137248270116416640
137,248,270,116,416,640 is an even composite number composed of six prime numbers multiplied together.
What does the number 137248270116416640 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 864 divisors.
137248270116416640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137248270116416640:
27 × 32 × 5 × 3312 × 5572 × 701
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 331 × 331 × 557 × 557 × 701)See below for interesting mathematical facts about the number 137248270116416640 from the Numbermatics database.
Names of 137248270116416640
- Cardinal: 137248270116416640 can be written as One hundred thirty-seven quadrillion, two hundred forty-eight trillion, two hundred seventy billion, one hundred sixteen million, four hundred sixteen thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3724827011641664 × 1017
Factors of 137248270116416640
Divisors of 137248270116416640
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 331 360 384 480 557 576 640 662 701 720 960 993 1114 1152 1324 1402 1440 1655 1671 1920 1986 2103 2228 2648 2785 2804 2880 2979 3310 3342 3505 3972 4206 4456 4965 5013 5296 5570 5608 5760 5958 6309 6620 6684 7010 7944 8355 8412 8912 9930 10026 10515 10592 11140 11216 11916 12618 13240 13368 14020 14895 15888 16710 16824 17824 19860 20052 21030 21184 22280 22432 23832 25065 25236 26480 26736 28040 29790 31545 31776 33420 33648 35648 39720 40104 42060 42368 44560 44864 47664 50130 50472 52960 53472 56080 59580 63090 63552 66840 67296 71296 79440 80208 84120 89120 89728 95328 100260 100944 105920 106944 109561 112160 119160 126180 127104 133680 134592 158880 160416 168240 178240 184367 190656 200520 201888 211840 213888 219122 224320 232031 238320 252360 267360 269184 310249 317760 320832 328683 336480 356480 368734 381312 390457 401040 403776 438244 448640 464062 476640 504720 534720 547805 553101 620498 635520 641664 657366 672960 696093 737468 780914 802080 807552 876488 921835 928124 930747 953280 986049 1009440 1069440 1095610 1106202 1160155 1171371 1240996 1314732 1345920 1392186 1474936 1551245 1561828 1604160 1643415 1659303 1752976 1843670 1856248 1861494 1906560 1952285 1972098 2018880 2088279 2191220 2212404 2320310 2342742 2481992 2629464 2765505 2784372 2792241 2949872 3102490 3123656 3208320 3286830 3318606 3480465 3505952 3514113 3687340 3712496 3722988 3904570 3944196 4037760 4176558 4382440 4424808 4640620 4653735 4685484 4930245 4963984 5258928 5531010 5568744 5584482 5856855 5899744 6204980 6247312 6573660 6637212 6960930 7011904 7028226 7374680 7424992 7445976 7809140 7888392 8296515 8353116 8764880 8849616 9281240 9307470 9370968 9860490 9927968 10441395 10517856 11062020 11137488 11168964 11713710 11799488 12409960 12494624 13147320 13274424 13921860 13961205 14023808 14056452 14749360 14849984 14891952 15618280 15776784 16593030 16706232 17529760 17570565 17699232 18562480 18614940 18741936 19720980 19855936 20882790 21035712 22124040 22274976 22337928 23427420 23598976 24819920 24989248 26294640 26548848 27843720 27922410 28112904 29498720 29699968 29783904 31236560 31553568 33186060 33412464 35059520 35141130 35398464 37124960 37229880 37483872 39441960 39711872 41765580 42071424 44248080 44549952 44675856 46854840 49639840 49978496 52589280 53097696 55687440 55844820 56225808 58997440 59567808 61025477 62473120 63107136 66372120 66824928 70119040 70282260 70796928 74249920 74459760 74967744 76802261 78883920 83531160 88496160 89099904 89351712 93709680 99279680 102692419 105178560 106195392 111374880 111689640 112451616 117994880 119135616 122050954 124946240 126214272 129241267 132744240 133649856 140564520 148499840 148919520 149935488 153604522 157767840 167062320 176992320 178703424 183076431 187419360 198559360 205384838 210357120 212390784 217484549 222749760 223379280 224903232 230406783 244101908 249892480 258482534 265488480 267299712 281129040 297839040 305127385 307209044 308077257 315535680 334124640 353984640 357406848 366152862 374838720 384011305 387723801 410769676 434969098 445499520 446758560 449806464 460813566 488203816 513462095 516965068 530976960 549229293 562258080 595678080 610254770 614418088 616154514 631071360 646206335 652453647 668249280 691220349 732305724 749677440 768022610 775447602 821539352 869938196 893517120 915382155 921627132 924231771 976407632 1026924190 1033930136 1061953920 1087422745 1098458586 1124516160 1152033915 1163171403 1220509540 1228836176 1232309028 1292412670 1304907294 1336498560 1382440698 1464611448 1536045220 1540386285 1550895204 1643078704 1739876392 1787034240 1830764310 1843254264 1848463542 1938619005 1952815264 1957360941 2053848380 2067860272 2174845490 2196917172 2249032320 2304067830 2326342806 2441019080 2457672352 2464618056 2584825340 2609814588 2746146465 2764881396 2929222896 3072090440 3080772570 3101790408 3262268235 3286157408 3456101745 3479752784 3661528620 3686508528 3696927084 3877238010 3905630528 3914721882 4107696760 4135720544 4349690980 4393834344 4608135660 4621158855 4652685612 4882038160 4915344704 4929236112 5169650680 5219629176 5492292930 5529762792 5815857015 5858445792 6144180880 6161545140 6203580816 6524536470 6572314816 6912203490 6959505568 7323057240 7373017056 7393854168 7754476020 7811261056 7829443764 8215393520 8271441088 8699381960 8787668688 9216271320 9242317710 9305371224 9764076320 9786804705 9830689408 9858472224 10339301360 10439258352 10984585860 11059525584 11631714030 11716891584 12288361760 12323090280 12407161632 13049072940 13144629632 13824406980 13919011136 14646114480 14746034112 14787708336 15508952040 15658887528 16430787040 16542882176 17398763920 17575337376 18432542640 18484635420 18610742448 19528152640 19573609410 19716944448 20678602720 20878516704 21969171720 22119051168 23263428060 23433783168 24576723520 24646180560 24814323264 26098145880 27648813960 27838022272 29292228960 29492068224 29575416672 31017904080 31317775056 32861574080 33991190689 34797527840 35150674752 36865085280 36969270840 37221484896 39056305280 39147218820 39433888896 41357205440 41757033408 42778859377 43938343440 44238102336 46526856120 49153447040 49292361120 49628646528 52196291760 55297627920 58584457920 59150833344 62035808160 62635550112 65723148160 67982381378 69595055680 70301349504 71987385719 73730170560 73938541680 74442969792 78294437640 82714410880 83514066816 85557718754 87876686880 88476204672 93053712240 98584722240 101973572067 104392583520 110595255840 117168915840 118301666688 124071616320 125271100224 128336578131 135964762756 139190111360 143974771438 147460341120 147877083360 148885939584 156588875280 169955953445 171115437508 175753373760 186107424480 197169444480 203947144134 208785167040 213894296885 215962157157 221190511680 248143232640 250542200448 256673156262 271929525512 287949542876 295754166720 305920716201 313177750560 339911906890 342230875016 351506747520 359936928595 372214848960 385009734393 407894288268 417570334080 427788593770 431924314314 442381023360 509867860335 513346312524 543859051024 575899085752 591508333440 611841432402 626355501120 641682890655 647886471471 679823813780 684461750032 719873857190 744429697920 770019468786 815788576536 855577187540 863848628628 1019735720670 1026692625048 1079810785785 1087718102048 1151798171504 1223682864804 1252711002240 1283365781310 1295772942942 1359647627560 1368923500064 1439747714380 1529603581005 1540038937572 1631577153072 1711154375080 1727697257256 1925048671965 2039471441340 2053385250096 2159621571570 2175436204096 2303596343008 2447365729608 2566731562620 2591545885884 2719295255120 2737847000128 2879495428760 3059207162010 3080077875144 3239432357355 3263154306144 3422308750160 3455394514512 3850097343930 4078942882680 4106770500192 4319243143140 4350872408192 4607192686016 4894731459216 5133463125240 5183091771768 5438590510240 5475694000256 5758990857520 6118414324020 6160155750288 6478864714710 6526308612288 6844617500320 6910789029024 7700194687860 8157885765360 8213541000384 8638486286280 9214385372032 9789462918432 10266926250480 10366183543536 10877181020480 11517981715040 12236828648040 12320311500576 12957729429420 13052617224576 13689235000640 13821578058048 15400389375720 16315771530720 16427082000768 17276972572560 19578925836864 20533852500960 20732367087072 21754362040960 23035963430080 23827824672989 24473657296080 24640623001152 25915458858840 27378470001280 27643156116096 30800778751440 32631543061440 34553945145120 39157851673728 41067705001920 41464734174144 46071926860160 47655649345978 48947314592160 49281246002304 51830917717680 61601557502880 65263086122880 69107890290240 71483474018967 82135410003840 82929468348288 95311298691956 97894629184320 103661835435360 119139123364945 123203115005760 138215780580480 142966948037934 190622597383912 195789258368640 207323670870720 214450422056901 238278246729890 246406230011520 285933896075868 357417370094835 381245194767824 414647341741440 428900844113802 476556493459780 571867792151736 714834740189670 762490389535648 857801688227604 953112986919560 1072252110284505 1143735584303472 1429669480379340 1524980779071296 1715603376455208 1906225973839120 2144504220569010 2287471168606944 2859338960758680 3049961558142592 3431206752910416 3812451947678240 4289008441138020 4574942337213888 5718677921517360 6862413505820832 7624903895356480 8578016882276040 9149884674427776 11437355843034720 13724827011641664 15249807790712960 17156033764552080 22874711686069440 27449654023283328 34312067529104160 45749423372138880 68624135058208320 137248270116416640
- Sum of all divisors σ(n): 476905922895909780
- Sum of proper divisors (its aliquot sum) s(n): 339657652779493140
- 137248270116416640 is an abundant number, because the sum of its proper divisors (339657652779493140) is greater than itself. Its abundance is 202409382663076500
Bases of 137248270116416640
- Binary: 1111001111001101010010011000100100101001101101100100000002
- Hexadecimal: 0x1E79A9312536C80
- Base-36: 11JEG8V1ZQ80
Squares and roots of 137248270116416640
- 137248270116416640 squared (1372482701164166402) is 18837087649948864891978434068889600
- 137248270116416640 cubed (1372482701164166403) is 2585357693986797746480319975802250667753655762944000
-
The
square root of 137248270116416640 is 370470336.3515311733 -
The
cube root of 137248270116416640 is 515824.8886459341
Scales and comparisons
How big is 137248270116416640?- 137,248,270,116,416,640 seconds is equal to 4,364,070,452 years, 48 weeks, 1 day, 22 hours, 24 minutes.
-
To count from 1 to 137,248,270,116,416,640 would take you about thirteen billion, ninety-two million, two hundred eleven thousand, three hundred fifty-eight 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 137248270116416640 cubic inches would be around 42985.4 feet tall.
Recreational maths with 137248270116416640
- 137248270116416640 backwards is 046614611072842731
- The number of decimal digits it has is: 18
- The sum of 137248270116416640's digits is 63
- 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 137248270116416640 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 137248270116416640 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/137248270116416640/
Chicago style:
Numbermatics. 2024. "Number 137248270116416640 - Facts about the integer". https://numbermatics.com/n/137248270116416640/
The information we have on file for 137248270116416640 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 137248270116416640, math, Factors of 137248270116416640, curriculum, school, college, exams, university, Prime factorization of 137248270116416640, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven quadrillion, two hundred forty-eight trillion, two hundred seventy billion, one hundred sixteen million, four hundred sixteen thousand, six hundred forty.