13830103872000
13,830,103,872,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13830103872000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
13830103872000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 13830103872000:
29 × 32 × 53 × 13 × 23 × 131 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 23 × 131 × 613)See below for interesting mathematical facts about the number 13830103872000 from the Numbermatics database.
Names of 13830103872000
- Cardinal: 13830103872000 can be written as Thirteen trillion, eight hundred thirty billion, one hundred three million, eight hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.3830103872 × 1013
Factors of 13830103872000
Divisors of 13830103872000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 23 24 25 26 30 32 36 39 40 45 46 48 50 52 60 64 65 69 72 75 78 80 90 92 96 100 104 115 117 120 125 128 130 131 138 144 150 156 160 180 184 192 195 200 207 208 225 230 234 240 250 256 260 262 276 288 299 300 312 320 325 345 360 368 375 384 390 393 400 414 416 450 460 468 480 500 512 520 524 552 575 576 585 598 600 613 624 640 650 655 690 720 736 750 768 780 786 800 828 832 897 900 920 936 960 975 1000 1035 1040 1048 1104 1125 1150 1152 1170 1179 1196 1200 1226 1248 1280 1300 1310 1380 1440 1472 1495 1500 1536 1560 1572 1600 1625 1656 1664 1703 1725 1794 1800 1839 1840 1872 1920 1950 1965 2000 2070 2080 2096 2208 2250 2300 2304 2340 2358 2392 2400 2452 2496 2560 2600 2620 2691 2760 2875 2880 2925 2944 2990 3000 3013 3065 3120 3144 3200 3250 3275 3312 3328 3406 3450 3588 3600 3678 3680 3744 3840 3900 3930 4000 4140 4160 4192 4416 4485 4500 4600 4608 4680 4716 4784 4800 4875 4904 4992 5109 5175 5200 5240 5382 5517 5520 5750 5760 5850 5888 5895 5980 6000 6026 6130 6240 6288 6400 6500 6550 6624 6656 6812 6900 7176 7200 7356 7360 7475 7488 7680 7800 7860 7969 8000 8280 8320 8384 8515 8625 8832 8970 9000 9039 9195 9200 9360 9432 9568 9600 9750 9808 9825 9984 10218 10350 10400 10480 10764 11034 11040 11500 11520 11700 11776 11790 11960 12000 12052 12260 12480 12576 12800 13000 13100 13248 13455 13624 13800 14099 14352 14400 14625 14712 14720 14950 14976 15065 15325 15327 15600 15720 15938 16000 16375 16560 16640 16768 17030 17250 17664 17940 18000 18078 18390 18400 18720 18864 19136 19200 19500 19616 19650 19968 20436 20700 20800 20960 21528 22068 22080 22425 23000 23040 23400 23580 23907 23920 24000 24104 24520 24960 25152 25545 25875 26000 26200 26496 26910 27117 27248 27585 27600 28198 28704 28800 29250 29424 29440 29475 29900 29952 30130 30650 30654 31200 31440 31876 32000 32750 33120 33280 33536 34060 34500 35328 35880 36000 36156 36780 36800 37375 37440 37728 38272 38400 39000 39169 39232 39300 39845 40872 41400 41600 41920 42297 42575 43056 44136 44160 44850 45195 45975 46000 46800 47160 47814 47840 48000 48208 49040 49125 49920 50304 51090 51750 52000 52400 52992 53820 54234 54496 55170 55200 56396 57408 57600 58500 58848 58880 58950 59800 59904 60260 61300 61308 62400 62880 63752 64000 65500 66240 67072 67275 68120 69000 70495 71721 71760 72000 72312 73560 73600 74750 74880 75325 75456 76544 76625 76635 78000 78338 78464 78600 79690 80303 81744 82800 83200 83840 84594 85150 86112 88272 88320 89700 90390 91950 92000 93600 94320 95628 95680 96000 96416 98080 98250 99840 100608 102180 103500 104000 104800 105984 107640 108468 108992 110340 110400 112125 112792 114816 115200 117000 117507 117696 117900 119535 119600 120520 122600 122616 124800 125760 126891 127504 127725 131000 132480 134550 135585 136240 137925 138000 140990 143442 143520 144000 144624 147120 147200 147375 149500 149760 150650 150912 153088 153250 153270 156000 156676 156928 157200 159380 160606 163488 165600 166400 167680 169188 170300 172224 176544 176640 179400 180780 183287 183900 184000 187200 188640 191256 191360 192000 192832 195845 196160 196500 199225 201216 204360 207000 208000 209600 211485 212875 215280 216936 217984 220680 220800 224250 225584 225975 229632 229875 234000 235014 235392 235800 239070 239200 240909 241040 245200 245232 249600 251520 253782 255008 255450 262000 264960 269100 271170 272480 275850 276000 281980 286884 287040 288000 289248 294240 294400 294750 299000 299520 301300 301824 306500 306540 312000 313352 313856 314400 318760 321212 326976 331200 335360 336375 338376 340600 344448 352475 352521 353088 358605 358800 361560 366574 367800 368000 374400 376625 377280 382512 382720 383175 385664 391690 392320 393000 398450 401515 408720 414000 416000 419200 422970 425750 430560 433872 435968 441360 441600 448500 451168 451950 459264 459750 468000 470028 470784 471600 478140 478400 481818 482080 490400 490464 499200 503040 507564 510016 510900 524000 529920 538200 542340 544960 549861 551700 552000 563960 573768 574080 576000 578496 587535 588480 589500 597675 598000 602600 603648 613000 613080 624000 626704 628800 634455 637520 638625 642424 653952 662400 672750 676752 677925 681200 688896 689625 704950 705042 706176 717210 717600 722727 723120 733148 735600 736000 748800 753250 754560 765024 765440 766350 771328 783380 784640 786000 796900 803030 817440 828000 832000 838400 845940 851500 861120 867744 871936 882720 883200 897000 902336 903900 916435 919500 936000 940056 941568 943200 956280 956800 963636 964160 979225 980800 980928 996125 1006080 1015128 1020032 1021800 1043939 1048000 1057425 1076400 1084680 1089920 1099722 1103400 1104000 1127920 1129875 1147536 1148160 1156992 1175070 1176960 1179000 1195350 1196000 1204545 1205200 1226000 1226160 1248000 1253408 1257600 1268910 1275040 1277250 1284848 1307904 1324800 1345500 1353504 1355850 1362400 1377792 1379250 1409900 1410084 1412352 1434420 1435200 1445454 1446240 1466296 1471200 1472000 1497600 1506500 1509120 1530048 1532700 1542656 1566760 1569280 1572000 1593800 1606060 1634880 1649583 1656000 1676800 1691880 1703000 1722240 1735488 1762375 1762605 1765440 1793025 1794000 1804672 1807800 1832870 1839000 1846969 1872000 1880112 1886400 1912560 1913600 1915875 1927272 1928320 1958450 1961600 1961856 1992250 2007575 2030256 2040064 2043600 2087878 2096000 2114850 2152800 2169360 2179840 2199444 2206800 2208000 2255840 2259750 2295072 2296320 2313984 2350140 2353920 2358000 2390700 2392000 2409090 2410400 2452000 2452320 2496000 2506816 2515200 2537820 2550080 2554500 2569696 2615808 2649600 2691000 2707008 2711700 2724800 2749305 2758500 2819800 2820168 2824704 2868840 2870400 2890908 2892480 2932592 2937675 2942400 2988375 3013000 3018240 3060096 3065400 3131817 3133520 3144000 3172275 3187600 3212120 3269760 3299166 3312000 3383760 3389625 3406000 3444480 3470976 3524750 3525210 3530880 3586050 3588000 3609344 3613635 3615600 3665740 3678000 3693938 3744000 3760224 3772800 3825120 3827200 3831750 3854544 3856640 3916900 3923200 3923712 3984500 4015150 4060512 4080128 4087200 4175756 4192000 4229700 4305600 4338720 4359680 4398888 4413600 4416000 4511680 4519500 4582175 4590144 4627968 4700280 4707840 4716000 4781400 4784000 4818180 4820800 4896125 4904000 4904640 5013632 5030400 5075640 5100160 5109000 5139392 5219695 5287125 5382000 5414016 5423400 5449600 5498610 5517000 5540907 5639600 5640336 5737680 5740800 5781816 5784960 5865184 5875350 5884800 5976750 6022725 6026000 6120192 6130800 6263634 6267040 6288000 6344550 6375200 6424240 6539520 6598332 6624000 6767520 6779250 6812000 6888960 6941952 7049500 7050420 7061760 7172100 7176000 7218688 7227270 7231200 7331480 7356000 7387876 7488000 7520448 7545600 7650240 7663500 7709088 7713280 7833800 7846400 7847424 7969000 8030300 8121024 8174400 8247915 8351512 8384000 8459400 8611200 8677440 8797776 8813025 8827200 8965125 9023360 9039000 9164350 9180288 9234845 9395451 9400560 9432000 9562800 9568000 9636360 9641600 9792250 9808000 9809280 10027264 10037875 10151280 10200320 10218000 10278784 10439390 10574250 10764000 10828032 10846800 10899200 10997220 11034000 11081814 11279200 11280672 11475360 11481600 11563632 11569920 11730368 11750700 11769600 11953500 12045450 12052000 12240384 12261600 12527268 12534080 12576000 12689100 12750400 12848480 13079040 13196664 13248000 13535040 13558500 13624000 13746525 13883904 14099000 14100840 14123520 14344200 14352000 14454540 14462400 14662960 14688375 14712000 14775752 15040896 15091200 15300480 15327000 15418176 15659085 15667600 15861375 15938000 16060600 16242048 16348800 16495830 16622721 16703024 16918800 17222400 17354880 17595552 17626050 17654400 17930250 18046720 18068175 18078000 18328700 18360576 18469690 18790902 18801120 18864000 19125600 19136000 19272720 19283200 19584500 19616000 19618560 20054528 20075750 20302560 20400640 20436000 20557568 20878780 21148500 21528000 21656064 21693600 21798400 21994440 22068000 22163628 22558400 22561344 22910875 22950720 23127264 23139840 23460736 23501400 23539200 23907000 24010597 24090900 24104000 24523200 25054536 25068160 25152000 25378200 25500800 25696960 26098475 26393328 27070080 27117000 27248000 27493050 27704535 28198000 28201680 28688400 28704000 28909080 28924800 29325920 29376750 29424000 29551504 30081792 30113625 30600960 30654000 30836352 31318170 31335200 31722750 31876000 32121200 32484096 32697600 32991660 33245442 33406048 33837600 34444800 34709760 35191104 35252100 35308800 35860500 36093440 36136350 36156000 36657400 36721152 36939380 37581804 37602240 37728000 38251200 38545440 38566400 39169000 39232000 39237120 40151500 40605120 40872000 41115136 41239575 41757560 42297000 43056000 43387200 43988880 44065125 44136000 44327256 45116800 45122688 45821750 45901440 46174225 46254528 46921472 46977255 47002800 47814000 48021194 48181800 48208000 49046400 50109072 50136320 50756400 51001600 51393920 52196950 52786656 54140160 54234000 54496000 54986100 55409070 56396000 56403360 57376800 57408000 57818160 57849600 58651840 58753500 58848000 59103008 60163584 60227250 61201920 61308000 61672704 62636340 62670400 63445500 63752000 64242400 64968192 65395200 65983320 66490884 66812096 67675200 68732625 69419520 70382208 70504200 70617600 71721000 72031791 72272700 72312000 73314800 73878760 75163608 75204480 75456000 76502400 77090880 78295425 78338000 80303000 81210240 81744000 82479150 83113605 83515120 84594000 86112000 86774400 87977760 88130250 88272000 88654512 90233600 90245376 90340875 91643500 91802880 92348450 92509056 93842944 93954510 94005600 95628000 96042388 96363600 96416000 98092800 100218144 100272640 101512800 102003200 102787840 104393900 105573312 108280320 108468000 108992000 109972200 110818140 112792000 112806720 114753600 115636320 115699200 117303680 117507000 117696000 118206016 120052985 120454500 122616000 123345408 125272680 125340800 126891000 127504000 128484800 130492375 131966640 132981768 133624192 135350400 137465250 138522675 140764416 141008400 143442000 144063582 144545400 144624000 146629600 147757520 150327216 150408960 153004800 154181760 156590850 156676000 160606000 162420480 163488000 164958300 166227210 167030240 169188000 172224000 173548800 175955520 176260500 176544000 177309024 180467200 180490752 180681750 183287000 183605760 184696900 185018112 187909020 188011200 191256000 192084776 192727200 192832000 196185600 200436288 203025600 205575680 206197875 208787800 211146624 216095373 216936000 219944400 221636280 225584000 225613440 229507200 230871125 231272640 234607360 234886275 235014000 236412032 240105970 240909000 245232000 250545360 250681600 253782000 255008000 256969600 260984750 263933280 265963536 267248384 270700800 274930500 277045350 281528832 282016800 286884000 288127164 289090800 289248000 293259200 295515040 300654432 300817920 306009600 308363520 313181700 313352000 321212000 324840960 326976000 329916600 332454420 334060480 338376000 347097600 351911040 352521000 353088000 354618048 360158955 361363500 366574000 369393800 370036224 375818040 376022400 382512000 384169552 385454400 391477125 400872576 406051200 412395750 415568025 417575600 422293248 432190746 433872000 439888800 443272560 451168000 451226880 459014400 461742250 462545280 469214720 469772550 470028000 472824064 480211940 481818000 490464000 501090720 501363200 507564000 510016000 513939200 521969500 527866560 531927072 534496768 541401600 549861000 554090700 564033600 573768000 576254328 578181600 578496000 586518400 591030080 600264925 601308864 616727040 626363400 626704000 642424000 659833200 664908840 668120960 676752000 692613375 703822080 705042000 709236096 720317910 722727000 733148000 738787600 751636080 752044800 765024000 768339104 770908800 782954250 801745152 812102400 824791500 831136050 835151200 844586496 864381492 867744000 879777600 886545120 902336000 902453760 918028800 923484500 925090560 939545100 940056000 945648128 960423880 963636000 980928000 1002181440 1015128000 1027878400 1043939000 1055733120 1063854144 1080476865 1099722000 1108181400 1128067200 1147536000 1152508656 1156363200 1173036800 1174431375 1182060160 1200529850 1202617728 1252726800 1253408000 1284848000 1319666400 1329817680 1336241920 1353504000 1385226750 1407644160 1410084000 1418472192 1440635820 1445454000 1466296000 1477575200 1503272160 1504089600 1530048000 1536678208 1541817600 1565908500 1603490304 1624204800 1649583000 1662272100 1670302400 1728762984 1735488000 1759555200 1773090240 1800794775 1846969000 1850181120 1879090200 1880112000 1920847760 1927272000 2004362880 2030256000 2077840125 2087878000 2111466240 2127708288 2160953730 2199444000 2216362800 2256134400 2295072000 2305017312 2312726400 2346073600 2348862750 2364120320 2401059700 2405235456 2505453600 2506816000 2569696000 2639332800 2659635360 2672483840 2707008000 2770453500 2820168000 2836944384 2881271640 2890908000 2932592000 2955150400 3001324625 3006544320 3073356416 3083635200 3131817000 3299166000 3324544200 3340604800 3457525968 3519110400 3546180480 3601589550 3693938000 3758180400 3760224000 3841695520 3854544000 4008725760 4060512000 4155680250 4175756000 4222932480 4255416576 4321907460 4398888000 4432725600 4512268800 4590144000 4610034624 4625452800 4697725500 4728240640 4802119400 4810470912 5010907200 5139392000 5278665600 5319270720 5402384325 5540907000 5640336000 5762543280 5781816000 5865184000 5910300800 6002649250 6013088640 6146712832 6263634000 6598332000 6649088400 6681209600 6915051936 7038220800 7092360960 7203179100 7387876000 7516360800 7520448000 7683391040 7709088000 8017451520 8121024000 8311360500 8351512000 8510833152 8643814920 8797776000 8865451200 9003973875 9220069248 9250905600 9395451000 9604238800 10021814400 10557331200 10638541440 10804768650 11081814000 11280672000 11525086560 11563632000 11730368000 11820601600 12005298500 12026177280 12293425664 12527268000 13196664000 13298176800 13362419200 13830103872 14184721920 14406358200 14775752000 15032721600 15366782080 15418176000 16622721000 16703024000 17287629840 17595552000 17730902400 18007947750 18440138496 18790902000 19208477600 20043628800 21114662400 21277082880 21609537300 22163628000 22561344000 23050173120 23127264000 23641203200 24010597000 24052354560 25054536000 26393328000 26596353600 27011921625 27660207744 28812716400 29551504000 30065443200 30733564160 33245442000 33406048000 34575259680 35191104000 35461804800 36015895500 36880276992 37581804000 38416955200 40087257600 42554165760 43219074600 44327256000 46100346240 46254528000 48021194000 50109072000 52786656000 53192707200 54023843250 55320415488 57625432800 59103008000 60130886400 61467128320 66490884000 66812096000 69150519360 70923609600 72031791000 75163608000 76833910400 86438149200 88654512000 92200692480 96042388000 100218144000 105573312000 106385414400 108047686500 110640830976 115250865600 118206016000 120261772800 132981768000 138301038720 144063582000 150327216000 153667820800 172876298400 177309024000 184401384960 192084776000 200436288000 212770828800 216095373000 230501731200 265963536000 276602077440 288127164000 300654432000 307335641600 345752596800 354618048000 384169552000 432190746000 461003462400 531927072000 553204154880 576254328000 601308864000 691505193600 768339104000 864381492000 922006924800 1063854144000 1152508656000 1383010387200 1536678208000 1728762984000 2305017312000 2766020774400 3457525968000 4610034624000 6915051936000 13830103872000
- Sum of all divisors σ(n): 56496970962432
- Sum of proper divisors (its aliquot sum) s(n): 42666867090432
- 13830103872000 is an abundant number, because the sum of its proper divisors (42666867090432) is greater than itself. Its abundance is 28836763218432
Bases of 13830103872000
- Binary: 110010010100000100100110110110110010000000002
- Hexadecimal: 0xC94126DB200
- Base-36: 4WHGMRGG0
Squares and roots of 13830103872000
- 13830103872000 squared (138301038720002) is 191271773110309392384000000
- 13830103872000 cubed (138301038720003) is 2645308489897195410727925710848000000000
-
The
square root of 13830103872000 is 3718884.7618607383 -
The
cube root of 13830103872000 is 24003.5318135701
Scales and comparisons
How big is 13830103872000?- 13,830,103,872,000 seconds is equal to 439,754 years, 27 weeks, 1 day, 16 hours.
-
To count from 1 to 13,830,103,872,000 would take you about one million, ninety-nine thousand, three hundred eighty-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 13830103872000 cubic inches would be around 2000.3 feet tall.
Recreational maths with 13830103872000
- 13830103872000 backwards is 00027830103831
- 13830103872000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13830103872000's digits is 36
- More coming soon!
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The information we have on file for 13830103872000 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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