13342645327104000
13,342,645,327,104,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13342645327104000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1920 divisors.
13342645327104000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13342645327104000:
211 × 34 × 53 × 29 × 2813
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 281 × 281 × 281)See below for interesting mathematical facts about the number 13342645327104000 from the Numbermatics database.
Names of 13342645327104000
- Cardinal: 13342645327104000 can be written as Thirteen quadrillion, three hundred forty-two trillion, six hundred forty-five billion, three hundred twenty-seven million, one hundred four thousand.
Scientific notation
- Scientific notation: 1.3342645327104 × 1016
Factors of 13342645327104000
Divisors of 13342645327104000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 81 87 90 96 100 108 116 120 125 128 135 144 145 150 160 162 174 180 192 200 216 225 232 240 250 256 261 270 281 288 290 300 320 324 348 360 375 384 400 405 432 435 450 464 480 500 512 522 540 562 576 580 600 640 648 675 696 720 725 750 768 783 800 810 843 864 870 900 928 960 1000 1024 1044 1080 1124 1125 1152 1160 1200 1280 1296 1305 1350 1392 1405 1440 1450 1500 1536 1566 1600 1620 1686 1728 1740 1800 1856 1920 2000 2025 2048 2088 2160 2175 2248 2250 2304 2320 2349 2400 2529 2560 2592 2610 2700 2784 2810 2880 2900 3000 3072 3132 3200 3240 3372 3375 3456 3480 3600 3625 3712 3840 3915 4000 4050 4176 4215 4320 4350 4496 4500 4608 4640 4698 4800 5058 5120 5184 5220 5400 5568 5620 5760 5800 6000 6144 6264 6400 6480 6525 6744 6750 6912 6960 7025 7200 7250 7424 7587 7680 7830 8000 8100 8149 8352 8430 8640 8700 8992 9000 9216 9280 9396 9600 10116 10125 10240 10368 10440 10800 10875 11136 11240 11520 11600 11745 12000 12528 12645 12800 12960 13050 13488 13500 13824 13920 14050 14400 14500 14848 15174 15360 15660 16000 16200 16298 16704 16860 17280 17400 17984 18000 18432 18560 18792 19200 19575 20232 20250 20736 20880 21075 21600 21750 22272 22480 22761 23040 23200 23490 24000 24447 25056 25290 25600 25920 26100 26976 27000 27648 27840 28100 28800 29000 29696 30348 30720 31320 32000 32400 32596 32625 33408 33720 34560 34800 35125 35968 36000 37120 37584 37935 38400 39150 40464 40500 40745 41472 41760 42150 43200 43500 44544 44960 45522 46080 46400 46980 48000 48894 50112 50580 51200 51840 52200 53952 54000 55296 55680 56200 57600 58000 58725 59392 60696 62640 63225 64000 64800 65192 65250 66816 67440 69120 69600 70250 71936 72000 73341 74240 75168 75870 76800 78300 78961 80928 81000 81490 82944 83520 84300 86400 87000 89088 89920 91044 92160 92800 93960 96000 97788 97875 100224 101160 103680 104400 105375 107904 108000 111360 112400 113805 115200 116000 117450 121392 122235 125280 126450 128000 129600 130384 130500 133632 134880 138240 139200 140500 143872 144000 146682 148480 150336 151740 153600 156600 157922 161856 162000 162980 165888 167040 168600 172800 174000 178176 179840 182088 185600 187920 189675 192000 195576 195750 200448 202320 203725 207360 208800 210750 215808 216000 220023 222720 224800 227610 230400 232000 234900 236883 242784 244470 250560 252900 256000 259200 260768 261000 267264 269760 276480 278400 281000 287744 288000 293364 293625 296960 300672 303480 313200 315844 316125 323712 324000 325960 334080 337200 345600 348000 359680 364176 366705 371200 375840 379350 384000 391152 391500 394805 400896 404640 407450 414720 417600 421500 431616 432000 440046 445440 449600 455220 460800 464000 469800 473766 485568 488940 501120 505800 518400 521536 522000 534528 539520 556800 562000 569025 575488 576000 586728 587250 601344 606960 611175 626400 631688 632250 647424 648000 651920 660069 668160 674400 691200 696000 710649 719360 728352 733410 742400 751680 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3553245 3596800 3641760 3667050 3712000 3758400 3790128 3793500 3884544 3911520 3948050 4008960 4046400 4074500 4147200 4172288 4176000 4263894 4316160 4400460 4454400 4496000 4552200 4579738 4693824 4698000 4737660 4810752 4855680 4889400 5011200 5053504 5058000 5179392 5184000 5215360 5280552 5395200 5500575 5568000 5685192 5690250 5826816 5867280 5922075 6013440 6069600 6111750 6258432 6264000 6316880 6395841 6474240 6519200 6600690 6681600 6744000 6869607 6912000 7040736 7106490 7193600 7283520 7334100 7424000 7516800 7580256 7587000 7769088 7823040 7896100 8017920 8092800 8149000 8344576 8352000 8527788 8632320 8800920 8992000 9104400 9159476 9167625 9387648 9396000 9475320 9711360 9778800 9870125 10022400 10107008 10116000 10368000 10430720 10561104 10659735 10790400 11001150 11136000 11370384 11380500 11449345 11653632 11734560 11844150 12026880 12139200 12223500 12516864 12528000 12633760 12791682 12948480 13038400 13201380 13363200 13488000 13739214 14081472 14212980 14387200 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340808309760 347464722060 351723878400 355008656000 359446264200 370629036864 370958778000 379861788672 383409348480 386071913400 395689363200 399384738000 408969971712 409333824000 411810040960 416957666472 426010387200 434330902575 439654848000 449307830250 460091218176 463286296080 474827235840 479261685600 482589891750 494172049152 494611704000 511212464640 514762551200 521197083090 527585817600 532512984000 545778432000 555943555296 568013849600 575114022720 579107870100 586206464000 593534044800 599077107000 613454957568 617715061440 633102981120 639015580800 643453189000 658896065536 659482272000 681616619520 694929444120 710017312000 718892528400 723884837625 741258073728 741917556000 766818696960 772143826800 791378726400 798769476000 818667648000 823620081920 833915332944 852020774400 868661805150 879309696000 898615660500 920182436352 926572592160 949654471680 958523371200 965179783500 988344098304 989223408000 1022424929280 1029525102400 1042394166180 1055171635200 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3860719134000 3953376393216 3956893632000 4118100409600 4169576664720 4260103872000 4343309025750 4447548442368 4600912181760 4632862960800 4748272358400 4792616856000 4941720491520 5112124646400 5147625512000 5211970830900 5275858176000 5559435552960 5680138496000 5751140227200 5791078701000 5930064589824 5935340448000 6134549575680 6177150614400 6390155808000 6514963538625 6588960655360 6671322663552 6949294441200 7188925284000 7412580737280 7668186969600 7721438268000 7913787264000 8236200819200 8339153329440 8520207744000 8686618051500 8895096884736 9201824363520 9265725921600 9496544716800 9585233712000 9883440983040 10224249292800 10295251024000 10423941661800 11118871105920 11502280454400 11582157402000 11860129179648 11870680896000 12354301228800 12780311616000 13029927077250 13342645327104 13898588882400 14377850568000 14825161474560 15336373939200 15442876536000 15827574528000 16472401638400 16678306658880 17040415488000 17373236103000 17790193769472 18403648727040 18531451843200 19170467424000 19766881966080 20590502048000 20847883323600 22237742211840 23004560908800 23164314804000 23741361792000 24708602457600 25560623232000 26059854154500 26685290654208 27797177764800 28755701136000 29650322949120 30672747878400 30885753072000 32944803276800 33356613317760 34746472206000 35580387538944 37062903686400 38340934848000 41181004096000 41695766647200 44475484423680 46009121817600 46328629608000 47482723584000 49417204915200 51121246464000 52119708309000 53370581308416 55594355529600 57511402272000 59300645898240 61771506144000 66713226635520 69492944412000 74125807372800 76681869696000 82362008192000 83391533294400 88950968847360 92018243635200 92657259216000 98834409830400 104239416618000 106741162616832 111188711059200 115022804544000 123543012288000 133426453271040 138985888824000 148251614745600 153363739392000 164724016384000 166783066588800 177901937694720 185314518432000 208478833236000 222377422118400 230045609088000 247086024576000 266852906542080 277971777648000 296503229491200 333566133177600 370629036864000 416957666472000 444754844236800 460091218176000 494172049152000 533705813084160 555943555296000 667132266355200 741258073728000 833915332944000 889509688473600 1111887110592000 1334264532710400 1482516147456000 1667830665888000 2223774221184000 2668529065420800 3335661331776000 4447548442368000 6671322663552000 13342645327104000
- Sum of all divisors σ(n): 51635974504514400
- Sum of proper divisors (its aliquot sum) s(n): 38293329177410400
- 13342645327104000 is an abundant number, because the sum of its proper divisors (38293329177410400) is greater than itself. Its abundance is 24950683850306400
Bases of 13342645327104000
- Binary: 1011110110011100010000101100110001011000001000000000002
- Hexadecimal: 0x2F6710B3160800
- Base-36: 3NDKMN6V400
Squares and roots of 13342645327104000
- 13342645327104000 squared (133426453271040002) is 178026184324890207157026816000000
- 13342645327104000 cubed (133426453271040003) is 2375340236384651695481554383260419620864000000000
-
The
square root of 13342645327104000 is 115510368.9159722145 -
The
cube root of 13342645327104000 is 237181.4104002415
Scales and comparisons
How big is 13342645327104000?- 13,342,645,327,104,000 seconds is equal to 424,254,849 years, 46 weeks, 2 days.
-
To count from 1 to 13,342,645,327,104,000 would take you about one billion, two hundred seventy-two million, seven hundred sixty-four thousand, five hundred forty-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 13342645327104000 cubic inches would be around 19765.1 feet tall.
Recreational maths with 13342645327104000
- 13342645327104000 backwards is 00040172354624331
- 13342645327104000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13342645327104000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 13342645327104000 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/13342645327104000/
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