13628834814280320
13,628,834,814,280,320 is an even composite number composed of eight prime numbers multiplied together.
13628834814280320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13628834814280320:
27 × 33 × 5 × 29 × 31 × 197 × 1861 × 2393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 29 × 31 × 197 × 1861 × 2393)See below for interesting mathematical facts about the number 13628834814280320 from the Numbermatics database.
Names of 13628834814280320
- Cardinal: 13628834814280320 can be written as Thirteen quadrillion, six hundred twenty-eight trillion, eight hundred thirty-four billion, eight hundred fourteen million, two hundred eighty thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.362883481428032 × 1016
Factors of 13628834814280320
Divisors of 13628834814280320
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 29 30 31 32 36 40 45 48 54 58 60 62 64 72 80 87 90 93 96 108 116 120 124 128 135 144 145 155 160 174 180 186 192 197 216 232 240 248 261 270 279 288 290 310 320 348 360 372 384 394 432 435 464 465 480 496 522 540 558 576 580 591 620 640 696 720 744 783 788 837 864 870 899 928 930 960 985 992 1044 1080 1116 1152 1160 1182 1240 1305 1392 1395 1440 1488 1566 1576 1674 1728 1740 1773 1798 1856 1860 1861 1920 1970 1984 2088 2160 2232 2320 2364 2393 2480 2610 2697 2784 2790 2880 2955 2976 3132 3152 3348 3456 3480 3546 3596 3712 3720 3722 3915 3940 3968 4176 4185 4320 4464 4495 4640 4728 4786 4960 5220 5319 5394 5568 5580 5583 5713 5760 5910 5952 6107 6264 6304 6696 6960 7092 7179 7192 7440 7444 7830 7880 8091 8352 8370 8640 8865 8928 8990 9280 9305 9456 9572 9920 10440 10638 10788 11136 11160 11166 11426 11820 11904 11965 12214 12528 12608 13392 13485 13920 14184 14358 14384 14880 14888 15660 15760 16182 16704 16740 16749 17139 17280 17730 17856 17980 18321 18560 18610 18912 19144 19840 20880 21276 21537 21576 22320 22332 22852 23640 23930 24273 24428 25056 25216 26595 26784 26970 27840 27915 28368 28565 28716 28768 29760 29776 30535 31320 31520 32364 33408 33480 33498 34278 35460 35712 35895 35960 36642 37220 37824 38288 40455 41760 42552 43074 43152 44640 44664 45704 47280 47860 48546 48856 50112 50247 51417 53190 53568 53940 53969 54963 55680 55830 56736 57130 57432 57536 57691 59520 59552 61070 62640 63040 64611 64728 66960 66996 68556 69397 70920 71790 71920 73284 74183 74440 75648 76576 80910 83520 83745 85104 85695 86148 86304 89280 89328 91408 91605 94560 95720 97092 97712 100224 100494 102834 106380 107136 107685 107880 107938 109926 111660 113472 114260 114864 115072 115382 119104 121365 122140 125280 126080 129222 129456 133920 133992 137112 138794 141840 143580 143840 146568 148366 148880 153152 154251 161820 161907 164889 167040 167490 170208 171390 172296 172608 173073 177103 178560 178656 182816 183210 189120 191440 194184 195424 200988 205668 208191 212760 215370 215760 215876 219852 222549 223320 226944 228520 229728 230764 238208 242730 244280 250560 251235 257085 258444 258912 267840 267984 269845 274224 274815 277588 283680 287160 287680 288455 293136 296732 297760 306304 308502 323055 323640 323814 329778 334980 340416 342780 344592 345216 346146 346985 354206 357312 365632 366420 366617 370915 378240 382880 388368 390848 401976 411336 416382 425520 430740 431520 431752 439704 445098 446640 457040 459456 461528 471421 485460 485721 488560 501120 502470 514170 516888 517824 519219 531309 535680 535968 539690 548448 549630 555176 567360 574320 575360 576910 586272 593464 595520 617004 624573 646110 647280 647628 659556 667647 669960 680832 685560 689184 692292 693970 708412 714624 731264 732840 733234 741830 765760 771255 776736 781696 803952 809535 822672 824445 832764 851040 861480 863040 863504 865365 879408 885515 890196 893280 914080 918912 923056 942842 970920 971442 977120 1004940 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49097348640 49592761728 49699642680 50506160256 50856897480 50884239898 52638868860 52734189280 53012952192 54247357312 54393497822 55791856944 56148126784 57214009665 59059622880 59325962940 59639571216 60053734905 61028276976 61239703680 61990952160 63132700320 63166642632 63281027136 64057317232 65463131520 66266190240 67809196640 69739821180 70185158480 71191155528 72064481886 74389142592 74549464020 76285346220 76326359847 76954285440 78746163840 78958303290 79101283920 79519428288 80071646540 81371035968 81590246733 82654602880 84176933760 84222190176 88354920320 88988944410 91542415464 91859555520 92986428240 94749963948 94921540704 96085975848 98194697280 99399285360 101713794960 101768479796 105277737720 105468378560 108096722829 108786995644 111583713888 112296253568 114428019330 118119245760 118437454935 118651925880 119279142432 120107469810 122056553952 123981904320 126265400640 126333285264 126562054272 127210599745 128114634464 132532380480 135618393280 135983744555 139479642360 140370316960 142382311056 144128963772 148778285184 149098928040 152570692440 152652719694 157916606580 158202567840 159038856576 160143293080 162742071936 163180493466 168444380352 177977888820 180161204715 183084830928 183719111040 185972856480 189499927896 189843081408 192171951696 196389394560 198798570720 203427589920 203536959592 210555475440 210936757120 216193445658 217573991288 223167427776 228856038660 228979079541 236238491520 236874909870 237303851760 238558284864 240214939620 244113107904 244770740199 247963808640 252530801280 252666570528 254421199490 256229268928 265064760960 271236786560 271967489110 278959284720 280740633920 284764622112 288257927544 298197856080 305141384880 305305439388 315833213160 316405135680 320286586160 326360986932 336888760704 355955777640 360322409430 366169661856 371945712960 378999855792 379686162816 381631799235 384343903392 397597141440 406855179840 407073919184 407951233665 421110950880 432386891316 435147982576 446334855552 457712077320 457958159082 473749819740 474607703520 477116569728 480429879240 488226215808 489541480398 505333141056 508842398980 512458537856 540483614145 543934978220 557918569440 561481267840 569529244224 576515855088 596395712160 610282769760 610610878776 631666426320 632810271360 640573172320 652721973864 686937238623 711911555280 720644818860 732339323712 734312220597 743891425920 757999711584 763263598470 768687806784 788705718419 795194282880 813710359680 814147838368 815902467330 842221901760 864773782632 870295965152 915424154640 915916318164 947499639480 949215407040 960859758480 979082960796 1010666282112 1017684797960 1080967228290 1087869956440 1115837138880 1139058488448 1144895397705 1153031710176 1192791424320 1220565539520 1221221757552 1223853700995 1263332852640 1281146344640 1305443947728 1373874477246 1423823110560 1441289637720 1464678647424 1468624441194 1515999423168 1526527196940 1537375613568 1577411436838 1628295676736 1631804934660 1684443803520 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9159163181640 9464468621028 9769774060416 9790829607960 10443551581824 10990995817968 11530317101760 11748995529552 11830585776285 12212217575520 12619291494704 13054439477280 13738744772460 13836380522112 14196702931542 14654661090624 14686244411940 15159994231680 15665327372736 15774114368380 16282956767360 17295475652640 17405919303040 18318326363280 18928937242056 19581659215920 21295054397313 21981991635936 23060634203520 23497991059104 23661171552570 24424435151040 25238582989408 26108878954560 27477489544920 28393405863084 29309322181248 29372488823880 31330654745472 31548228736760 34590951305280 35491757328855 36636652726560 37857874484112 39163318431840 42590108794626 43963983271872 46995982118208 47322343105140 48848870302080 50477165978816 52217757909120 54954979089840 56786811726168 58744977647760 63096457473520 69181902610560 70983514657710 73273305453120 75715748968224 78326636863680 85180217589252 87927966543744 93991964236416 94644686210280 100954331957632 106475271986565 109909958179680 113573623452336 117489955295520 126192914947040 141967029315420 146546610906240 151431497936448 156653273727360 170360435178504 189289372420560 212950543973130 219819916359360 227147246904672 234979910591040 252385829894080 283934058630840 302862995872896 340720870357008 378578744841120 425901087946260 439639832718720 454294493809344 469959821182080 504771659788160 567868117261680 681441740714016 757157489682240 851802175892520 908588987618688 1135736234523360 1362883481428032 1514314979364480 1703604351785040 2271472469046720 2725766962856064 3407208703570080 4542944938093440 6814417407140160 13628834814280320
- Sum of all divisors σ(n): 51855122930688000
- Sum of proper divisors (its aliquot sum) s(n): 38226288116407680
- 13628834814280320 is an abundant number, because the sum of its proper divisors (38226288116407680) is greater than itself. Its abundance is 24597453302127360
Bases of 13628834814280320
- Binary: 1100000110101101011010011000011100111011000010100000002
- Hexadecimal: 0x306B5A61CEC280
- Base-36: 3Q70OA2C2O0
Squares and roots of 13628834814280320
- 13628834814280320 squared (136288348142803202) is 185745138394939284546199539302400
- 13628834814280320 cubed (136288348142803203) is 2531489808740264679834365852879301048610848768000
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The
square root of 13628834814280320 is 116742600.6832138377 -
The
cube root of 13628834814280320 is 238865.2147251131
Scales and comparisons
How big is 13628834814280320?- 13,628,834,814,280,320 seconds is equal to 433,354,790 years, 17 weeks, 4 days, 19 hours, 12 minutes.
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To count from 1 to 13,628,834,814,280,320 would take you about one billion, three hundred million, sixty-four thousand, three hundred seventy-one 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 13628834814280320 cubic inches would be around 19905.4 feet tall.
Recreational maths with 13628834814280320
- 13628834814280320 backwards is 02308241843882631
- The number of decimal digits it has is: 17
- The sum of 13628834814280320's digits is 63
- More coming soon!
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The information we have on file for 13628834814280320 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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