250 536786264500 539391742000 547272321760 548022009872 574826236000 579052899500 581476841870 584023455776 588317745892 630009554656 637234895200 684090402200 685027512340 730029319720 735397182365 742770269600 787511943320 796543619000 805914720400 848871302000 855113002750 856284390425 858858023200 912536649650 915711562000 926484639200 928462837000 930362946992 984389929150 1000040164000 1007393400500 1073572529000 1078783484000 1096044019744 1158105799000 1162953683740 1176635491784 1368180804400 1370055024680 1453692104675 1460058639440 1470794364730 1575023886640 1593087238000 1611829440800 1697742604000 1710226005500 1712568780850 1825073299300 1831423124000 1856925674000 1860725893984 1968779858300 2014786801000 2147145058000 2281341624125 2316211598000 2325907367480 2353270983568 2460974822875 2500350420041 2736361608800 2740110049360 2907384209350 2920117278880 2941588729460 3150047773280 3186174476000 3420452011000 3425137561700 3650146598600 3676985911825 3713851348000 3937559716600 4029573602000 4281421952125 4294290116000 4562683248250 4632423196000 4651814734960 4706541967136 4921949645750 5000700840082 5480220098720 5814768418700 5883177458920 6840904022000 6850275123400 7268460523375 7300293197200 7353971823650 7875119433200 8059147204000 8562843904250 9125366496500 9303629469920 9843899291500 10001401680164 11629536837400 11766354917840 12501752100205 13681808044000 13700550246800 14536921046750 14600586394400 14707943647300 15750238866400 17125687808500 18250732993000 18384929559125 19687798583000 20002803360328 23259073674800 23532709835680 25003504200410 27401100493600 29073842093500 29415887294600 34251375617000 36501465986000 36769859118250 39375597166000 40005606720656 46518147349600 50007008400820 58147684187000 58831774589200 62508760501025 68502751234000 73002931972000 73539718236500 78751194332000 80011213441312 100014016801640 116295368374000 117663549178400 125017521002050 137005502468000 147079436473000 200028033603280 232590736748000 250035042004100 294158872946000 312543802505125 400056067206560 500070084008200 588317745892000 625087605010250 1000140168016400 1250175210020500 2000280336032800 2500350420041000 5000700840082000 10001401680164000
- Sum of all divisors σ(n): 27409978605993984
- Sum of proper divisors (its aliquot sum) s(n): 17408576925829984
- 10001401680164000 is an abundant number, because the sum of its proper divisors (17408576925829984) is greater than itself. Its abundance is 7407175245665984
Bases of 10001401680164000
- Binary: 1000111000100000111000110010100110011011110100101000002
- Hexadecimal: 0x238838CA66F4A0
- Base-36: 2QH78I3TWGW
Squares and roots of 10001401680164000
- 10001401680164000 squared (100014016801640002) is 100028035567987282151066896000000
- 10001401680164000 cubed (100014016801640003) is 1000420562993172355757464381719560250944000000000
-
The
square root of 10001401680164000 is 100007008.1552488001 -
The
cube root of 10001401680164000 is 215453.5346274757
Scales and comparisons
How big is 10001401680164000?- 10,001,401,680,164,000 seconds is equal to 318,013,637 years, 3 weeks, 1 day, 18 hours, 53 minutes, 20 seconds.
-
To count from 1 to 10,001,401,680,164,000 would take you about nine hundred fifty-four million, forty thousand, nine 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 10001401680164000 cubic inches would be around 17954.5 feet tall.
Recreational maths with 10001401680164000
- 10001401680164000 backwards is 00046108610410001
- 10001401680164000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 10001401680164000's digits is 32
- More coming soon!
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The information we have on file for 10001401680164000 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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