138218906921713920
138,218,906,921,713,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 138218906921713920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
138218906921713920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138218906921713920:
28 × 32 × 5 × 412 × 4332 × 38069
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 41 × 41 × 433 × 433 × 38069)See below for interesting mathematical facts about the number 138218906921713920 from the Numbermatics database.
Names of 138218906921713920
- Cardinal: 138218906921713920 can be written as One hundred thirty-eight quadrillion, two hundred eighteen trillion, nine hundred six billion, nine hundred twenty-one million, seven hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3821890692171392 × 1017
Factors of 138218906921713920
Divisors of 138218906921713920
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 64 72 80 82 90 96 120 123 128 144 160 164 180 192 205 240 246 256 288 320 328 360 369 384 410 433 480 492 576 615 640 656 720 738 768 820 866 960 984 1152 1230 1280 1299 1312 1440 1476 1640 1681 1732 1845 1920 1968 2165 2304 2460 2598 2624 2880 2952 3280 3362 3464 3690 3840 3897 3936 4330 4920 5043 5196 5248 5760 5904 6495 6560 6724 6928 7380 7794 7872 8405 8660 9840 10086 10392 10496 11520 11808 12990 13120 13448 13856 14760 15129 15588 15744 16810 17320 17753 19485 19680 20172 20784 23616 25215 25980 26240 26896 27712 29520 30258 31176 31488 33620 34640 35506 38069 38970 39360 40344 41568 47232 50430 51960 52480 53259 53792 55424 59040 60516 62352 67240 69280 71012 75645 76138 77940 78720 80688 83136 88765 94464 100860 103920 106518 107584 110848 114207 118080 121032 124704 134480 138560 142024 151290 152276 155880 157440 159777 161376 166272 177530 187489 190345 201720 207840 213036 215168 228414 236160 242064 249408 266295 268960 277120 284048 302580 304552 311760 319554 322752 332544 342621 355060 374978 380690 403440 415680 426072 430336 456828 472320 484128 498816 532590 537920 554240 562467 568096 571035 605160 609104 623520 639108 645504 685242 710120 727873 749956 761380 798885 806880 831360 852144 913656 937445 968256 997632 1065180 1075840 1124934 1136192 1142070 1210320 1218208 1247040 1278216 1291008 1370484 1420240 1455746 1499912 1522760 1560829 1597770 1613760 1662720 1687401 1704288 1713105 1827312 1874890 1936512 2130360 2151680 2183619 2249868 2272384 2284140 2420640 2436416 2494080 2556432 2740968 2812335 2840480 2911492 2999824 3045520 3121658 3195540 3227520 3374802 3408576 3426210 3639365 3654624 3749780 3873024 4260720 4367238 4499736 4544768 4568280 4682487 4841280 4872832 4988160 5112864 5481936 5624670 5680960 5822984 5999648 6091040 6243316 6391080 6455040 6550857 6749604 6817152 6852420 7278730 7309248 7499560 7687049 7804145 8437005 8521440 8734476 8999472 9136560 9364974 9682560 9745664 10225728 10918095 10963872 11249340 11361920 11645968 11999296 12182080 12486632 12782160 13101714 13499208 13634304 13704840 14047461 14557460 14618496 14999120 15374098 15608290 16483877 16874010 17042880 17468952 17998944 18273120 18729948 19365120 20451456 21836190 21927744 22498680 22723840 23061147 23291936 23412435 23998592 24364160 24973264 25564320 26203428 26998416 27409680 28094922 29114920 29236992 29998240 30748196 31216580 32754285 32967754 33748020 34085760 34937904 35997888 36546240 37459896 38435245 40902912 43672380 43855488 44997360 46122294 46583872 46824870 47997184 48728320 49451631 49946528 51128640 52406856 53996832 54819360 56189844 58229840 59996480 61496392 62433160 63993989 65508570 65935508 67496040 68171520 69183441 69875808 70237305 71995776 73092480 74919792 76870490 82419385 87344760 87710976 89994720 92244588 93167744 93649740 98903262 99893056 102257280 104813712 107993664 109638720 112379688 115305735 116459680 119992960 122992784 124866320 127987978 131017140 131871016 134992080 138366882 139751616 140474610 143991552 146184960 148354893 149839584 153740980 164838770 174689520 179989440 184489176 186335488 187299480 191981967 197806524 199786112 204514560 209627424 215987328 219277440 224759376 230611470 232919360 239985920 245985568 247258155 249732640 255975956 262034280 263742032 269984160 276733764 279503232 280949220 296709786 299679168 307481960 315169009 319969945 329677540 345917205 349379040 359978880 368978352 374598960 383963934 395613048 399572224 419254848 431974656 438554880 449518752 461222940 465838720 491971136 494516310 499465280 511951912 524068560 527484064 539968320 553467528 559006464 561898440 575945901 593419572 599358336 614963920 630338018 639939890 659355080 675838957 691834410 698758080 719957760 737956704 741774465 749197920 767927868 791226096 838509696 899037504 922445880 931677440 945507027 959909835 983942272 989032620 998930560 1023903824 1048137120 1054968128 1079936640 1106935056 1123796880 1151891802 1186839144 1198716672 1229927840 1260676036 1279879780 1318710160 1351677914 1383668820 1397516160 1475913408 1483548930 1498395840 1535855736 1575845045 1582452192 1677019392 1798075008 1844891760 1891014054 1919819670 1967884544 1978065240 1997861120 2027516871 2047807648 2096274240 2109936256 2159873280 2213870112 2247593760 2303783604 2373678288 2459855680 2521352072 2559759560 2637420320 2703355828 2767337640 2795032320 2836521081 2879729505 2951826816 2967097860 2996791680 3071711472 3151690090 3164904384 3379194785 3596150016 3689783520 3782028108 3839639340 3956130480 4055033742 4095615296 4192548480 4219872512 4427740224 4495187520 4607567208 4727535135 4747356576 4919711360 5042704144 5119519120 5274840640 5406711656 5534675280 5673042162 5759459010 5903653632 5934195720 5993583360 6082550613 6143422944 6303380180 6329808768 6758389570 7137518741 7379567040 7564056216 7679278680 7912260960 8110067484 8191230592 8385096960 8855480448 8990375040 9215134416 9455070270 9494713152 9839422720 10085408288 10137584355 10239038240 10549681280 10813423312 11069350560 11346084324 11518918020 11868391440 12165101226 12286845888 12606760360 12659617536 13516779140 14182605405 14275037482 14759134080 15128112432 15358557360 15824521920 16220134968 16382461184 17710960896 17980750080 18430268832 18910140540 18989426304 20170816576 20275168710 20478076480 21099362560 21412556223 21626846624 22138701120 22692168648 23037836040 23736782880 24330202452 24573691776 25213520720 27033558280 27709397237 28365210810 28550074964 29518268160 30256224864 30412753065 30717114720 31649043840 32440269936 35687593705 36860537664 37820281080 37978852608 40341633152 40550337420 40956152960 42825112446 43253693248 44277402240 45384337296 46075672080 47473565760 48660404904 49147383552 50427041440 54067116560 55418794474 56730421620 57100149928 60512449728 60825506130 61434229440 63298087680 64237668669 64880539872 71375187410 73721075328 75640562160 80683266304 81100674840 81912305920 83128191711 85650224892 86507386496 88554804480 90768674592 92151344160 94947131520 97320809808 100854082880 107062781115 108134233120 110837588948 113460843240 114200299856 121024899456 121651012260 122868458880 128475337338 129761079744 138546986185 142750374820 147442150656 151281124320 162201349680 166256383422 171300449784 173014772992 181537349184 184302688320 189894263040 194641619616 201708165760 214125562230 216268466240 221675177896 226921686480 228400599712 242049798912 243302024520 245736917760 249384575133 256950674676 259522159488 277093972370 285500749640 292638268381 302562248640 321188343345 324402699360 332512766844 342600899568 363074698368 368605376640 389283239232 403416331520 415640958555 428251124460 432536932480 443350355792 453843372960 456801199424 486604049040 498769150266 513901349352 519044318976 554187944740 571001499280 585276536762 605124497280 642376686690 648805398720 665025533688 685201799136 726149396736 737210753280 778566478464 831281917110 856502248920 865073864960 877914805143 886700711584 907686745920 913602398848 973208098080 997538300532 1027802698704 1108375889480 1142002998560 1170553073524 1210248994560 1246922875665 1284753373380 1297610797440 1330051067376 1370403598272 1463191341905 1557132956928 1662563834220 1713004497840 1755829610286 1773401423168 1815373491840 1827204797696 1946416196160 1995076601064 2055605397408 2216751778960 2284005997120 2341106147048 2493845751330 2569506746760 2595221594880 2633744415429 2660102134752 2740807196544 2926382683810 3325127668440 3426008995680 3511659220572 3546802846336 3630746983680 3892832392320 3990153202128 4111210794816 4389574025715 4433503557920 4568011994240 4682212294096 4987691502660 5139013493520 5267488830858 5320204269504 5481614393088 5852765367620 6650255336880 6852017991360 7023318441144 7093605692672 7785664784640 7980306404256 8222421589632 8779148051430 8867007115840 9136023988480 9364424588192 9975383005320 10278026987040 10534977661716 10640408539008 11705530735240 11998169003621 13168722077145 13300510673760 13704035982720 14046636882288 15960612808512 16444843179264 17558296102860 17734014231680 18728849176384 19950766010640 20556053974080 21069955323432 21280817078016 23411061470480 23996338007242 26337444154290 26601021347520 27408071965440 28093273764576 31921225617024 35116592205720 35468028463360 35994507010863 37457698352768 39901532021280 41112107948160 42139910646864 46822122940960 47992676014484 52674888308580 53202042695040 56186547529152 59990845018105 63842451234048 70233184411440 71989014021726 74915396705536 79803064042560 82224215896320 84279821293728 93644245881920 95985352028968 105349776617160 106404085390080 107983521032589 112373095058304 119981690036210 140466368822880 143978028043452 159606128085120 168559642587456 179972535054315 187288491763840 191970704057936 210699553234320 215967042065178 224746190116608 239963380072420 280932737645760 287956056086904 319212256170240 337119285174912 359945070108630 374576983527680 383941408115872 421399106468640 431934084130356 479926760144840 539917605162945 561865475291520 575912112173808 674238570349824 719890140217260 767882816231744 842798212937280 863868168260712 959853520289680 1079835210325890 1123730950583040 1151824224347616 1439780280434520 1535765632463488 1685596425874560 1727736336521424 1919707040579360 2159670420651780 2303648448695232 2879560560869040 3071531264926976 3371192851749120 3455472673042848 3839414081158720 4319340841303560 4607296897390464 5759121121738080 6910945346085696 7678828162317440 8638681682607120 9214593794780928 11518242243476160 13821890692171392 15357656324634880 17277363365214240 23036484486952320 27643781384342784 34554726730428480 46072968973904640 69109453460856960 138218906921713920
- Sum of all divisors σ(n): 491319039304105740
- Sum of proper divisors (its aliquot sum) s(n): 353100132382391820
- 138218906921713920 is an abundant number, because the sum of its proper divisors (353100132382391820) is greater than itself. Its abundance is 214881225460677900
Bases of 138218906921713920
- Binary: 1111010110000110101011101000100000100111111000001000000002
- Hexadecimal: 0x1EB0D5D104FC100
- Base-36: 11SYIH96RLS0
Squares and roots of 138218906921713920
- 138218906921713920 squared (1382189069217139202) is 19104466230633416184299590321766400
- 138218906921713920 cubed (1382189069217139203) is 2640598439720946930981333864744957645427769868288000
-
The
square root of 138218906921713920 is 371778034.4798680007 -
The
cube root of 138218906921713920 is 517038.0258558665
Scales and comparisons
How big is 138218906921713920?- 138,218,906,921,713,920 seconds is equal to 4,394,933,700 years, 49 weeks, 6 days, 11 hours, 12 minutes.
-
To count from 1 to 138,218,906,921,713,920 would take you about thirteen billion, one hundred eighty-four million, eight hundred one thousand, one hundred two 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 138218906921713920 cubic inches would be around 43086.5 feet tall.
Recreational maths with 138218906921713920
- 138218906921713920 backwards is 029317129609812831
- 138218906921713920 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138218906921713920's digits is 72
- More coming soon!
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The information we have on file for 138218906921713920 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!
Keywords: Divisors of 138218906921713920, math, Factors of 138218906921713920, curriculum, school, college, exams, university, Prime factorization of 138218906921713920, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, two hundred eighteen trillion, nine hundred six billion, nine hundred twenty-one million, seven hundred thirteen thousand, nine hundred twenty.