138736456358422320
138,736,456,358,422,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138736456358422320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 640 divisors.
138736456358422320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 138736456358422320:
24 × 33 × 5 × 89 × 1223 × 14549 × 40559
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 89 × 1223 × 14549 × 40559)See below for interesting mathematical facts about the number 138736456358422320 from the Numbermatics database.
Names of 138736456358422320
- Cardinal: 138736456358422320 can be written as One hundred thirty-eight quadrillion, seven hundred thirty-six trillion, four hundred fifty-six billion, three hundred fifty-eight million, four hundred twenty-two thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3873645635842232 × 1017
Factors of 138736456358422320
Divisors of 138736456358422320
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 89 90 108 120 135 144 178 180 216 240 267 270 356 360 432 445 534 540 712 720 801 890 1068 1080 1223 1335 1424 1602 1780 2136 2160 2403 2446 2670 3204 3560 3669 4005 4272 4806 4892 5340 6115 6408 7120 7338 8010 9612 9784 10680 11007 12015 12230 12816 14549 14676 16020 18345 19224 19568 21360 22014 24030 24460 29098 29352 32040 33021 36690 38448 40559 43647 44028 48060 48920 55035 58196 58704 64080 66042 72745 73380 81118 87294 88056 96120 97840 108847 110070 116392 121677 130941 132084 145490 146760 162236 165105 174588 176112 192240 202795 217694 218235 220140 232784 243354 261882 264168 290980 293520 324472 326541 330210 349176 365031 392823 405590 435388 436470 440280 486708 523764 528336 544235 581960 608385 648944 653082 654705 660420 698352 730062 785646 811180 870776 872940 880560 973416 979623 1047528 1088470 1095093 1163920 1216770 1294861 1306164 1309410 1320840 1460124 1571292 1622360 1632705 1741552 1745880 1825155 1946832 1959246 1964115 2095056 2176940 2190186 2433540 2589722 2612328 2618820 2641680 2920248 2938869 3142584 3244720 3265410 3491760 3609751 3650310 3884583 3918492 3928230 4353880 4380372 4867080 4898115 5179444 5224656 5237640 5475465 5840496 5877738 6285168 6474305 6530820 7219502 7300620 7769166 7836984 7856460 8707760 8760744 9734160 9796230 10358888 10475280 10829253 10950930 11653749 11755476 12948610 13061640 14439004 14601240 14694345 15538332 15673968 15712920 17521488 17793427 18048755 19422915 19592460 20717776 21658506 21901860 23307498 23510952 25897220 26123280 28878008 29202480 29388690 31076664 31425840 32487759 34961247 35586854 36097510 38845830 39184920 43317012 43803720 46614996 47021904 49603657 51794440 53380281 54146265 57756016 58268745 58777380 62153328 64975518 69922494 71173708 72195020 77691660 78369840 86634024 87607440 88967135 93229992 97463277 99207314 103588880 106760562 108292530 116537490 117554760 129951036 139844988 142347416 144390040 148810971 155383320 160140843 162438795 173268048 174806235 177934270 186459984 194926554 198414628 213521124 216585060 233074980 235109520 248018285 259902072 266901405 279689976 284694832 288780080 297621942 310766640 320281686 324877590 349612470 355868540 389853108 396829256 427042248 433170120 446432913 466149960 480422529 487316385 496036570 519804144 533802810 559379952 590092891 595243884 640563372 649755180 699224940 711737080 744054855 779706216 793658512 800704215 854084496 866340240 892865826 932299920 960845058 974632770 992073140 1067605620 1180185782 1190487768 1281126744 1299510360 1339298739 1398449880 1423474160 1488109710 1559412432 1583615003 1601408430 1770278673 1785731652 1921690116 1949265540 1984146280 2135211240 2232164565 2360371564 2380975536 2402112645 2562253488 2599020720 2678597478 2796899760 2950464455 2976219420 3167230006 3202816860 3540557346 3571463304 3843380232 3898531080 3968292560 4270422480 4414725473 4464329130 4720743128 4750845009 4804225290 5310836019 5357194956 5900928910 5952438840 6334460012 6405633720 6696493695 7081114692 7142926608 7686760464 7797062160 7918075015 8829450946 8851393365 8928658260 9441486256 9501690018 9608450580 10621672038 10714389912 11801857820 11904877680 12668920024 12811267440 13244176419 13392987390 14162229384 14252535027 15836150030 15932508057 17658901892 17702786730 17857316520 19003380036 19216901160 21243344076 21428779824 22073627365 23603715640 23754225045 25337840048 26488352838 26554180095 26785974780 28324458768 28505070054 31672300060 31865016114 35317803784 35405573460 35714633040 38006760072 38433802320 39732529257 42486688152 42757605081 44147254730 47207431280 47508450090 52518267299 52976705676 53108360190 53571949560 57010140108 63344600120 63730032228 66220882095 70635607568 70811146920 71262675135 76013520144 79465058514 79662540285 84973376304 85515210162 88294509460 95016900180 105036534598 105953411352 106216720380 107143899120 114020280216 119197587771 126689200240 127460064456 132441764190 141622293840 142525350270 157554801897 158930117028 159325080570 171030420324 176589018920 190033800360 198662646285 210073069196 211906822704 212433440760 213788025405 228040560432 238395175542 254920128912 262591336495 264883528380 285050700540 315109603794 317860234056 318650161140 342060840648 353178037840 380067600720 397325292570 420146138392 424866881520 427576050810 472664405691 476790351084 525182672990 529767056760 570101401080 595987938855 630219207588 635720468112 637300322280 684121681296 721683605693 787774009485 794650585140 840292276784 855152101620 945328811382 953580702168 1050365345980 1059534113520 1140202802160 1191975877710 1260438415176 1274600644560 1417993217073 1443367211386 1575548018970 1589301170280 1710304203240 1890657622764 1907161404336 2100730691960 2165050817079 2363322028455 2383951755420 2520876830352 2835986434146 2886734422772 3151096037940 3178602340560 3420608406480 3608418028465 3781315245528 4201461383920 4330101634158 4726644056910 4767903510840 5671972868292 5773468845544 6302192075880 6495152451237 7089966085365 7216836056930 7562630491056 8660203268316 9453288113820 9535807021680 10825254085395 11343945736584 11546937691088 12604384151760 12990304902474 14179932170730 14433672113860 17320406536632 18906576227640 19485457353711 21650508170790 22687891473168 25980609804948 28359864341460 28867344227720 32475762256185 34640813073264 37813152455280 38970914707422 43301016341580 51961219609896 56719728682920 57734688455440 64229840906677 64951524512370 77941829414844 86602032683160 97427286768555 103922439219792 113439457365840 128459681813354 129903049024740 155883658829688 173204065366320 192689522720031 194854573537110 256919363626708 259806098049480 311767317659376 321149204533385 385379045440062 389709147074220 513838727253416 519612196098960 578068568160093 642298409066770 770758090880124 779418294148440 963447613600155 1027677454506832 1156137136320186 1284596818133540 1541516181760248 1558836588296880 1734205704480279 1926895227200310 2312274272640372 2569193636267080 2890342840800465 3083032363520496 3468411408960558 3853790454400620 4624548545280744 5138387272534160 5780685681600930 6936822817921116 7707580908801240 8671028522401395 9249097090561488 11561371363201860 13873645635842232 15415161817602480 17342057044802790 23122742726403720 27747291271684464 34684114089605580 46245485452807440 69368228179211160 138736456358422320
- Sum of all divisors σ(n): 483679635379200000
- Sum of proper divisors (its aliquot sum) s(n): 344943179020777680
- 138736456358422320 is an abundant number, because the sum of its proper divisors (344943179020777680) is greater than itself. Its abundance is 206206722662355360
Bases of 138736456358422320
- Binary: 1111011001110010000010010011011101010001111100111001100002
- Hexadecimal: 0x1ECE4126EA3E730
- Base-36: 11Y1YW6MNHO0
Squares and roots of 138736456358422320
- 138736456358422320 squared (1387364563584223202) is 19247804322892420984662399474182400
- 138736456358422320 cubed (1387364563584223203) is 2670372164438416836989222299243711309877635911168000
-
The
square root of 138736456358422320 is 372473430.4060120743 -
The
cube root of 138736456358422320 is 517682.5576471961
Scales and comparisons
How big is 138736456358422320?- 138,736,456,358,422,320 seconds is equal to 4,411,390,172 years, 8 weeks, 2 days, 22 hours, 12 minutes.
-
To count from 1 to 138,736,456,358,422,320 would take you about thirteen billion, two hundred thirty-four million, one hundred seventy thousand, five hundred sixteen 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 138736456358422320 cubic inches would be around 43140.2 feet tall.
Recreational maths with 138736456358422320
- 138736456358422320 backwards is 023224853654637831
- 138736456358422320 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138736456358422320's digits is 72
- More coming soon!
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The information we have on file for 138736456358422320 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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