309422922420072006000
309,422,922,420,072,006,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 309422922420072006000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1920 divisors.
309422922420072006000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 309422922420072006000:
24 × 32 × 53 × 7 × 13 × 19 × 1667 × 5964161369
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 19 × 1667 × 5964161369)See below for interesting mathematical facts about the number 309422922420072006000 from the Numbermatics database.
Names of 309422922420072006000
- Cardinal: 309422922420072006000 can be written as Three hundred nine quintillion, four hundred twenty-two quadrillion, nine hundred twenty-two trillion, four hundred twenty billion, seventy-two million, six thousand.
Scientific notation
- Scientific notation: 3.09422922420072006 × 1020
Factors of 309422922420072006000
- Number of distinct prime factors ω(n): 8
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 5964163085
Divisors of 309422922420072006000
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 25 26 28 30 35 36 38 39 40 42 45 48 50 52 56 57 60 63 65 70 72 75 76 78 80 84 90 91 95 100 104 105 112 114 117 120 125 126 130 133 140 144 150 152 156 168 171 175 180 182 190 195 200 208 210 225 228 234 240 247 250 252 260 266 273 280 285 300 304 312 315 325 336 342 350 360 364 375 380 390 399 400 420 450 455 456 468 475 494 500 504 520 525 532 546 560 570 585 600 624 630 650 665 684 700 720 728 741 750 760 780 798 819 840 855 875 900 910 912 936 950 975 988 1000 1008 1040 1050 1064 1092 1125 1140 1170 1197 1200 1235 1260 1300 1330 1365 1368 1400 1425 1456 1482 1500 1520 1560 1575 1596 1625 1638 1667 1680 1710 1729 1750 1800 1820 1872 1900 1950 1976 1995 2000 2100 2128 2184 2223 2250 2275 2280 2340 2375 2394 2470 2520 2600 2625 2660 2730 2736 2800 2850 2925 2964 3000 3120 3150 3192 3250 3276 3325 3334 3420 3458 3500 3600 3640 3705 3800 3900 3952 3990 4095 4200 4275 4368 4446 4500 4550 4560 4680 4750 4788 4875 4940 5001 5040 5187 5200 5250 5320 5460 5700 5850 5928 5985 6000 6175 6300 6384 6500 6552 6650 6668 6825 6840 6916 7000 7125 7280 7410 7600 7800 7875 7980 8190 8335 8400 8550 8645 8892 9000 9100 9360 9500 9576 9750 9880 9975 10002 10374 10500 10640 10920 11115 11375 11400 11669 11700 11856 11970 12350 12600 13000 13104 13300 13336 13650 13680 13832 14000 14250 14625 14820 15003 15561 15600 15750 15960 16380 16625 16670 17100 17290 17784 18000 18200 18525 19000 19152 19500 19760 19950 20004 20475 20748 21000 21375 21671 21840 22230 22750 22800 23338 23400 23940 24700 25005 25200 25935 26000 26600 26672 27300 27664 28500 29250 29640 29925 30006 30875 31122 31500 31673 31920 32760 33250 33340 34125 34200 34580 35007 35568 36400 37050 38000 39000 39900 40008 40950 41496 41675 42000 42750 43225 43342 44460 45500 46676 46800 47880 49400 49875 50010 51870 53200 54600 55575 57000 58345 58500 59280 59850 60012 61750 62244 63000 63346 65013 65520 66500 66680 68250 68400 69160 70014 74100 75015 77805 78000 79800 80016 81900 82992 83350 85500 86450 86684 88920 91000 92625 93352 95019 95760 98800 99750 100020 102375 103740 105021 108355 109200 111150 114000 116690 117000 119700 120024 123500 124488 125025 126000 126692 129675 130026 133000 133360 136500 138320 140028 148200 149625 150030 151697 155610 158365 159600 163800 166700 171000 172900 173368 175035 177840 182000 185250 186704 190038 195039 199500 200040 204750 207480 208375 210042 216125 216710 221711 222300 233380 234000 239400 240048 247000 248976 250050 253384 259350 260052 266000 273000 277875 280056 285057 291725 296400 299250 300060 303394 311220 316730 325065 327600 333400 342000 345800 346736 350070 370500 375075 380076 389025 390078 399000 400080 409500 411749 414960 416750 420084 432250 433420 443422 444600 455091 466760 475095 478800 494000 500100 506768 518700 520104 525105 541775 546000 555750 560112 570114 583450 598500 600120 606788 622440 625125 633460 648375 650130 665133 666800 691600 700140 741000 750150 758485 760152 778050 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58937699508585144 59504408157706155 59653542012738000 61393436988109525 61872210042006000 62636219113374900 63471368701553232 64624670513799500 65141667877909896 66116009064117950 67855904039489475 68005037894521320 68760649426682668 69595799014861000 70838581140126375 72379630975455440 73672124385731430 75561153216134800 77549604616559400 78295273891718625 79339210876941540 81427084847387370 83514958817833200 85006297368151650 85950811783353335 88406549262877716 89480313019107000 90474538719319300 92808315063009000 93059525539871280 94451441520168500 95207053052329848 96937005770699250 98229499180975240 99174013596176925 103140974140024002 104393698522291500 105785614502588720 108569446463183160 110508186578597145 113093173399149125 113341729824202200 116324406924839100 117875399017170288 119008816315412310 122786873976219050 125272438226749800 129249341027599000 130283335755819792 132232018128235900 135711808078978950 136010075789042640 137521298853365336 139191598029722000 141677162280252750 145405508656048875 147344248771462860 154711461210036003 155099209233118800 156590547783437250 158678421753883080 162854169694774740 165290022660294875 170012594736303300 171901623566706670 176813098525755432 178960626038214000 180949077438638600 184180310964328575 185616630126018000 188902883040337000 190414106104659696 193874011541398500 196458998361950480 198348027192353850 203567712118468425 206281948280048004 208787397044583000 212515743420379125 217138892926366320 221016373157194290 226186346798298250 226683459648404400 232648813849678200 238017632630824620 245573747952438100 250544876453499600 257852435350060005 258498682055198000 264464036256471800 271423616157957900 275042597706730672 283354324560505500 290811017312097750 294688497542925720 297522040788530775 306967184940547625 309422922420072006 313181095566874500 317356843507766160 325708339389549480 330580045320589750 339279520197447375 340025189472606600 343803247133413340 353626197051510864 361898154877277200 368360621928657150 377805766080674000 387748023082797000 396696054384707700 407135424236936850 412563896560096008 417574794089166000 425031486840758250 429754058916766675 442032746314388580 452372693596596500 465297627699356400 476035265261649240 491147495904876200 495870067980884625 515704870700120010 528928072512943600 542847232315915800 552540932892985725 566708649121011000 581622034624195500 589376995085851440 595044081577061550 613934369881095250 618845844840144012 626362191133749000 651416678779098960 661160090641179500 678559040394894750 680050378945213200 687606494266826680 736721243857314300 773557306050180015 775496046165594000 793392108769415400 814270848473873700 825127793120192016 850062973681516500 859508117833533350 884065492628777160 904745387193193000 920901554821642875 952070530523298480 982294991809752400 991740135961769250 1017838560592342125 1031409741400240020 1085694464631831600 1105081865785971450 1133417298242022000 1163244069248391000 1190088163154123100 1227868739762190500 1237691689680288024 1252724382267498000 1289262176750300025 1322320181282359000 1357118080789789500 1375212988533653360 1473442487714628600 1487610203942653875 1547114612100360030 1586784217538830800 1628541696947747400 1700125947363033000 1719016235667066700 1768130985257554320 1809490774386386000 1841803109643285750 1983480271923538500 2035677121184684250 2062819482800480040 2148770294583833375 2210163731571942900 2326488138496782000 2380176326308246200 2455737479524381000 2475383379360576048 2578524353500600050 2644640362564718000 2714236161579579000 2762704664464928625 2946884975429257200 2975220407885307750 3094229224200720060 3257083393895494800 3400251894726066000 3438032471334133400 3683606219286571500 3867786530250900075 3966960543847077000 4071354242369368500 4125638965600960080 4297540589167666750 4420327463143885800 4760352652616492400 4911474959048762000 5157048707001200100 5428472323159158000 5525409328929857250 5950440815770615500 6188458448401440120 6446310883751500125 6876064942668266800 7367212438573143000 7735573060501800150 7933921087694154000 8142708484738737000 8595081178335333500 8840654926287771600 10314097414002400200 11050818657859714500 11900881631541231000 12376916896802880240 12892621767503000250 14734424877146286000 15471146121003600300 16285416969477474000 17190162356670667000 19338932651254500375 20628194828004800400 22101637315719429000 23801763263082462000 25785243535006000500 30942292242007200600 34380324713341334000 38677865302509000750 44203274631438858000 51570487070012001000 61884584484014401200 77355730605018001500 103140974140024002000 154711461210036003000 309422922420072006000
- Sum of all divisors σ(n): 1400951480793264691200
- Sum of proper divisors (its aliquot sum) s(n): 1091528558373192685200
- 309422922420072006000 is an abundant number, because the sum of its proper divisors (1091528558373192685200) is greater than itself. Its abundance is 782105635953120679200
Bases of 309422922420072006000
- Binary: 1000011000110000110110000110010001100010100111010010011000001011100002
- Hexadecimal: 0x10C61B0C8C53A4C170
- Base-36: 1TAULZRAX5WFW0
Squares and roots of 309422922420072006000
- 309422922420072006000 squared (3094229224200720060002) is 95742544918977899270303554224864036000000
- 309422922420072006000 cubed (3094229224200720060003) is 29624938048765157749299147191385225324001602679776216000000000
-
The
square root of 309422922420072006000 is 17590421325.8259395793 -
The
cube root of 309422922420072006000 is 6763697.2703586379
Scales and comparisons
How big is 309422922420072006000?- 309,422,922,420,072,006,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 309,422,922,420,072,006,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 309422922420072006000 cubic inches would be around 563641.4 feet tall.
Recreational maths with 309422922420072006000
- 309422922420072006000 backwards is 000600270024229224903
- The number of decimal digits it has is: 21
- The sum of 309422922420072006000's digits is 54
- More coming soon!
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"Number 309422922420072006000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 309422922420072006000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/309422922420072006000/
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The information we have on file for 309422922420072006000 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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