345323083399168
345,323,083,399,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 345323083399168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 960 divisors.
345323083399168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 345323083399168:
219 × 7 × 19 × 41 × 43 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 19 × 41 × 43 × 53 × 53)See below for interesting mathematical facts about the number 345323083399168 from the Numbermatics database.
Names of 345323083399168
- Cardinal: 345323083399168 can be written as Three hundred forty-five trillion, three hundred twenty-three billion, eighty-three million, three hundred ninety-nine thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 3.45323083399168 × 1014
Factors of 345323083399168
Divisors of 345323083399168
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 14 16 19 28 32 38 41 43 53 56 64 76 82 86 106 112 128 133 152 164 172 212 224 256 266 287 301 304 328 344 371 424 448 512 532 574 602 608 656 688 742 779 817 848 896 1007 1024 1064 1148 1204 1216 1312 1376 1484 1558 1634 1696 1763 1792 2014 2048 2128 2173 2279 2296 2408 2432 2624 2752 2809 2968 3116 3268 3392 3526 3584 4028 4096 4256 4346 4558 4592 4816 4864 5248 5453 5504 5618 5719 5936 6232 6536 6784 7049 7052 7168 8056 8192 8512 8692 9116 9184 9632 9728 10496 10906 11008 11236 11438 11872 12341 12464 13072 13568 14098 14104 14336 15211 15953 16112 16384 17024 17384 18232 18368 19264 19456 19663 20992 21812 22016 22472 22876 23744 24682 24928 26144 27136 28196 28208 28672 30422 31906 32224 32768 33497 34048 34768 36464 36736 38528 38912 39326 41287 41984 43301 43624 44032 44944 45752 47488 49364 49856 52288 53371 54272 56392 56416 57344 60844 63812 64448 65536 66994 68096 69536 72928 73472 77056 77824 78652 82574 83968 86602 87248 88064 89888 91504 93439 94976 98728 99712 104576 106742 108544 112784 112832 114688 115169 120787 121688 127624 128896 131072 133988 136192 139072 145856 146944 154112 155648 157304 165148 167936 173204 174496 176128 179776 183008 186878 189952 197456 199424 209152 213484 217088 225568 225664 229376 230338 234479 241574 243376 255248 257792 262144 267976 272384 278144 289009 291712 293888 303107 308224 311296 314608 330296 335872 346408 348992 352256 359552 366016 373597 373756 379904 394912 398848 418304 426968 434176 451136 451328 458752 460676 468958 483148 486752 510496 515584 524288 535952 544768 556288 578018 583424 587776 606214 616448 622592 629216 654073 660592 671744 692816 697984 704512 719104 732032 747194 747512 759808 789824 797696 806183 836608 845509 853936 868352 902272 902656 917504 921352 937916 966296 973504 1020992 1031168 1071904 1089536 1112576 1156036 1166848 1175552 1212428 1232896 1245184 1258432 1308146 1321184 1343488 1385632 1395968 1409024 1438208 1464064 1494388 1495024 1519616 1579648 1595392 1612366 1673216 1691018 1707872 1736704 1775341 1804544 1805312 1835008 1842704 1875832 1932592 1947008 2041984 2062336 2143808 2179072 2188211 2225152 2294953 2312072 2333696 2351104 2424856 2465792 2490368 2516864 2616292 2642368 2686976 2771264 2791936 2818048 2876416 2928128 2988776 2990048 3039232 3159296 3190784 3224732 3346432 3382036 3415744 3473408 3550682 3609088 3610624 3670016 3685408 3751664 3865184 3894016 4083968 4124672 4287616 4358144 4376422 4450304 4589906 4624144 4667392 4702208 4849712 4931584 4952267 4980736 5033728 5232584 5284736 5373952 5542528 5583872 5636096 5752832 5856256 5977552 5980096 6078464 6318592 6381568 6449464 6692864 6764072 6831488 6946816 7101364 7218176 7221248 7370816 7503328 7730368 7788032 8167936 8249344 8575232 8716288 8752844 8900608 9179812 9248288 9334784 9404416 9699424 9863168 9904534 9961472 10067456 10465168 10569472 10747904 11085056 11167744 11272192 11505664 11712512 11955104 11960192 12156928 12427387 12637184 12763136 12898928 13385728 13528144 13662976 13893632 14202728 14436352 14442496 14741632 15006656 15317477 15460736 15576064 16064671 16335872 16498688 17150464 17432576 17505688 17801216 18359624 18496576 18669568 18808832 19398848 19726336 19809068 20134912 20930336 21138944 21495808 22170112 22335488 22544384 23011328 23425024 23910208 23920384 24313856 24854774 25274368 25526272 25797856 26771456 27056288 27325952 27787264 28405456 28872704 28884992 29483264 30013312 30634954 30921472 31152128 32129342 32671744 32997376 34300928 34665869 34865152 35011376 35602432 36719248 36993152 37339136 37617664 38797696 39452672 39618136 40269824 41860672 42277888 44340224 44670976 46022656 46850048 47820416 47840768 48627712 49709548 50548736 51052544 51595712 53542912 54112576 54651904 56810912 57745408 57769984 58966528 60026624 61269908 61842944 62304256 64258684 65343488 65994752 68601856 69331738 69730304 70022752 71204864 73438496 73986304 74678272 75235328 77595392 78905344 79236272 80539648 83721344 84555776 88680448 89341952 92045312 93700096 94093073 95640832 95681536 97255424 99419096 101097472 102105088 103191424 107085824 108225152 109303808 113621824 115490816 115539968 117933056 120053248 122539816 123685888 124608512 128517368 130686976 131989504 137203712 138663476 140045504 142409728 146876992 147972608 149356544 150470656 155190784 157810688 158472544 161079296 167442688 169111552 177360896 178683904 184090624 187400192 188186146 191281664 191363072 194510848 198838192 202194944 204210176 206382848 214171648 216450304 218607616 227243648 230981632 231079936 235866112 240106496 245079632 247371776 249217024 257034736 261373952 263979008 274407424 277326952 280091008 284819456 293753984 295945216 298713088 310381568 316945088 322158592 334885376 338223104 354721792 357367808 368181248 374800384 376372292 382563328 382726144 397676384 404389888 408420352 412765696 428343296 432900608 437215232 454487296 461963264 462159872 471732224 480212992 490159264 494743552 498434048 514069472 522747904 527958016 548814848 554653904 560182016 569638912 587507968 591890432 597426176 620763136 633890176 644317184 658651511 669770752 676446208 709443584 714735616 736362496 749600768 752744584 765126656 765452288 795352768 808779776 825531392 865801216 874430464 908974592 923926528 924319744 943464448 960425984 980318528 989487104 996868096 1028138944 1045495808 1097629696 1109307808 1120364032 1139277824 1175015936 1183780864 1194852352 1241526272 1267780352 1288634368 1317303022 1339541504 1352892416 1418887168 1429471232 1472724992 1499201536 1505489168 1530253312 1530904576 1590705536 1617559552 1651062784 1731602432 1748860928 1817949184 1847853056 1886928896 1920851968 1960637056 1978974208 1993736192 2056277888 2090991616 2195259392 2218615616 2240728064 2350031872 2367561728 2483052544 2535560704 2577268736 2634606044 2679083008 2705784832 2837774336 2858942464 2998403072 3010978336 3060506624 3061809152 3181411072 3235119104 3302125568 3463204864 3497721856 3635898368 3695706112 3773857792 3841703936 3921274112 3957948416 3987472384 4112555776 4181983232 4390518784 4437231232 4481456128 4700063744 4735123456 4966105088 5071121408 5154537472 5269212088 5358166016 5411569664 5675548672 6021956672 6121013248 6123618304 6362822144 6470238208 6604251136 6926409728 6995443712 7271796736 7547715584 7683407872 7842548224 7915896832 7974944768 8225111552 8363966464 8781037568 8874462464 8962912256 9400127488 9470246912 9932210176 10142242816 10309074944 10538424176 10716332032 10823139328 11351097344 12043913344 12242026496 12247236608 12725644288 13208502272 13852819456 13990887424 14543593472 15095431168 15366815744 15685096448 15831793664 16450223104 17562075136 17748924928 17925824512 18800254976 18940493824 19864420352 20284485632 21076848352 21432664064 21646278656 22702194688 24087826688 24484052992 24494473216 25451288576 26417004544 27705638912 27981774848 29087186944 30190862336 30733631488 31370192896 31663587328 32900446208 35497849856 35851649024 37600509952 37880987648 39728840704 40568971264 42153696704 42865328128 48175653376 48968105984 48988946432 50902577152 52834009088 55411277824 58174373888 60381724672 61467262976 62740385792 63327174656 65800892416 70995699712 71703298048 75201019904 75761975296 79457681408 81137942528 84307393408 85730656256 96351306752 97936211968 101805154304 105668018176 110822555648 116348747776 122934525952 125480771584 131601784832 141991399424 143406596096 150402039808 151523950592 158915362816 162275885056 168614786816 171461312512 192702613504 195872423936 203610308608 211336036352 221645111296 232697495552 250961543168 263203569664 283982798848 286813192192 300804079616 324551770112 337229573632 342922625024 385405227008 407220617216 422672072704 443290222592 465394991104 501923086336 526407139328 567965597696 573626384384 601608159232 649103540224 674459147264 770810454016 814441234432 930789982208 1003846172672 1052814278656 1135931195392 1147252768768 1203216318464 1298207080448 1348918294528 1541620908032 1628882468864 2007692345344 2105628557312 2271862390784 2596414160896 2697836589056 3083241816064 3257764937728 4015384690688 4211257114624 4543724781568 5395673178112 6166483632128 6515529875456 8030769381376 8422514229248 9087449563136 10791346356224 12332967264256 18174899126272 21582692712448 24665934528512 43165385424896 49331869057024 86330770849792 172661541699584 345323083399168
- Sum of all divisors σ(n): 887652124128000
- Sum of proper divisors (its aliquot sum) s(n): 542329040728832
- 345323083399168 is an abundant number, because the sum of its proper divisors (542329040728832) is greater than itself. Its abundance is 197005957329664
Bases of 345323083399168
- Binary: 10011101000010001110010111011100000000000000000002
- Hexadecimal: 0x13A11CBB80000
- Base-36: 3EEN8FVLZ4
Squares and roots of 345323083399168
- 345323083399168 squared (3453230833991682) is 119248031928308737949223092224
- 345323083399168 cubed (3453230833991683) is 41179098074766006773223957971300489868869632
-
The
square root of 345323083399168 is 18582870.6985537625 -
The
cube root of 345323083399168 is 70157.6774436703
Scales and comparisons
How big is 345323083399168?- 345,323,083,399,168 seconds is equal to 10,980,205 years, 46 weeks, 4 days, 17 hours, 59 minutes, 28 seconds.
-
To count from 1 to 345,323,083,399,168 would take you about twenty-seven million, four hundred fifty thousand, five hundred fourteen 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 345323083399168 cubic inches would be around 5846.5 feet tall.
Recreational maths with 345323083399168
- 345323083399168 backwards is 861993380323543
- The number of decimal digits it has is: 15
- The sum of 345323083399168's digits is 67
- More coming soon!
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The information we have on file for 345323083399168 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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