138495820989477600
138,495,820,989,477,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138495820989477600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
138495820989477600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 138495820989477600:
25 × 32 × 52 × 11 × 29 × 47 × 1282967431
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 29 × 47 × 1282967431)See below for interesting mathematical facts about the number 138495820989477600 from the Numbermatics database.
Names of 138495820989477600
- Cardinal: 138495820989477600 can be written as One hundred thirty-eight quadrillion, four hundred ninety-five trillion, eight hundred twenty billion, nine hundred eighty-nine million, four hundred seventy-seven thousand, six hundred.
Scientific notation
- Scientific notation: 1.384958209894776 × 1017
Factors of 138495820989477600
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 1282967528
Divisors of 138495820989477600
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 29 30 32 33 36 40 44 45 47 48 50 55 58 60 66 72 75 80 87 88 90 94 96 99 100 110 116 120 132 141 144 145 150 160 165 174 176 180 188 198 200 220 225 232 235 240 261 264 275 282 288 290 300 319 330 348 352 360 376 396 400 423 435 440 450 464 470 480 495 517 522 528 550 564 580 600 638 660 696 705 720 725 752 792 800 825 846 870 880 900 928 940 957 990 1034 1044 1056 1100 1128 1160 1175 1200 1276 1305 1320 1363 1392 1410 1440 1450 1504 1551 1584 1595 1650 1692 1740 1760 1800 1880 1914 1980 2068 2088 2115 2175 2200 2256 2320 2350 2400 2475 2552 2585 2610 2640 2726 2784 2820 2871 2900 3102 3168 3190 3300 3384 3480 3525 3600 3760 3828 3960 4089 4136 4176 4230 4350 4400 4512 4640 4653 4700 4785 4950 5104 5170 5220 5280 5452 5640 5742 5800 6204 6380 6525 6600 6768 6815 6960 7050 7200 7520 7656 7755 7920 7975 8178 8272 8352 8460 8700 8800 9306 9400 9570 9900 10208 10340 10440 10575 10904 11280 11484 11600 12267 12408 12760 12925 13050 13200 13536 13630 13920 14100 14355 14993 15312 15510 15840 15950 16356 16544 16920 17400 18612 18800 19140 19800 20445 20680 20880 21150 21808 22560 22968 23200 23265 23925 24534 24816 25520 25850 26100 26400 27260 28200 28710 29986 30624 31020 31900 32712 33840 34075 34800 37224 37600 38280 38775 39600 40890 41360 41760 42300 43616 44979 45936 46530 47850 49068 49632 51040 51700 52200 54520 56400 57420 59972 61335 62040 63800 65424 67680 68150 69600 71775 74448 74965 76560 77550 79200 81780 82720 84600 89958 91872 93060 95700 98136 102225 103400 104400 109040 112800 114840 116325 119944 122670 124080 127600 130848 134937 136300 143550 148896 149930 153120 155100 163560 169200 179916 186120 191400 196272 204450 206800 208800 218080 224895 229680 232650 239888 245340 248160 255200 269874 272600 287100 299860 306675 310200 327120 338400 359832 372240 374825 382800 392544 408900 413600 449790 459360 465300 479776 490680 539748 545200 574200 599720 613350 620400 654240 674685 719664 744480 749650 765600 817800 899580 930600 981360 1079496 1090400 1124475 1148400 1199440 1226700 1240800 1349370 1439328 1499300 1635600 1799160 1861200 1962720 2158992 2248950 2296800 2398880 2453400 2698740 2998600 3271200 3373425 3598320 3722400 4317984 4497900 4906800 5397480 5997200 6746850 7196640 8995800 9813600 10794960 11994400 13493700 17991600 21589920 26987400 35983200 53974800 107949600 1282967431 2565934862 3848902293 5131869724 6414837155 7697804586 10263739448 11546706879 12829674310 14112641741 15395609172 19244511465 20527478896 23093413758 25659348620 28225283482 30791218344 32074185775 37206055499 38489022930 41054957792 42337925223 46186827516 51318697240 56450566964 57733534395 60299469257 61582436688 64148371550 70563208705 74412110998 76978045860 84675850446 92373655032 96222557325 102637394480 111618166497 112901133928 115467068790 120598938514 123164873376 127013775669 128296743100 141126417410 148824221996 153956091720 169351700892 180898407771 184747310064 186030277495 192445114650 205274788960 211689626115 223236332994 225802267856 230934137580 241197877028 254027551338 256593486200 282252834820 288667671975 297648443992 301497346285 307912183440 334854499491 338703401784 352816043525 361796815542 369494620128 372060554990 384890229300 409266610489 423379252230 446472665988 451604535712 461868275160 482395754056 508055102676 513186972400 542695223313 558090832485 564505669640 577335343950 595296887984 602994692570 615824366880 635068878345 663294161827 669708998982 677406803568 705632087050 723593631084 744121109980 769780458600 818533220978 846758504460 892945331976 904492038855 923736550320 930151387475 964791508112 1016110205352 1026373944800 1058448130575 1085390446626 1116181664970 1129011339280 1154670687900 1190593775968 1205989385140 1227799831467 1270137756690 1326588323654 1339417997964 1354813607136 1411264174100 1447187262168 1488242219960 1507486731425 1539560917200 1637066441956 1674272497455 1693517008920 1748684608453 1785890663952 1808984077710 1847473100640 1860302774950 1929583016224 1989882485481 2032220410704 2046333052445 2116896261150 2170780893252 2232363329940 2258022678560 2309341375800 2411978770280 2455599662934 2540275513380 2653176647308 2678835995928 2713476116565 2790454162425 2822528348200 2894374524336 2976484439920 3014973462850 3079121834400 3175344391725 3274132883912 3316470809135 3348544994910 3387034017840 3497369216906 3571781327904 3617968155420 3683399494401 3720605549900 3979764970962 4064440821408 4092666104890 4233792522300 4341561786504 4464726659880 4522460194275 4618682751600 4823957540560 4911199325868 5080551026760 5246053825359 5306353294616 5357671991856 5426952233130 5580908324850 5645056696400 5788749048672 5952968879840 5969647456443 6029946925700 6138999157335 6350688783450 6548265767824 6632941618270 6697089989820 6774068035680 6994738433812 7235936310840 7366798988802 7441211099800 7959529941924 8185332209780 8371362487275 8467585044600 8683123573008 8743423042265 8929453319760 9044920388550 9237365503200 9647915081120 9822398651736 9949412427405 10161102053520 10231665262225 10492107650718 10612706589232 10715343983712 10853904466260 11161816649700 11290113392800 11939294912886 12059893851400 12277998314670 12701377566900 13096531535648 13265883236540 13394179979640 13567380582825 13989476867624 14471872621680 14733597977604 14882422199600 15738161476077 15919059883848 16370664419560 16582354045675 16742724974550 16935170089200 17366247146016 17486846084530 17858906639520 18089840777100 18416997472005 19235530692983 19644797303472 19898824854810 20322204107040 20463330524450 20984215301436 21225413178464 21707808932520 22323633299400 23878589825772 24119787702800 24555996629340 25402755133800 26230269126795 26531766473080 26788359959280 27134761165650 27978953735248 28943745243360 29467195955208 29764844399200 29848237282215 30694995786675 31476322952154 31838119767696 32741328839120 33164708091350 33485449949100 33870340178400 34973692169060 36179681554200 36833994944010 38471061385966 39289594606944 39797649709620 40926661048900 41968430602872 43415617865040 43717115211325 44647266598800 47757179651544 48239575405600 49111993258680 49747062137025 50805510267600 52460538253590 53063532946160 53576719918560 54269522331300 55957907470496 57706592078949 58934391910416 59696474564430 61389991573350 62952645904308 63676239535392 65482657678240 66329416182700 66970899898200 69947384338120 72359363108400 73667989888020 76942122771932 78690807380385 79595299419240 81853322097800 83936861205744 86831235730080 87434230422650 89294533197600 92084987360025 95514359303088 96177653464915 98223986517360 99494124274050 101611020535200 104921076507180 106127065892320 108539044662600 115413184157898 117868783820832 119392949128860 122779983146700 125905291808616 131151345633975 132658832365400 133941799796400 139894768676240 144718726216800 147335979776040 149241186411075 153884245543864 157381614760770 159190598838480 163706644195600 167873722411488 173119776236847 174868460845300 184169974720050 191028718606176 192355306929830 196447973034720 198988248548100 209842153014360 217078089325200 230826368315796 238785898257720 245559966293400 251810583617232 262302691267950 265317664730800 267883599592800 279789537352480 288532960394745 294671959552080 298482372822150 307768491087728 314763229521540 318381197676960 327413288391200 346239552473694 349736921690600 368339949440100 384710613859660 393454036901925 397976497096200 419684306028720 434156178650400 461652736631592 477571796515440 480888267324575 491119932586800 503621167234464 524605382535900 530635329461600 577065920789490 589343919104160 596964745644300 615536982175456 629526459043080 692479104947388 699473843381200 736679898880200 769421227719320 786908073803850 795952994192400 839368612057440 865598881184235 923305473263184 955143593030880 961776534649150 982239865173600 1049210765071800 1154131841578980 1193929491288600 1259052918086160 1384958209894776 1398947686762400 1442664801973725 1473359797760400 1538842455438640 1573816147607700 1591905988384800 1731197762368470 1846610946526368 1923553069298300 2098421530143600 2308263683157960 2387858982577200 2518105836172320 2769916419789552 2885329603947450 2946719595520800 3077684910877280 3147632295215400 3462395524736940 3847106138596600 4196843060287200 4327994405921175 4616527366315920 4775717965154400 5539832839579104 5770659207894900 6295264590430800 6924791049473880 7694212277193200 8655988811842350 9233054732631840 11541318415789800 12590529180861600 13849582098947760 15388424554386400 17311977623684700 23082636831579600 27699164197895520 34623955247369400 46165273663159200 69247910494738800 138495820989477600
- Sum of all divisors σ(n): 562865935064509440
- Sum of proper divisors (its aliquot sum) s(n): 424370114075031840
- 138495820989477600 is an abundant number, because the sum of its proper divisors (424370114075031840) is greater than itself. Its abundance is 285874293085554240
Bases of 138495820989477600
- Binary: 1111011000000100100110111001001001111010000110010111000002
- Hexadecimal: 0x1EC093724F432E0
- Base-36: 11VOO5TL0540
Squares and roots of 138495820989477600
- 138495820989477600 squared (1384958209894776002) is 19181092431549424146329920901760000
- 138495820989477600 cubed (1384958209894776003) is 2656501143782492672221450871516969585263320576000000
-
The
square root of 138495820989477600 is 372150266.6793046919 -
The
cube root of 138495820989477600 is 517383.0813862129
Scales and comparisons
How big is 138495820989477600?- 138,495,820,989,477,600 seconds is equal to 4,403,738,711 years, 39 weeks, 4 days, 22 hours.
-
To count from 1 to 138,495,820,989,477,600 would take you about thirteen billion, two hundred eleven million, two hundred sixteen thousand, one hundred thirty-five 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 138495820989477600 cubic inches would be around 43115.3 feet tall.
Recreational maths with 138495820989477600
- 138495820989477600 backwards is 006774989028594831
- 138495820989477600 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138495820989477600's digits is 90
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138495820989477600 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
APA style:
Numbermatics. (2024). Number 138495820989477600 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/138495820989477600/
Chicago style:
Numbermatics. 2024. "Number 138495820989477600 - Facts about the integer". https://numbermatics.com/n/138495820989477600/
The information we have on file for 138495820989477600 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 138495820989477600, math, Factors of 138495820989477600, curriculum, school, college, exams, university, Prime factorization of 138495820989477600, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, four hundred ninety-five trillion, eight hundred twenty billion, nine hundred eighty-nine million, four hundred seventy-seven thousand, six hundred.