138207689287209840
138,207,689,287,209,840 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138207689287209840 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 640 divisors.
138207689287209840 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138207689287209840:
24 × 3 × 5 × 43 × 281 × 757 × 4691 × 13421
(2 × 2 × 2 × 2 × 3 × 5 × 43 × 281 × 757 × 4691 × 13421)See below for interesting mathematical facts about the number 138207689287209840 from the Numbermatics database.
Names of 138207689287209840
- Cardinal: 138207689287209840 can be written as One hundred thirty-eight quadrillion, two hundred seven trillion, six hundred eighty-nine billion, two hundred eighty-seven million, two hundred nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3820768928720984 × 1017
Factors of 138207689287209840
Divisors of 138207689287209840
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 281 344 430 516 562 645 688 757 843 860 1032 1124 1290 1405 1514 1686 1720 2064 2248 2271 2580 2810 3028 3372 3440 3785 4215 4496 4542 4691 5160 5620 6056 6744 7570 8430 9084 9382 10320 11240 11355 12083 12112 13421 13488 14073 15140 16860 18168 18764 22480 22710 23455 24166 26842 28146 30280 32551 33720 36249 36336 37528 40263 45420 46910 48332 53684 56292 60415 60560 65102 67105 67440 70365 72498 75056 80526 90840 93820 96664 97653 107368 112584 120830 130204 134210 140730 144996 161052 162755 181245 181680 187640 193328 195306 201315 201713 212717 214736 225168 241660 260408 268420 281460 289992 322104 325510 362490 375280 390612 402630 403426 425434 483320 488265 520816 536840 562920 577103 579984 605139 638151 644208 651020 724980 781224 805260 806852 850868 966640 976530 1008565 1063585 1073680 1125840 1154206 1210278 1276302 1302040 1318171 1449960 1562448 1610520 1613704 1701736 1731309 1953060 2017130 2127170 2308412 2420556 2552604 2604080 2636342 2885515 2899920 3025695 3190755 3221040 3227408 3403472 3462618 3551087 3771301 3906120 3954513 4034260 4254340 4616824 4841112 5105208 5272684 5771030 6051390 6381510 6590855 6925236 7102174 7542602 7812240 7909026 8068520 8508680 8656545 9146831 9233648 9682224 10159697 10210416 10545368 10653261 11313903 11542060 12102780 12763020 13181710 13850472 14204348 15085204 15818052 16137040 17017360 17313090 17755435 18293662 18856505 19772565 20319394 21090736 21306522 22627806 23084120 24205560 25526040 26363420 27440493 27700944 28408696 30170408 30479091 31636104 34626180 35510870 36587324 37713010 39545130 40638788 42613044 45255612 45734155 46168240 48411120 50798485 51052080 52726840 53266305 54880986 56569515 56681353 56817392 60340816 60958182 62957911 63272208 69252360 71021740 73174648 75426020 79090260 81277576 85226088 90511224 91468310 101596970 105453680 106532610 109761972 113139030 113362706 121916364 125915822 137202465 138504720 142043480 146349296 150852040 152395455 152696741 158180520 162165943 162555152 170044059 170452176 181022448 182936620 188873733 203193940 213065220 219523944 226278060 226725412 243832728 251831644 274404930 283406765 284086960 301704080 304790910 305393482 314789555 316361040 324331886 340088118 365873240 377747466 406387880 426130440 436866971 439047888 452556120 453450824 458090223 486497829 487665456 503663288 548809860 566813530 609581820 610786964 629579110 648663772 680176236 731746480 755494932 763483705 810829715 812775760 850220295 852260880 873733942 905112240 906901648 916180446 944368665 972995658 997855447 1007326576 1097619720 1133627060 1219163640 1221573928 1259158220 1297327544 1310600913 1360352472 1510989864 1526967410 1621659430 1700440590 1747467884 1832360892 1888737330 1945991316 1995710894 2184334855 2195239440 2267254120 2290451115 2432489145 2438327280 2443147856 2518316440 2594655088 2621201826 2707190173 2720704944 2854874857 2993566341 3021979728 3053934820 3243318860 3400881180 3494935768 3664721784 3777474660 3891982632 3991421788 4368669710 4534508240 4580902230 4864978290 4989277235 5036632880 5242403652 5414380346 5709749714 5987132682 6107869640 6486637720 6553004565 6801762360 6989871536 7329443568 7554949320 7783965264 7982843576 8121570519 8564624571 8737339420 9161804460 9729956580 9978554470 10484807304 10828760692 11419499428 11974265364 12215739280 12973275440 13106009130 13535950865 13603524720 14274374285 14967831705 15109898640 15965687152 16243141038 17129249142 17474678840 17691172991 18323608920 19459913160 19957108940 20969614608 21657521384 22838998856 23948530728 26212018260 27071901730 28548748570 29935663410 32486282076 34258498284 34949357680 35382345982 36647217840 38919826320 39914217880 40607852595 42823122855 42907784221 43315042768 45677997712 47659138627 47897061456 52424036520 53073518973 54143803460 57097497140 59871326820 64972564152 68516996568 70764691964 79828435760 81215705190 85646245710 85815568442 88455864955 95318277254 104848073040 106147037946 108287606920 114194994280 119742653640 122759618851 128723352663 129945128304 137033993136 141529383928 142977415881 162431410380 171292491420 171631136884 176911729910 190636554508 212294075892 214538921105 216575213840 228389988560 238295693135 239485307280 245519237702 257446705326 265367594865 283058767856 285954831762 324862820760 342584982840 343262273768 353823459820 368278856553 381273109016 424588151784 429077842210 476591386270 491038475404 514893410652 530735189730 571909663524 613798094255 643616763315 649725641520 685169965680 686524547536 707646919640 714887079405 736557713106 760720438613 762546218032 849176303568 858155684420 953182772540 982076950808 1029786821304 1061470379460 1143819327048 1227596188510 1287233526630 1415293839280 1429774158810 1473115426212 1521440877226 1716311368840 1841394282765 1906365545080 1964153901616 2049342960961 2059573642608 2122940758920 2282161315839 2287638654096 2455192377020 2574467053260 2859548317620 2946230852424 3042881754452 3432622737680 3682788565530 3803602193065 3812731090160 4098685921922 4245881517840 4564322631678 4910384754040 5148934106520 5719096635240 5892461704848 6085763508904 6148028882883 7365577131060 7607204386130 8197371843844 9128645263356 9820769508080 10246714804805 10297868213040 11410806579195 11438193270480 12171527017808 12296057765766 13392217954187 14731154262120 15214408772260 16394743687688 18257290526712 20493429609610 22821613158390 24592115531532 26784435908374 29462308524240 30428817544520 30740144414415 32789487375376 36514581053424 40176653862561 40986859219220 45643226316780 49184231063064 53568871816748 60857635089040 61480288828830 66961089770935 80353307725122 81973718438440 91286452633560 98368462126128 107137743633496 122960577657660 133922179541870 160706615450244 163947436876880 182572905267120 200883269312805 214275487266992 245921155315320 267844359083740 321413230900488 401766538625610 491842310630640 535688718167480 575865372030041 642826461800976 803533077251220 1071377436334960 1151730744060082 1607066154502440 1727596116090123 2303461488120164 2879326860150205 3214132309004880 3455192232180246 4606922976240328 5758653720300410 6910384464360492 8637980580450615 9213845952480656 11517307440600820 13820768928720984 17275961160901230 23034614881201640 27641537857441968 34551922321802460 46069229762403280 69103844643604920 138207689287209840
- Sum of all divisors σ(n): 440675761754409984
- Sum of proper divisors (its aliquot sum) s(n): 302468072467200144
- 138207689287209840 is an abundant number, because the sum of its proper divisors (302468072467200144) is greater than itself. Its abundance is 164260383179990304
Bases of 138207689287209840
- Binary: 1111010110000001100101001010000010011000100010011011100002
- Hexadecimal: 0x1EB032941311370
- Base-36: 11SUJBY0TAPC
Squares and roots of 138207689287209840
- 138207689287209840 squared (1382076892872098402) is 19101365378109937571409012192825600
- 138207689287209840 cubed (1382076892872098403) is 2639955571139285753707206721237619522497889723904000
-
The
square root of 138207689287209840 is 371762947.7062094739 -
The
cube root of 138207689287209840 is 517024.0381397143
Scales and comparisons
How big is 138207689287209840?- 138,207,689,287,209,840 seconds is equal to 4,394,577,014 years, 45 weeks, 5 days, 18 hours, 44 minutes.
-
To count from 1 to 138,207,689,287,209,840 would take you about thirteen billion, one hundred eighty-three million, seven hundred thirty-one thousand and forty-four 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 138207689287209840 cubic inches would be around 43085.3 feet tall.
Recreational maths with 138207689287209840
- 138207689287209840 backwards is 048902782986702831
- The number of decimal digits it has is: 18
- The sum of 138207689287209840's digits is 84
- More coming soon!
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The information we have on file for 138207689287209840 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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