137920256874924480
137,920,256,874,924,480 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137920256874924480 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1344 divisors.
137920256874924480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 137920256874924480:
26 × 35 × 5 × 11 × 19 × 83 × 102246259
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 19 × 83 × 102246259)See below for interesting mathematical facts about the number 137920256874924480 from the Numbermatics database.
Names of 137920256874924480
- Cardinal: 137920256874924480 can be written as One hundred thirty-seven quadrillion, nine hundred twenty trillion, two hundred fifty-six billion, eight hundred seventy-four million, nine hundred twenty-four thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3792025687492448 × 1017
Factors of 137920256874924480
Divisors of 137920256874924480
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 19 20 22 24 27 30 32 33 36 38 40 44 45 48 54 55 57 60 64 66 72 76 80 81 83 88 90 95 96 99 108 110 114 120 132 135 144 152 160 162 165 166 171 176 180 190 192 198 209 216 220 228 240 243 249 264 270 285 288 297 304 320 324 330 332 342 352 360 380 396 405 415 418 432 440 456 480 486 495 498 513 528 540 570 576 594 608 627 648 660 664 684 704 720 747 760 792 810 830 836 855 864 880 891 912 913 960 972 990 996 1026 1045 1056 1080 1140 1188 1215 1216 1245 1254 1296 1320 1328 1368 1440 1485 1494 1520 1539 1577 1584 1620 1660 1672 1710 1728 1760 1782 1824 1826 1881 1944 1980 1992 2052 2090 2112 2160 2241 2280 2376 2430 2490 2508 2565 2592 2640 2656 2673 2736 2739 2880 2970 2988 3040 3078 3135 3154 3168 3240 3320 3344 3420 3520 3564 3648 3652 3735 3762 3888 3960 3984 4104 4180 4320 4455 4482 4560 4565 4617 4731 4752 4860 4980 5016 5130 5184 5280 5312 5346 5472 5478 5643 5940 5976 6080 6156 6270 6308 6336 6480 6640 6688 6723 6840 7128 7304 7470 7524 7695 7776 7885 7920 7968 8208 8217 8360 8640 8910 8964 9120 9130 9234 9405 9462 9504 9720 9960 10032 10260 10560 10692 10944 10956 11205 11286 11880 11952 12312 12540 12616 12960 13280 13365 13376 13446 13680 13695 14193 14256 14608 14940 15048 15390 15552 15770 15840 15936 16416 16434 16720 16929 17347 17820 17928 18240 18260 18468 18810 18924 19008 19440 19920 20064 20169 20520 21384 21912 22410 22572 23085 23655 23760 23904 24624 24651 25080 25232 25920 26560 26730 26892 27360 27390 28215 28386 28512 29216 29880 30096 30780 31540 31680 32832 32868 33440 33615 33858 34694 35640 35856 36520 36936 37620 37848 38880 39840 40128 40338 41040 41085 42579 42768 43824 44820 45144 46170 47310 47520 47808 49248 49302 50160 50464 50787 52041 53460 53784 54720 54780 56430 56772 57024 58432 59760 60192 61560 63080 65736 66880 67230 67716 69388 70965 71280 71712 73040 73872 73953 75240 75696 77760 79680 80676 82080 82170 84645 85158 85536 86735 87648 89640 90288 92340 94620 95040 98496 98604 100320 100845 100928 101574 104082 106920 107568 109560 112860 113544 119520 120384 123120 123255 126160 127737 131472 134460 135432 138776 141930 142560 143424 146080 147744 147906 150480 151392 156123 161352 164160 164340 169290 170316 171072 173470 175296 179280 180576 184680 189240 197208 200640 201690 203148 208164 212895 213840 215136 219120 221859 225720 227088 239040 246240 246510 252320 253935 255474 260205 262944 268920 270864 277552 283860 285120 292160 295488 295812 300960 302784 312246 322704 328680 338580 340632 346940 358560 361152 369360 369765 378480 383211 394416 403380 406296 416328 425790 427680 430272 438240 443718 451440 454176 468369 492480 493020 504640 507870 510948 520410 525888 537840 541728 555104 567720 591624 601920 624492 638685 645408 657360 677160 681264 693880 717120 738720 739530 756960 766422 780615 788832 806760 812592 832656 851580 855360 876480 887436 902880 908352 936738 986040 1015740 1021896 1040820 1075680 1083456 1109295 1110208 1135440 1183248 1248984 1277370 1290816 1314720 1354320 1362528 1387760 1405107 1477440 1479060 1513920 1532844 1561230 1577664 1613520 1625184 1665312 1703160 1774872 1805760 1873476 1916055 1972080 2031480 2043792 2081640 2151360 2218590 2270880 2341845 2366496 2497968 2554740 2629440 2708640 2725056 2775520 2810214 2958120 3065688 3122460 3227040 3250368 3330624 3406320 3549744 3746952 3832110 3944160 4062960 4087584 4163280 4215321 4437180 4541760 4683690 4732992 4995936 5109480 5417280 5551040 5620428 5916240 6131376 6244920 6454080 6812640 7025535 7099488 7493904 7664220 7888320 8125920 8175168 8326560 8430642 8874360 9367380 9991872 10218960 11240856 11832480 12262752 12489840 13625280 14051070 14198976 14987808 15328440 16251840 16653120 16861284 17748720 18734760 20437920 21076605 22481712 23664960 24525504 24979680 28102140 29975616 30656880 33722568 35497440 37469520 40875840 42153210 44963424 49959360 56204280 61313760 67445136 70994880 74939040 84306420 89926848 102246259 112408560 122627520 134890272 149878080 168612840 204492518 224817120 269780544 306738777 337225680 408985036 449634240 511231295 613477554 674451360 817970072 920216331 1022462590 1124708849 1226955108 1348902720 1533693885 1635940144 1840432662 1942678921 2044925180 2249417698 2453910216 2760648993 3067387770 3271880288 3374126547 3680865324 3885357842 4089850360 4498835396 4601081655 4907820432 5521297986 5623544245 5828036763 6134775540 6543760576 6748253094 7361730648 7770715684 8179700720 8281946979 8486439497 8997670792 9202163310 9713394605 9815640864 10122379641 11042595972 11247088490 11656073526 12269551080 13496506188 13803244965 14723461296 15541431368 16359401440 16563893958 16870632735 16972878994 17484110289 17995341584 18404326620 19426789210 19631281728 20244759282 21369468131 22085191944 22494176980 23312147052 24539102160 24845840937 25459318491 26993012376 27606489930 29140183815 29446922592 30367138923 31082862736 32718802880 33127787916 33741265470 33945757988 34968220578 35990683168 36808653240 38853578420 40489518564 41409734895 42432197485 42738936262 44170383888 44988353960 46624294104 49078204320 49691681874 50611898205 50918636982 52452330867 53986024752 55212979860 58280367630 58893845184 60734277846 62165725472 64108404393 66255575832 67482530940 67891515976 69936441156 71981366336 73617306480 76377955473 77707156840 80979037128 82819469790 84864394970 85477872524 87420551445 88340767776 89976707920 91101416769 93248588208 93350834467 98156408640 99383363748 101223796410 101837273964 104904661734 106847340655 107972049504 110425959720 116560735260 121468555692 124229204685 124331450944 127296592455 128216808786 132511151664 134965061880 135783031952 139872882312 147234612960 151835694615 152755910946 155414313680 157356992601 161242350443 161958074256 165638939580 169728789940 170955745048 174841102890 176681535552 179953415840 182202833538 186497176416 186701668934 192325213179 198766727496 202447592820 203674547928 209809323468 213694681310 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7468066757360 7553135644848 7561417591827 7693008527160 7739632821264 7950669099840 8146981917120 8248819191084 8392372938720 8401575102030 8654634593055 8707086923922 8745736009824 8868329274365 8961680108832 9165354656760 9231610232592 9441419556060 9674541026580 9717484455360 10070847526464 10081890122436 10257344702880 10311023988855 10319510428352 10385561511666 10641995129238 10932170012280 10998425588112 11202100136040 11539512790740 11609449231896 12220472875680 12308813643456 12588559408080 12602362653045 12899388035440 13060630385883 13442520163248 13748031985140 13847415348888 14189326838984 14511811539870 14576226683040 14664567450816 14936133514720 15106271289696 15122835183654 15386017054320 15479265642528 15962992693857 16497638382168 16784745877440 16803150204060 17309269186110 17414173847844 17491472019648 17736658548730 17923360217664 18330709313520 18463220465184 18882839112120 19349082053160 20163780244872 20514689405760 20622047977710 20771123023332 21283990258476 21767717309805 21864340024560 21996851176224 22404200272080 22684252775481 23079025581480 23218898463792 24440945751360 25177118816160 25204725306090 25798776070880 25963903779165 26121260771766 26604987823095 26885040326496 27496063970280 27694830697776 28378653677968 29023623079740 29152453366080 29872267029440 30212542579392 30245670367308 30772034108640 30958531285056 31925985387714 32995276764336 33606300408120 34618538372220 34828347695688 35473317097460 36661418627040 36926440930368 37765678224240 37807087959135 38698164106320 39181891157649 40327560489744 41244095955420 41542246046664 42567980516952 43535434619610 43728680049120 43993702352448 44808400544160 45368505550962 46158051162960 46437796927584 47888978081571 50354237632320 50409450612180 51597552141760 51927807558330 52242521543532 53209975646190 53770080652992 54992127940560 55389661395552 56757307355936 58047246159480 60491340734616 61544068217280 63851970775428 65303151929415 65990553528672 67212600816240 69237076744440 69656695391376 70946634194920 73322837254080 75531356448480 75614175918270 77396328212640 78363782315298 79814963469285 80655120979488 82488191910840 83084492093328 85135961033904 87070869239220 87457360098240 89616801088320 90737011101924 92316102325920 92875593855168 95777956163142 100818901224360 103855615116660 104485043087064 106419951292380 109984255881120 110779322791104 113421263877405 113514614711872 116094492318960 120982681469232 127703941550856 130606303858830 131981107057344 134425201632480 138474153488880 139313390782752 141893268389840 143666934244713 151062712896960 151228351836540 154792656425280 156727564630596 159629926938570 161310241958976 164976383821680 166168984186656 170271922067808 174141738478440 181474022203848 184632204651840 191555912326284 195909455788245 201637802448720 207711230233320 208970086174128 212839902584760 219968511762240 226842527754810 232188984637920 239444890407855 241965362938464 255407883101712 261212607717660 268850403264960 276948306977760 278626781565504 283786536779680 287333868489426 302456703673080 313455129261192 319259853877140 329952767643360 332337968373312 340543844135616 348283476956880 362948044407696 383111824652568 391818911576490 403275604897440 415422460466640 417940172348256 425679805169520 431000802734139 453685055509620 464377969275840 478889780815710 483930725876928 510815766203424 522425215435320 553896613955520 567573073559360 574667736978852 604913407346160 626910258522384 638519707754280 659905535286720 696566953913760 718334671223565 725896088815392 766223649305136 783637823152980 806551209794880 830844920933280 835880344696512 851359610339040 862001605468278 907370111019240 957779561631420 1021631532406848 1044850430870640 1149335473957704 1209826814692320 1253820517044768 1277039415508560 1393133907827520 1436669342447130 1451792177630784 1532447298610272 1567275646305960 1661689841866560 1702719220678080 1724003210936556 1814740222038480 1915559123262840 2089700861741280 2155004013670695 2298670947915408 2419653629384640 2507641034089536 2554078831017120 2873338684894260 3064894597220544 3134551292611920 3448006421873112 3629480444076960 3831118246525680 4179401723482560 4310008027341390 4597341895830816 5108157662034240 5746677369788520 6269102585223840 6896012843746224 7258960888153920 7662236493051360 8620016054682780 9194683791661632 11493354739577040 12538205170447680 13792025687492448 15324472986102720 17240032109365560 22986709479154080 27584051374984896 34480064218731120 45973418958308160 68960128437462240 137920256874924480
- Sum of all divisors σ(n): 571734387376588800
- Sum of proper divisors (its aliquot sum) s(n): 433814130501664320
- 137920256874924480 is an abundant number, because the sum of its proper divisors (433814130501664320) is greater than itself. Its abundance is 295893873626739840
Bases of 137920256874924480
- Binary: 1111010011111110110111110001011100101110001001001110000002
- Hexadecimal: 0x1E9FDBE2E5C49C0
- Base-36: 11Q0NFBFTO00
Squares and roots of 137920256874924480
- 137920256874924480 squared (1379202568749244802) is 19021997256445153290026605703270400
- 137920256874924480 cubed (1379202568749244803) is 2623518747883024249876414096202930786321289019392000
-
The
square root of 137920256874924480 is 371376166.2720488583 -
The
cube root of 137920256874924480 is 516665.3687386963
Scales and comparisons
How big is 137920256874924480?- 137,920,256,874,924,480 seconds is equal to 4,385,437,553 years, 13 weeks, 2 days, 16 hours, 48 minutes.
-
To count from 1 to 137,920,256,874,924,480 would take you about thirteen billion, one hundred fifty-six million, three hundred twelve thousand, six hundred fifty-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 137920256874924480 cubic inches would be around 43055.4 feet tall.
Recreational maths with 137920256874924480
- 137920256874924480 backwards is 084429478652029731
- 137920256874924480 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137920256874924480's digits is 81
- More coming soon!
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"Number 137920256874924480 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 137920256874924480 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/137920256874924480/
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The information we have on file for 137920256874924480 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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