137072769886935289152000
137,072,769,886,935,289,152,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137072769886935289152000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 800 divisors.
137072769886935289152000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred divisors.
Prime factorization of 137072769886935289152000:
29 × 34 × 53 × 31 × 852951823768763
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 852951823768763)See below for interesting mathematical facts about the number 137072769886935289152000 from the Numbermatics database.
Names of 137072769886935289152000
- Cardinal: 137072769886935289152000 can be written as One hundred thirty-seven sextillion, seventy-two quintillion, seven hundred sixty-nine quadrillion, eight hundred eighty-six trillion, nine hundred thirty-five billion, two hundred eighty-nine million, one hundred fifty-two thousand.
Scientific notation
- Scientific notation: 1.37072769886935289152 × 1023
Factors of 137072769886935289152000
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 852951823768804
Divisors of 137072769886935289152000
- Number of divisors d(n): 800
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 125 128 135 144 150 155 160 162 180 186 192 200 216 225 240 248 250 256 270 279 288 300 310 320 324 360 372 375 384 400 405 432 450 465 480 496 500 512 540 558 576 600 620 640 648 675 720 744 750 768 775 800 810 837 864 900 930 960 992 1000 1080 1116 1125 1152 1200 1240 1280 1296 1350 1395 1440 1488 1500 1536 1550 1600 1620 1674 1728 1800 1860 1920 1984 2000 2025 2160 2232 2250 2304 2325 2400 2480 2511 2560 2592 2700 2790 2880 2976 3000 3100 3200 3240 3348 3375 3456 3600 3720 3840 3875 3968 4000 4050 4185 4320 4464 4500 4608 4650 4800 4960 5022 5184 5400 5580 5760 5952 6000 6200 6400 6480 6696 6750 6912 6975 7200 7440 7680 7750 7936 8000 8100 8370 8640 8928 9000 9300 9600 9920 10044 10125 10368 10800 11160 11520 11625 11904 12000 12400 12555 12800 12960 13392 13500 13824 13950 14400 14880 15500 15872 16000 16200 16740 17280 17856 18000 18600 19200 19840 20088 20250 20736 20925 21600 22320 23040 23250 23808 24000 24800 25110 25920 26784 27000 27900 28800 29760 31000 32000 32400 33480 34560 34875 35712 36000 37200 38400 39680 40176 40500 41472 41850 43200 44640 46500 47616 48000 49600 50220 51840 53568 54000 55800 57600 59520 62000 62775 64000 64800 66960 69120 69750 71424 72000 74400 79360 80352 81000 83700 86400 89280 93000 96000 99200 100440 103680 104625 107136 108000 111600 115200 119040 124000 125550 129600 133920 139500 142848 144000 148800 160704 162000 167400 172800 178560 186000 192000 198400 200880 207360 209250 214272 216000 223200 238080 248000 251100 259200 267840 279000 288000 297600 313875 321408 324000 334800 345600 357120 372000 396800 401760 418500 428544 432000 446400 496000 502200 518400 535680 558000 576000 595200 627750 642816 648000 669600 714240 744000 803520 837000 864000 892800 992000 1004400 1036800 1071360 1116000 1190400 1255500 1285632 1296000 1339200 1488000 1607040 1674000 1728000 1785600 1984000 2008800 2142720 2232000 2511000 2592000 2678400 2976000 3214080 3348000 3571200 4017600 4464000 5022000 5184000 5356800 5952000 6428160 6696000 8035200 8928000 10044000 10713600 13392000 16070400 17856000 20088000 26784000 32140800 40176000 53568000 80352000 160704000 852951823768763 1705903647537526 2558855471306289 3411807295075052 4264759118843815 5117710942612578 6823614590150104 7676566413918867 8529518237687630 10235421885225156 12794277356531445 13647229180300208 15353132827837734 17059036475375260 20470843770450312 21323795594219075 23029699241756601 25588554713062890 26441506536831653 27294458360600416 30706265655675468 34118072950750520 38382832069594335 40941687540900624 42647591188438150 46059398483513202 51177109426125780 52883013073663306 54588916721200832 61412531311350936 63971386782657225 68236145901501040 69089097725269803 76765664139188670 79324519610494959 81883375081801248 85295182376876300 92118796967026404 102354218852251560 105766026147326612 106618977971095375 109177833442401664 115148496208783005 122825062622701872 127942773565314450 132207532684158265 136472291803002080 138178195450539606 153531328278377340 158649039220989918 163766750163602496 170590364753752600 184237593934052808 191914160347971675 204708437704503120 211532052294653224 213237955942190750 218355666884803328 230296992417566010 237973558831484877 245650125245403744 255885547130628900 264415065368316530 272944583606004160 276356390901079212 307062656556754680 317298078441979836 319856933913286125 327533500327204992 341180729507505200 345445488626349015 368475187868105616 383828320695943350 396622598052474795 409416875409006240 423064104589306448 426475911884381500 436711333769606656 460593984835132020 475947117662969754 491300250490807488 511771094261257800 528830130736633060 545889167212008320 552712781802158424 575742481043915025 614125313113509360 634596156883959672 639713867826572250 655067000654409984 661037663420791325 682361459015010400 690890977252698030 713920676494454631 736950375736211232 767656641391886700 793245196104949590 818833750818012480 846128209178612896 852951823768763000 921187969670264040 951894235325939508 959570801739858375 982600500981614976 1023542188522515600 1057660261473266120 1091778334424016640 1105425563604316848 1151484962087830050 1189867794157424385 1228250626227018720 1269192313767919344 1279427735653144500 1310134001308819968 1322075326841582650 1364722918030020800 1381781954505396060 1427841352988909262 1473900751472422464 1535313282783773400 1586490392209899180 1637667501636024960 1692256418357225792 1705903647537526000 1727227443131745075 1842375939340528080 1903788470651879016 1919141603479716750 1965201001963229952 1983112990262373975 2047084377045031200 2115320522946532240 2141762029483363893 2183556668848033280 2210851127208633696 2302969924175660100 2379735588314848770 2456501252454037440 2538384627535838688 2558855471306289000 2644150653683165300 2729445836060041600 2763563909010792120 2855682705977818524 2878712405219575125 2947801502944844928 3070626565567546800 3172980784419798360 3275335003272049920 3305188317103956625 3384512836714451584 3411807295075052000 3454454886263490150 3569603382472273155 3684751878681056160 3807576941303758032 3838283206959433500 3930402003926459904 3966225980524747950 4094168754090062400 4230641045893064480 4283524058966727786 4421702254417267392 4605939848351320200 4759471176629697540 4913002504908074880 5076769255071677376 5117710942612578000 5288301307366330600 5458891672120083200 5527127818021584240 5711365411955637048 5757424810439150250 5895603005889689856 5949338970787121925 6141253131135093600 6345961568839596720 6550670006544099840 6610376634207913250 6769025673428903168 6823614590150104000 6908909772526980300 7139206764944546310 7369503757362112320 7615153882607516064 7676566413918867000 7932451961049495900 8188337508180124800 8461282091786128960 8567048117933455572 8636137215658725375 8843404508834534784 9211879696702640400 9518942353259395080 9826005009816149760 9915564951311869875 10153538510143354752 10235421885225156000 10576602614732661200 10708810147416819465 10917783344240166400 11054255636043168480 11422730823911274096 11514849620878300500 11791206011779379712 11898677941574243850 12282506262270187200 12691923137679193440 13220753268415826500 13538051346857806336 13647229180300208000 13817819545053960600 14278413529889092620 14739007514724224640 15230307765215032128 15353132827837734000 15864903922098991800 16376675016360249600 16922564183572257920 17134096235866911144 17272274431317450750 17686809017669069568 17848016912361365775 18423759393405280800 19037884706518790160 19652010019632299520 19831129902623739750 20307077020286709504 20470843770450312000 21153205229465322400 21417620294833638930 22108511272086336960 22845461647822548192 23029699241756601000 23797355883148487700 24565012524540374400 25383846275358386880 26441506536831653000 27294458360600416000 27635639090107921200 28556827059778185240 29478015029448449280 29746694853935609625 30460615530430064256 30706265655675468000 31729807844197983600 32753350032720499200 33845128367144515840 34268192471733822288 34544548862634901500 35373618035338139136 35696033824722731550 36847518786810561600 38075769413037580320 39662259805247479500 40614154040573419008 40941687540900624000 42306410458930644800 42835240589667277860 44217022544172673920 45690923295645096384 46059398483513202000 47594711766296975400 49130025049080748800 50767692550716773760 52883013073663306000 53544050737084097325 54588916721200832000 55271278180215842400 57113654119556370480 58956030058896898560 59493389707871219250 60921231060860128512 61412531311350936000 63459615688395967200 67690256734289031680 68536384943467644576 69089097725269803000 71392067649445463100 73695037573621123200 76151538826075160640 79324519610494959000 81883375081801248000 84612820917861289600 85670481179334555720 88434045088345347840 89240084561806828875 91381846591290192768 92118796967026404000 95189423532593950800 98260050098161497600 101535385101433547520 105766026147326612000 107088101474168194650 110542556360431684800 114227308239112740960 118986779415742438500 121842462121720257024 122825062622701872000 126919231376791934400 137072769886935289152 138178195450539606000 142784135298890926200 147390075147242246400 152303077652150321280 158649039220989918000 163766750163602496000 169225641835722579200 171340962358669111440 176868090176690695680 178480169123613657750 182763693182580385536 184237593934052808000 190378847065187901600 203070770202867095040 211532052294653224000 214176202948336389300 221085112720863369600 228454616478225481920 237973558831484877000 245650125245403744000 253838462753583868800 267720253685420486625 274145539773870578304 276356390901079212000 285568270597781852400 294780150294484492800 304606155304300642560 317298078441979836000 338451283671445158400 342681924717338222880 356960338247227315500 365527386365160771072 368475187868105616000 380757694130375803200 423064104589306448000 428352405896672778600 442170225441726739200 456909232956450963840 475947117662969754000 491300250490807488000 507676925507167737600 535440507370840973250 548291079547741156608 552712781802158424000 571136541195563704800 609212310608601285120 634596156883959672000 685363849434676445760 713920676494454631000 736950375736211232000 761515388260751606400 846128209178612896000 856704811793345557200 884340450883453478400 913818465912901927680 951894235325939508000 1015353851014335475200 1070881014741681946500 1096582159095482313216 1105425563604316848000 1142273082391127409600 1269192313767919344000 1370727698869352891520 1427841352988909262000 1473900751472422464000 1523030776521503212800 1692256418357225792000 1713409623586691114400 1827636931825803855360 1903788470651879016000 2141762029483363893000 2210851127208633696000 2284546164782254819200 2538384627535838688000 2741455397738705783040 2855682705977818524000 3046061553043006425600 3426819247173382228800 3807576941303758032000 4283524058966727786000 4421702254417267392000 4569092329564509638400 5076769255071677376000 5482910795477411566080 5711365411955637048000 6853638494346764457600 7615153882607516064000 8567048117933455572000 9138184659129019276800 11422730823911274096000 13707276988693528915200 15230307765215032128000 17134096235866911144000 22845461647822548192000 27414553977387057830400 34268192471733822288000 45690923295645096384000 68536384943467644576000 137072769886935289152000
- Sum of all divisors σ(n): 527060030523032019746304
- Sum of proper divisors (its aliquot sum) s(n): 389987260636096730594304
- 137072769886935289152000 is an abundant number, because the sum of its proper divisors (389987260636096730594304) is greater than itself. Its abundance is 252914490749161441442304
Bases of 137072769886935289152000
- Binary: 111010000011010111010110100001001000110000001111001101101111111000010000000002
- Hexadecimal: 0x1D06BAD09181E6DFC200
- Base-36: MBK6N6ZPJM0BK00
Squares and roots of 137072769886935289152000
- 137072769886935289152000 squared (1370727698869352891520002) is 18788944244476713802414810919141848879104000000
- 137072769886935289152000 cubed (1370727698869352891520003) is 2575452630841613813253277354573738048054814146267993330679808000000000
-
The
square root of 137072769886935289152000 is 370233399205.0626557735 -
The
cube root of 137072769886935289152000 is 51560493.2018751637
Scales and comparisons
How big is 137072769886935289152000?- 137,072,769,886,935,289,152,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,072,769,886,935,289,152,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 137072769886935289152000 cubic inches would be around 4296707.8 feet tall.
Recreational maths with 137072769886935289152000
- 137072769886935289152000 backwards is 000251982539688967270731
- 137072769886935289152000 is a
Harshad number . - The number of decimal digits it has is: 24
- The sum of 137072769886935289152000's digits is 108
- 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 137072769886935289152000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 137072769886935289152000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/137072769886935289152000/
Chicago style:
Numbermatics. 2024. "Number 137072769886935289152000 - Facts about the integer". https://numbermatics.com/n/137072769886935289152000/
The information we have on file for 137072769886935289152000 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 137072769886935289152000, math, Factors of 137072769886935289152000, curriculum, school, college, exams, university, Prime factorization of 137072769886935289152000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven sextillion, seventy-two quintillion, seven hundred sixty-nine quadrillion, eight hundred eighty-six trillion, nine hundred thirty-five billion, two hundred eighty-nine million, one hundred fifty-two thousand.