12201200138400
12,201,200,138,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 12201200138400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
12201200138400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12201200138400:
25 × 3 × 52 × 7 × 13 × 172 × 61 × 3169
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 17 × 17 × 61 × 3169)See below for interesting mathematical facts about the number 12201200138400 from the Numbermatics database.
Names of 12201200138400
- Cardinal: 12201200138400 can be written as Twelve trillion, two hundred one billion, two hundred million, one hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 1.22012001384 × 1013
Factors of 12201200138400
Divisors of 12201200138400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 17 20 21 24 25 26 28 30 32 34 35 39 40 42 48 50 51 52 56 60 61 65 68 70 75 78 80 84 85 91 96 100 102 104 105 112 119 120 122 130 136 140 150 156 160 168 170 175 182 183 195 200 204 208 210 221 224 238 240 244 255 260 272 273 280 289 300 305 312 325 336 340 350 357 364 366 390 400 408 416 420 425 427 442 455 476 480 488 510 520 525 544 546 560 578 595 600 610 624 650 663 672 680 700 714 728 732 780 793 800 816 840 850 854 867 884 910 915 952 975 976 1020 1037 1040 1050 1092 1105 1120 1156 1190 1200 1220 1248 1275 1281 1300 1326 1360 1365 1400 1428 1445 1456 1464 1525 1547 1560 1586 1632 1680 1700 1708 1734 1768 1785 1820 1830 1904 1950 1952 2023 2040 2074 2080 2100 2135 2184 2210 2275 2312 2379 2380 2400 2440 2550 2562 2600 2652 2720 2730 2800 2856 2890 2912 2928 2975 3050 3094 3111 3120 3169 3172 3315 3360 3400 3416 3468 3536 3570 3640 3660 3757 3808 3900 3965 4046 4080 4148 4200 4270 4335 4368 4420 4550 4575 4624 4641 4758 4760 4880 5100 5124 5185 5200 5304 5460 5525 5551 5600 5712 5780 5856 5950 6069 6100 6188 6222 6240 6338 6344 6405 6630 6800 6825 6832 6936 7072 7140 7225 7259 7280 7320 7514 7735 7800 7930 8092 8160 8296 8400 8540 8670 8736 8840 8925 9100 9150 9248 9282 9507 9516 9520 9760 10115 10200 10248 10370 10400 10608 10675 10920 11050 11102 11271 11424 11560 11895 11900 12138 12200 12376 12444 12676 12688 12810 13260 13481 13600 13650 13664 13872 14280 14450 14518 14560 14640 15028 15470 15555 15600 15845 15860 16184 16575 16592 16653 16800 17080 17340 17629 17680 17850 18200 18300 18564 18785 19014 19032 19040 19825 20230 20400 20496 20740 21216 21350 21675 21777 21840 22100 22183 22204 22542 23120 23205 23790 23800 24276 24400 24752 24888 25352 25376 25620 25925 26299 26520 26962 27300 27744 27755 28560 28900 29036 29280 30056 30345 30940 31110 31200 31690 31720 32025 32368 33150 33184 33306 34160 34680 35258 35360 35700 36295 36400 36600 37128 37570 38028 38064 38675 39650 40443 40460 40800 40992 41197 41480 42700 43350 43554 43680 44200 44366 44408 45084 46240 46410 47535 47580 47600 48552 48800 49504 49776 50575 50704 51240 51850 52598 52887 53040 53873 53924 54600 55510 56355 57120 57800 58072 59475 60112 60690 61880 62220 63380 63440 64050 64736 66300 66549 66612 67405 68320 69360 70516 71400 72590 72800 73200 74256 75140 76056 76128 77350 77775 78897 79225 79300 80886 80920 82394 82960 83265 85400 86700 87108 88145 88400 88732 88816 90168 92820 93925 94367 95070 95160 95200 97104 99552 101150 101408 102480 103700 105196 105774 106080 107746 107848 108885 109200 110915 111020 112710 115600 116025 116144 118950 120224 121380 123403 123591 123760 124440 126760 126880 128100 131495 132600 133098 133224 134810 138720 138775 141032 142800 145180 146400 148512 150280 151725 152112 154700 155550 157794 158450 158600 161619 161772 161840 164788 165920 166530 170800 173400 174216 176290 176800 177464 177632 180336 181475 185640 187850 188734 190140 190320 193309 194208 202215 202300 204960 205985 207400 210392 211548 215492 215696 217770 218400 221830 222040 225420 229177 231200 232050 232288 237675 237900 242760 246806 247182 247520 248880 253520 256200 262990 264435 265200 266196 266448 269365 269620 277550 281775 282064 283101 285600 288379 290360 300560 303450 304224 309400 311100 315588 316900 317200 323238 323544 323680 329576 332745 333060 337025 341600 346800 348432 352580 354928 360672 362950 370209 371280 375700 377111 377468 380280 380640 386618 394485 404430 404600 411970 414800 416325 420784 423096 430984 431392 435540 440725 443660 444080 450840 458354 464100 471835 475350 475800 485520 493612 494364 497760 507040 512400 525980 528870 530400 532392 532896 538730 539240 544425 554575 555100 563550 564128 566202 576758 579927 580720 601120 606900 617015 617955 618800 622200 631176 633800 634400 646476 647088 657475 659152 665490 666120 674050 687531 693600 696864 700349 705160 709856 725900 740418 742560 751400 754222 754936 760560 773236 788970 808095 808860 809200 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25130170 25643548 25667824 25859040 26290024 26619600 27063260 27475230 27501240 27684384 28013960 28283325 28310100 28837900 28996350 29306912 29414658 29616720 30156204 30168880 30929440 31558800 32054435 32084780 32323800 32354400 32475912 32862530 32957600 33616752 33829075 34376550 34605480 35017450 35182238 35717799 36202656 36633640 36668320 37020900 37695255 37711100 37746800 38465322 38501736 38661800 39219544 39435036 40105975 40208272 40594890 42020940 42309600 42721289 43098400 43256850 43301216 43960368 45253320 45296160 45792050 45835400 46007542 46140640 46394160 47623732 48127170 49024430 49293795 49361200 49436400 50260340 51287096 51335648 52526175 52580048 52773357 53239200 54126520 54950460 55002480 55866301 56027920 56566650 56620200 57675800 57992700 58829316 59233440 59529665 60312408 60337760 62825425 63117600 64108870 64169560 64647600 64951824 65725060 67233504 67658150 68688075 68753100 69011313 69210960 70034900 70364476 71435598 73267280 73536645 74041800 75390510 75422200 75493600 76930644 77003472 77323600 78439088 78870072 80211950 80416544 81189780 82156325 83341531 84041880 85442578 86513700 87920736 87955595 90506640 91584100 91670800 92015084 92788320 95247464 96163305 96254340 98048860 98587590 98722400 98872800 100520680 101487225 102574192 105052350 105160096 105546714 108253040 109900920 110004960 111732602 112055840 113133300 113240400 115018855 115351600 115985400 117658632 119059330 120317925 120624816 122561075 125650850 128163867 128217740 128339120 129295200 129903648 131450120 135316300 137376150 137506200 138022626 138421920 140069800 140728952 142871196 146534560 147073290 148083600 150781020 150844400 153861288 154006944 154647200 156878176 157740144 160272175 160423900 162379560 164312650 166683062 167598903 168083760 170885156 173027400 175911190 178588995 181013280 183168200 183341600 184030168 188476275 190494928 192326610 192508680 196097720 197175180 201041360 202974450 205148384 210104700 211093428 213606445 216506080 219801840 223465204 226266600 226480800 230037710 230703200 231970800 235317264 238118660 240635850 241249632 245122150 246468975 250024593 251301700 256327734 256435480 256678240 262900240 263866785 270632600 274752300 275012400 276045252 279331505 280139600 281457904 285742392 294146580 296167200 297648325 299049023 301562040 301688800 307722576 315480288 320544350 320847800 324759120 328625300 333366124 335197806 336167520 341770312 345056565 346054800 351822380 357177990 366336400 367683225 368060336 376952550 380989856 384653220 385017360 391064107 392195440 394350360 402082720 405948900 416707655 420209400 422186856 427212890 439603680 439777975 446930408 452533200 460075420 463941600 470634528 476237320 480816525 481271700 490244300 492937950 500049186 502603400 512655468 512870960 525800480 527733570 541265200 549504600 550024800 552090504 558663010 560279200 562915808 571484784 575094275 588293160 595296650 598098046 603124080 615445152 640819335 641088700 641695600 649518240 657250600 666732248 670395612 683540624 690113130 692109600 703644760 714355980 726261913 732672800 735366450 736120672 753905100 769306440 770034720 782128214 784390880 788700720 811897800 833415310 837994515 840418800 844373712 854425780 879555950 892944975 893860816 897147069 905066400 920150840 952474640 961633050 962543400 980488600 985875900 1000098372 1005206800 1025310936 1025741920 1055467140 1068032225 1082530400 1099009200 1104181008 1117326020 1142969568 1150188550 1173192321 1176586320 1190593300 1196196092 1206248160 1250122965 1281638670 1282177400 1283391200 1314501200 1319333925 1333464496 1340791224 1367081248 1380226260 1396657525 1407289520 1428711960 1452523826 1470732900 1495245115 1507810200 1538612880 1564256428 1577401440 1623795600 1666830620 1675989030 1680837600 1688747424 1708851560 1725282825 1759111900 1785889950 1787721632 1794294138 1840301680 1904949280 1923266100 1925086800 1955320535 1960977200 1971751800 2000196744 2010413600 2050621872 2083538275 2110934280 2136064450 2178785739 2198018400 2208362016 2234652040 2300377100 2346384642 2353172640 2381186600 2392392184 2500245930 2563277340 2564354800 2629002400 2638667850 2666928992 2681582448 2760452520 2793315050 2814579040 2857423920 2905047652 2941465800 2990490230 3015620400 3077225760 3128512856 3204096675 3247591200 3333661240 3351978060 3417703120 3450565650 3518223800 3571779900 3588588276 3631309565 3680603360 3846532200 3850173600 3910641070 3921954400 3943503600 4000393488 4101243744 4167076550 4189972575 4221868560 4272128900 4357571478 4469304080 4485735345 4600754200 4692769284 4762373200 4784784368 5000491860 5083833391 5126554680 5128709600 5277335700 5363164896 5520905040 5586630100 5714847840 5810095304 5865961605 5882931600 5980980460 6031240800 6250614825 6257025712 6408193350 6667322480 6703956120 6835406240 6901131300 7036447600 7143559800 7177176552 7262619130 7476225575 7693064400 7821282140 7887007200 8000786976 8334153100 8379945150 8443737120 8544257800 8715142956 8938608160 8971470690 9201508400 9385538568 9524746400 9569568736 9776602675 10000983720 10167666782 10253109360 10554671400 10893928695 11041810080 11173260200 11620190608 11731923210 11765863200 11961960920 12501229650 12514051424 12816386700 13334644960 13407912240 13802262600 14072895200 14287119600 14354353104 14525238260 14952451150 15251500173 15386128800 15642564280 16668306200 16759890300 17088515600 17430285912 17942941380 18156547825 18403016800 18771077136 19553205350 20001967440 20335333564 20506218720 21109342800 21787857390 22346520400 22428676725 23240381216 23463846420 23923921840 25002459300 25419166955 25632773400 26815824480 27604525200 28574239200 28708706208 29050476520 29329808025 29904902300 30503000346 31285128560 33336612400 33519780600 34177031200 34860571824 35885882760 36313095650 37542154272 39106410700 40003934880 40670667128 42218685600 43575714780 44693040800 44857353450 46927692840 47847843680 50004918600 50838333910 51265546800 54469643475 55209050400 58100953040 58659616050 59809804600 61006000692 62570257120 66673224800 67039561200 69721143648 71771765520 72626191300 76257500865 78212821400 81341334256 87151429560 89714706900 93855385680 100009837200 101676667820 102531093600 108939286950 116201906080 117319232100 119619609200 122012001384 127095834775 134079122400 143543531040 145252382600 152515001730 156425642800 162682668512 174302859120 179429413800 187710771360 200019674400 203353335640 217878573900 234638464200 239239218400 244024002768 254191669550 290504765200 305030003460 312851285600 348605718240 358858827600 381287504325 406706671280 435757147800 469276928400 488048005536 508383339100 581009530400 610060006920 717717655200 762575008650 813413342560 871514295600 938553856800 1016766678200 1220120013840 1525150017300 1743028591200 2033533356400 2440240027680 3050300034600 4067066712800 6100600069200 12201200138400
- Sum of all divisors σ(n): 52792178584320
- Sum of proper divisors (its aliquot sum) s(n): 40590978445920
- 12201200138400 is an abundant number, because the sum of its proper divisors (40590978445920) is greater than itself. Its abundance is 28389778307520
Bases of 12201200138400
- Binary: 101100011000110100000011001100111000101000002
- Hexadecimal: 0xB18D03338A0
- Base-36: 4BP5JJBMO
Squares and roots of 12201200138400
- 12201200138400 squared (122012001384002) is 148869284817292179154560000
- 12201200138400 cubed (122012001384003) is 1816383938516254355013855066991104000000
-
The
square root of 12201200138400 is 3493021.6344019397 -
The
cube root of 12201200138400 is 23021.5300214457
Scales and comparisons
How big is 12201200138400?- 12,201,200,138,400 seconds is equal to 387,960 years, 22 weeks, 4 hours, 40 minutes.
-
To count from 1 to 12,201,200,138,400 would take you about nine hundred sixty-nine thousand, nine hundred one 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 12201200138400 cubic inches would be around 1918.5 feet tall.
Recreational maths with 12201200138400
- 12201200138400 backwards is 00483100210221
- 12201200138400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12201200138400's digits is 24
- More coming soon!
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"Number 12201200138400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 12201200138400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/12201200138400/
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The information we have on file for 12201200138400 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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