138745804687488000
138,745,804,687,488,000 is an even composite number composed of seven prime numbers multiplied together.
138745804687488000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred sixteen divisors.
Prime factorization of 138745804687488000:
210 × 33 × 53 × 29 × 41 × 439 × 76913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 29 × 41 × 439 × 76913)See below for interesting mathematical facts about the number 138745804687488000 from the Numbermatics database.
Names of 138745804687488000
- Cardinal: 138745804687488000 can be written as One hundred thirty-eight quadrillion, seven hundred forty-five trillion, eight hundred four billion, six hundred eighty-seven million, four hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.38745804687488 × 1017
Factors of 138745804687488000
Divisors of 138745804687488000
- Number of divisors d(n): 2816
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 41 45 48 50 54 58 60 64 72 75 80 82 87 90 96 100 108 116 120 123 125 128 135 144 145 150 160 164 174 180 192 200 205 216 225 232 240 246 250 256 261 270 288 290 300 320 328 348 360 369 375 384 400 410 432 435 439 450 464 480 492 500 512 522 540 576 580 600 615 640 656 675 696 720 725 738 750 768 783 800 820 864 870 878 900 928 960 984 1000 1024 1025 1044 1080 1107 1125 1152 1160 1189 1200 1230 1280 1305 1312 1317 1350 1392 1440 1450 1476 1500 1536 1566 1600 1640 1728 1740 1756 1800 1845 1856 1920 1968 2000 2050 2088 2160 2175 2195 2214 2250 2304 2320 2378 2400 2460 2560 2610 2624 2634 2700 2784 2880 2900 2952 3000 3072 3075 3132 3200 3280 3375 3456 3480 3512 3567 3600 3625 3690 3712 3840 3915 3936 3951 4000 4100 4176 4320 4350 4390 4428 4500 4608 4640 4756 4800 4920 5120 5125 5220 5248 5268 5400 5535 5568 5760 5800 5904 5945 6000 6150 6264 6400 6525 6560 6585 6750 6912 6960 7024 7134 7200 7250 7380 7424 7680 7830 7872 7902 8000 8200 8352 8640 8700 8780 8856 9000 9216 9225 9280 9512 9600 9840 10250 10440 10496 10536 10701 10800 10875 10975 11070 11136 11520 11600 11808 11853 11890 12000 12300 12528 12731 12800 13050 13120 13170 13500 13824 13920 14048 14268 14400 14500 14760 14848 15360 15375 15660 15744 15804 16000 16400 16704 17280 17400 17560 17712 17835 17999 18000 18450 18560 19024 19200 19575 19680 19755 20500 20880 20992 21072 21402 21600 21750 21950 22140 22272 23040 23200 23616 23706 23780 24000 24600 25056 25462 25600 26100 26240 26340 27000 27648 27675 27840 28096 28536 28800 29000 29520 29696 29725 30750 31320 31488 31608 32000 32103 32625 32800 32925 33408 34560 34800 35120 35424 35670 35998 36000 36900 37120 38048 38193 38400 39150 39360 39510 41000 41760 41984 42144 42804 43200 43500 43900 44280 44544 46080 46125 46400 47232 47412 47560 48000 49200 50112 50924 52200 52480 52680 53505 53997 54000 54875 55350 55680 56192 57072 57600 58000 59040 59265 59450 61500 62640 62976 63216 63655 64000 64206 65250 65600 65850 66816 69120 69600 70240 70848 71340 71996 72000 73800 74240 76096 76386 76800 76913 78300 78720 79020 82000 83520 84288 85608 86400 87000 87800 88560 89088 89175 89995 92250 92800 94464 94824 95120 96000 97875 98400 98775 100224 101848 104400 104960 105360 107010 107994 108000 109750 110700 111360 112384 114144 114579 115200 116000 118080 118530 118900 123000 125280 125952 126432 127310 128000 128412 130500 131200 131700 133632 138240 138375 139200 140480 141696 142680 143992 144000 147600 148480 148625 152192 152772 153826 156600 157440 158040 160515 161991 164000 164625 167040 168576 171216 172800 174000 175600 177120 178350 179990 184500 185600 188928 189648 190240 190965 192000 195750 196800 197550 200448 203696 208800 209920 210720 214020 215988 216000 219500 221400 222720 224768 228288 229158 230400 230739 232000 236160 237060 237800 246000 250560 252864 254620 256824 261000 262400 263400 267264 267525 269985 276750 278400 280960 283392 285360 287984 288000 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8029271104600 8306142522000 8460110041920 8671612792968 8779157472000 8812614627000 8859885356800 9024117378048 9032929992675 9344410337250 9400122268800 9568676185344 9635125325520 9724264416000 9876552156000 9967371026400 10036588880750 10277467013888 10534988966400 10575137552400 10631862428160 10839515991210 10898264448000 11074856696000 11280146722560 11562150390624 11669117299200 11705543296000 11750152836000 11960845231680 12043906656900 12459213783000 12533496358400 12641986759680 12758234913792 12846833767360 12965685888000 13168736208000 13218921940500 13289828035200 13536176067072 14100183403200 14452687988280 14586396624000 14951056539600 15040195630080 15054883321125 15416200520832 15666870448000 15802483449600 15947793642240 16058542209200 16612285044000 16920220083840 17343225585936 17558314944000 17625229254000 17719770713600 18065859985350 18688820674500 18800244537600 19137352370688 19270250651040 19448528832000 19753104312000 19934742052800 20073177761500 20554934027776 21069977932800 21150275104800 21263724856320 21679031982420 22149713392000 22560293445120 23124300781248 23338234598400 23500305672000 23921690463360 24087813313800 24918427566000 25066992716800 25693667534720 26337472416000 26437843881000 26579656070400 27072352134144 27098789978025 28200366806400 28905375976560 29172793248000 29902113079200 30109766642250 30832401041664 31333740896000 31604966899200 31895587284480 32117084418400 33224570088000 33840440167680 34686451171872 35116629888000 35250458508000 35439541427200 36131719970700 37377641349000 37600489075200 38274704741376 38540501302080 38897057664000 39506208624000 39869484105600 40146355523000 41109868055552 42300550209600 43358063964840 44299426784000 45120586890240 45164649963375 46248601562496 47000611344000 47843380926720 48175626627600 49836855132000 51387335069440 52674944832000 52875687762000 53159312140800 54197579956050 56400733612800 57810751953120 58345586496000 59804226158400 60219533284500 61664802083328 62667481792000 63209933798400 63791174568960 64234168836800 66449140176000 67680880335360 69372902343744 70500917016000 72263439941400 74755282698000 75200978150400 77081002604160 79012417248000 79738968211200 80292711046000 84601100419200 86716127929680 88598853568000 90329299926750 92497203124992 94001222688000 95686761853440 96351253255200 99673710264000 102774670138880 105349889664000 105751375524000 106318624281600 108395159912100 112801467225600 115621503906240 116691172992000 119608452316800 120439066569000 123329604166656 125334963584000 128468337673600 132898280352000 135361760670720 135493949890125 138745804687488 141001834032000 144526879882800 149510565396000 154162005208320 158024834496000 159477936422400 160585422092000 169202200838400 173432255859360 177197707136000 180658599853500 184994406249984 188002445376000 191373523706880 192702506510400 199347420528000 205549340277760 211502751048000 216790319824200 225602934451200 231243007812480 239216904633600 240878133138000 256936675347200 265796560704000 270987899780250 277491609374976 282003668064000 289053759765600 299021130792000 308324010416640 316049668992000 318955872844800 321170844184000 338404401676800 346864511718720 361317199707000 369988812499968 376004890752000 385405013020800 398694841056000 423005502096000 433580639648400 462486015624960 478433809267200 481756266276000 513873350694400 531593121408000 541975799560500 554983218749952 564007336128000 578107519531200 598042261584000 616648020833280 642341688368000 676808803353600 693729023437440 722634399414000 770810026041600 797389682112000 846011004192000 867161279296800 924972031249920 956867618534400 963512532552000 1027746701388800 1083951599121000 1109966437499904 1128014672256000 1156215039062400 1196084523168000 1284683376736000 1387458046874880 1445268798828000 1541620052083200 1594779364224000 1692022008384000 1734322558593600 1849944062499840 1927025065104000 2167903198242000 2312430078124800 2392169046336000 2569366753472000 2774916093749760 2890537597656000 3083240104166400 3384044016768000 3468645117187200 3854050130208000 4335806396484000 4624860156249600 4784338092672000 5138733506944000 5549832187499520 5781075195312000 6937290234374400 7708100260416000 8671612792968000 9249720312499200 11562150390624000 13874580468748800 15416200520832000 17343225585936000 23124300781248000 27749160937497600 34686451171872000 46248601562496000 69372902343744000 138745804687488000
- Sum of all divisors σ(n): 544666985710848000
- Sum of proper divisors (its aliquot sum) s(n): 405921181023360000
- 138745804687488000 is an abundant number, because the sum of its proper divisors (405921181023360000) is greater than itself. Its abundance is 267175376335872000
Bases of 138745804687488000
- Binary: 1111011001110110010010011000000100111100100110100000000002
- Hexadecimal: 0x1ECEC9302793400
- Base-36: 11Y5A6QWETC0
Squares and roots of 138745804687488000
- 138745804687488000 squared (1387458046874880002) is 19250398318378567073343750144000000
- 138745804687488000 cubed (1387458046874880003) is 2670912005238100104064449902223343874998272000000000
-
The
square root of 138745804687488000 is 372485979.1824223819 -
The
cube root of 138745804687488000 is 517694.1848679331
Scales and comparisons
How big is 138745804687488000?- 138,745,804,687,488,000 seconds is equal to 4,411,687,420 years, 5 weeks, 5 days.
-
To count from 1 to 138,745,804,687,488,000 would take you about thirteen billion, two hundred thirty-five million, sixty-two thousand, two hundred sixty 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 138745804687488000 cubic inches would be around 43141.2 feet tall.
Recreational maths with 138745804687488000
- 138745804687488000 backwards is 000884786408547831
- The number of decimal digits it has is: 18
- The sum of 138745804687488000's digits is 81
- More coming soon!
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Cite this page
MLA style:
"Number 138745804687488000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 138745804687488000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/138745804687488000/
Chicago style:
Numbermatics. 2024. "Number 138745804687488000 - Facts about the integer". https://numbermatics.com/n/138745804687488000/
The information we have on file for 138745804687488000 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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