10427440913415680
10,427,440,913,415,680 is an even composite number composed of eight prime numbers multiplied together.
10427440913415680 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 10427440913415680:
29 × 5 × 72 × 11 × 41 × 73 × 809 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 11 × 41 × 73 × 809 × 3121)See below for interesting mathematical facts about the number 10427440913415680 from the Numbermatics database.
Names of 10427440913415680
- Cardinal: 10427440913415680 can be written as Ten quadrillion, four hundred twenty-seven trillion, four hundred forty billion, nine hundred thirteen million, four hundred fifteen thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.042744091341568 × 1016
Factors of 10427440913415680
Divisors of 10427440913415680
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 41 44 49 55 56 64 70 73 77 80 82 88 98 110 112 128 140 146 154 160 164 176 196 205 220 224 245 256 280 287 292 308 320 328 352 365 385 392 410 440 448 451 490 511 512 539 560 574 584 616 640 656 704 730 770 784 803 809 820 880 896 902 980 1022 1078 1120 1148 1168 1232 1280 1312 1408 1435 1460 1540 1568 1606 1618 1640 1760 1792 1804 1960 2009 2044 2156 2240 2255 2296 2336 2464 2555 2560 2624 2695 2816 2870 2920 2993 3080 3121 3136 3157 3212 3236 3280 3520 3577 3584 3608 3920 4015 4018 4045 4088 4312 4480 4510 4592 4672 4928 5110 5248 5390 5621 5632 5663 5740 5840 5986 6160 6242 6272 6314 6424 6472 6560 7040 7154 7216 7840 8030 8036 8090 8176 8624 8899 8960 9020 9184 9344 9856 10045 10220 10496 10780 11242 11326 11480 11680 11972 12320 12484 12544 12628 12848 12944 13120 14080 14308 14432 14965 15605 15680 15785 16060 16072 16180 16352 17248 17798 17885 17920 18040 18368 18688 19712 20090 20440 20951 20992 21560 21847 22099 22484 22652 22960 23360 23944 24640 24968 25088 25256 25696 25888 26240 28105 28160 28315 28616 28864 29930 31210 31360 31570 32120 32144 32360 32704 32923 33169 34331 34496 35596 35770 36080 36736 37376 39347 39424 39641 40180 40880 41902 43120 43694 44198 44495 44968 45304 45920 46720 47888 49280 49936 50512 51392 51776 52480 56210 56630 57232 57728 59057 59860 62293 62420 62720 63140 64240 64288 64720 65408 65846 66338 68662 68992 71192 71540 72160 73472 78694 79282 80360 81760 83804 86240 87388 88396 88990 89936 90608 91840 93440 95776 98560 99872 101024 102784 103552 104755 104960 109235 110495 112420 113260 114464 115456 118114 119720 124586 124840 125440 126280 127961 128480 128576 129440 130816 131692 132676 137324 137984 142384 143080 144320 146657 146944 152929 157388 158564 160720 163520 164615 165845 167608 171655 172480 174776 176792 177980 179872 181216 183680 186880 191552 196735 197120 198205 199744 202048 205568 207104 209510 218470 220990 224840 226520 227833 228928 230461 230912 232183 236228 239440 240317 249172 249680 252560 255922 256960 257152 258880 261632 263384 265352 274648 275968 284768 286160 288640 293314 295285 305858 311465 314776 317128 321440 327040 329230 331690 335216 343310 344960 349552 353584 355960 359744 362432 364859 367360 383104 393470 396410 399488 404096 411136 413399 414208 419020 436051 436940 441980 449680 453040 455666 457856 460922 464366 472456 478880 480634 498344 499360 505120 511844 513920 514304 517760 526768 530704 549296 569536 572320 577280 586628 590570 611716 622930 629552 634256 639805 642880 649627 654080 658460 663380 670432 686620 689920 699104 707168 711920 719488 724864 729718 733285 734720 764645 766208 786940 792820 798976 808192 826798 838040 872102 873880 883960 895727 899360 906080 911332 915712 921844 928732 944912 957760 961268 996688 998720 1010240 1023688 1027840 1028608 1035520 1053536 1061408 1098592 1139072 1139165 1144640 1152305 1154560 1160915 1173256 1181140 1201585 1223432 1245860 1259104 1268512 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11796281408 11932348736 11956675840 12442652992 12611836160 12902182790 13051006430 13152343424 13250617472 13609151710 13636969984 14192401069 14220174848 14289685760 14385375620 14492862860 14646927904 14745351760 14915435920 15113985554 15186625664 15553316240 15718654336 15836103808 15942149146 16051427840 16219886936 16297842176 16440429280 16563271840 16739346176 17046212480 17656570624 17775218560 18063055906 18219599024 18308659880 18983282080 19648317920 19795129760 20139525868 20274858670 20290008004 20372302720 20643492464 20881610288 20924182720 21695179520 21774642736 22070713280 22455220480 22623005440 22774498780 22883956480 23016600992 23188580576 23592562816 23864697472 23913351680 24885305984 25174407335 25223672320 25362510005 25804365580 26102012860 26304686848 26501234944 27218303420 28384802138 28579371520 28770751240 28985725720 29293855808 29490703520 29830871840 30227971108 30373251328 31106632480 31437308672 31672207616 31884298292 32439773872 32880858560 33126543680 33478692352 34092424960 35313141248 35550437120 36126111812 36439198048 36617319760 37784963885 37966564160 39296635840 39590259520 39855372865 40279051736 40549717340 40580016008 40744605440 41286984928 41763220576 41848365440 43390359040 43549285472 44141426560 44910440960 45157639765 45246010880 45548997560 45767912960 46033201984 46377161152 47185125632 47729394944 49770611968 50348814670 50725020010 51608731160 52204025720 52609373696 52898949439 53002469888 54436606840 55797522011 56769604276 57541502480 57971451440 58587711616 58981407040 59661743680 60455942216 60746502656 62213264960 62874617344 63344415232 63768596584 64879547744 65761717120 66253087360 68184849920 70962005345 71100874240 72252223624 72878396096 73234639520 75569927770 75933128320 78593271680 79180519040 79710745730 80558103472 81099434680 81160032016 81489210880 82573969856 83126920547 83526441152 83696730880 87098570944 88282853120 90315279530 91097995120 92066403968 92754322304 94370251264 95458789888 99346807483 99541223936 100697629340 101450040020 103217462320 104408051440 105797898878 108873213680 111595044022 113539208552 115083004960 115942902880 117175423232 117962814080 119323487360 120911884432 124426529920 127537193168 129759095488 131523434240 132506174720 141924010690 144504447248 145756792192 146469279040 151139855540 151866256640 157186543360 158361038080 159421491460 161116206944 162198869360 162320064032 165147939712 166253841094 167052882304 167393461760 174197141888 176565706240 180630559060 182195990240 184132807936 185508644608 198693614966 201395258680 202900080040 206434924640 208816102880 211595797756 217746427360 223190088044 227078417104 230166009920 231885805760 234350846464 235925628160 238646974720 241823768864 248853059840 255074386336 259518190976 263046868480 264494747195 265012349440 278987610055 283848021380 289008894496 291513584384 292938558080 302279711080 303732513280 314373086720 316722076160 318842982920 322232413888 324397738720 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1330030728752 1445044472480 1457567921920 1481170584292 1589548919728 1611162069440 1623200640320 1651479397120 1662538410940 1670528823040 1692766382048 1741971418880 1785520704352 1816627336832 1841328079360 1851463230365 1855086446080 1934590150912 1986936149660 2040595090688 2115957977560 2231900880440 2270784171040 2312071155968 2327553775316 2418237688640 2550743863360 2577859311104 2595181909760 2597121024512 2660061457504 2890088944960 2909442219145 2915135843840 2962341168584 3179097839456 3222324138880 3246401280640 3302958794240 3325076821880 3341057646080 3385532764096 3483942837760 3571041408704 3633254673664 3702926460730 3869180301824 3973872299320 4073219106803 4081190181376 4231915955120 4463801760880 4541568342080 4624142311936 4655107550632 4836475377280 5101487726720 5190363819520 5320122915008 5780177889920 5818884438290 5924682337168 6358195678912 6444648277760 6492802561280 6650153643760 6771065528192 7142082817408 7266509347328 7405852921460 7947744598640 8146438213606 8463831910240 8927603521760 9083136684160 9310215101264 9672950754560 10202975453440 10640245830016 11560355779840 11637768876580 11849364674336 12716391357824 12889296555520 12985605122560 13300307287520 13542131056384 14284165634816 14811705842920 15895489197280 16292876427212 16927663820480 17855207043520 18166273368320 18620430202528 19345901509120 20366095534015 20405950906880 21280491660032 23120711559680 23275537753160 23698729348672 25432782715648 26600614575040 27084262112768 28568331269632 29623411685840 31790978394560 32585752854424 33855327640960 35710414087040 36332546736640 37240860405056 40732191068030 42560983320064 46551075506320 47397458697344 50865565431296 53201229150080 59246823371680 63581956789120 65171505708848 67710655281920 71420828174080 74481720810112 81464382136060 93102151012640 94794917394688 106402458300160 118493646743360 127163913578240 130343011417696 135421310563840 142841656348160 148963441620224 162928764272120 186204302025280 189589834789376 212804916600320 236987293486720 254327827156480 260686022835392 297926883240448 325857528544240 372408604050560 473974586973440 521372045670784 651715057088480 744817208101120 947949173946880 1042744091341568 1303430114176960 1489634416202240 2085488182683136 2606860228353920 5213720456707840 10427440913415680
- Sum of all divisors σ(n): 32997566559323520
- Sum of proper divisors (its aliquot sum) s(n): 22570125645907840
- 10427440913415680 is an abundant number, because the sum of its proper divisors (22570125645907840) is greater than itself. Its abundance is 12142684732492160
Bases of 10427440913415680
- Binary: 1001010000101110110011110001111000111101111110000000002
- Hexadecimal: 0x250BB3C78F7E00
- Base-36: 2UO7W83AUWW
Squares and roots of 10427440913415680
- 10427440913415680 squared (104274409134156802) is 108731524002775230846604469862400
- 10427440913415680 cubed (104274409134156803) is 1133791541964577487570376684130181786403602432000
-
The
square root of 10427440913415680 is 102114841.7881342065 -
The
cube root of 10427440913415680 is 218470.3876101209
Scales and comparisons
How big is 10427440913415680?- 10,427,440,913,415,680 seconds is equal to 331,560,366 years, 44 weeks, 2 days, 21 hours, 41 minutes, 20 seconds.
-
To count from 1 to 10,427,440,913,415,680 would take you about nine hundred ninety-four million, six hundred eighty-one thousand, one hundred 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 10427440913415680 cubic inches would be around 18205.9 feet tall.
Recreational maths with 10427440913415680
- 10427440913415680 backwards is 08651431904472401
- The number of decimal digits it has is: 17
- The sum of 10427440913415680's digits is 59
- More coming soon!
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"Number 10427440913415680 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 10427440913415680 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/10427440913415680/
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Numbermatics. 2024. "Number 10427440913415680 - Facts about the integer". https://numbermatics.com/n/10427440913415680/
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