213138299692800
213,138,299,692,800 is an even composite number composed of six prime numbers multiplied together.
213138299692800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 213138299692800:
28 × 32 × 52 × 83 × 149 × 5472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 83 × 149 × 547 × 547)See below for interesting mathematical facts about the number 213138299692800 from the Numbermatics database.
Names of 213138299692800
- Cardinal: 213138299692800 can be written as Two hundred thirteen trillion, one hundred thirty-eight billion, two hundred ninety-nine million, six hundred ninety-two thousand, eight hundred.
Scientific notation
- Scientific notation: 2.131382996928 × 1014
Factors of 213138299692800
Divisors of 213138299692800
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 83 90 96 100 120 128 144 149 150 160 166 180 192 200 225 240 249 256 288 298 300 320 332 360 384 400 415 447 450 480 498 547 576 596 600 640 664 720 745 747 768 800 830 894 900 960 996 1094 1152 1192 1200 1245 1280 1328 1341 1440 1490 1494 1600 1641 1660 1788 1800 1920 1992 2075 2188 2235 2304 2384 2400 2490 2656 2682 2735 2880 2980 2988 3200 3282 3320 3576 3600 3725 3735 3840 3984 4150 4376 4470 4768 4800 4923 4980 5312 5364 5470 5760 5960 5976 6225 6400 6564 6640 6705 7152 7200 7450 7470 7968 8205 8300 8752 8940 9536 9600 9846 9960 10624 10728 10940 11175 11520 11920 11952 12367 12450 13128 13280 13410 13675 14304 14400 14900 14940 15936 16410 16600 17504 17880 18675 19072 19200 19692 19920 21248 21456 21880 22350 23840 23904 24615 24734 24900 26256 26560 26820 27350 28608 28800 29800 29880 31872 32820 33200 33525 35008 35760 37101 37350 38144 39384 39840 41025 42912 43760 44700 45401 47680 47808 49230 49468 49800 52512 53120 53640 54700 57216 57600 59600 59760 61835 63744 65640 66400 67050 70016 71520 74202 74700 78768 79680 81503 82050 85824 87520 89400 90802 95360 95616 98460 98936 99600 105024 106240 107280 109400 111303 114432 119200 119520 123075 123670 131280 132800 134100 136203 140032 143040 148404 149400 157536 159360 163006 164100 171648 175040 178800 181604 185505 190720 191232 196920 197872 199200 210048 214560 218800 222606 227005 238400 239040 244509 246150 247340 262560 265600 268200 272406 286080 296808 298800 299209 309175 315072 318720 326012 328200 343296 350080 357600 363208 371010 393840 395744 398400 407515 408609 420096 429120 437600 445212 454010 476800 478080 489018 492300 494680 525120 531200 536400 544812 556515 572160 593616 597600 598418 618350 630144 652024 656400 681015 700160 715200 726416 733527 742020 787680 791488 796800 815030 817218 858240 875200 890424 897627 908020 927525 953600 956160 978036 984600 989360 1050240 1072800 1089624 1113030 1135025 1187232 1195200 1196836 1222545 1236700 1260288 1304048 1312800 1362030 1430400 1452832 1467054 1484040 1496045 1575360 1582976 1593600 1630060 1634436 1716480 1750400 1780848 1795254 1816040 1855050 1956072 1969200 1978720 2037575 2043045 2100480 2145600 2179248 2226060 2270050 2374464 2390400 2393672 2445090 2473400 2608096 2625600 2692881 2724060 2782575 2860800 2905664 2934108 2968080 2992090 3150720 3165952 3260120 3268872 3405075 3500800 3561696 3590508 3632080 3667635 3710100 3912144 3938400 3957440 4075150 4086090 4291200 4358496 4452120 4488135 4540100 4748928 4780800 4787344 4890180 4946800 5216192 5251200 5385762 5448120 5565150 5811328 5868216 5936160 5984180 6112725 6301440 6520240 6537744 6764749 6810150 7123392 7181016 7264160 7335270 7420200 7480225 7824288 7876800 7914880 8150300 8172180 8582400 8716992 8904240 8976270 9080200 9497856 9574688 9780360 9893600 10215225 10432384 10502400 10771524 10896240 11130300 11622656 11736432 11872320 11968360 12225450 13040480 13075488 13464405 13529498 13620300 14246784 14362032 14528320 14670540 14840400 14960450 15648576 15753600 15829760 16300600 16344360 17433984 17808480 17952540 18160400 18338175 19149376 19560720 19787200 20294247 20430450 20864768 21543048 21792480 22260600 22440675 23472864 23744640 23936720 24450900 24834347 26080960 26150976 26928810 27058996 27240600 28493568 28724064 29056640 29341080 29680800 29920900 31297152 31507200 32601200 32688720 33823745 34867968 35616960 35905080 36320800 36676350 38298752 39121440 39574400 40588494 40860900 43086096 43584960 44521200 44582141 44881350 46945728 47489280 47873440 48901800 49668694 52161920 52301952 53857620 54117992 54481200 57448128 58113280 58682160 59361600 59841800 60882741 62594304 65202400 65377440 67322025 67647490 71233920 71810160 72641600 73352700 74503041 76597504 78242880 79148800 81176988 81721800 86172192 87169920 89042400 89164282 89762700 93891456 95746880 97803600 99337388 101471235 104323840 104603904 107715240 108235984 108962400 114896256 117364320 118723200 119683600 121765482 124171735 130404800 130754880 133746423 134644050 135294980 142467840 143620320 145283200 146705400 149006082 156485760 162353976 163443600 169118725 172344384 174339840 178084800 178328564 179525400 187782912 191493760 195607200 198674776 202942470 215430480 216471968 217924800 222910705 223509123 229792512 234728640 237446400 239367200 243530964 248343470 260809600 261509760 267492846 269288100 270589960 287240640 290566400 293410800 298012164 304413705 312971520 324707952 326887200 338237450 344688768 356169600 356657128 359050800 372515205 382987520 391214400 397349552 401239269 405884940 430860960 432943936 435849600 445821410 447018246 469457280 478734400 487061928 496686940 507356175 521619200 523019520 534985692 538576200 541179920 574481280 586821600 596024328 608827410 620858675 649415904 653774400 668732115 676474900 689377536 712339200 713314256 718101600 745030410 782428800 794699104 802478538 811769880 861721920 865887872 871699200 891642820 894036492 938914560 957468800 974123856 993373880 1014712350 1069971384 1077152400 1082359840 1114553525 1117545615 1148962560 1173643200 1192048656 1217654820 1241717350 1298831808 1307548800 1337464230 1352949800 1426628512 1436203200 1490060820 1522068525 1564857600 1589398208 1604957076 1623539760 1723443840 1731775744 1783285640 1788072984 1862576025 1914937600 1948247712 1986747760 2006196345 2029424700 2139942768 2154304800 2164719680 2229107050 2235091230 2347286400 2384097312 2435309640 2483434700 2597663616 2615097600 2674928460 2705899600 2853257024 2872406400 2980121640 3044137050 3178796416 3209914152 3247079520 3343660575 3446887680 3566571280 3576145968 3700317703 3725152050 3896495424 3973495520 4012392690 4058849400 4279885536 4308609600 4329439360 4458214100 4470182460 4694572800 4768194624 4870619280 4966869400 5195327232 5349856920 5411799200 5587728075 5706514048 5744812800 5960243280 6088274100 6357592832 6419828304 6494159040 6687321150 7133142560 7152291936 7400635406 7450304100 7792990848 7946991040 8024785380 8117698800 8559771072 8617219200 8658878720 8916428200 8940364920 9536389248 9741238560 9933738800 10030981725 10699713840 10823598400 11100953109 11175456150 11413028096 11920486560 12176548200 12839656608 12988318080 13374642300 14266285120 14304583872 14801270812 14900608200 15585981696 15893982080 16049570760 16235397600 17119542144 17234438400 17832856400 17880729840 18501588515 19072778496 19482477120 19867477600 20061963450 21399427680 21647196800 22201906218 22350912300 23840973120 24353096400 25679313216 25976636160 26749284600 28532570240 28609167744 29602541624 29801216400 31787964160 32099141520 32470795200 33302859327 34239084288 35665712800 35761459680 37003177030 38964954240 39734955200 40123926900 42798855360 43294393600 44403812436 44701824600 47681946240 48706192800 51358626432 53498569200 55504765545 57065140480 57218335488 59205083248 59602432800 64198283040 64941590400 66605718654 71331425600 71522919360 74006354060 77929908480 79469910400 80247853800 85597710720 88807624872 89403649200 92507942575 95363892480 97412385600 102717252864 106997138400 111009531090 118410166496 119204865600 128396566080 129883180800 133211437308 142662851200 143045838720 148012708120 158939820800 160495707600 166514296635 171195421440 177615249744 178807298400 185015885150 194824771200 213994276800 222019062180 236820332992 238409731200 256793132160 266422874616 277523827725 285325702400 286091677440 296025416240 320991415200 333028593270 355230499488 357614596800 370031770300 389649542400 427988553600 444038124360 473640665984 476819462400 513586264320 532845749232 555047655450 592050832480 641982830400 666057186540 710460998976 715229193600 740063540600 832571483175 855977107200 888076248720 947281331968 1065691498464 1110095310900 1184101664960 1283965660800 1332114373080 1420921997952 1430458387200 1480127081200 1665142966350 1776152497440 2131382996928 2220190621800 2368203329920 2567931321600 2664228746160 2841843995904 2960254162400 3330285932700 3552304994880 4262765993856 4440381243600 4736406659840 5328457492320 5920508324800 6660571865400 7104609989760 8525531987712 8880762487200 10656914984640 11841016649600 13321143730800 14209219979520 17761524974400 21313829969280 23682033299200 26642287461600 35523049948800 42627659938560 53284574923200 71046099897600 106569149846400 213138299692800
- Sum of all divisors σ(n): 777796214340600
- Sum of proper divisors (its aliquot sum) s(n): 564657914647800
- 213138299692800 is an abundant number, because the sum of its proper divisors (564657914647800) is greater than itself. Its abundance is 351519614955000
Bases of 213138299692800
- Binary: 1100000111011001001000001010010000100111000000002
- Hexadecimal: 0xC1D920A42700
- Base-36: 23JUDSKHS0
Squares and roots of 213138299692800
- 213138299692800 squared (2131382996928002) is 45427934795937828574371840000
- 213138299692800 cubed (2131382996928003) is 9682432780961574118720936607424970752000000
-
The
square root of 213138299692800 is 14599256.8198795655 -
The
cube root of 213138299692800 is 59733.8488880929
Scales and comparisons
How big is 213138299692800?- 213,138,299,692,800 seconds is equal to 6,777,138 years, 33 weeks, 5 days, 16 hours.
-
To count from 1 to 213,138,299,692,800 would take you about sixteen million, nine hundred forty-two thousand, eight hundred forty-six 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 213138299692800 cubic inches would be around 4977.8 feet tall.
Recreational maths with 213138299692800
- 213138299692800 backwards is 008296992831312
- The number of decimal digits it has is: 15
- The sum of 213138299692800's digits is 63
- More coming soon!
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The information we have on file for 213138299692800 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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