13438667849728000
13,438,667,849,728,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13438667849728000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1512 divisors.
13438667849728000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 13438667849728000:
220 × 53 × 11 × 432 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 43 × 43 × 71 × 71)See below for interesting mathematical facts about the number 13438667849728000 from the Numbermatics database.
Names of 13438667849728000
- Cardinal: 13438667849728000 can be written as Thirteen quadrillion, four hundred thirty-eight trillion, six hundred sixty-seven billion, eight hundred forty-nine million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3438667849728 × 1016
Factors of 13438667849728000
Divisors of 13438667849728000
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 43 44 50 55 64 71 80 86 88 100 110 125 128 142 160 172 176 200 215 220 250 256 275 284 320 344 352 355 400 430 440 473 500 512 550 568 640 688 704 710 781 800 860 880 946 1000 1024 1075 1100 1136 1280 1375 1376 1408 1420 1562 1600 1720 1760 1775 1849 1892 2000 2048 2150 2200 2272 2365 2560 2750 2752 2816 2840 3053 3124 3200 3440 3520 3550 3698 3784 3905 4000 4096 4300 4400 4544 4730 5041 5120 5375 5500 5504 5632 5680 6106 6248 6400 6880 7040 7100 7396 7568 7810 8000 8192 8600 8800 8875 9088 9245 9460 10082 10240 10750 11000 11008 11264 11360 11825 12212 12496 12800 13760 14080 14200 14792 15136 15265 15620 16000 16384 17200 17600 17750 18176 18490 18920 19525 20164 20339 20480 21500 22000 22016 22528 22720 23650 24424 24992 25205 25600 27520 28160 28400 29584 30272 30530 31240 32000 32768 33583 34400 35200 35500 36352 36980 37840 39050 40328 40678 40960 43000 44000 44032 45056 45440 46225 47300 48848 49984 50410 51200 55040 55451 56320 56800 59125 59168 60544 61060 62480 64000 65536 67166 68800 70400 71000 72704 73960 75680 76325 78100 80656 81356 81920 86000 88000 88064 90112 90880 92450 94600 97625 97696 99968 100820 101695 102400 110080 110902 112640 113600 118250 118336 121088 122120 124960 126025 128000 131072 131279 134332 137600 140800 142000 145408 147920 151360 152650 156200 161312 162712 163840 167915 172000 176000 176128 180224 181760 184900 189200 195250 195392 199936 201640 203390 204800 216763 220160 221804 225280 227200 231125 236500 236672 242176 244240 249920 252050 256000 262144 262558 268664 275200 277255 281600 284000 290816 295840 302720 305300 312400 322624 325424 327680 335830 344000 352000 352256 360448 363520 369800 378400 381625 390500 390784 399872 403280 406780 409600 433526 440320 443608 450560 454400 462250 473000 473344 484352 488480 499840 504100 508475 512000 524288 525116 537328 550400 554510 563200 568000 581632 591680 605440 610600 624800 630125 645248 650848 655360 656395 671660 688000 704000 704512 720896 727040 739600 756800 763250 781000 781568 799744 806560 813560 819200 839575 867052 880640 887216 901120 908800 924500 946000 946688 968704 976960 999680 1008200 1016950 1024000 1048576 1050232 1074656 1083815 1100800 1109020 1126400 1136000 1163264 1183360 1210880 1221200 1249600 1260250 1290496 1301696 1310720 1312790 1343320 1376000 1386275 1408000 1409024 1441792 1444069 1454080 1479200 1513600 1526500 1562000 1563136 1599488 1613120 1627120 1638400 1679150 1734104 1761280 1774432 1802240 1817600 1849000 1892000 1893376 1937408 1953920 1999360 2016400 2033900 2048000 2100464 2149312 2167630 2201600 2218040 2252800 2272000 2326528 2366720 2384393 2421760 2442400 2499200 2520500 2542375 2580992 2603392 2621440 2625580 2686640 2752000 2772550 2816000 2818048 2883584 2888138 2908160 2958400 3027200 3053000 3124000 3126272 3198976 3226240 3254240 3276800 3281975 3358300 3468208 3522560 3548864 3604480 3635200 3698000 3784000 3786752 3874816 3907840 3998720 4032800 4067800 4096000 4197875 4200928 4298624 4335260 4403200 4436080 4505600 4544000 4653056 4733440 4768786 4843520 4884800 4998400 5041000 5084750 5161984 5206784 5242880 5251160 5373280 5419075 5504000 5545100 5632000 5636096 5767168 5776276 5816320 5916800 6054400 6106000 6248000 6252544 6397952 6452480 6508480 6553600 6563950 6716600 6931375 6936416 7045120 7097728 7208960 7220345 7270400 7396000 7568000 7573504 7749632 7815680 7997440 8065600 8135600 8192000 8395750 8401856 8597248 8670520 8806400 8872160 9011200 9088000 9306112 9320809 9466880 9537572 9687040 9769600 9996800 10082000 10169500 10323968 10413568 10502320 10746560 10838150 11008000 11090200 11264000 11272192 11534336 11552552 11632640 11833600 11921965 12108800 12212000 12496000 12505088 12795904 12904960 13016960 13107200 13127900 13433200 13862750 13872832 14090240 14195456 14417920 14440690 14540800 14792000 15136000 15147008 15499264 15631360 15994880 16131200 16271200 16384000 16409875 16791500 16803712 17194496 17341040 17612800 17744320 18022400 18176000 18612224 18641618 18933760 19075144 19374080 19539200 19993600 20164000 20339000 20647936 20827136 21004640 21493120 21676300 22016000 22180400 22528000 22544384 23105104 23265280 23667200 23843930 24217600 24424000 24992000 25010176 25591808 25809920 26033920 26214400 26255800 26866400 27095375 27725500 27745664 28180480 28390912 28835840 28881380 29081600 29584000 30272000 30294016 30998528 31262720 31989760 32262400 32542400 32768000 32819750 33583000 33607424 34388992 34682080 35225600 35488640 36044800 36101725 36352000 37224448 37283236 37867520 38150288 38748160 39078400 39987200 40328000 40678000 41295872 41654272 42009280 42986240 43352600 44032000 44360800 45056000 45088768 46210208 46530560 46604045 47334400 47687860 48435200 48848000 49984000 50020352 51183616 51619840 52067840 52511600 53732800 54190750 55451000 55491328 56360960 56781824 57671680 57762760 58163200 59168000 59609825 60544000 60588032 61997056 62525440 63979520 64524800 65084800 65536000 65639500 67166000 67214848 68777984 69364160 70451200 70977280 72089600 72203450 72704000 74448896 74566472 75735040 76300576 77496320 78156800 79974400 80656000 81356000 82591744 83308544 84018560 85972480 86705200 88064000 88721600 90112000 92420416 93061120 93208090 94668800 95375720 96870400 97696000 99968000 100040704 102367232 102528899 103239680 104135680 105023200 107465600 108381500 110902000 110982656 112721920 113563648 115525520 116326400 118336000 119219650 121088000 121176064 123994112 125050880 127959040 129049600 130169600 131072000 131279000 134332000 134429696 137555968 138728320 140902400 141954560 144179200 144406900 145408000 149132944 151470080 152601152 154992640 156313600 159948800 161312000 162712000 165183488 166617088 168037120 171944960 173410400 176128000 177443200 180224000 180508625 184840832 186122240 186416180 189337600 190751440 193740800 195392000 199936000 200081408 204734464 205057798 206479360 208271360 210046400 214931200 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2150875136 2200895488 2219653120 2271272960 2310510400 2326528000 2330202250 2384393000 2386127104 2423521280 2441618432 2479882240 2501017600 2559180800 2563222475 2580992000 2603392000 2642935808 2665873408 2688593920 2751119360 2774566400 2818048000 2839091200 2888138000 2957453312 2982658880 3029401600 3052023040 3099852800 3126272000 3198976000 3201302528 3280924768 3303669760 3332341760 3360742400 3438899200 3468208000 3548864000 3551444992 3634036736 3696816640 3728323600 3786752000 3815028800 3874816000 4001628160 4094689280 4101155960 4129587200 4165427200 4200928000 4298624000 4301750272 4401790976 4439306240 4542545920 4621020800 4653056000 4660404500 4768786000 4772254208 4847042560 4883236864 5002035200 5118361600 5126444950 5161984000 5206784000 5285871616 5331746816 5377187840 5502238720 5549132800 5636096000 5678182400 5776276000 5914906624 5965317760 6058803200 6104046080 6199705600 6252544000 6397952000 6561849536 6607339520 6664683520 6721484800 6877798400 6936416000 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23861271040 24235212800 24416184320 25010176000 25591808000 25632224750 26247398144 26429358080 26658734080 26885939200 27511193600 27745664000 28390912000 28411559936 29072293888 29574533120 29826588800 30294016000 30520230400 30998528000 32809247680 33036697600 33323417600 33607424000 34388992000 34414002176 35214327808 35514449920 36340367360 36968166400 37283236000 38150288000 38178033664 39065894912 40016281600 41011559600 41295872000 41654272000 43017502720 44017909760 44393062400 45425459200 46210208000 47319252992 47722542080 48470425600 48832368640 50020352000 51183616000 51264449500 52494796288 53317468160 53771878400 55022387200 55491328000 56781824000 56823119872 58144587776 59149066240 59653177600 60588032000 61040460800 61997056000 65618495360 66073395200 66646835200 67214848000 68777984000 68828004352 71028899840 72680734720 73936332800 74566472000 76300576000 76356067328 78131789824 80032563200 82023119200 82591744000 83308544000 86035005440 88035819520 88786124800 90850918400 92420416000 94638505984 95445084160 97664737280 100040704000 102367232000 102528899000 104989592576 106634936320 107543756800 110044774400 110982656000 113563648000 113646239744 118298132480 119306355200 121176064000 122080921600 131236990720 132146790400 133293670400 134429696000 137555968000 137656008704 142057799680 145361469440 147872665600 149132944000 152601152000 152712134656 156263579648 164046238400 165183488000 166617088000 172070010880 176071639040 177572249600 181701836800 184840832000 189277011968 190890168320 195329474560 200081408000 205057798000 209979185152 215087513600 220089548800 221965312000 227127296000 227292479488 236596264960 238612710400 242352128000 244161843200 262473981440 266587340800 268859392000 275111936000 284115599360 290722938880 295745331200 298265888000 305202304000 305424269312 312527159296 328092476800 330366976000 333234176000 344140021760 355144499200 363403673600 369681664000 378554023936 381780336640 390658949120 400162816000 410115596000 419958370304 430175027200 440179097600 443930624000 454254592000 473192529920 477225420800 488323686400 524947962880 533174681600 537718784000 550223872000 568231198720 591490662400 596531776000 610404608000 610848538624 625054318592 656184953600 660733952000 666468352000 688280043520 710288998400 726807347200 739363328000 757108047872 763560673280 781317898240 820231192000 839916740608 860350054400 880358195200 887861248000 908509184000 946385059840 954450841600 976647372800 1049895925760 1075437568000 1100447744000 1136462397440 1182981324800 1193063552000 1220809216000 1221697077248 1250108637184 1312369907200 1332936704000 1420577996800 1453614694400 1478726656000 1514216095744 1527121346560 1562635796480 1640462384000 1679833481216 1720700108800 1775722496000 1817018368000 1892770119680 1908901683200 1953294745600 2099791851520 2150875136000 2200895488000 2365962649600 2386127104000 2441618432000 2443394154496 2500217274368 2624739814400 2665873408000 2841155993600 2957453312000 3054242693120 3125271592960 3280924768000 3359666962432 3441400217600 3551444992000 3634036736000 3785540239360 3817803366400 3906589491200 4199583703040 4301750272000 4401790976000 4731925299200 4772254208000 4883236864000 4886788308992 5249479628800 5682311987200 5914906624000 6108485386240 6250543185920 6561849536000 6719333924864 7102889984000 7268073472000 7571080478720 7635606732800 7813178982400 8399167406080 8603500544000 9463850598400 9544508416000 9766473728000 9773576617984 10498959257600 11829813248000 12216970772480 12501086371840 13123699072000 13438667849728 14205779968000 15271213465600 15626357964800 16798334812160 17207001088000 18927701196800 19089016832000 19532947456000 20997918515200 23659626496000 24433941544960 26247398144000 26877335699456 28411559936000 30542426931200 31252715929600 33596669624320 37855402393600 38178033664000 39065894912000 41995837030400 47319252992000 48867883089920 52494796288000 53754671398912 61084853862400 62505431859200 67193339248640 76356067328000 78131789824000 83991674060800 94638505984000 104989592576000 107509342797824 122169707724800 134386678497280 152712134656000 156263579648000 167983348121600 189277011968000 209979185152000 244339415449600 268773356994560 305424269312000 312527159296000 335966696243200 419958370304000 537546713989120 610848538624000 671933392486400 839916740608000 1221697077248000 1343866784972800 1679833481216000 2687733569945600 3359666962432000 6719333924864000 13438667849728000
- Sum of all divisors σ(n): 37998106264420848
- Sum of proper divisors (its aliquot sum) s(n): 24559438414692848
- 13438667849728000 is an abundant number, because the sum of its proper divisors (24559438414692848) is greater than itself. Its abundance is 11120770564964848
Bases of 13438667849728000
- Binary: 1011111011111001100101101011110111000000000000000000002
- Hexadecimal: 0x2FBE65AF700000
- Base-36: 3OBLYS5LTZ4
Squares and roots of 13438667849728000
- 13438667849728000 squared (134386678497280002) is 180597793575312987189673984000000
- 13438667849728000 cubed (134386678497280003) is 2426993762252372594780848488246623076352000000000
-
The
square root of 13438667849728000 is 115925268.3832476619 -
The
cube root of 13438667849728000 is 237749.0224965635
Scales and comparisons
How big is 13438667849728000?- 13,438,667,849,728,000 seconds is equal to 427,308,069 years, 4 weeks, 5 days, 15 hours, 6 minutes, 40 seconds.
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To count from 1 to 13,438,667,849,728,000 would take you about one billion, two hundred eighty-one million, nine hundred twenty-four thousand, two hundred seven 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 13438667849728000 cubic inches would be around 19812.4 feet tall.
Recreational maths with 13438667849728000
- 13438667849728000 backwards is 00082794876683431
- The number of decimal digits it has is: 17
- The sum of 13438667849728000's digits is 76
- More coming soon!
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The information we have on file for 13438667849728000 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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