420406316719664000
420,406,316,719,664,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 420406316719664000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1728 divisors.
420406316719664000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 420406316719664000:
27 × 53 × 115 × 532 × 2412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 53 × 53 × 241 × 241)See below for interesting mathematical facts about the number 420406316719664000 from the Numbermatics database.
Names of 420406316719664000
- Cardinal: 420406316719664000 can be written as Four hundred twenty quadrillion, four hundred six trillion, three hundred sixteen billion, seven hundred nineteen million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.20406316719664 × 1017
Factors of 420406316719664000
Divisors of 420406316719664000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 53 55 64 80 88 100 106 110 121 125 128 160 176 200 212 220 241 242 250 265 275 320 352 400 424 440 482 484 500 530 550 583 605 640 704 800 848 880 964 968 1000 1060 1100 1166 1205 1210 1325 1331 1375 1408 1600 1696 1760 1928 1936 2000 2120 2200 2332 2410 2420 2650 2651 2662 2750 2809 2915 3025 3200 3392 3520 3856 3872 4000 4240 4400 4664 4820 4840 5300 5302 5324 5500 5618 5830 6025 6050 6413 6625 6655 6784 7040 7712 7744 8000 8480 8800 9328 9640 9680 10600 10604 10648 11000 11236 11660 12050 12100 12773 12826 13250 13255 13310 14045 14575 14641 15125 15424 15488 16000 16960 17600 18656 19280 19360 21200 21208 21296 22000 22472 23320 24100 24200 25546 25652 26500 26510 26620 28090 29150 29161 29282 30125 30250 30848 30899 32065 33275 33920 35200 37312 38560 38720 42400 42416 42592 44000 44944 46640 48200 48400 51092 51304 53000 53020 53240 56180 58081 58300 58322 58564 60250 60500 61798 63865 64130 66275 66550 70225 70543 72875 73205 74624 77120 77440 84800 84832 85184 88000 89888 93280 96400 96800 102184 102608 106000 106040 106480 112360 116162 116600 116644 117128 120500 121000 123596 127730 128260 132550 133100 140450 140503 141086 145750 145805 146410 154240 154495 160325 161051 166375 169600 169664 170368 176000 179776 186560 192800 193600 204368 205216 212000 212080 212960 224720 232324 233200 233288 234256 241000 242000 247192 255460 256520 265100 266200 280900 281006 282172 290405 291500 291610 292820 308990 319325 320650 320771 322102 331375 332750 339328 339889 351125 352715 359552 366025 373120 385600 387200 408736 410432 424000 424160 425920 449440 464648 466400 466576 468512 482000 484000 494384 510920 513040 530200 532400 561800 562012 564344 580810 583000 583220 585640 617980 638650 638891 641300 641542 644204 662750 665500 676969 679778 702250 702515 705430 729025 732050 771200 772475 775973 801625 805255 817472 820864 848000 848320 851840 898880 929296 932800 933152 937024 964000 968000 988768 1021840 1026080 1060400 1064800 1123600 1124024 1128688 1161620 1166000 1166440 1171280 1235960 1277300 1277782 1282600 1283084 1288408 1325500 1331000 1353938 1359556 1404500 1405030 1410860 1452025 1458050 1464100 1544950 1545533 1551946 1596625 1603250 1603855 1610510 1634944 1696640 1699445 1763575 1797760 1830125 1858592 1865600 1866304 1874048 1928000 1936000 1977536 2043680 2052160 2120800 2129600 2247200 2248048 2257376 2323240 2332000 2332880 2342560 2471920 2554600 2555564 2565200 2566168 2576816 2651000 2662000 2707876 2719112 2809000 2810060 2821720 2904050 2916100 2928200 3078293 3089900 3091066 3103892 3193250 3194455 3206500 3207710 3221020 3384845 3398890 3512575 3527150 3528481 3645125 3660250 3717184 3732608 3738779 3856000 3862375 3879865 3955072 4026275 4087360 4104320 4241600 4259200 4494400 4496096 4514752 4646480 4664000 4665760 4685120 4943840 5109200 5111128 5130400 5132336 5153632 5302000 5324000 5415752 5438224 5618000 5620120 5643440 5808100 5832200 5856400 6156586 6179800 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25661680 25768160 27078760 27191120 28100600 28111204 28217200 28227848 29040500 29161000 29282000 29786636 29910232 30782930 30899000 30910660 31038920 31944550 32077100 32210200 33848450 33861223 33988900 34001726 34142812 35125750 35139005 35271500 35284810 37171840 37233295 37387790 38638325 38798650 38813291 40096375 40262750 40873600 40889024 41058688 41126569 42416000 42486125 42678515 43326016 43505792 44944000 44960960 45147520 46464800 46657600 46851200 49252688 49438400 49457056 49662272 51092000 51111280 51304000 51323360 51536320 54157520 54382240 56201200 56222408 56434400 56455696 58081000 58322000 58564000 59573272 59820464 61565860 61798000 61821320 62077840 63889100 64154200 64420400 67696900 67722446 67977800 68003452 68285624 70251500 70278010 70543000 70569620 74466590 74775580 76957325 77276650 77305811 77597300 77626582 79861375 80192750 80525500 81778048 81913249 82253138 84621125 84972250 85004315 85357030 86652032 88212025 89921920 92929600 93315200 93469475 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1802091478000 1802771512520 1809569036000 1870800626200 1974109300900 1982300625800 1983048663772 2048603991500 2057104423000 2171520230990 2180530688380 2253464390650 2338500782750 2388672254089 2467636626125 2477875782250 2478810829715 2526859905152 2610392464000 2622213109120 2721164547200 2725663360475 2871431710400 2883346364800 2884434420032 2979787624000 2992151888000 2993281001920 3158574881440 3171681001280 3277766386400 3291367076800 3401455684000 3474432369584 3488849101408 3589289638000 3604182956000 3605543025040 3619138072000 3741601252400 3948218601800 3964601251600 3966097327544 4097207983000 4114208846000 4343040461980 4361061376760 4506928781300 4677001565500 4777344508178 4935273252250 4955751564500 4957621659430 5428800577475 5451326720950 5633660976625 5742863420800 5768868840064 5959575248000 5986562003840 6317149762880 6343362002560 6555532772800 6582734153600 6802911368000 6948864739168 6977698202816 7178579276000 7208365912000 7211086050080 7238276144000 7483202504800 7896437203600 7929202503200 7932194655088 8194415966000 8228417692000 8686080923960 8722122753520 9013857562600 9354003131000 9554689016356 9870546504500 9911503129000 9915243318860 10857601154950 10902653441900 11267321953250 11943361270445 12394054148575 12634299525760 13111065545600 13605822736000 13628316802375 13897729478336 13955396405632 14357158552000 14416731824000 14422172100160 14966405009600 15792874407200 15858405006400 15864389310176 16388831932000 16456835384000 17372161847920 17444245507040 18027715125200 18708006262000 19109378032712 19741093009000 19823006258000 19830486637720 21715202309900 21805306883800 22534643906500 23886722540890 24788108297150 26275394794979 27144002887375 27256633604750 27795458956672 28714317104000 28844344200320 29932810019200 31585748814400 31716810012800 31728778620352 32777663864000 32913670768000 34744323695840 34888491014080 36055430250400 37416012524000 38218756065424 39482186018000 39646012516000 39660973275440 43430404619800 43610613767600 45069287813000 47773445081780 49576216594300 52550789589958 54288005774750 54513267209500 59716806352225 61970270742875 63171497628800 63457557240704 65555327728000 69488647391680 69776982028160 72110860500800 74832025048000 76437512130848 78964372036000 79292025032000 79321946550880 86860809239600 87221227535200 90138575626000 95546890163560 99152433188600 105101579179916 108576011549500 109026534419000 119433612704450 123940541485750 131376973974895 138977294783360 144221721001600 149664050096000 152875024261696 157928744072000 158584050064000 158643893101760 173721618479200 174442455070400 180277151252000 191093780327120 198304866377200 210203158359832 217152023099000 218053068838000 238867225408900 247881082971500 262753947949790 298584031761125 305750048523392 315857488144000 317287786203520 347443236958400 348884910140800 360554302504000 382187560654240 396609732754400 420406316719664 434304046198000 436106137676000 477734450817800 495762165943000 525507895899580 597168063522250 656884869874475 694886473916800 721108605008000 764375121308480 793219465508800 840812633439328 868608092396000 872212275352000 955468901635600 991524331886000 1051015791799160 1194336127044500 1313769739748950 1528750242616960 1586438931017600 1681625266878656 1737216184792000 1744424550704000 1910937803271200 1983048663772000 2102031583598320 2388672254089000 2627539479497900 3284424349372375 3363250533757312 3474432369584000 3821875606542400 3966097327544000 4204063167196640 4777344508178000 5255078958995800 6568848698744750 7643751213084800 7932194655088000 8408126334393280 9554689016356000 10510157917991600 13137697397489500 16816252668786560 19109378032712000 21020315835983200 26275394794979000 38218756065424000 42040631671966400 52550789589958000 84081263343932800 105101579179916000 210203158359832000 420406316719664000
- Sum of all divisors σ(n): 1176743607117034320
- Sum of proper divisors (its aliquot sum) s(n): 756337290397370320
- 420406316719664000 is an abundant number, because the sum of its proper divisors (756337290397370320) is greater than itself. Its abundance is 335930973677706320
Bases of 420406316719664000
- Binary: 101110101011001010101010001010100010110011111101011100000002
- Hexadecimal: 0x5D595515167EB80
- Base-36: 36ZHLNOLGD4W
Squares and roots of 420406316719664000
- 420406316719664000 squared (4204063167196640002) is 176741471137794438513564272896000000
- 420406316719664000 cubed (4204063167196640003) is 74303230892654962345685768795851730025426944000000000
-
The
square root of 420406316719664000 is 648387474.2155835323 -
The
cube root of 420406316719664000 is 749128.6572416385
Scales and comparisons
How big is 420406316719664000?- 420,406,316,719,664,000 seconds is equal to 13,367,620,469 years, 29 weeks, 3 days, 53 minutes, 20 seconds.
-
To count from 1 to 420,406,316,719,664,000 would take you about forty billion, one hundred two million, eight hundred sixty-one thousand, four hundred eight 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 420406316719664000 cubic inches would be around 62427.4 feet tall.
Recreational maths with 420406316719664000
- 420406316719664000 backwards is 000466917613604024
- The number of decimal digits it has is: 18
- The sum of 420406316719664000's digits is 59
- More coming soon!
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"Number 420406316719664000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 420406316719664000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/420406316719664000/
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The information we have on file for 420406316719664000 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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