42213444648960
42,213,444,648,960 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42213444648960 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1024 divisors.
42213444648960 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 42213444648960:
215 × 3 × 5 × 13 × 17 × 229 × 1697
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 17 × 229 × 1697)See below for interesting mathematical facts about the number 42213444648960 from the Numbermatics database.
Names of 42213444648960
- Cardinal: 42213444648960 can be written as Forty-two trillion, two hundred thirteen billion, four hundred forty-four million, six hundred forty-eight thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 4.221344464896 × 1013
Factors of 42213444648960
Divisors of 42213444648960
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 32 34 39 40 48 51 52 60 64 65 68 78 80 85 96 102 104 120 128 130 136 156 160 170 192 195 204 208 221 229 240 255 256 260 272 312 320 340 384 390 408 416 442 458 480 510 512 520 544 624 640 663 680 687 768 780 816 832 884 916 960 1020 1024 1040 1088 1105 1145 1248 1280 1326 1360 1374 1536 1560 1632 1664 1697 1768 1832 1920 2040 2048 2080 2176 2210 2290 2496 2560 2652 2720 2748 2977 3072 3120 3264 3315 3328 3394 3435 3536 3664 3840 3893 4080 4096 4160 4352 4420 4580 4992 5091 5120 5304 5440 5496 5954 6144 6240 6528 6630 6656 6788 6870 7072 7328 7680 7786 8160 8192 8320 8485 8704 8840 8931 9160 9984 10182 10240 10608 10880 10992 11679 11908 12288 12480 13056 13260 13312 13576 13740 14144 14656 14885 15360 15572 16320 16384 16640 16970 17408 17680 17862 18320 19465 19968 20364 20480 21216 21760 21984 22061 23358 23816 24576 24960 25455 26112 26520 26624 27152 27480 28288 28849 29312 29770 30720 31144 32640 32768 33280 33940 34816 35360 35724 36640 38930 39936 40728 40960 42432 43520 43968 44122 44655 46716 47632 49152 49920 50609 50910 52224 53040 53248 54304 54960 56576 57698 58395 58624 59540 61440 62288 65280 66183 66560 67880 69632 70720 71448 73280 77860 79872 81456 81920 84864 86547 87040 87936 88244 89310 93432 95264 98304 99840 101218 101820 104448 106080 106496 108608 109920 110305 113152 115396 116790 117248 119080 122880 124576 130560 132366 133120 135760 139264 141440 142896 144245 146560 151827 155720 159744 162912 163840 169728 173094 174080 175872 176488 178620 186864 190528 199680 202436 203640 208896 212160 212992 217216 219840 220610 226304 230792 233580 234496 238160 245760 249152 253045 261120 264732 266240 271520 278528 282880 285792 288490 293120 303654 311440 319488 325824 330915 339456 346188 348160 351744 352976 357240 373728 375037 381056 388613 399360 404872 407280 417792 424320 425984 432735 434432 439680 441220 452608 461584 467160 468992 476320 491520 498304 506090 522240 529464 532480 543040 557056 565760 571584 576980 586240 607308 622880 638976 651648 661830 678912 692376 696320 703488 705952 714480 747456 750074 759135 762112 777226 798720 809744 814560 835584 848640 865470 868864 879360 882440 905216 923168 934320 937984 952640 996608 1012180 1044480 1058928 1064960 1086080 1125111 1131520 1143168 1153960 1165839 1172480 1214616 1245760 1277952 1303296 1323660 1357824 1384752 1392640 1406976 1411904 1428960 1494912 1500148 1518270 1524224 1554452 1597440 1619488 1629120 1671168 1697280 1730940 1737728 1758720 1764880 1810432 1846336 1868640 1875185 1875968 1905280 1943065 1993216 2024360 2088960 2117856 2129920 2172160 2250222 2263040 2286336 2307920 2331678 2344960 2429232 2491520 2606592 2647320 2715648 2769504 2785280 2813952 2823808 2857920 2989824 3000296 3036540 3048448 3108904 3194880 3238976 3258240 3394560 3461880 3475456 3517440 3529760 3620864 3692672 3737280 3750370 3751936 3810560 3886130 3986432 4048720 4177920 4235712 4344320 4500444 4526080 4572672 4615840 4663356 4689920 4858464 4983040 5051969 5213184 5294640 5431296 5539008 5625555 5627904 5647616 5715840 5829195 5979648 6000592 6073080 6096896 6217808 6389760 6477952 6516480 6606421 6789120 6923760 6950912 7034880 7059520 7241728 7385344 7474560 7500740 7503872 7621120 7772260 7972864 8097440 8355840 8471424 8688640 9000888 9052160 9145344 9231680 9326712 9379840 9716928 9966080 10103938 10426368 10589280 10862592 11078016 11251110 11255808 11295232 11431680 11658390 11959296 12001184 12146160 12193792 12435616 12955904 13032960 13212842 13578240 13847520 13901824 14069760 14119040 14770688 14949120 15001480 15155907 15242240 15544520 15945728 16194880 16942848 17377280 18001776 18104320 18290688 18463360 18653424 18759680 19433856 19819263 19932160 20207876 20852736 21178560 21725184 22156032 22502220 22511616 22590464 22863360 23316780 23918592 24002368 24292320 24387584 24871232 25259845 25911808 26065920 26425684 27156480 27695040 27803648 28139520 28238080 29541376 29898240 30002960 30311814 30484480 31089040 31891456 32389760 33032105 33885696 34754560 36003552 36208640 36581376 36926720 37306848 37519360 38867712 39638526 39864320 40415752 41705472 42357120 44312064 45004440 45180928 45726720 46633560 47837184 48004736 48584640 48775168 49742464 50519690 51823616 52131840 52851368 54312960 55390080 55607296 56279040 56476160 59082752 59796480 60005920 60623628 60968960 62178080 63782912 64779520 66064210 67771392 69509120 72007104 73162752 73853440 74613696 75779535 77735424 79277052 79728640 80831504 83410944 84714240 85883473 88624128 90008880 90361856 91453440 93267120 95674368 96009472 97169280 97550336 99096315 99484928 101039380 103647232 104263680 105702736 108625920 110780160 112558080 112952320 118165504 119592960 120011840 121247256 121937920 124356160 127565824 129559040 132128420 135542784 139018240 144014208 146325504 147706880 149227392 151559070 155470848 158554104 159457280 161663008 166821888 169428480 171766946 177248256 180017760 180723712 182906880 186534240 191348736 192018944 194338560 198192630 198969856 202078760 207294464 208527360 211405472 221560320 225904640 236331008 239185920 240023680 242494512 243875840 248712320 257650419 259118080 264256840 271085568 278036480 288028416 292651008 295413760 298454784 303118140 310941696 317108208 318914560 323326016 338856960 343533892 354496512 360035520 361447424 365813760 373068480 382697472 384037888 388677120 396385260 397939712 404157520 414588928 417054720 422810944 429417365 443120640 451809280 472662016 478371840 480047360 484989024 487751680 497424640 515300838 518236160 528513680 542171136 576056832 590827520 596909568 606236280 621883392 634216416 637829120 646652032 677713920 687067784 708993024 720071040 722894848 731627520 746136960 768075776 777354240 792770520 795879424 808315040 829177856 834109440 845621888 858834730 886241280 903618560 945324032 956743680 960094720 969978048 994849280 1030601676 1036472320 1057027360 1084342272 1152113664 1181655040 1193819136 1212472560 1243766784 1268432832 1288252095 1293304064 1355427840 1374135568 1417986048 1440142080 1463255040 1492273920 1536151552 1554708480 1585541040 1591758848 1616630080 1658355712 1691243776 1717669460 1772482560 1807237120 1913487360 1920189440 1939956096 1989698560 2061203352 2072944640 2114054720 2168684544 2304227328 2363310080 2387638272 2424945120 2487533568 2536865664 2576504190 2586608128 2710855680 2748271136 2835972096 2880284160 2984547840 3072303104 3109416960 3171082080 3183517696 3233260160 3382487552 3435338920 3544965120 3614474240 3840378880 3879912192 3979397120 4122406704 4145889280 4228109440 4608454656 4726620160 4775276544 4849890240 4975067136 5073731328 5153008380 5173216256 5421711360 5496542272 5760568320 5969095680 6144606208 6218833920 6342164160 6367035392 6466520320 6764975104 6870677840 7089930240 7680757760 7759824384 7958794240 8244813408 8291778560 8456218880 9216909312 9550553088 9699780480 10147462656 10306016760 10346432512 10843422720 10993084544 11521136640 11938191360 12289212416 12437667840 12684328320 12734070784 12933040640 13529950208 13741355680 14179860480 15361515520 15519648768 15917588480 16489626816 16912437760 18433818624 19101106176 19399560960 20294925312 20612033520 20692865024 21986169088 23042273280 23876382720 24875335680 25368656640 25866081280 27059900416 27482711360 30723031040 31039297536 31835176960 32979253632 33824875520 36867637248 38202212352 38799121920 40589850624 41224067040 41385730048 43972338176 46084546560 47752765440 50737313280 51732162560 54119800832 54965422720 61446062080 62078595072 63670353920 65958507264 67649751040 77598243840 81179701248 82448134080 82771460096 87944676352 92169093120 95505530880 101474626560 103464325120 108239601664 109930845440 124157190144 131917014528 135299502080 155196487680 162359402496 164896268160 165542920192 175889352704 184338186240 191011061760 202949253120 206928650240 216479203328 219861690880 248314380288 263834029056 270599004160 310392975360 324718804992 329792536320 351778705408 405898506240 413857300480 439723381760 496628760576 527668058112 541198008320 620785950720 649437609984 659585072640 703557410816 811797012480 827714600960 879446763520 1055336116224 1082396016640 1241571901440 1319170145280 1407114821632 1623594024960 1758893527040 2110672232448 2483143802880 2638340290560 2814229643264 3247188049920 3517787054080 4221344464896 5276680581120 7035574108160 8442688929792 10553361162240 14071148216320 21106722324480 42213444648960
- Sum of all divisors σ(n): 154792747267200
- Sum of proper divisors (its aliquot sum) s(n): 112579302618240
- 42213444648960 is an abundant number, because the sum of its proper divisors (112579302618240) is greater than itself. Its abundance is 70365857969280
Bases of 42213444648960
- Binary: 10011001100100100101010101111110000000000000002
- Hexadecimal: 0x2664955F8000
- Base-36: EYOL70WLC
Squares and roots of 42213444648960
- 42213444648960 squared (422134446489602) is 1781974909130809657629081600
- 42213444648960 cubed (422134446489603) is 75223299192428959186514644307999195136000
-
The
square root of 42213444648960 is 6497187.4414210953 -
The
cube root of 42213444648960 is 34819.0510500197
Scales and comparisons
How big is 42213444648960?- 42,213,444,648,960 seconds is equal to 1,342,256 years, 50 weeks, 1 day, 6 hours, 56 minutes.
-
To count from 1 to 42,213,444,648,960 would take you about three million, three hundred fifty-five thousand, six hundred forty-two 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 42213444648960 cubic inches would be around 2901.6 feet tall.
Recreational maths with 42213444648960
- 42213444648960 backwards is 06984644431224
- The number of decimal digits it has is: 14
- The sum of 42213444648960's digits is 57
- More coming soon!
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The information we have on file for 42213444648960 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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