4097711934016000
4,097,711,934,016,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 4097711934016000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
4097711934016000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 4097711934016000:
29 × 53 × 312 × 73 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 31 × 31 × 73 × 97 × 97 × 97)See below for interesting mathematical facts about the number 4097711934016000 from the Numbermatics database.
Names of 4097711934016000
- Cardinal: 4097711934016000 can be written as Four quadrillion, ninety-seven trillion, seven hundred eleven billion, nine hundred thirty-four million, sixteen thousand.
Scientific notation
- Scientific notation: 4.097711934016 × 1015
Factors of 4097711934016000
Divisors of 4097711934016000
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 73 80 97 100 124 125 128 146 155 160 194 200 248 250 256 292 310 320 365 388 400 485 496 500 512 584 620 640 730 775 776 800 961 970 992 1000 1168 1240 1280 1460 1550 1552 1600 1825 1922 1940 1984 2000 2263 2336 2425 2480 2560 2920 3007 3100 3104 3200 3650 3844 3875 3880 3968 4000 4526 4672 4805 4850 4960 5840 6014 6200 6208 6400 7081 7300 7688 7750 7760 7936 8000 9052 9125 9344 9409 9610 9700 9920 11315 11680 12028 12125 12400 12416 12800 14162 14600 15035 15376 15500 15520 15872 16000 18104 18250 18688 18818 19220 19400 19840 22630 23360 24025 24056 24250 24800 24832 28324 29200 30070 30752 31000 31040 32000 35405 36208 36500 37376 37636 38440 38800 39680 45260 46720 47045 48050 48112 48500 49600 49664 56575 56648 58400 60140 61504 62000 62080 64000 70153 70810 72416 73000 75175 75272 76880 77600 79360 90520 93217 93440 94090 96100 96224 97000 99200 113150 113296 116800 120125 120280 123008 124000 124160 140306 141620 144832 146000 150350 150544 153760 155200 177025 181040 186434 186880 188180 192200 192448 194000 198400 219511 226300 226592 233600 235225 240250 240560 246016 248000 248320 280612 282875 283240 289664 291679 292000 300700 301088 307520 310400 350765 354050 362080 372868 375875 376360 384400 384896 388000 396800 439022 452600 453184 466085 467200 470450 480500 481120 492032 496000 561224 565750 566480 579328 583358 584000 601400 602176 615040 620800 686857 701530 708100 724160 745736 751750 752720 768800 769792 776000 878044 885125 905200 906368 912673 932170 934400 940900 961000 962240 992000 1097555 1122448 1131500 1132960 1158656 1166716 1168000 1176125 1202800 1204352 1230080 1241600 1373714 1403060 1416200 1448320 1458395 1491472 1503500 1505440 1537600 1539584 1552000 1753825 1756088 1770250 1810400 1812736 1825346 1864340 1881800 1922000 1924480 1984000 2195110 2244896 2263000 2265920 2330425 2333432 2336000 2352250 2405600 2408704 2460160 2747428 2806120 2832400 2896640 2916790 2982944 3007000 3010880 3075200 3104000 3434285 3507650 3512176 3540500 3620800 3625472 3650692 3728680 3763600 3844000 3848960 4390220 4489792 4526000 4531840 4563365 4660850 4666864 4672000 4704500 4811200 4817408 5487775 5494856 5612240 5664800 5793280 5833580 5965888 6014000 6021760 6150400 6208000 6804841 6868570 7015300 7024352 7081000 7241600 7291975 7301384 7457360 7527200 7688000 7697920 8769125 8780440 8979584 9042049 9052000 9063680 9126730 9321700 9333728 9409000 9622400 10975550 10989712 11224480 11329600 11652125 11667160 11931776 12028000 12043520 12300800 13609682 13737140 14030600 14048704 14162000 14483200 14583950 14602768 14914720 15054400 15376000 17171425 17538250 17560880 17959168 18084098 18104000 18127360 18253460 18643400 18667456 18818000 19244800 21292567 21951100 21979424 22448960 22659200 22816825 23304250 23334320 23863552 24056000 24087040 27219364 27438875 27474280 28061200 28097408 28292863 28324000 28966400 29167900 29205536 29829440 30108800 30752000 34024205 34342850 35076500 35121760 35918336 36168196 36208000 36459875 36506920 37286800 37334912 37636000 38489600 42585134 43902200 43958848 44897920 45210245 45318400 45633650 46608500 46668640 47727104 48112000 54438728 54877750 54948560 56122400 56194816 56585726 56648000 58335800 58411072 59658880 60217600 61504000 66625129 68048410 68685700 70153000 70243520 72336392 72416000 72919750 73013840 74573600 74669824 75272000 85170268 85857125 87804400 87917696 89795840 90420490 90636800 91267300 93217000 93337280 96224000 106462835 108877456 109755500 109897120 112244800 112389632 113171452 113296000 114084125 116671600 116822144 119317760 120435200 133250258 136096820 137371400 140306000 140487040 141464315 144672784 144832000 145839500 146027680 149147200 149339648 150544000 170121025 170340536 171714250 175608800 175835392 179591680 180840980 182534600 186434000 186674560 192448000 212925670 217754912 219511000 219794240 224489600 226051225 226342904 226592000 228168250 233343200 233644288 238635520 266500516 272193640 274742800 280612000 280974080 282928630 289345568 291679000 292055360 298294400 301088000 333125645 340242050 340681072 343428500 351217600 351670784 361681960 365069200 372868000 373349120 425851340 435509824 439022000 439588480 448979200 452102450 452685808 453184000 456336500 466686400 467288576 532314175 533001032 544387280 549485600 561224000 561948160 565857260 578691136 583358000 584110720 596588800 602176000 660069577 666251290 680484100 681362144 686857000 702435200 707321575 723363920 730138400 745736000 746698240 850605125 851702680 871019648 877078753 878044000 879176960 897958400 904204900 905371616 912673000 933372800 1064628350 1066002064 1088774560 1098971200 1122448000 1130256125 1131714520 1157382272 1166716000 1168221440 1193177600 1320139154 1332502580 1360968200 1362724288 1373714000 1404870400 1414643150 1446727840 1460276800 1491472000 1665628225 1701210250 1703405360 1742039296 1754157506 1756088000 1758353920 1808409800 1810743232 1825346000 1866745600 2065378999 2129256700 2132004128 2177549120 2197942400 2244896000 2260512250 2263429040 2314764544 2333432000 2336442880 2640278308 2661570875 2665005160 2721936400 2725448576 2747428000 2809740800 2829286300 2893455680 2920553600 2982944000 3300347885 3331256450 3402420500 3406810720 3484078592 3508315012 3512176000 3536607875 3616819600 3621486464 3650692000 3733491200 4130757998 4258513400 4264008256 4355098240 4385393765 4395884800 4489792000 4521024500 4526858080 4629529088 4666864000 5280556616 5323141750 5330010320 5443872800 5450897152 5494856000 5658572600 5786911360 5841107200 5965888000 6600695770 6662512900 6804841000 6813621440 7016630024 7024352000 7073215750 7233639200 7242972928 7301384000 8261515996 8328141125 8517026800 8528016512 8710196480 8770787530 8791769600 9042049000 9053716160 9333728000 10326894995 10561113232 10646283500 10660020640 10887745600 10901794304 10989712000 11317145200 11573822720 11682214400 13201391540 13325025800 13609682000 13627242880 14033260048 14048704000 14146431500 14467278400 14485945856 14602768000 16501739425 16523031992 16656282250 17034053600 17056033024 17420392960 17541575060 18084098000 18107432320 18667456000 20653789990 21122226464 21292567000 21320041280 21775491200 21926968825 21979424000 22634290400 23147645440 26402783080 26650051600 27219364000 27254485760 28066520096 28292863000 28934556800 29205536000 33003478850 33046063984 33312564500 34068107200 34112066048 35083150120 36168196000 36214864640 41307579980 42244452928 42585134000 42640082560 43550982400 43853937650 43958848000 45268580800 51634474975 52805566160 53300103200 54438728000 54508971520 56133040192 56585726000 57869113600 58411072000 64026748969 66006957700 66092127968 66625129000 68136214400 70166300240 72336392000 72429729280 82508697125 82615159960 84488905856 85170268000 85280165120 87101964800 87707875300 90537161600 103268949950 105611132320 106600206400 108877456000 109634844125 112266080384 113171452000 115738227200 128053497938 132013915400 132184255936 133250258000 136272428800 140332600480 144672784000 165017394250 165230319920 168977811712 170340536000 170560330240 175415750600 181074323200 206537899900 211222264640 213200412800 217754912000 219269688250 224532160768 226342904000 256106995876 258172374875 264027830800 264368511872 266500516000 272544857600 280665200960 289345568000 320133744845 330034788500 330460639840 337955623424 340681072000 350831501200 362148646400 413075799800 422444529280 426400825600 435509824000 438539376500 449064321536 452685808000 512213991752 516344749750 528055661600 528737023744 533001032000 561330401920 578691136000 640267489690 660069577000 660921279680 681362144000 701663002400 826151599600 844889058560 852801651200 877078753000 905371616000 1024427983504 1032689499500 1056111323200 1057474047488 1066002064000 1122660803840 1280534979380 1320139154000 1321842559360 1362724288000 1403326004800 1600668724225 1652303199200 1689778117120 1754157506000 1810743232000 2048855967008 2065378999000 2112222646400 2132004128000 2245321607680 2561069958760 2640278308000 2643685118720 2806652009600 3201337448450 3304606398400 3508315012000 4097711934016 4130757998000 4224445292800 4264008256000 5122139917520 5280556616000 5287370237440 5613304019200 6402674896900 6609212796800 7016630024000 8003343621125 8195423868032 8261515996000 8448890585600 10244279835040 10561113232000 11226608038400 12805349793800 13218425593600 14033260048000 16006687242250 16390847736064 16523031992000 20488559670080 21122226464000 25610699587600 26436851187200 28066520096000 32013374484500 32781695472128 33046063984000 40977119340160 42244452928000 51221399175200 56133040192000 64026748969000 66092127968000 81954238680320 102442798350400 128053497938000 132184255936000 163908477360640 204885596700800 256106995876000 409771193401600 512213991752000 819542386803200 1024427983504000 2048855967008000 4097711934016000
- Sum of all divisors σ(n): 10814262305726880
- Sum of proper divisors (its aliquot sum) s(n): 6716550371710880
- 4097711934016000 is an abundant number, because the sum of its proper divisors (6716550371710880) is greater than itself. Its abundance is 2618838437694880
Bases of 4097711934016000
- Binary: 11101000111011011000111010000011100000001010000000002
- Hexadecimal: 0xE8ED8E8380A00
- Base-36: 14CIMVHQ58G
Squares and roots of 4097711934016000
- 4097711934016000 squared (40977119340160002) is 16791243094177147137888256000000
- 4097711934016000 cubed (40977119340160003) is 68805677213973441626505484523853316096000000000
-
The
square root of 4097711934016000 is 64013373.0873166847 -
The
cube root of 4097711934016000 is 160022.2877027203
Scales and comparisons
How big is 4097711934016000?- 4,097,711,934,016,000 seconds is equal to 130,294,564 years, 23 weeks, 1 day, 12 hours, 26 minutes, 40 seconds.
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To count from 1 to 4,097,711,934,016,000 would take you about three hundred ninety million, eight hundred eighty-three thousand, six hundred ninety-three 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 4097711934016000 cubic inches would be around 13335.2 feet tall.
Recreational maths with 4097711934016000
- 4097711934016000 backwards is 0006104391177904
- The number of decimal digits it has is: 16
- The sum of 4097711934016000's digits is 52
- More coming soon!
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The information we have on file for 4097711934016000 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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