993390710848844672
993,390,710,848,844,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 993390710848844672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1440 divisors.
993390710848844672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 993390710848844672:
27 × 74 × 132 × 312 × 2713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 13 × 13 × 31 × 31 × 271 × 271 × 271)See below for interesting mathematical facts about the number 993390710848844672 from the Numbermatics database.
Names of 993390710848844672
- Cardinal: 993390710848844672 can be written as Nine hundred ninety-three quadrillion, three hundred ninety trillion, seven hundred ten billion, eight hundred forty-eight million, eight hundred forty-four thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 9.93390710848844672 × 1017
Factors of 993390710848844672
Divisors of 993390710848844672
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 49 52 56 62 64 91 98 104 112 124 128 169 182 196 208 217 224 248 271 338 343 364 392 403 416 434 448 496 542 637 676 686 728 784 806 832 868 896 961 992 1084 1183 1274 1352 1372 1456 1519 1568 1612 1664 1736 1897 1922 1984 2168 2366 2401 2548 2704 2744 2821 2912 3038 3136 3224 3472 3523 3794 3844 3968 4336 4459 4732 4802 5096 5239 5408 5488 5642 5824 6076 6272 6448 6727 6944 7046 7588 7688 8281 8401 8672 8918 9464 9604 10192 10478 10633 10816 10976 11284 11648 12152 12493 12896 13279 13454 13888 14092 15176 15376 16562 16802 17344 17836 18928 19208 19747 20384 20956 21266 21632 21952 22568 24304 24661 24986 25792 26558 26908 27776 28184 30352 30752 31213 33124 33604 34688 35672 36673 37856 38416 39494 40768 41912 42532 43904 45136 45799 47089 48608 49322 49972 51584 53116 53816 56368 57967 58807 60704 61504 62426 66248 67208 71344 73346 73441 74431 75712 76832 78988 81536 83824 85064 87451 90272 91598 92953 94178 97216 98644 99944 106232 107632 109213 112736 115934 117614 121408 123008 124852 132496 134416 138229 142688 146692 146882 148862 151424 153664 157976 162409 167648 170128 172627 174902 180544 183196 185906 188356 194432 197288 199888 212464 215264 218426 225472 231868 235228 242816 249704 256711 260431 264992 268832 276458 285376 293384 293764 297724 307328 315952 320593 324818 329623 335296 340256 345254 349804 361088 366392 371812 376712 394576 399776 405769 411649 424928 430528 436852 450944 463736 470456 499408 513422 514087 520862 529984 537664 552916 570752 586768 587528 595448 612157 631904 641186 649636 650671 659246 670592 680512 690508 699608 732784 743624 753424 764491 789152 799552 811538 823298 849856 861056 873704 927472 940912 954733 967603 998816 1026844 1028174 1041724 1059968 1075328 1105832 1136863 1173536 1175056 1190896 1208389 1224314 1263808 1282372 1299272 1301342 1318492 1361024 1381016 1399216 1419769 1465568 1487248 1506848 1528982 1578304 1599104 1623076 1646596 1699712 1747408 1796977 1823017 1854944 1881824 1909466 1935206 1997632 2053688 2056348 2083448 2211664 2244151 2273726 2276671 2307361 2347072 2350112 2381792 2416778 2448628 2527616 2564744 2598544 2602684 2636984 2762032 2798432 2839538 2881543 2931136 2974496 3013696 3057964 3156608 3246152 3293192 3385603 3494816 3593954 3598609 3646034 3709888 3763648 3818932 3870412 3995264 4107376 4112696 4166896 4285099 4423328 4488302 4547452 4553342 4614722 4694144 4700224 4763584 4833556 4897256 5129488 5197088 5205368 5273968 5351437 5524064 5596864 5679076 5763086 5862272 5948992 6027392 6115928 6492304 6586384 6683131 6771206 6989632 7187908 7197218 7292068 7419776 7527296 7637864 7740824 7958041 8214752 8225392 8333792 8458723 8570198 8846656 8976604 9094904 9106684 9229444 9400448 9527168 9667112 9794512 9938383 10258976 10394176 10410736 10547936 10702874 11048128 11193728 11358152 11526172 11897984 12231856 12411529 12578839 12761119 12984608 13172768 13366262 13542412 13979264 14375816 14394436 14584136 15275728 15481648 15709057 15916082 15936697 16429504 16450784 16667584 16917446 17140396 17693312 17953208 18189808 18213368 18458888 19334224 19589024 19876766 19902511 20170801 20517952 20788352 20821472 21095872 21405748 22096256 22716304 23052344 23699221 24463712 24823058 25157678 25190263 25522238 25969216 26345536 26732524 27084824 28751632 28788872 29168272 29596723 29995693 30551456 30963296 31418114 31832164 31873394 32859008 32901568 33335168 33834892 34280792 35906416 36379616 36426736 36917776 37460059 38668448 39178048 39753532 39805022 40341602 41035904 41642944 42191744 42811496 44012839 45432608 46104688 46781917 47398442 48927424 49646116 50315356 50380526 51044476 51938432 52691072 53465048 54169648 55706287 57503264 57577744 58336544 59193446 59991386 61102912 61926592 62836228 63664328 63746788 65803136 67669784 68561584 69568681 70576801 71812832 72759232 72853472 73835552 74920118 77336896 78356096 79507064 79610044 80683204 83285888 85622992 86880703 88025678 89327833 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8446194422848 8568588255808 8811654758452 9095901686144 9229510841096 9351143825296 9939473213488 10070462581088 10218387002642 10548012389824 10687021514624 10845113548864 11004416772076 11359397958272 11678156574448 11850910369928 12183461426227 12576476310944 12929387635996 13120650766706 13346464656512 13526377784192 13543897565632 13923955915688 14780840239984 14995029447664 15913092475072 16151643971918 16364501694268 16892388845696 17137176511616 17623309516904 18459021682192 18702287650592 19257729351133 19878946426976 20140925162176 20436774005284 21096024779648 21690227097728 22008833544152 22626428362993 23356313148896 23701820739856 24366922852454 25152952621888 25858775271992 26241301533412 27087795131264 27847911831376 28637877964969 29561680479968 29990058895328 31826184950144 32303287943836 32729003388536 35246619033808 35764354509247 36918043364384 37404575301184 38515458702266 39757892853952 40281850324352 40873548010568 44017667088304 45252856725986 45922277683471 46712626297792 47403641479712 48733845704908 50305905243776 51717550543984 52482603066824 55695823662752 57275755929938 59123360959936 59980117790656 64606575887672 65458006777072 70493238067616 71528709018494 73836086728768 74809150602368 77030917404532 79515785707904 81747096021136 85284229983589 88035334176608 90505713451972 91844555366942 93425252595584 94807282959424 97467691409816 103435101087968 104965206133648 111391647325504 114551511859876 118246721919872 119960235581312 129213151775344 130916013554144 140986476135232 143057418036988 147672173457536 154061834809064 158384998540951 163494192042272 170568459967178 176070668353216 181011426903944 183689110733884 189614565918848 194935382819632 206870202175936 209930412267296 222783294651008 229103023719752 250350481564729 258426303550688 261832027108288 281972952270464 286114836073976 308123669618128 316769997081902 326988384084544 341136919934356 352141336706432 362022853807888 367378221467768 389870765639264 413740404351872 419860824534592 458206047439504 500700963129458 516852607101376 523664054216576 572229672147952 596989609885123 616247339236256 633539994163804 653976768169088 682273839868712 724045707615776 734756442935536 779741531278528 839721649069184 916412094879008 1001401926258916 1033705214202752 1108694989786657 1144459344295904 1193979219770246 1232494678472512 1267079988327608 1364547679737424 1448091415231552 1469512885871072 1559483062557056 1832824189758016 2002803852517832 2217389979573314 2288918688591808 2387958439540492 2464989356945024 2534159976655216 2729095359474848 2896182830463104 2939025771742144 3665648379516032 4005607705035664 4434779959146628 4577837377183616 4775916879080984 5068319953310432 5458190718949696 5878051543484288 7760864928506599 8011215410071328 8869559918293256 9551833758161968 10136639906620864 10916381437899392 15521729857013198 16022430820142656 17739119836586512 19103667516323936 20273279813241728 31043459714026396 32044861640285312 35478239673173024 38207335032647872 62086919428052792 70956479346346048 76414670065295744 124173838856105584 141912958692692096 248347677712211168 496695355424422336 993390710848844672
- Sum of all divisors σ(n): 2592788111785493280
- Sum of proper divisors (its aliquot sum) s(n): 1599397400936648608
- 993390710848844672 is an abundant number, because the sum of its proper divisors (1599397400936648608) is greater than itself. Its abundance is 606006690087803936
Bases of 993390710848844672
- Binary: 1101110010010011101110010110100110110101000101110011100000002
- Hexadecimal: 0xDC93B969B517380
- Base-36: 7JPBM8H7BGJK
Squares and roots of 993390710848844672
- 993390710848844672 squared (9933907108488446722) is 986825104400772923516131517182787584
- 993390710848844672 cubed (9933907108488446723) is 980302891944169171106905433116118302260830330786152448
-
The
square root of 993390710848844672 is 996689876.9671761205 -
The
cube root of 993390710848844672 is 997792.0320819925
Scales and comparisons
How big is 993390710848844672?- 993,390,710,848,844,672 seconds is equal to 31,586,751,845 years, 40 weeks, 1 day, 15 hours, 4 minutes, 32 seconds.
-
To count from 1 to 993,390,710,848,844,672 would take you about ninety-four billion, seven hundred sixty million, two hundred fifty-five thousand, five hundred thirty-seven 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 993390710848844672 cubic inches would be around 83149.3 feet tall.
Recreational maths with 993390710848844672
- 993390710848844672 backwards is 276448848017093399
- The number of decimal digits it has is: 18
- The sum of 993390710848844672's digits is 92
- More coming soon!
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"Number 993390710848844672 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 993390710848844672 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/993390710848844672/
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Numbermatics. 2024. "Number 993390710848844672 - Facts about the integer". https://numbermatics.com/n/993390710848844672/
The information we have on file for 993390710848844672 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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