2004023069008948
2,004,023,069,008,948 is an even composite number composed of seven prime numbers multiplied together.
2004023069008948 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 2004023069008948:
22 × 132 × 192 × 612 × 89 × 137 × 181
(2 × 2 × 13 × 13 × 19 × 19 × 61 × 61 × 89 × 137 × 181)See below for interesting mathematical facts about the number 2004023069008948 from the Numbermatics database.
Names of 2004023069008948
- Cardinal: 2004023069008948 can be written as Two quadrillion, four trillion, twenty-three billion, sixty-nine million, eight thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 2.004023069008948 × 1015
Factors of 2004023069008948
Divisors of 2004023069008948
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 13 19 26 38 52 61 76 89 122 137 169 178 181 244 247 274 338 356 361 362 494 548 676 722 724 793 988 1157 1159 1444 1586 1691 1781 2314 2318 2353 2603 3172 3211 3382 3439 3562 3721 4628 4636 4693 4706 5206 5429 6422 6764 6878 7124 7442 8357 9386 9412 10309 10412 10858 11041 12193 12844 13756 14884 15041 15067 16109 16714 18772 20618 21716 21983 22021 22082 23153 24386 24797 30082 30134 30589 32129 32218 33428 33839 41236 43966 44042 44164 44707 46306 48373 48772 49457 49594 60164 60268 61009 61178 64258 64436 65341 67678 70577 70699 87932 88084 89414 92612 96746 98914 99188 103151 108641 122018 122356 128516 130682 135356 141154 141398 143533 158509 158783 178828 193492 195871 197828 206302 209417 209779 217282 231667 244036 261364 282308 282796 285779 286273 287066 306071 317018 317566 322361 331169 391742 412604 417677 418834 419558 434564 439907 463334 471143 509777 571558 572546 574132 581191 612142 628849 634036 635132 642941 644722 662338 673501 743773 783484 835354 837668 839116 849433 879814 917501 919087 926668 942286 982649 1019554 1143116 1145092 1162382 1224284 1257698 1285882 1289444 1324676 1340963 1343281 1347002 1412333 1487546 1512617 1670708 1698866 1759628 1835002 1838174 1865929 1884572 1959869 1965298 2039108 2060617 2064179 2206933 2324764 2515396 2571764 2681926 2686562 2694004 2722421 2727127 2824666 2975092 3011671 3016877 3025234 3397732 3670004 3676348 3721549 3731858 3919738 3930596 3978923 3985801 4121234 4128358 4190693 4305197 4401673 4413866 5363852 5373124 5429801 5444842 5454254 5649332 5815349 6023342 6033754 6050468 6124859 6292211 6627101 7443098 7463716 7839476 7957846 7971602 8242468 8256716 8358233 8381386 8610394 8755513 8803346 8827732 8951717 9669049 9685763 10859602 10889684 10908508 11042629 11630698 11948131 12046684 12067508 12249718 12584422 12774437 12796519 13254202 14131687 14886196 15915692 15943204 16716466 16762772 17220788 17432519 17462653 17511026 17606692 17903434 18670331 19338098 19371526 19664021 21719204 22085258 23261396 23896262 24499436 25168844 25478297 25548874 25593038 26508404 26834327 28263374 28690129 28739723 33432932 34865038 34925306 35022052 35452651 35806868 37340662 38676196 38743052 39151723 39219401 39328042 41931727 44170516 45370153 47792524 50956594 51097748 51186076 51725999 51815413 53668654 55967561 56526748 57221749 57380258 57479446 59941589 69730076 69850612 70905302 74681324 75599537 78303446 78438802 78656084 79623167 81798743 83863454 86152313 90740306 92269637 101913188 103451998 103630826 107337308 111935122 113821669 114443498 114760516 114958892 116372321 119552009 119883178 125697637 125914919 134622913 141810604 151199074 156606892 156877604 159246334 163597486 166067681 166354747 167726908 172304626 181480612 183711931 184029497 184539274 206903996 207261652 223870244 227014489 227643338 228886996 232744642 239104018 239766356 242714303 243133861 251395274 251829838 255632273 268502053 269245826 302398148 318492668 327194972 331217861 332135362 332709494 344609252 354736289 367423862 368058994 369078548 372971677 373616399 454028978 455286676 465489284 478208036 485428606 486267722 502790548 503659676 509852213 511264546 537004106 538491652 545112451 546054737 589811989 662435722 664270724 665418988 673600369 709472578 734847724 736117988 743882737 745943354 747232798 779240657 796702813 862032907 908057956 970857212 972535444 982793981 1019704426 1022529092 1063383659 1074008212 1090224902 1092109474 1138890191 1179623978 1199505281 1324871444 1347200738 1418945156 1487765474 1491886708 1494465596 1512840173 1554176117 1558481314 1593405626 1636893947 1724065814 1750097869 1753123103 1965587962 2039408852 2126767318 2162611711 2180449804 2184218948 2277780382 2359247956 2388255103 2392383461 2399010562 2557835347 2694401476 2975530948 3025680346 3108352234 3116962628 3155285939 3160740193 3186811252 3273787894 3448131628 3490526689 3500195738 3506246206 3931175924 4253534636 4325223422 4555560764 4611571757 4776510206 4784766922 4798021124 4857013187 5115670694 6051360692 6216704468 6310571878 6321480386 6547575788 6981053378 7000391476 7012492412 7086461863 7098711581 7667555857 8211997693 8650446844 9223143514 9553020412 9569533844 9714026374 10130128541 10231341388 10357136569 11206427791 12621143756 12642960772 13962106756 14172923726 14197423162 14805572483 15335111714 15593568653 16378625233 16423995386 18446287028 19428052748 20204289521 20260257082 20714273138 21638913629 22412855582 22751272297 22790600339 28345847452 28394846324 29611144966 30670223428 31100984993 31187137306 32757250466 32847990772 33251859511 33309338957 40408579042 40520514164 41089622509 41428546276 43277827258 44825711164 45376846957 45502544594 45581200678 48598871593 59222289932 59950432841 62201969986 62374274612 65514500932 66503719022 66618677914 80817158084 82179245018 86555654516 90753693914 91005089188 91162401356 92283250553 97197743186 106755970009 119900865682 124403939972 133007438044 133237355828 134642775397 145683561283 156027956167 164358490036 181507387828 184566501106 192472442279 194395486372 212922128029 213511940018 239801731364 269285550794 281305877177 291367122566 296277804407 312055912334 369133002212 384944884558 425844256058 427023880036 432274173643 433021406441 538571101588 562611754354 582734245132 592555608814 624111824668 631785330709 769889769116 851688512116 864548347286 866042812882 1125223508708 1185111217628 1263570661418 1387827610117 1729096694572 1732085625764 2028363430171 2527141322836 2767987664377 2775655220234 2964531167173 3656976403301 4056726860342 5535975328754 5551310440468 5629278283733 5929062334346 7313952806602 8113453720684 8213209299217 11071950657508 11258556567466 11858124668692 14627905613204 16426418598434 22517113134932 26368724592223 32852837196868 38538905173249 52737449184446 77077810346498 105474898368892 154155620692996 501005767252237 1002011534504474 2004023069008948
- Sum of all divisors σ(n): 4173528951675720
- Sum of proper divisors (its aliquot sum) s(n): 2169505882666772
- 2004023069008948 is an abundant number, because the sum of its proper divisors (2169505882666772) is greater than itself. Its abundance is 165482813657824
Bases of 2004023069008948
- Binary: 1110001111010100101111110110010011001100100001101002
- Hexadecimal: 0x71EA5FB266434
- Base-36: JQD7HKY1IS
Squares and roots of 2004023069008948
- 2004023069008948 squared (20040230690089482) is 4016108461120042757842904066704
- 2004023069008948 cubed (20040230690089483) is 8048374003726591403493662570225909100164867392
-
The
square root of 2004023069008948 is 44766316.2322850507 -
The
cube root of 2004023069008948 is 126076.5275639507
Scales and comparisons
How big is 2004023069008948?- 2,004,023,069,008,948 seconds is equal to 63,721,734 years, 38 weeks, 4 days, 20 hours, 42 minutes, 28 seconds.
-
To count from 1 to 2,004,023,069,008,948 would take you about one hundred ninety-one million, one hundred sixty-five thousand, two hundred four 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 2004023069008948 cubic inches would be around 10506.4 feet tall.
Recreational maths with 2004023069008948
- 2004023069008948 backwards is 8498009603204002
- The number of decimal digits it has is: 16
- The sum of 2004023069008948's digits is 55
- More coming soon!
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