138641454432000
138,641,454,432,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138641454432000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
138641454432000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138641454432000:
28 × 32 × 53 × 13 × 29 × 37 × 34511
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 29 × 37 × 34511)See below for interesting mathematical facts about the number 138641454432000 from the Numbermatics database.
Names of 138641454432000
- Cardinal: 138641454432000 can be written as One hundred thirty-eight trillion, six hundred forty-one billion, four hundred fifty-four million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.38641454432 × 1014
Factors of 138641454432000
Divisors of 138641454432000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 29 30 32 36 37 39 40 45 48 50 52 58 60 64 65 72 74 75 78 80 87 90 96 100 104 111 116 117 120 125 128 130 144 145 148 150 156 160 174 180 185 192 195 200 208 222 225 232 234 240 250 256 260 261 288 290 296 300 312 320 325 333 348 360 370 375 377 384 390 400 416 435 444 450 464 468 480 481 500 520 522 555 576 580 585 592 600 624 640 650 666 696 720 725 740 750 754 768 780 800 832 870 888 900 925 928 936 960 962 975 1000 1040 1044 1073 1110 1125 1131 1152 1160 1170 1184 1200 1248 1280 1300 1305 1332 1392 1440 1443 1450 1480 1500 1508 1560 1600 1625 1664 1665 1740 1776 1800 1850 1856 1872 1885 1920 1924 1950 2000 2080 2088 2146 2175 2220 2250 2262 2304 2320 2340 2368 2400 2405 2496 2600 2610 2664 2775 2784 2880 2886 2900 2925 2960 3000 3016 3120 3200 3219 3250 3328 3330 3393 3480 3552 3600 3625 3700 3712 3744 3770 3840 3848 3900 4000 4160 4176 4292 4329 4350 4440 4500 4524 4625 4640 4680 4736 4800 4810 4875 4992 5200 5220 5328 5365 5550 5568 5655 5760 5772 5800 5850 5920 6000 6032 6240 6400 6438 6500 6525 6660 6786 6960 7104 7200 7215 7250 7400 7424 7488 7540 7696 7800 8000 8320 8325 8352 8584 8658 8700 8880 9000 9048 9250 9280 9360 9425 9472 9600 9620 9657 9750 9984 10400 10440 10656 10730 10875 11100 11136 11310 11520 11544 11600 11700 11840 12000 12025 12064 12480 12876 13000 13050 13320 13572 13875 13920 13949 14208 14400 14430 14500 14625 14800 14976 15080 15392 15600 16000 16095 16640 16650 16704 16965 17168 17316 17400 17760 18000 18096 18500 18560 18720 18850 19200 19240 19314 19500 20800 20880 21312 21460 21645 21750 22200 22272 22620 23088 23200 23400 23680 24000 24050 24128 24960 25752 26000 26100 26640 26825 27144 27750 27840 27898 28275 28416 28800 28860 29000 29250 29600 29952 30160 30784 31200 32000 32190 32625 33300 33408 33930 34336 34511 34632 34800 35520 36000 36075 36192 37000 37120 37440 37700 38480 38628 39000 41600 41625 41760 41847 42624 42920 43290 43500 44400 45240 46176 46400 46800 47125 47360 48000 48100 48256 48285 49920 51504 52000 52200 53280 53650 54288 55500 55680 55796 56550 57600 57720 58000 58500 59200 60125 60320 61568 62400 64380 65250 66600 66816 67860 68672 69022 69264 69600 69745 71040 72000 72150 72384 74000 74880 75400 76960 77256 78000 80475 83200 83250 83520 83694 84825 85248 85840 86580 87000 88800 90480 92352 92800 93600 94250 96000 96200 96512 96570 103008 103533 104000 104400 106560 107300 108225 108576 111000 111360 111592 113100 115440 116000 117000 118400 120250 120640 123136 124800 125541 128760 130500 133200 134125 135720 137344 138044 138528 139200 139490 141375 142080 144000 144300 144768 148000 149760 150800 153920 154512 156000 160950 166500 167040 167388 169650 171680 172555 173160 174000 177600 180375 180960 184704 185600 187200 188500 192400 193140 206016 207066 208000 208800 209235 213120 214600 216450 217152 222000 223184 226200 230880 232000 234000 236800 240500 241280 241425 249600 251082 257520 261000 266400 268250 271440 274688 276088 277056 278400 278980 282750 288000 288600 289536 296000 301600 307840 309024 310599 312000 321900 333000 334080 334776 339300 343360 345110 346320 348000 348725 355200 360750 361920 369408 374400 377000 384800 386280 402375 412032 414132 416000 417600 418470 424125 426240 429200 432900 434304 444000 446368 448643 452400 461760 464000 468000 481000 482560 482850 502164 515040 517665 522000 532800 536500 541125 542880 552176 554112 556800 557960 565500 577200 592000 603200 615680 618048 621198 624000 627705 643800 666000 669552 678600 686720 690220 692640 696000 697450 710400 721500 723840 748800 754000 769600 772560 804750 824064 828264 835200 836940 848250 858400 862775 865800 868608 888000 892736 897286 904800 923520 928000 936000 962000 965700 1000819 1004328 1030080 1035330 1044000 1046175 1065600 1073000 1082250 1085760 1104352 1108224 1115920 1131000 1154400 1184000 1206400 1207125 1236096 1242396 1248000 1255410 1276907 1287600 1332000 1339104 1345929 1357200 1373440 1380440 1385280 1392000 1394900 1443000 1447680 1508000 1539200 1545120 1552995 1609500 1656528 1670400 1673880 1696500 1716800 1725550 1731600 1743625 1776000 1785472 1794572 1809600 1847040 1872000 1924000 1931400 2001638 2008656 2060160 2070660 2088000 2092350 2131200 2146000 2164500 2171520 2208704 2231840 2243215 2262000 2308800 2412800 2414250 2472192 2484792 2510820 2553814 2575200 2588325 2664000 2678208 2691858 2714400 2760880 2770560 2784000 2789800 2886000 3002457 3016000 3078400 3090240 3105990 3138525 3219000 3313056 3347760 3393000 3433600 3451100 3463200 3487250 3552000 3570944 3589144 3619200 3744000 3830721 3848000 3862800 4003276 4017312 4037787 4120320 4141320 4176000 4184700 4292000 4313875 4329000 4343040 4417408 4463680 4486430 4524000 4617600 4828500 4969584 5004095 5021640 5107628 5150400 5176650 5230875 5328000 5356416 5383716 5428800 5521760 5541120 5579600 5772000 6004914 6032000 6180480 6211980 6277050 6384535 6438000 6626112 6695520 6729645 6786000 6867200 6902200 6926400 6974500 7178288 7238400 7661442 7696000 7725600 7764975 8006552 8034624 8075574 8282640 8352000 8369400 8584000 8627750 8658000 8834816 8927360 8972860 9007371 9048000 9235200 9657000 9939168 10008190 10043280 10215256 10300800 10353300 10461750 10656000 10712832 10767432 10857600 11043520 11159200 11216075 11492163 11544000 12009828 12064000 12360960 12423960 12554100 12769070 12876000 12941625 13010647 13252224 13391040 13459290 13572000 13804400 13852800 13949000 14356576 15012285 15322884 15392000 15451200 15529950 15692625 16013104 16069248 16151148 16565280 16599791 16738800 17168000 17255500 17316000 17854720 17945720 18014742 18096000 19153605 19314000 19878336 20016380 20086560 20188935 20430512 20601600 20706600 20923500 21534864 21715200 22087040 22318400 22432150 22984326 23088000 24019656 24847920 25020475 25108200 25538140 25752000 25883250 26021294 26504448 26782080 26918580 27144000 27608800 27705600 27898000 28713152 30024570 30645768 30902400 31059900 31385250 31922675 32026208 32138496 32302296 33130560 33199582 33477600 33648225 34336000 34511000 34632000 35891440 36029484 36192000 37030303 38307210 38628000 38824875 39031941 39756672 40032760 40173120 40377870 40861024 41413200 41847000 43069728 44174080 44636800 44864300 45036855 45968652 46176000 48039312 49695840 49799373 50040950 50216400 51076280 51504000 51766500 52042588 53564160 53837160 54288000 55217600 55796000 56080375 57426304 57460815 60049140 61291536 61804800 62119800 62770500 63845350 64052416 64604592 65053235 66261120 66399164 66955200 67296450 69022000 69264000 71782880 72058968 74060606 75061425 76614420 77256000 77649750 78063882 79513344 80065520 80346240 80755740 81722048 82826400 82998955 83694000 86139456 89273600 89728600 90073710 91937304 95768025 96078624 99391680 99598746 100081900 100432800 100944675 102152560 103008000 103533000 104085176 107674320 108576000 110435200 111090909 111592000 112160750 114852608 114921630 117095823 120098280 122583072 124239600 125102375 125541000 127690700 128104832 129209184 130106470 132522240 132798328 133910400 134592900 138044000 138528000 143565760 144117936 148121212 149398119 150122850 153228840 154512000 155299500 156127764 159613375 160131040 160692480 161511480 163444096 165652800 165997910 167388000 168241125 172278912 179457200 180147420 183874608 185151515 191536050 192157248 195159705 198783360 199197492 200163800 200865600 201889350 204305120 207066000 208170352 215348640 220870400 222181818 223184000 224321500 225184275 229843260 234191646 240196560 245166144 248479200 248996865 250204750 251082000 255381400 256209664 258418368 260212940 265596656 267820800 269185800 276088000 287131520 287304075 288235872 296242424 298796238 300245700 306457680 309024000 310599000 312255528 319226750 320262080 323022960 325266175 326888192 331305600 331995820 333272727 334776000 336482250 344557824 358914400 360294840 367749216 370303030 375307125 383072100 384314496 390319410 397566720 398394984 400327600 401731200 403778700 408610240 414132000 414994775 416340704 430697280 444363636 446368000 448643000 450368550 459686520 468383292 478840125 480393120 481393939 490332288 496958400 497993730 500409500 502164000 504723375 510762800 516836736 520425880 531193312 538371600 552176000 555454545 574263040 574608150 576471744 585479115 592484848 597592476 600491400 612915360 621198000 624511056 638453500 640524160 646045920 650532350 662611200 663991640 666545454 669552000 672964500 717828800 720589680 735498432 740606060 746990595 750614250 766144200 768628992 780638820 796789968 800655200 803462400 807557400 817220480 828264000 829989550 832681408 861394560 888727272 897286000 900737100 919373040 925757575 936766584 957680250 960786240 962787878 975798525 980664576 993916800 995987460 1000819000 1004328000 1009446750 1021525600 1033673472 1040851760 1062386624 1076743200 1104352000 1110909090 1125921375 1149216300 1152943488 1170958230 1184969696 1195184952 1200982800 1225830720 1242396000 1244984325 1249022112 1276907000 1281048320 1292091840 1301064700 1327983280 1333090908 1339104000 1345929000 1435657600 1436520375 1441179360 1444181817 1470996864 1481212120 1493981190 1501228500 1532288400 1561277640 1593579936 1601310400 1615114800 1626330875 1634440960 1656528000 1659979100 1665362816 1666363635 1722789120 1777454544 1794572000 1801474200 1838746080 1851515150 1873533168 1915360500 1921572480 1925575756 1951597050 1987833600 1991974920 2001638000 2008656000 2018893500 2043051200 2074973875 2081703520 2124773248 2153486400 2221818180 2251842750 2298432600 2305886976 2341916460 2369939392 2390369904 2401965600 2406969695 2451661440 2484792000 2489968650 2498044224 2553814000 2584183680 2602129400 2655966560 2666181816 2691858000 2777272725 2871315200 2873040750 2882358720 2888363634 2927395575 2941993728 2962424240 2987962380 3002457000 3064576800 3122555280 3187159872 3202620800 3230229600 3252661750 3313056000 3319958200 3330725632 3332727270 3554909088 3589144000 3602948400 3677492160 3703030300 3734952975 3747066336 3830721000 3843144960 3851151512 3903194100 3983949840 4003276000 4017312000 4037787000 4086102400 4149947750 4163407040 4249546496 4306972800 4332545451 4443636360 4503685500 4596865200 4628787875 4683832920 4739878784 4780739808 4803931200 4813939390 4878992625 4903322880 4969584000 4979937300 4996088448 5107628000 5168367360 5204258800 5311933120 5332363632 5383716000 5554545450 5746081500 5764717440 5776727268 5854791150 5924848480 5975924760 6004914000 6129153600 6224921625 6245110560 6374319744 6405241600 6460459200 6505323500 6639916400 6665454540 7109818176 7178288000 7205896800 7220909085 7354984320 7406060600 7469905950 7494132672 7661442000 7702303024 7806388200 7967899680 8006552000 8075574000 8172204800 8299895500 8326814080 8331818175 8613945600 8665090902 8887272720 9007371000 9193730400 9257575750 9367665840 9479757568 9561479616 9607862400 9627878780 9757985250 9939168000 9959874600 9992176896 10215256000 10408517600 10623866240 10664727264 10767432000 11109090900 11492163000 11529434880 11553454536 11709582300 11849696960 11951849520 12009828000 12034848475 12258307200 12449843250 12490221120 12748639488 12920918400 13010647000 13279832800 13330909080 13886363625 14219636352 14356576000 14411793600 14441818170 14636977875 14709968640 14812121200 14939811900 14988265344 15322884000 15404606048 15612776400 15935799360 16013104000 16151148000 16599791000 16653628160 16663636350 17330181804 17774545440 18014742000 18387460800 18515151500 18674764875 18735331680 19122959232 19215724800 19255757560 19515970500 19919749200 20430512000 20817035200 21247732480 21329454528 21534864000 21662727255 22218181800 22984326000 23106909072 23419164600 23699393920 23903699040 24019656000 24069696950 24516614400 24899686500 24980442240 25841836800 26021294000 26559665600 26661818160 27772727250 28439272704 28823587200 28883636340 29273955750 29624242400 29879623800 29976530688 30645768000 30809212096 31225552800 31871598720 32026208000 32302296000 33199582000 33327272700 34660363608 35549090880 36029484000 36104545425 36774921600 37030303000 37349529750 37470663360 38245918464 38511515120 39031941000 39839498400 40861024000 41634070400 41659090875 42658909056 43069728000 43325454510 44436363600 45968652000 46213818144 46838329200 47398787840 47807398080 48039312000 48139393900 49799373000 49960884480 52042588000 53119331200 53323636320 55545454500 57647174400 57767272680 58547911500 59248484800 59759247600 60174242375 61291536000 61618424192 62451105600 63743197440 64604592000 66399164000 66654545400 69320727216 71098181760 72058968000 72209090850 73549843200 74060606000 74699059500 74941326720 77023030240 78063882000 79678996800 83268140800 83318181750 85317818112 86650909020 88872727200 91937304000 92427636288 93676658400 95614796160 96078624000 96278787800 99598746000 104085176000 106238662400 106647272640 108313636275 111090909000 115534545360 117095823000 118496969600 119518495200 120348484750 122583072000 123236848384 124902211200 129209184000 132798328000 133309090800 138641454432 142196363520 144117936000 144418181700 148121212000 149398119000 149882653440 154046060480 156127764000 159357993600 166636363500 173301818040 177745454400 180522727125 183874608000 184855272576 187353316800 191229592320 192557575600 199197492000 208170352000 213294545280 216627272550 222181818000 231069090720 234191646000 236993939200 239036990400 240696969500 249804422400 265596656000 266618181600 277282908864 288235872000 288836363400 296242424000 298796238000 308092120960 312255528000 318715987200 333272727000 346603636080 355490908800 361045454250 367749216000 369710545152 374706633600 385115151200 398394984000 416340704000 426589090560 433254545100 444363636000 462138181440 468383292000 478073980800 481393939000 531193312000 533236363200 541568181375 554565817728 577672726800 592484848000 597592476000 616184241920 624511056000 666545454000 693207272160 710981817600 722090908500 749413267200 770230302400 796789968000 866509090200 888727272000 924276362880 936766584000 956147961600 962787878000 1066472726400 1083136362750 1109131635456 1155345453600 1184969696000 1195184952000 1249022112000 1333090908000 1386414544320 1444181817000 1540460604800 1593579936000 1733018180400 1777454544000 1848552725760 1873533168000 1925575756000 2132945452800 2166272725500 2310690907200 2390369904000 2666181816000 2772829088640 2888363634000 3080921209600 3466036360800 3554909088000 3747066336000 3851151512000 4332545451000 4621381814400 4780739808000 5332363632000 5545658177280 5776727268000 6932072721600 7702303024000 8665090902000 9242763628800 10664727264000 11553454536000 13864145443200 15404606048000 17330181804000 23106909072000 27728290886400 34660363608000 46213818144000 69320727216000 138641454432000
- Sum of all divisors σ(n): 570810384668160
- Sum of proper divisors (its aliquot sum) s(n): 432168930236160
- 138641454432000 is an abundant number, because the sum of its proper divisors (432168930236160) is greater than itself. Its abundance is 293527475804160
Bases of 138641454432000
- Binary: 111111000010111111110101010010001111111000000002
- Hexadecimal: 0x7E17FAA47F00
- Base-36: 1D5706COW0
Squares and roots of 138641454432000
- 138641454432000 squared (1386414544320002) is 19221452887020332442624000000
- 138641454432000 cubed (1386414544320003) is 2664890184552664264601546550509568000000000
-
The
square root of 138641454432000 is 11774610.5851531243 -
The
cube root of 138641454432000 is 51756.4366962511
Scales and comparisons
How big is 138641454432000?- 138,641,454,432,000 seconds is equal to 4,408,369 years, 21 weeks, 8 hours.
-
To count from 1 to 138,641,454,432,000 would take you about eleven million, twenty thousand, nine hundred twenty-three 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 138641454432000 cubic inches would be around 4313 feet tall.
Recreational maths with 138641454432000
- 138641454432000 backwards is 000234454146831
- 138641454432000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138641454432000's digits is 45
- More coming soon!
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The information we have on file for 138641454432000 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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