138842090689536
138,842,090,689,536 is an even composite number composed of five prime numbers multiplied together.
What does the number 138842090689536 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1320 divisors.
138842090689536 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty divisors.
Prime factorization of 138842090689536:
210 × 39 × 13 × 19 × 1672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 19 × 167 × 167)See below for interesting mathematical facts about the number 138842090689536 from the Numbermatics database.
Names of 138842090689536
- Cardinal: 138842090689536 can be written as One hundred thirty-eight trillion, eight hundred forty-two billion, ninety million, six hundred eighty-nine thousand, five hundred thirty-six.
Scientific notation
- Scientific notation: 1.38842090689536 × 1014
Factors of 138842090689536
Divisors of 138842090689536
- Number of divisors d(n): 1320
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 64 72 76 78 81 96 104 108 114 117 128 144 152 156 162 167 171 192 208 216 228 234 243 247 256 288 304 312 324 334 342 351 384 416 432 456 468 486 494 501 512 513 576 608 624 648 668 684 702 729 741 768 832 864 912 936 972 988 1002 1024 1026 1053 1152 1216 1248 1296 1336 1368 1404 1458 1482 1503 1536 1539 1664 1728 1824 1872 1944 1976 2004 2052 2106 2171 2187 2223 2304 2432 2496 2592 2672 2736 2808 2916 2964 3006 3072 3078 3159 3173 3328 3456 3648 3744 3888 3952 4008 4104 4212 4342 4374 4446 4509 4608 4617 4864 4992 5184 5344 5472 5616 5832 5928 6012 6156 6318 6346 6513 6561 6656 6669 6912 7296 7488 7776 7904 8016 8208 8424 8684 8748 8892 9018 9216 9234 9477 9519 9728 9984 10368 10688 10944 11232 11664 11856 12024 12312 12636 12692 13026 13122 13312 13338 13527 13824 13851 14592 14976 15552 15808 16032 16416 16848 17368 17496 17784 18036 18468 18954 19038 19456 19539 19683 19968 20007 20736 21376 21888 22464 23328 23712 24048 24624 25272 25384 26052 26244 26676 27054 27648 27702 27889 28431 28557 29184 29952 31104 31616 32064 32832 33696 34736 34992 35568 36072 36936 37908 38076 39078 39366 39936 40014 40581 41249 41472 41553 42752 43776 44928 46656 47424 48096 49248 50544 50768 52104 52488 53352 54108 55404 55778 56862 57114 58368 58617 59904 60021 62208 63232 64128 65664 67392 69472 69984 71136 72144 73872 75816 76152 78156 78732 80028 81162 82498 82944 83106 83667 85293 85504 85671 87552 89856 93312 94848 96192 98496 101088 101536 104208 104976 106704 108216 110808 111556 113724 114228 117234 119808 120042 121743 123747 124416 124659 126464 128256 131328 134784 138944 139968 142272 144288 147744 151632 152304 156312 157464 160056 162324 164996 166212 167334 170586 171008 171342 175104 175851 179712 180063 186624 189696 192384 196992 202176 203072 208416 209952 213408 216432 221616 223112 227448 228456 234468 240084 243486 247494 248832 249318 251001 252928 255879 256512 257013 262656 269568 277888 279936 284544 288576 295488 303264 304608 312624 314928 320112 324648 329992 332424 334668 341172 342684 351702 359424 360126 362557 365229 371241 373248 373977 379392 384768 393984 404352 406144 416832 419904 426816 432864 443232 446224 454896 456912 468936 480168 486972 494988 498636 502002 511758 513024 514026 525312 527553 529891 539136 540189 555776 559872 569088 577152 590976 606528 609216 625248 629856 640224 649296 659984 664848 669336 682344 685368 703404 720252 725114 730458 742482 746496 747954 753003 758784 769536 771039 787968 808704 812288 833664 839808 853632 865728 886464 892448 909792 913824 937872 960336 973944 989976 997272 1004004 1023516 1028052 1055106 1059782 1078272 1080378 1087671 1095687 1111552 1113723 1119744 1138176 1154304 1181952 1213056 1218432 1250496 1259712 1280448 1298592 1319968 1329696 1338672 1364688 1370736 1406808 1440504 1450228 1460916 1484964 1495908 1506006 1539072 1542078 1575936 1582659 1589673 1617408 1620567 1624576 1667328 1679616 1707264 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8224416 8440848 8478256 8643024 8701368 8765496 8909784 9036036 9252468 9495954 9538038 9704448 9723402 9747456 9789039 10003968 10023507 10077696 10243584 10388736 10559744 10637568 10709376 10917504 10965888 11254464 11524032 11601824 11687328 11879712 11967264 12048048 12336624 12661272 12717384 12964536 13052052 13148244 13364676 13554054 13777166 13851648 13878702 14183424 14243931 14279168 14307057 14556672 14621184 15005952 15365376 15583104 15839616 15956352 16064064 16376256 16448832 16881696 16956512 17286048 17402736 17530992 17819568 18072072 18504936 18991908 19076076 19446804 19578078 20007936 20047014 20155392 20331081 20487168 20665749 20777472 20818053 21119488 21275136 21418752 21835008 21931776 22508928 23048064 23203648 23374656 23759424 23934528 24096096 24673248 25322544 25434768 25929072 26104104 26296488 26729352 27108108 27554332 27757404 28487862 28558336 28614114 29113344 29242368 29367117 30011904 30070521 30730752 31166208 31679232 31912704 32128128 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128763513 131010048 131590656 135053568 135652096 138288384 139221888 140247936 142556544 144576576 148039488 151935264 152608608 155574432 156624624 160376112 162648648 165325992 166544424 170927172 171684684 176202702 180071424 180423126 182979729 184384512 185629184 185991741 186997248 190075392 191476224 192768768 197385984 202580352 203478144 207432576 208832832 210371904 213834816 216864864 220434656 222059232 227902896 228912912 234936936 240564168 243972972 247988988 249816636 257025024 257527026 262020096 263181312 264304053 270107136 270634689 271304192 276576768 278443776 280495872 285113088 289153152 296078976 303870528 305217216 311148864 313249248 320752224 325297296 330651984 333088848 341854344 343369368 352405404 360846252 365959458 371258368 371983482 373994496 380150784 382952448 385537536 386290539 394771968 405160704 406956288 414865152 417665664 420743808 427669632 433729728 440869312 444118464 455805792 457825824 469873872 481128336 487945944 495977976 499633272 515054052 528608106 540214272 541269378 542608384 548939187 553153536 556887552 557975223 560991744 570226176 578306304 592157952 607741056 610434432 622297728 626498496 641504448 650594592 661303968 666177696 683708688 686738736 704810808 721692504 731918916 743966964 771075072 772581078 789543936 792912159 810321408 811904067 813912576 829730304 835331328 841487616 855339264 867459456 881738624 888236928 911611584 915651648 939747744 962256672 975891888 991955952 999266544 1030108104 1057216212 1082538756 1097878374 1113775104 1115950446 1121983488 1140452352 1156612608 1158871617 1184315904 1215482112 1220868864 1244595456 1252996992 1283008896 1301189184 1322607936 1332355392 1367417376 1373477472 1409621616 1443385008 1463837832 1487933928 1545162156 1585824318 1620642816 1623808134 1627825152 1659460608 1670662656 1673925669 1682975232 1710678528 1734918912 1763477248 1776473856 1823223168 1831303296 1879495488 1924513344 1951783776 1983911904 1998533088 2060216208 2114432424 2165077512 2195756748 2231900892 2313225216 2317743234 2368631808 2378736477 2430964224 2441737728 2489190912 2505993984 2566017792 2602378368 2645215872 2664710784 2734834752 2746954944 2819243232 2886770016 2927675664 2975867856 3090324312 3171648636 3247616268 3341325312 3347851338 3365950464 3421357056 3469837824 3476614851 3526954496 3552947712 3646446336 3662606592 3758990976 3849026688 3903567552 3967823808 3997066176 4120432416 4228864848 4330155024 4391513496 4463801784 4635486468 4757472954 4861928448 4883475456 4978381824 5011987968 5021777007 5132035584 5204756736 5290431744 5329421568 5469669504 5493909888 5638486464 5773540032 5855351328 5951735712 6180648624 6343297272 6495232536 6695702676 6939675648 6953229702 7053908992 7105895424 7136209431 7292892672 7325213184 7517981952 7698053376 7807135104 7935647616 7994132352 8240864832 8457729696 8660310048 8783026992 8927603568 9270972936 9514945908 10023975936 10043554014 10264071168 10409513472 10429844553 10580863488 10658843136 10939339008 10987819776 11276972928 11547080064 11710702656 11903471424 12361297248 12686594544 12990465072 13391405352 13906459404 14272418862 14585785344 14650426368 15035963904 15065331021 15396106752 15614270208 15871295232 15988264704 16481729664 16915459392 17320620096 17566053984 17855207136 18541945872 19029891816 20087108028 20819026944 20859689106 21161726976 21317686272 21878678016 21975639552 22553945856 23094160128 23421405312 23806942848 24722594496 25373189088 25980930144 26782810704 27812918808 28544837724 30071927808 30130662042 30792213504 31228540416 31742590464 31976529408 32963459328 33830918784 34641240192 35132107968 35710414272 37083891744 38059783632 40174216056 41719378212 43757356032 43951279104 45107891712 45195993063 46188320256 46842810624 47613885696 49445188992 50746378176 51961860288 53565621408 55625837616 57089675448 60261324084 62457080832 63485180928 63953058816 65926918656 67661837568 69282480384 70264215936 71420828544 74167783488 76119567264 80348432112 83438756424 90215783424 90391986126 92376640512 93685621248 95227771392 98890377984 101492756352 103923720576 107131242816 111251675232 114179350896 120522648168 131853837312 135323675136 135587979189 138564960768 140528431872 142841657088 148335566976 152239134528 160696864224 166877512848 180783972252 187371242496 190455542784 197780755968 202985512704 207847441152 214262485632 222503350464 228358701792 241045296336 270647350272 271175958378 277129921536 281056863744 285683314176 296671133952 304478269056 321393728448 333755025696 361567944504 395561511936 405971025408 415694882304 428524971264 445006700928 456717403584 482090592672 542351916756 562113727488 571366628352 593342267904 608956538112 642787456896 667510051392 723135889008 811942050816 831389764608 857049942528 890013401856 913434807168 964181185344 1084703833512 1186684535808 1217913076224 1285574913792 1335020102784 1446271778016 1714099885056 1780026803712 1826869614336 1928362370688 2169407667024 2435826152448 2571149827584 2670040205568 2892543556032 3560053607424 3653739228672 3856724741376 4338815334048 5142299655168 5340080411136 5785087112064 7307478457344 7713449482752 8677630668096 10680160822272 11570174224128 15426898965504 17355261336192 23140348448256 34710522672384 46280696896512 69421045344768 138842090689536
- Sum of all divisors σ(n): 474779876142880
- Sum of proper divisors (its aliquot sum) s(n): 335937785453344
- 138842090689536 is an abundant number, because the sum of its proper divisors (335937785453344) is greater than itself. Its abundance is 197095694763808
Bases of 138842090689536
- Binary: 111111001000110101100010111111011010100000000002
- Hexadecimal: 0x7E46B17ED400
- Base-36: 1D7R6C0000
Squares and roots of 138842090689536
- 138842090689536 squared (1388420906895362) is 19277126147041339215939895296
- 138842090689536 cubed (1388420906895363) is 2676476496741139308066353254880140282822656
-
The
square root of 138842090689536 is 11783127.3730506707 -
The
cube root of 138842090689536 is 51781.3912637061
Scales and comparisons
How big is 138842090689536?- 138,842,090,689,536 seconds is equal to 4,414,749 years, 6 days, 5 hours, 45 minutes, 36 seconds.
-
To count from 1 to 138,842,090,689,536 would take you about eleven million, thirty-six thousand, eight hundred seventy-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 138842090689536 cubic inches would be around 4315.1 feet tall.
Recreational maths with 138842090689536
- 138842090689536 backwards is 635986090248831
- 138842090689536 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138842090689536's digits is 72
- More coming soon!
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"Number 138842090689536 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 138842090689536 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/138842090689536/
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The information we have on file for 138842090689536 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 138842090689536, math, Factors of 138842090689536, curriculum, school, college, exams, university, Prime factorization of 138842090689536, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred forty-two billion, ninety million, six hundred eighty-nine thousand, five hundred thirty-six.