83423984785531342400
83,423,984,785,531,342,400 is an even composite number composed of six prime numbers multiplied together.
83423984785531342400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 83423984785531342400:
26 × 52 × 73 × 67 × 151 × 15025366619
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 67 × 151 × 15025366619)See below for interesting mathematical facts about the number 83423984785531342400 from the Numbermatics database.
Names of 83423984785531342400
- Cardinal: 83423984785531342400 can be written as Eighty-three quintillion, four hundred twenty-three quadrillion, nine hundred eighty-four trillion, seven hundred eighty-five billion, five hundred thirty-one million, three hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 8.34239847855313424 × 1019
Factors of 83423984785531342400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 15025366851
Divisors of 83423984785531342400
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 67 70 80 98 100 112 134 140 151 160 175 196 200 224 245 268 280 302 320 335 343 350 392 400 448 469 490 536 560 604 670 686 700 755 784 800 938 980 1057 1072 1120 1208 1225 1340 1372 1400 1510 1568 1600 1675 1715 1876 1960 2114 2144 2240 2345 2416 2450 2680 2744 2800 3020 3136 3283 3350 3430 3752 3775 3920 4228 4288 4690 4832 4900 5285 5360 5488 5600 6040 6566 6700 6860 7399 7504 7550 7840 8456 8575 9380 9664 9800 10117 10570 10720 10976 11200 11725 12080 13132 13400 13720 14798 15008 15100 15680 16415 16912 17150 18760 19600 20234 21140 21440 21952 22981 23450 24160 26264 26425 26800 27440 29596 30016 30200 32830 33824 34300 36995 37520 39200 40468 42280 45962 46900 48320 50585 51793 52528 52850 53600 54880 59192 60400 65660 67648 68600 70819 73990 75040 78400 80936 82075 84560 91924 93800 101170 103586 105056 105700 107200 109760 114905 118384 120800 131320 137200 141638 147980 150080 161872 164150 169120 183848 184975 187600 202340 207172 210112 211400 229810 236768 241600 252925 258965 262640 274400 283276 295960 323744 328300 338240 354095 367696 369950 375200 404680 414344 422800 459620 473536 495733 505850 517930 525280 548800 566552 574525 591920 647488 656600 708190 735392 739900 750400 809360 828688 845600 919240 991466 1011700 1035860 1050560 1133104 1149050 1183840 1294825 1313200 1416380 1470784 1479800 1618720 1657376 1691200 1770475 1838480 1982932 2023400 2071720 2266208 2298100 2367680 2478665 2589650 2626400 2832760 2959600 3237440 3314752 3470131 3540950 3676960 3965864 4046800 4143440 4532416 4596200 4957330 5179300 5252800 5665520 5919200 6940262 7081900 7353920 7931728 8093600 8286880 9192400 9914660 10358600 11331040 11838400 12393325 13880524 14163800 15863456 16187200 16573760 17350655 18384800 19829320 20717200 22662080 24786650 27761048 28327600 31726912 34701310 36769600 39658640 41434400 49573300 55522096 56655200 69402620 79317280 82868800 86753275 99146600 111044192 113310400 138805240 158634560 173506550 198293200 222088384 277610480 347013100 396586400 555220960 694026200 793172800 1110441920 1388052400 2776104800 5552209600 15025366619 30050733238 60101466476 75126833095 105177566333 120202932952 150253666190 210355132666 240405865904 300507332380 375634165475 420710265332 480811731808 525887831665 601014664760 736242964331 751268330950 841420530664 961623463616 1006699563473 1051775663330 1202029329520 1472485928662 1502536661900 1682841061328 2013399126946 2103551326660 2268830359469 2404058659040 2629439158325 2944971857324 3005073323800 3365682122656 3681214821655 4026798253892 4207102653320 4537660718938 4808117318080 5033497817365 5153700750317 5258878316650 5889943714648 6010146647600 6731364245312 7046896944311 7362429643310 8053596507784 8414205306640 9075321437876 10066995634730 10307401500634 10517756633300 11344151797345 11779887429296 12020293295200 14093793888622 14724859286620 15881812516283 16107193015568 16828410613280 18150642875752 18406074108275 20133991269460 20614803001268 21035513266600 22688303594690 23559774858592 24040586590400 25167489086825 25768503751585 28187587777244 29449718573240 31763625032566 32214386031136 33656821226560 35234484721555 36301285751504 36812148216550 40267982538920 41229606002536 42071026533200 45376607189380 47119549717184 49328278610177 50334978173650 51537007503170 56375175554488 56720758986725 58899437146480 63527250065132 64428772062272 70468969443110 72602571503008 73624296433100 79409062581415 80535965077840 82459212005072 84142053066400 90753214378760 98656557220354 100669956347300 103074015006340 111172687613981 112750351108976 113441517973450 117798874292960 127054500130264 128842518757925 140937938886220 145205143006016 147248592866200 152011634084423 158818125162830 161071930155680 164918424010144 168284106132800 176172423607775 181506428757520 197313114440708 201339912694600 206148030012680 222345375227962 225500702217952 226883035946900 235597748585920 246641393050885 254109000260528 257685037515850 281875877772440 294497185732400 304023268168846 317636250325660 322143860311360 329836848020288 345297950271239 352344847215550 363012857515040 394626228881416 397045312907075 402679825389200 412296060025360 444690750455924 451001404435904 453766071893800 493282786101770 508218000521056 515370075031700 555863438069905 563751755544880 588994371464800 608046536337692 635272500651320 690595900542478 704689694431100 726025715030080 760058170422115 778208813297867 789252457762832 794090625814150 805359650778400 824592120050720 889381500911848 907532143787600 986565572203540 1016436001042112 1030740150063400 1064081438590961 1111726876139810 1127503511089760 1177988742929600 1216093072675384 1233206965254425 1270545001302640 1381191801084956 1409379388862200 1520116340844230 1556417626595734 1578504915525664 1588181251628300 1610719301556800 1649184240101440 1726489751356195 1778763001823696 1815064287575200 1973131144407080 2061480300126800 2128162877181922 2223453752279620 2255007022179520 2432186145350768 2466413930508850 2541090002605280 2762383602169912 2779317190349525 2818758777724400 3040232681688460 3112835253191468 3157009831051328 3176362503256600 3452979502712390 3557526003647392 3630128575150400 3800290852110575 3891044066489335 3946262288814160 4122960600253600 4256325754363844 4446907504559240 4864372290701536 4932827861017700 5082180005210560 5320407192954805 5524767204339824 5558634380699050 5637517555448800 6080465363376920 6225670506382936 6352725006513200 6905959005424780 7115052007294784 7448570070136727 7600581704221150 7782088132978670 7892524577628320 8245921200507200 8512651508727688 8632448756780975 8893815009118480 9728744581403072 9865655722035400 10640814385909610 11049534408679648 11117268761398100 11275035110897600 12160930726753840 12451341012765872 12705450013026400 13811918010849560 14897140140273454 15201163408442300 15564176265957340 15785049155256640 17025303017455376 17264897513561950 17787630018236960 19455220332446675 19731311444070800 21281628771819220 22099068817359296 22234537522796200 24321861453507680 24902682025531744 25410900026052800 26602035964774025 27623836021699120 29794280280546908 30402326816884600 31128352531914680 34050606034910752 34529795027123900 35575260036473920 37242850350683635 38910440664893350 39462622888141600 42563257543638440 44469075045592400 48643722907015360 49805364051063488 52139990490957089 53204071929548050 55247672043398240 59588560561093816 60804653633769200 62256705063829360 68101212069821504 69059590054247800 74485700701367270 77820881329786700 78925245776283200 85126515087276880 88938150091184800 104279980981914178 106408143859096100 110495344086796480 119177121122187632 121609307267538400 124513410127658720 138119180108495600 148971401402734540 155641762659573400 170253030174553760 177876300182369600 186214251753418175 208559961963828356 212816287718192200 238354242244375264 243218614535076800 249026820255317440 260699952454785445 276238360216991200 297942802805469080 311283525319146800 340506060349107520 372428503506836350 417119923927656712 425632575436384400 476708484488750528 521399904909570890 552476720433982400 595885605610938160 622567050638293600 744857007013672700 834239847855313424 851265150872768800 1042799809819141780 1191771211221876320 1245134101276587200 1303499762273927225 1489714014027345400 1668479695710626848 1702530301745537600 2085599619638283560 2383542422443752640 2606999524547854450 2979428028054690800 3336959391421253696 4171199239276567120 5213999049095708900 5958856056109381600 8342398478553134240 10427998098191417800 11917712112218763200 16684796957106268480 20855996196382835600 41711992392765671200 83423984785531342400
- Sum of all divisors σ(n): 244569887842427136000
- Sum of proper divisors (its aliquot sum) s(n): 161145903056895793600
- 83423984785531342400 is an abundant number, because the sum of its proper divisors (161145903056895793600) is greater than itself. Its abundance is 77721918271364451200
Bases of 83423984785531342400
- Binary: 10010000101101111011000100000101001110010010011000000001110010000002
- Hexadecimal: 0x485BD8829C9300E40
- Base-36: HLTDYINDK5WZK
Squares and roots of 83423984785531342400
- 83423984785531342400 squared (834239847855313424002) is 6959561237496564896811733092746037760000
- 83423984785531342400 cubed (834239847855313424003) is 580594330790887111412265511322754146568934583893889024000000
-
The
square root of 83423984785531342400 is 9133673126.7070939777 -
The
cube root of 83423984785531342400 is 4369485.5764783417
Scales and comparisons
How big is 83423984785531342400?- 83,423,984,785,531,342,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 83,423,984,785,531,342,400 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 83423984785531342400 cubic inches would be around 364123.8 feet tall.
Recreational maths with 83423984785531342400
- 83423984785531342400 backwards is 00424313558748932438
- The number of decimal digits it has is: 20
- The sum of 83423984785531342400's digits is 83
- More coming soon!
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The information we have on file for 83423984785531342400 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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