13648863638323200

Names of 13648863638323200

• Cardinal: 13648863638323200 can be written as Thirteen quadrillion, six hundred forty-eight trillion, eight hundred sixty-three billion, six hundred thirty-eight million, three hundred twenty-three thousand, two hundred.

Scientific notation

• Scientific notation: 1.36488636383232 × 10¹⁶

Factors of 13648863638323200

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 29
• Sum of prime factors: 958

Divisors of 13648863638323200

• Number of divisors d(n): 1242
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 240 245 256 280 294 300 320 336 350 384 392 400 420 448 480 490 512 525 560 588 600 640 672 700 735 768 784 800 840 896 941 960 980 1024 1050 1120 1176 1200 1225 1280 1344 1400 1470 1536 1568 1600 1680 1792 1882 1920 1960 2048 2100 2240 2352 2400 2450 2560 2688 2800 2823 2940 3072 3136 3200 3360 3584 3675 3764 3840 3920 4096 4200 4480 4704 4705 4800 4900 5120 5376 5600 5646 5880 6144 6272 6400 6587 6720 7168 7350 7528 7680 7840 8192 8400 8960 9408 9410 9600 9800 10240 10752 11200 11292 11760 12288 12544 12800 13174 13440 14115 14336 14700 15056 15360 15680 16384 16800 17920 18816 18820 19200 19600 19761 20480 21504 22400 22584 23520 23525 24576 25088 25600 26348 26880 28230 28672 29400 30112 30720 31360 32768 32935 33600 35840 37632 37640 38400 39200 39522 40960 43008 44800 45168 46109 47040 47050 49152 50176 51200 52696 53760 56460 57344 58800 60224 61440 62720 65536 65870 67200 70575 71680 75264 75280 76800 78400 79044 81920 86016 89600 90336 92218 94080 94100 98304 98805 100352 102400 105392 107520 112920 114688 117600 120448 122880 125440 131072 131740 134400 138327 141150 143360 150528 150560 153600 156800 158088 163840 164675 172032 179200 180672 184436 188160 188200 196608 197610 200704 204800 210784 215040 225840 229376 230545 235200 240896 245760 250880 262144 263480 268800 276654 282300 286720 301056 301120 307200 313600 316176 327680 329350 344064 358400 361344 368872 376320 376400 393216 395220 401408 409600 421568 430080 451680 458752 461090 470400 481792 491520 494025 501760 524288 526960 537600 553308 564600 573440 602112 602240 614400 627200 632352 655360 658700 688128 691635 716800 722688 737744 752640 752800 786432 790440 802816 819200 843136 860160 885481 903360 917504 922180 940800 963584 983040 988050 1003520 1048576 1053920 1075200 1106616 1129200 1146880 1152725 1204224 1204480 1228800 1254400 1264704 1310720 1317400 1376256 1383270 1433600 1445376 1475488 1505280 1505600 1572864 1580880 1605632 1638400 1686272 1720320 1770962 1806720 1835008 1844360 1881600 1927168 1966080 1976100 2007040 2097152 2107840 2150400 2213232 2258400 2293760 2305450 2408448 2408960 2457600 2508800 2529408 2621440 2634800 2656443 2752512 2766540 2867200 2890752 2950976 3010560 3011200 3145728 3161760 3211264 3276800 3372544 3440640 3458175 3541924 3613440 3670016 3688720 3763200 3854336 3932160 3952200 4014080 4194304 4215680 4300800 4426464 4427405 4516800 4587520 4610900 4816896 4817920 4915200 5017600 5058816 5242880 5269600 5312886 5505024 5533080 5734400 5781504 5901952 6021120 6022400 6198367 6291456 6323520 6422528 6553600 6745088 6881280 6916350 7083848 7226880 7340032 7377440 7526400 7708672 7864320 7904400 8028160 8431360 8601600 8852928 8854810 9033600 9175040 9221800 9633792 9635840 9830400 10035200 10117632 10485760 10539200 10625772 11010048 11066160 11468800 11563008 11803904 12042240 12044800 12396734 12582912 12647040 12845056 13107200 13282215 13490176 13762560 13832700 14167696 14453760 14680064 14754880 15052800 15417344 15728640 15808800 16056320 16862720 17203200 17705856 17709620 18067200 18350080 18443600 18595101 19267584 19271680 19660800 20070400 20235264 20971520 21078400 21251544 22020096 22132320 22137025 22937600 23126016 23607808 24084480 24089600 24793468 25294080 25690112 26214400 26564430 26980352 27525120 27665400 28335392 28907520 29360128 29509760 30105600 30834688 30991835 31457280 31617600 32112640 33725440 34406400 35411712 35419240 36134400 36700160 36887200 37190202 38535168 38543360 39321600 40140800 40470528 42156800 42503088 43388569 44040192 44264640 44274050 45875200 46252032 47215616 48168960 48179200 49586936 50588160 51380224 52428800 53128860 53960704 55050240 55330800 56670784 57815040 59019520 60211200 61669376 61983670 62914560 63235200 64225280 66411075 67450880 68812800 70823424 70838480 72268800 73400320 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1983477440 2023526400 2082651312 2125154400 2158428160 2169428450 2202009600 2266349568 2266831360 2312601600 2360780800 2380172928 2466775040 2479346800 2569011200 2590113792 2603314140 2698035200 2720197632 2776868416 2832936960 2833539200 2960130048 2975216160 3021799424 3082813440 3083468800 3173563904 3237642240 3254142675 3400247040 3453485056 3471085520 3541171200 3626930176 3700162560 3719020200 3777249280 3853516800 3946840064 3966954880 4047052800 4165302624 4250308800 4316856320 4338856900 4532699136 4533662720 4625203200 4721561600 4760345856 4933550080 4958693600 5138022400 5180227584 5206628280 5396070400 5440395264 5553736832 5665873920 5667078400 5920260096 5950432320 6043598848 6166937600 6347127808 6475284480 6508285350 6800494080 6906970112 6942171040 7082342400 7253860352 7400325120 7438040400 7554498560 7707033600 7933909760 8094105600 8330605248 8500617600 8633712640 8677713800 9065398272 9067325440 9250406400 9443123200 9520691712 9867100160 9917387200 10360455168 10413256560 10792140800 10880790528 11107473664 11331747840 11334156800 11840520192 11900864640 12087197696 12333875200 12694255616 12950568960 13016570700 13600988160 13813940224 13884342080 14164684800 14507720704 14800650240 14876080800 15108997120 15414067200 15867819520 16188211200 16661210496 17001235200 17267425280 17355427600 18130796544 18134650880 18500812800 18886246400 19041383424 19734200320 19834774400 20720910336 20826513120 21584281600 21761581056 22214947328 22663495680 22668313600 23801729280 24174395392 24667750400 25388511232 25901137920 26033141400 27201976320 27627880448 27768684160 28329369600 29015441408 29601300480 29752161600 30217994240 31735639040 32376422400 33322420992 34002470400 34534850560 34710855200 36261593088 36269301760 37001625600 37772492800 38082766848 39669548800 41441820672 41653026240 43168563200 43523162112 44429894656 45326991360 45336627200 47603458560 48348790784 49335500800 50777022464 51802275840 52066282800 54403952640 55537368320 56658739200 58030882816 59202600960 59504323200 60435988480 63471278080 64752844800 66644841984 68004940800 69069701120 69421710400 72523186176 72538603520 74003251200 75544985600 76165533696 79339097600 82883641344 83306052480 86337126400 87046324224 88859789312 90653982720 90673254400 95206917120 96697581568 98671001600 101554044928 103604551680 104132565600 108807905280 111074736640 113317478400 116061765632 119008646400 120871976960 126942556160 129505689600 133289683968 136009881600 138139402240 138843420800 145046372352 145077207040 148006502400 151089971200 152331067392 158678195200 166612104960 172674252800 174092648448 177719578624 181307965440 181346508800 190413834240 193395163136 203108089856 207209103360 208265131200 217615810560 222149473280 226634956800 232123531264 238017292800 241743953920 253885112320 259011379200 266579367936 272019763200 277686841600 290092744704 290154414080 296013004800 302179942400 304662134784 317356390400 333224209920 345348505600 348185296896 355439157248 362615930880 362693017600 380827668480 406216179712 414418206720 416530262400 435231621120 444298946560 453269913600 464247062528 476034585600 483487907840 507770224640 518022758400 533158735872 544039526400 555373683200 580185489408 580308828160 604359884800 609324269568 634712780800 666448419840 690697011200 696370593792 710878314496 725231861760 725386035200 761655336960 812432359424 833060524800 870463242240 888597893120 906539827200 928494125056 952069171200 966975815680 1015540449280 1036045516800 1066317471744 1088079052800 1110747366400 1160617656320 1208719769600 1218648539136 1269425561600 1332896839680 1392741187584 1421756628992 1450463723520 1450772070400 1523310673920 1624864718848 1666121049600 1740926484480 1777195786240 1813079654400 1856988250112 1904138342400 2031080898560 2072091033600 2132634943488 2176158105600 2221494732800 2321235312640 2417439539200 2437297078272 2538851123200 2665793679360 2785482375168 2843513257984 2900927447040 2901544140800 3046621347840 3249729437696 3332242099200 3481852968960 3554391572480 3626159308800 3713976500224 3808276684800 4062161797120 4265269886976 4352316211200 4442989465600 4642470625280 4834879078400 4874594156544 5077702246400 5331587358720 5570964750336 5687026515968 5803088281600 6093242695680 6499458875392 6664484198400 6963705937920 7108783144960 7252318617600 7616553369600 8124323594240 8530539773952 8704632422400 8885978931200 9284941250560 9749188313088 10155404492800 10663174717440 11141929500672 11374053031936 11606176563200 12186485391360 12998917750784 13328968396800 13927411875840 14217566289920 14504637235200 15233106739200 16248647188480 17061079547904 17409264844800 17771957862400 18569882501120 19498376626176 20310808985600 21326349434880 22748106063872 23212353126400 24372970782720 25997835501568 26657936793600 27854823751680 28435132579840 30466213478400 32497294376960 34122159095808 34818529689600 35543915724800 38996753252352 40621617971200 42652698869760 45496212127744 46424706252800 48745941565440 53315873587200 55709647503360 56870265159680 60932426956800 64994588753920 68244318191616 69637059379200 71087831449600 77993506504704 81243235942400 85305397739520 90992424255488 92849412505600 97491883130880 106631747174400 113740530319360 121864853913600 129989177507840 136488636383232 139274118758400 142175662899200 162486471884800 170610795479040 181984848510976 194983766261760 213263494348800 227481060638720 243729707827200 272977272766464 278548237516800 284351325798400 324972943769600 341221590958080 389967532523520 426526988697600 454962121277440 487459415654400 545954545532928 568702651596800 649945887539200 682443181916160 853053977395200 909924242554880 974918831308800 1137405303193600 1364886363832320 1706107954790400 1949837662617600 2274810606387200 2729772727664640 3412215909580800 4549621212774400 6824431819161600 13648863638323200
• Sum of all divisors σ(n): 52556617363754748
• Sum of proper divisors (its aliquot sum) s(n): 38907753725431548
• 13648863638323200 is an abundant number, because the sum of its proper divisors (38907753725431548) is greater than itself. Its abundance is 25258890087108348

Bases of 13648863638323200

• Binary: 110000011111011001000110110100110000000000000000000000₂
• Hexadecimal: 0x307D91B4C00000
• Base-36: 3QE49E71HXC

Squares and roots of 13648863638323200

• 13648863638323200 squared (13648863638323200²) is 186291478617541220499707658240000
• 13648863638323200 cubed (13648863638323200³) is 2542666988632422279333789368647572592263168000000
• The square root of 13648863638323200 is 116828351.1752314343
• The cube root of 13648863638323200 is 238982.1689067081

Scales and comparisons

• 13,648,863,638,323,200 seconds is equal to 433,991,644 years, 51 weeks, 3 days, 21 hours, 20 minutes.
• To count from 1 to 13,648,863,638,323,200 would take you about one billion, three hundred one million, nine hundred seventy-four thousand, nine hundred thirty-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 13648863638323200 cubic inches would be around 19915.2 feet tall.

Recreational maths with 13648863638323200

• 13648863638323200 backwards is 00232383636884631
• The number of decimal digits it has is: 17
• The sum of 13648863638323200's digits is 66
• More coming soon!