13382828373300480
13,382,828,373,300,480 is an even composite number composed of seven prime numbers multiplied together.
13382828373300480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13382828373300480:
28 × 35 × 5 × 17 × 41 × 211 × 292561
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 17 × 41 × 211 × 292561)See below for interesting mathematical facts about the number 13382828373300480 from the Numbermatics database.
Names of 13382828373300480
- Cardinal: 13382828373300480 can be written as Thirteen quadrillion, three hundred eighty-two trillion, eight hundred twenty-eight billion, three hundred seventy-three million, three hundred thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.338282837330048 × 1016
Factors of 13382828373300480
Divisors of 13382828373300480
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 41 45 48 51 54 60 64 68 72 80 81 82 85 90 96 102 108 120 123 128 135 136 144 153 160 162 164 170 180 192 204 205 211 216 240 243 246 255 256 270 272 288 306 320 324 328 340 360 369 384 405 408 410 422 432 459 480 486 492 510 540 544 576 612 615 633 640 648 656 680 697 720 738 765 768 810 816 820 844 864 918 960 972 984 1020 1055 1080 1088 1107 1152 1215 1224 1230 1266 1280 1296 1312 1360 1377 1394 1440 1476 1530 1620 1632 1640 1688 1728 1836 1845 1899 1920 1944 1968 2040 2091 2110 2160 2176 2214 2295 2304 2430 2448 2460 2532 2592 2624 2720 2754 2788 2880 2952 3060 3165 3240 3264 3280 3321 3376 3456 3485 3587 3672 3690 3798 3840 3888 3936 4080 4131 4182 4220 4320 4352 4428 4590 4860 4896 4920 5064 5184 5248 5440 5508 5535 5576 5697 5760 5904 6120 6273 6330 6480 6528 6560 6642 6752 6885 6912 6970 7174 7344 7380 7596 7776 7872 8160 8262 8364 8440 8640 8651 8856 9180 9495 9720 9792 9840 9963 10128 10368 10455 10496 10761 10880 11016 11070 11152 11394 11520 11808 12240 12546 12660 12960 13056 13120 13284 13504 13770 13940 14348 14688 14760 15192 15552 15744 16320 16524 16605 16728 16880 17091 17280 17302 17712 17935 18360 18819 18990 19440 19584 19680 19926 20256 20655 20736 20910 21522 21760 22032 22140 22304 22788 23616 24480 25092 25320 25920 25953 26240 26568 27008 27540 27880 28485 28696 29376 29520 30384 31104 31365 31488 32283 32640 33048 33210 33456 33760 34182 34560 34604 35424 35870 36720 37638 37980 38880 39168 39360 39852 40512 41310 41820 43044 43255 44064 44280 44608 45576 47232 48960 49815 50184 50640 51273 51840 51906 52480 53136 53805 54016 55080 55760 56457 56970 57392 58752 59040 60768 62208 62730 64566 65280 66096 66420 66912 67520 68364 69208 70848 71740 73440 75276 75960 77760 77859 78720 79704 81024 82620 83640 85455 86088 86510 88128 88560 89216 91152 94095 94464 96849 97920 99630 100368 101280 102546 103680 103812 106272 107610 110160 111520 112914 113940 114784 117504 118080 121536 125460 129132 129765 132192 132840 133824 135040 136728 138416 141696 143480 146880 147067 150552 151920 155520 155718 157440 159408 161415 162048 165240 167280 169371 170910 172176 173020 176256 177120 178432 182304 188190 193698 195840 199260 200736 202560 205092 207624 212544 215220 220320 223040 225828 227880 229568 233577 236160 243072 250920 256365 258264 259530 264384 265680 267648 270080 273456 276832 282285 283392 286960 290547 292561 293760 294134 301104 303840 311040 311436 318816 322830 330480 334560 338742 341820 344352 346040 352512 354240 364608 376380 387396 389295 398520 401472 405120 410184 415248 425088 430440 440640 441201 446080 451656 455760 459136 467154 472320 484245 486144 501840 512730 516528 519060 528768 531360 535296 546912 553664 564570 573920 581094 585122 587520 588268 602208 607680 622872 637632 645660 660960 669120 677484 683640 688704 692080 700731 708480 729216 735335 752760 774792 778590 797040 802944 810240 820368 830496 846855 850176 860880 871641 877683 881280 882402 892160 903312 911520 918272 934308 968490 1003680 1025460 1033056 1038120 1057536 1062720 1093824 1107328 1129140 1147840 1162188 1167885 1170244 1176536 1204416 1215360 1245744 1275264 1291320 1321920 1323603 1338240 1354968 1367280 1377408 1384160 1401462 1416960 1452735 1458432 1462805 1470670 1505520 1549584 1557180 1594080 1605888 1640736 1660992 1693710 1721760 1743282 1755366 1762560 1764804 1806624 1823040 1868616 1936980 2007360 2050920 2066112 2076240 2102193 2125440 2187648 2206005 2214656 2258280 2295680 2324376 2335770 2340488 2353072 2408832 2430720 2491488 2550528 2582640 2633049 2643840 2647206 2676480 2709936 2734560 2754816 2768320 2802924 2905470 2925610 2941340 3011040 3099168 3114360 3188160 3281472 3321984 3387420 3443520 3486564 3503655 3510732 3529608 3613248 3646080 3737232 3873960 3970809 4014720 4101840 4132224 4152480 4204386 4250880 4358205 4375296 4388415 4412010 4516560 4591360 4648752 4671540 4680976 4706144 4817664 4973537 4982976 5165280 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103131263232 103636808640 106670081088 110114109180 113336961156 113892534495 116591409720 117455049792 118522312320 120003841224 121485370128 124364170368 125929956840 128914079040 129078205761 130505610880 132136931016 133337601360 134325287296 136671041394 138182411520 141671201445 142226774784 146818812240 150004801530 151115948208 151856712660 154696894848 155455212960 156606733056 160005121632 161980493504 165171163770 167906609120 170005441734 171885438720 172104274348 176182574688 177783468480 182228055192 186546255552 188894935260 193371118560 195758416320 198205396524 200006402040 201487930944 202475616880 205006562091 207273617280 213340162176 215130342935 220228218360 226673922312 227785068990 233182819440 234910099584 237044624640 240007682448 242970740256 247756745655 248728340736 251859913680 255008162601 257828158080 258156411522 261011221760 264273862032 266675202720 268650574592 273342082788 283342402890 293637624480 300009603060 302231896416 303713425320 309393789696 310910425920 320010243264 323960987008 330342327540 335813218240 340010883468 341677603485 344208548696 352365149376 355566936960 364456110384 373092511104 377789870520 386742237120 387234617283 391516832640 396410793048 400012804080 402975861888 404951233760 410013124182 414547234560 425013604335 426680324352 430260685870 440456436720 453347844624 455570137980 466365638880 469820199168 480015364896 485941480512 495513491310 503719827360 510016325202 515656316160 516312823044 528547724064 533350405440 546684165576 566684805780 587275248960 600019206120 604463792832 607426850640 615019686273 621820851840 640020486528 645391028805 647921974016 660684655080 671626436480 680021766936 683355206970 688417097392 704730298752 711133873920 728912220768 746185022208 755579741040 773484474240 774469234566 783033665280 792821586096 800025608160 805951723776 809902467520 820026248364 850027208670 860521371740 880912873440 906695689248 911140275960 932731277760 960030729792 971882961024 991026982620 1007439654720 1020032650404 1025032810455 1032625646088 1057095448128 1066700810880 1093368331152 1133369611560 1161703851849 1174550497920 1200038412240 1208927585664 1214853701280 1230039372546 1243641703680 1275040813005 1280040973056 1290782057610 1321369310160 1343252872960 1360043533872 1366710413940 1376834194784 1409460597504 1457824441536 1511159482080 1546968948480 1548938469132 1585643172192 1600051216320 1619804935040 1640052496728 1700054417340 1721042743480 1761825746880 1813391378496 1822280551920 1865462555520 1920061459584 1936173086415 1943765922048 1982053965240 2014879309440 2040065300808 2050065620910 2065251292176 2114190896256 2133401621760 2186736662304 2266739223120 2323407703698 2349100995840 2400076824480 2417855171328 2429707402560 2460078745092 2550081626010 2581564115220 2642738620320 2720087067744 2733420827880 2753668389568 2915648883072 3022318964160 3075098431365 3097876938264 3171286344384 3200102432640 3239609870080 3280104993456 3400108834680 3442085486960 3485111555547 3523651493760 3626782756992 3644561103840 3730925111040 3840122919168 3872346172830 3964107930480 4029758618880 4080130601616 4100131241820 4130502584352 4228381792512 4373473324608 4533478446240 4646815407396 4800153648960 4859414805120 4920157490184 5100163252020 5163128230440 5285477240640 5440174135488 5466841655760 5507336779136 5808519259245 5831297766144 6044637928320 6150196862730 6195753876528 6342572688768 6400204865280 6560209986912 6800217669360 6884170973920 6970223111094 7047302987520 7253565513984 7289122207680 7744692345660 7928215860960 8160261203232 8200262483640 8261005168704 8746946649216 9066956892480 9293630814792 9600307297920 9718829610240 9840314980368 10200326504040 10326256460880 10455334666641 10570954481280 10880348270976 10933683311520 11014673558272 11617038518490 12089275856640 12300393725460 12391507753056 12685145377536 13120419973824 13600435338720 13768341947840 13940446222188 14578244415360 15489384691320 15856431721920 16320522406464 16400524967280 16522010337408 17425557777735 17493893298432 18133913784960 18587261629584 19200614595840 19680629960736 20400653008080 20652512921760 20910669333282 21141908962560 21760696541952 21867366623040 23234077036980 24600787450920 24783015506112 26240839947648 27200870677440 27536683895680 27880892444376 29156488830720 30978769382640 31712863443840 32641044812928 32801049934560 33044020674816 34851115555470 36267827569920 37174523259168 39361259921472 40801306016160 41305025843520 41821338666564 43734733246080 46468154073960 49201574901840 49566031012224 52276673333205 52481679895296 54401741354880 55073367791360 55761784888752 61957538765280 63425726887680 65282089625856 65602099869120 69702231110940 74349046518336 78722519842944 81602612032320 82610051687040 83642677333128 87469466492160 92936308147920 98403149803680 99132062024448 104553346666410 108803482709760 111523569777504 123915077530560 131204199738240 139404462221880 148698093036672 157445039685888 163205224064640 165220103374080 167285354666256 185872616295840 196806299607360 209106693332820 223047139555008 247830155061120 262408399476480 278808924443760 297396186073344 326410448129280 334570709332512 371745232591680 393612599214720 418213386665640 446094279110016 495660310122240 557617848887520 669141418665024 743490465183360 787225198429440 836426773331280 892188558220032 1115235697775040 1338282837330048 1486980930366720 1672853546662560 2230471395550080 2676565674660096 3345707093325120 4460942791100160 6691414186650240 13382828373300480
- Sum of all divisors σ(n): 52329803848148736
- Sum of proper divisors (its aliquot sum) s(n): 38946975474848256
- 13382828373300480 is an abundant number, because the sum of its proper divisors (38946975474848256) is greater than itself. Its abundance is 25564147101547776
Bases of 13382828373300480
- Binary: 1011111000101110011100100010110100011111010101000000002
- Hexadecimal: 0x2F8B9C8B47D500
- Base-36: 3NRTEHB2O00
Squares and roots of 13382828373300480
- 13382828373300480 squared (133828283733004802) is 179100095269216371668128368230400
- 13382828373300480 cubed (133828283733004803) is 2396865836629687928862835801518828133225070592000
-
The
square root of 13382828373300480 is 115684175.1204566441 -
The
cube root of 13382828373300480 is 237419.2722762031
Scales and comparisons
How big is 13382828373300480?- 13,382,828,373,300,480 seconds is equal to 425,532,546 years, 24 weeks, 1 day, 4 hours, 48 minutes.
-
To count from 1 to 13,382,828,373,300,480 would take you about one billion, two hundred seventy-six million, five hundred ninety-seven thousand, six hundred thirty-nine 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 13382828373300480 cubic inches would be around 19784.9 feet tall.
Recreational maths with 13382828373300480
- 13382828373300480 backwards is 08400337382828331
- The number of decimal digits it has is: 17
- The sum of 13382828373300480's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 13382828373300480 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 13382828373300480 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13382828373300480/
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Numbermatics. 2024. "Number 13382828373300480 - Facts about the integer". https://numbermatics.com/n/13382828373300480/
The information we have on file for 13382828373300480 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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