213121516748400
213,121,516,748,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 213121516748400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
213121516748400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 213121516748400:
24 × 311 × 52 × 133 × 372
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 13 × 37 × 37)See below for interesting mathematical facts about the number 213121516748400 from the Numbermatics database.
Names of 213121516748400
- Cardinal: 213121516748400 can be written as Two hundred thirteen trillion, one hundred twenty-one billion, five hundred sixteen million, seven hundred forty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.131215167484 × 1014
Factors of 213121516748400
Divisors of 213121516748400
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 36 37 39 40 45 48 50 52 54 60 65 72 74 75 78 80 81 90 100 104 108 111 117 120 130 135 144 148 150 156 162 169 180 185 195 200 208 216 222 225 234 240 243 260 270 296 300 312 324 325 333 338 351 360 370 390 400 405 432 444 450 468 481 486 507 520 540 555 585 592 600 624 648 650 666 675 676 702 720 729 740 780 810 845 888 900 925 936 962 972 975 999 1014 1040 1053 1080 1110 1170 1200 1215 1296 1300 1332 1350 1352 1369 1404 1443 1458 1480 1521 1560 1620 1665 1690 1755 1776 1800 1850 1872 1924 1944 1950 1998 2025 2028 2106 2160 2187 2197 2220 2340 2405 2430 2535 2600 2664 2700 2704 2738 2775 2808 2886 2916 2925 2960 2997 3042 3120 3159 3240 3330 3380 3510 3600 3645 3700 3848 3888 3900 3996 4050 4056 4107 4212 4225 4329 4374 4394 4440 4563 4680 4810 4860 4995 5070 5200 5265 5328 5400 5476 5550 5616 5772 5832 5850 5994 6075 6084 6253 6318 6480 6561 6591 6660 6760 6845 7020 7215 7290 7400 7605 7696 7800 7992 8100 8112 8214 8325 8424 8450 8658 8748 8775 8788 8880 8991 9126 9360 9477 9620 9720 9990 10140 10530 10800 10935 10952 10985 11100 11544 11664 11700 11988 12025 12150 12168 12321 12506 12636 12675 12987 13122 13182 13320 13520 13689 13690 14040 14430 14580 14800 14985 15210 15600 15795 15984 16200 16428 16650 16848 16900 17316 17496 17550 17576 17797 17982 18225 18252 18759 18954 19240 19440 19683 19773 19980 20280 20535 21060 21645 21870 21904 21970 22200 22815 23088 23400 23976 24050 24300 24336 24642 24975 25012 25272 25350 25974 26244 26325 26364 26640 26973 27378 27380 28080 28431 28860 29160 29970 30420 31265 31590 32400 32805 32856 32955 33300 33800 34225 34632 34992 35100 35152 35594 35964 36075 36450 36504 36963 37518 37908 38025 38480 38961 39366 39546 39960 40560 41067 41070 42120 43290 43740 43940 44400 44955 45630 46800 47385 47952 48100 48600 49284 49950 50024 50544 50700 51948 52488 52650 52728 53391 53946 54675 54756 54760 54925 56277 56862 57720 58320 59049 59319 59940 60840 61605 62530 63180 64935 65610 65712 65910 66600 67600 68445 68450 69264 70200 71188 71928 72150 72900 73008 73926 74925 75036 75816 76050 77922 78732 78975 79092 79920 80919 81289 82134 82140 84240 85293 86580 87480 87880 88985 89910 91260 93795 94770 96200 97200 98415 98568 98865 99900 100048 101400 102675 103896 104976 105300 105456 106782 107892 108225 109350 109512 109520 109850 110889 112554 113724 114075 115440 116883 118098 118638 119880 121680 123201 123210 125060 126360 129870 131220 131820 133200 134865 136890 136900 140400 142155 142376 143856 144300 145800 147852 149850 150072 151632 152100 155844 156325 157464 157950 158184 160173 161838 162578 164025 164268 164280 164775 168831 170586 173160 174960 175760 177147 177957 177970 179820 182520 184815 187590 189540 192400 194805 196830 197136 197730 199800 202800 205335 205350 207792 210600 213564 215784 216450 218700 219024 219700 221778 224775 225108 227448 228150 231361 233766 236196 236925 237276 239760 242757 243867 246402 246420 250120 252720 255879 259740 262440 263640 266955 269730 273780 273800 281385 284310 284752 288600 291600 295245 295704 296595 299700 300144 304200 308025 311688 312650 314928 315900 316368 320346 323676 324675 325156 328050 328536 328560 329550 332667 337662 341172 342225 346320 350649 354294 355914 355940 359640 365040 369603 369630 375180 379080 389610 393660 395460 399600 404595 406445 410670 410700 421200 426465 427128 431568 432900 437400 439400 443556 444925 449550 450216 454896 456300 462722 467532 468975 472392 473850 474552 480519 485514 487734 492075 492804 492840 494325 500240 506493 511758 519480 524880 527280 533871 533910 539460 547560 547600 554445 562770 568620 577200 584415 590490 591408 593190 599400 608400 616005 616050 623376 625300 631800 640692 647352 649350 650312 656100 657072 659100 665334 674325 675324 682344 684450 694083 701298 708588 710775 711828 711880 719280 728271 731601 739206 739260 750360 758160 767637 779220 787320 790920 800865 809190 812890 821340 821400 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1624154220 1641037320 1686621690 1704154140 1729742040 1729868400 1751491755 1777790430 1796401800 1804615800 1823374800 1846166985 1868257872 1874024100 1893504600 1921935600 1940113944 1945959795 1946101950 1948985064 1969244784 1975322700 1995856200 2020952025 2023946028 2030192775 2051296650 2075690448 2101790106 2130192675 2133348516 2155682160 2162177550 2165538960 2192608197 2215400382 2248828920 2272205520 2335322340 2370387240 2395027440 2425142430 2436231330 2461555980 2498698800 2529932535 2594613060 2594802600 2621775600 2633763600 2666685645 2694602700 2698594704 2706923700 2735062200 2802386808 2811036150 2840256900 2844464688 2882903400 2919152925 2923477596 2953867176 2962984050 2993784300 3035919042 3076944975 3113535672 3113763120 3152685159 3200022774 3233523240 3243266325 3248308440 3282074640 3373243380 3408308280 3459484080 3502983510 3555580860 3592803600 3609231600 3654346995 3692333970 3748048200 3787009200 3880227888 3891919590 3892203900 3897970128 3950645400 3991712400 4041904050 4047892056 4060385550 4102593300 4203580212 4216554225 4260385350 4266697032 4324355100 4385216394 4430800764 4444476075 4497657840 4553878563 4670644680 4740774480 4800034161 4850284860 4872462660 4923111960 5059865070 5189226120 5189605200 5254475265 5333371290 5389205400 5413847400 5470124400 5538500955 5604773616 5622072300 5680513800 5765806800 5838305850 5846955192 5907734352 5925968100 5987568600 6062856075 6071838084 6090578325 6153889950 6227071344 6305370318 6400045548 6467046480 6486532650 6496616880 6577824591 6746486760 6816616560 7005967020 7111161720 7308693990 7384667940 7496096400 7589797605 7783839180 7784407800 7901290800 8000056935 8083808100 8095784112 8120771100 8205186600 8407160424 8433108450 8520770700 8533394064 8648710200 8757458775 8770432788 8861601528 8888952150 9107757126 9230834925 9341289360 9600068322 9700569720 9729798975 9744925320 9846223920 10119730140 10378452240 10508950530 10666742580 10778410800 10827694800 10963040985 11077001910 11244144600 11361027600 11676611700 11693910384 11851936200 11975137200 12125712150 12143676168 12181156650 12307779900 12610740636 12649662675 12800091096 12973065300 13155649182 13333428225 13492973520 13661635689 14011934040 14222323440 14400102483 14617387980 14769335880 15179595210 15567678360 15568815600 15763425795 16000113870 16167616200 16241542200 16410373200 16814320848 16866216900 17041541400 17297420400 17514917550 17540865576 17723203056 17777904300 18215514252 18271734975 18461669850 19200136644 19401139440 19459597950 19489850640 19733473773 20239460280 21017901060 21333485160 21926081970 22154003820 22488289200 22769392815 23353223400 23703872400 24000170805 24251424300 24287352336 24362313300 24615559800 25221481272 25299325350 25600182192 25946130600 26272376325 26311298364 26666856450 27323271378 27692504775 28023868080 28800204966 29234775960 29538671760 30359190420 31135356720 31526851590 32000227740 32335232400 32483084400 32889122955 33732433800 34083082800 35029835100 35081731152 35555808600 36431028504 36543469950 36923339700 37948988025 38400273288 38919195900 39466947546 40000284675 40478920560 40984907067 42035802120 42666970320 43852163940 44308007640 45538785630 46706446800 48000341610 48502848600 48724626600 49231119600 50442962544 50598650700 51892261200 52544752650 52622596728 53333712900 54646542756 54815204925 55385009550 57600409932 58469551920 59200421319 60718380840 63053703180 64000455480 65778245910 67464867600 68308178445 70059670200 71111617200 72000512415 72862057008 73086939900 73846679400 75897976050 76800546576 77838391800 78817128975 78933895092 80000569350 81969814134 84071604240 87704327880 88616015280 91077571260 96000683220 97005697200 97449253200 98667368865 101197301400 105089505300 105245193456 106667425800 109293085512 109630409850 110770019100 113846964075 115200819864 118400842638 120000854025 121436761680 126107406360 128000910960 131556491820 136616356890 140119340400 144001024830 146173879800 147693358800 151795952100 155676783600 157634257950 157867790184 160001138700 163939628268 164445614775 175408655760 177601263957 182155142520 192001366440 197334737730 202394602800 204924535335 210179010600 213334851600 218586171024 219260819700 221540038200 227693928150 230401639728 236801685276 240001708050 252214812720 263112983640 273232713780 288002049660 292347759600 296002106595 303591904200 315268515900 315735580368 320002277400 327879256536 328891229550 341540892225 355202527914 360002562075 364310285040 384002732880 394669475460 409849070670 420358021200 438521639400 443080076400 455387856300 473603370552 480003416100 493336844325 526225967280 532803791871 546465427560 576004099320 592004213190 607183808400 630537031800 640004554800 655758513072 657782459100 683081784450 710405055828 720005124150 789338950920 819698141340 877043278800 888006319785 910775712600 947206741104 960006832200 986673688650 1024622676675 1065607583742 1092930855120 1152008198640 1184008426380 1261074063600 1315564918200 1366163568900 1420810111656 1440010248300 1480010532975 1578677901840 1639396282680 1776012639570 1821551425200 1920013664400 1973347377300 2049245353350 2131215167484 2368016852760 2631129836400 2664018959355 2732327137800 2841620223312 2880020496600 2960021065950 3278792565360 3552025279140 3946694754600 4098490706700 4262430334968 4440031598925 4736033705520 5328037918710 5464654275600 5760040993200 5920042131900 7104050558280 7893389509200 8196981413400 8524860669936 8880063197850 10656075837420 11840084263800 13320094796775 14208101116560 16393962826800 17760126395700 21312151674840 23680168527600 26640189593550 35520252791400 42624303349680 53280379187100 71040505582800 106560758374200 213121516748400
- Sum of all divisors σ(n): 855103503727200
- Sum of proper divisors (its aliquot sum) s(n): 641981986978800
- 213121516748400 is an abundant number, because the sum of its proper divisors (641981986978800) is greater than itself. Its abundance is 428860470230400
Bases of 213121516748400
- Binary: 1100000111010101001110000100110010111110011100002
- Hexadecimal: 0xC1D5384CBE70
- Base-36: 23JMO8FR00
Squares and roots of 213121516748400
- 213121516748400 squared (2131215167484002) is 45420780901138541708902560000
- 213121516748400 cubed (2131215167484003) is 9680145717547404561442628898423635904000000
-
The
square root of 213121516748400 is 14598682.0209359997 -
The
cube root of 213121516748400 is 59732.2809919109
Scales and comparisons
How big is 213121516748400?- 213,121,516,748,400 seconds is equal to 6,776,605 years, 1 day, 15 hours.
-
To count from 1 to 213,121,516,748,400 would take you about sixteen million, nine hundred forty-one thousand, five hundred twelve 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 213121516748400 cubic inches would be around 4977.7 feet tall.
Recreational maths with 213121516748400
- 213121516748400 backwards is 004847615121312
- 213121516748400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 213121516748400's digits is 45
- More coming soon!
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"Number 213121516748400 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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The information we have on file for 213121516748400 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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