137420225491168787200
137,420,225,491,168,787,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 137420225491168787200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2268 divisors.
137420225491168787200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 137420225491168787200:
28 × 52 × 11 × 296 × 1132 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 29 × 29 × 29 × 29 × 29 × 29 × 113 × 113 × 257)See below for interesting mathematical facts about the number 137420225491168787200 from the Numbermatics database.
Names of 137420225491168787200
- Cardinal: 137420225491168787200 can be written as One hundred thirty-seven quintillion, four hundred twenty quadrillion, two hundred twenty-five trillion, four hundred ninety-one billion, one hundred sixty-eight million, seven hundred eighty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.374202254911687872 × 1020
Factors of 137420225491168787200
Divisors of 137420225491168787200
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 64 80 88 100 110 113 116 128 145 160 176 200 220 226 232 256 257 275 290 319 320 352 400 440 452 464 514 550 565 580 638 640 704 725 800 841 880 904 928 1028 1100 1130 1160 1243 1276 1280 1285 1408 1450 1595 1600 1682 1760 1808 1856 2056 2200 2260 2320 2486 2552 2570 2816 2825 2827 2900 3190 3200 3277 3364 3520 3616 3712 4112 4205 4400 4520 4640 4972 5104 5140 5650 5654 5800 6215 6380 6400 6425 6554 6728 7040 7232 7424 7453 7975 8224 8410 8800 9040 9251 9280 9944 10208 10280 11300 11308 11600 12430 12760 12769 12850 13108 13456 14080 14135 14464 14906 15950 16385 16448 16820 17600 18080 18502 18560 19888 20416 20560 21025 22600 22616 23200 24389 24860 25520 25538 25700 26216 26912 28270 28928 29041 29812 31075 31900 32770 32896 33640 35200 36047 36160 37004 37120 37265 39776 40832 41120 42050 45200 45232 46255 46400 48778 49720 51040 51076 51400 52432 53824 56540 58082 59624 62150 63800 63845 65540 65792 67280 70400 70675 72094 72320 74008 74530 79552 81664 81925 81983 82240 84100 90400 90464 92510 92800 95033 97556 99440 102080 102152 102800 104864 107648 113080 116164 119248 121945 124300 127600 127690 131080 134560 140459 141350 144188 144640 145205 148016 149060 159104 163850 163966 164480 168200 180235 180800 180928 185020 185600 186325 190066 195112 198880 204160 204304 205600 209728 215296 216137 226160 231275 232328 238496 243890 248600 255200 255380 262160 268279 269120 280918 282700 288376 290410 296032 298120 318208 319225 319451 327700 327932 328960 336400 360470 361600 361856 370040 370301 372650 380132 390224 397760 408320 408608 409915 411200 419456 432274 452320 462550 464656 475165 476992 487780 497200 510400 510760 524320 536558 538240 561836 565400 576752 580820 592064 596240 609725 638450 638902 655400 655864 672800 702295 707281 720940 723200 723712 726025 740080 740602 745300 760264 780448 795520 817216 819830 822400 838912 842189 864548 901175 904640 925100 929312 950330 953984 975560 994400 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38122513798976 38858735210240 39134615935232 39737592791600 40792573131200 41875561798400 41905097852960 42039138211675 43017622574720 44019660980350 45188324546200 46095607638256 46388014578400 46420733397460 47319384832192 47653142248720 48573419012800 48918269919040 49862978809600 51062806737206 51222878231680 52381372316200 52418456473592 53772028218400 53810096910944 56345166054848 57619509547820 57800134969600 57841055419136 58025916746825 59149231040240 59566427810900 60762391886792 61147837398800 63580148466560 64028597789600 65523070591990 65728472067200 67048156564736 67262621138680 67310063426317 69097056260644 70431457568560 72024386934775 72301319273920 73936538800300 74220823325440 74273173435936 75952989858490 76245027597952 79475185583200 81585146262400 83548288844339 83810195705920 84078276423350 86035245149440 86371320325805 88039321960700 90376649092400 92191215276512 92776029156800 92841466794920 94638769664384 95306284497440 97146838025600 97836539838080 102125613474412 102445756463360 104762744632400 104836912947184 107544056436800 107620193821888 112690332109696 115239019095640 116051833493650 118298462080480 119132855621800 121524783773584 122295674797600 127160296933120 127657016843015 128057195579200 131046141183980 131456944134400 134525242277360 134620126852634 138194112521288 140862915137120 144048773869550 144602638547840 147873077600600 148546346871872 151905979716980 152490055195904 158950371166400 163170292524800 163807676479975 167096577688678 167620391411840 168156552846700 172742640651610 176078643921400 180753298184800 184382430553024 185552058313600 185682933589840 189277539328768 189882474646225 190016904716771 190612568994880 194293676051200 195673079676160 204251226948824 209525489264800 209673825894368 215088112873600 215240387643776 225380664219392 230478038191280 232103666987300 236596924160960 238265711243600 243049567547168 244591349595200 255314033686030 256114391158400 262092282367960 269050484554720 269240253705268 276388225042576 281725830274240 288097547739100 289205277095680 295746155201200 297092693743744 303811959433960 317900742332800 327615352959950 334193155377356 335240782823680 336313105693400 336550317131585 345485281303220 352157287842800 361506596369600 368764861106048 371104116627200 371365867179680 379764949292450 380033809433542 381225137989760 408502453897648 417741444221695 419050978529600 419347651788736 430176225747200 430480775287552 431856601629025 460956076382560 464207333974600 473193848321920 476531422487200 486099135094336 489182699190400 510628067372060 512228782316800 524184564735920 538100969109440 538480507410536 552776450085152 563451660548480 576195095478200 591492310402400 594185387487488 607623918867920 635801484665600 638285084215075 655230705919900 668386310754712 672626211386800 673100634263170 690970562606440 704314575685600 723013192739200 737529722212096 740410697689487 742731734359360 759529898584900 760067618867084 762450275979520 817004907795296 835482888443390 838101957059200 838695303577472 863713203258050 921912152765120 928414667949200 946387696643840 950084523583855 953062844974400 972198270188672 978365398380800 1021256134744120 1048369129471840 1076201938218880 1076961014821072 1105552900170304 1126903321096960 1152390190956400 1182984620804800 1215247837735840 1276570168430150 1310461411839800 1336772621509424 1345252422773600 1346201268526340 1381941125212880 1408629151371200 1446026385478400 1480821395378974 1485463468718720 1519059797169800 1520135237734168 1634009815590592 1670965776886780 1676203914118400 1677390607154944 1682751585657925 1727426406516100 1843824305530240 1856829335898400 1900169047167710 1906125689948800 1944396540377344 1951991839363193 2042512269488240 2088707221108475 2096738258943680 2152403876437760 2153922029642144 2211105800340608 2304780381912800 2365969241609600 2430495675471680 2553140336860300 2620922823679600 2673545243018848 2690504845547200 2692402537052680 2763882250425760 2817258302742400 2961642790757948 2970926937437440 3038119594339600 3040270475468336 3268019631181184 3341931553773560 3365503171315850 3454852813032200 3687648611060480 3702053488447435 3713658671796800 3800338094335420 3812251379897600 3903983678726386 4085024538976480 4177414442216950 4193476517887360 4307844059284288 4422211600681216 4609560763825600 4731938483219200 4750422617919275 4860991350943360 5106280673720600 5241845647359200 5347090486037696 5381009691094400 5384805074105360 5527764500851520 5634516605484800 5923285581515896 6076239188679200 6080540950936672 6536039262362368 6683863107547120 6731006342631700 6909705626064400 7404106976894870 7427317343593600 7600676188670840 7807967357452772 8170049077952960 8354828884433900 8386953035774720 8615688118568576 9219121527651200 9500845235838550 9721982701886720 9759959196815965 10212561347441200 10483691294718400 10694180972075392 10762019382188800 10769610148210720 11055529001703040 11846571163031792 12152478377358400 12161081901873344 13367726215094240 13462012685263400 13819411252128800 14808213953789740 14854634687187200 15201352377341680 15615934714905544 16340098155905920 16709657768867800 17231376237137152 18438243055302400 18510267442237175 19001690471677100 19519918393631930 20425122694882400 20967382589436800 21388361944150784 21471910232995123 21539220296421440 22111058003406080 23693142326063584 24304956754716800 24322163803746688 26735452430188480 26924025370526800 27638822504257600 29616427907579480 30402704754683360 31231869429811088 32680196311811840 33419315537735600 37020534884474350 38003380943354200 39039836787263860 40850245389764800 41934765178873600 42943820465990246 43078440592842880 47386284652127168 48609913509433600 48644327607493376 48799795984079825 53470904860376960 53848050741053600 55277645008515200 59232855815158960 60805409509366720 62463738859622176 66838631075471200 74041069768948700 76006761886708400 78079673574527720 81700490779529600 85887640931980492 86156881185685760 94772569304254336 97599591968159650 106941809720753920 107359551164975615 107696101482107200 110555290017030400 118465711630317920 121610819018733440 124927477719244352 133677262150942400 148082139537897400 152013523773416800 156159347149055440 163400981559059200 171775281863960984 189545138608508672 195199183936319300 214719102329951230 215392202964214400 236931423260635840 243221638037466880 249854955438488704 267354524301884800 296164279075794800 304027047546833600 312318694298110880 343550563727921968 390398367872638600 429438204659902460 430784405928428800 473862846521271680 499709910876977408 534709048603769600 536797755824878075 592328558151589600 608054095093667200 624637388596221760 687101127455843936 780796735745277200 858876409319804920 947725693042543360 1073595511649756150 1184657116303179200 1216108190187334400 1249274777192443520 1374202254911687872 1561593471490554400 1717752818639609840 2147191023299512300 2369314232606358400 2498549554384887040 2748404509823375744 3123186942981108800 3435505637279219680 4294382046599024600 4738628465212716800 5496809019646751488 6246373885962217600 6871011274558439360 8588764093198049200 12492747771924435200 13742022549116878720 17177528186396098400 27484045098233757440 34355056372792196800 68710112745584393600 137420225491168787200
- Sum of all divisors σ(n): 389249897337352455768
- Sum of proper divisors (its aliquot sum) s(n): 251829671846183668568
- 137420225491168787200 is an abundant number, because the sum of its proper divisors (251829671846183668568) is greater than itself. Its abundance is 114409446355014881368
Bases of 137420225491168787200
- Binary: 11101110011000101101011011100000000001010110011000111111011000000002
- Hexadecimal: 0x77316B7002B31FB00
- Base-36: T01YKDJ9NOBGG
Squares and roots of 137420225491168787200
- 137420225491168787200 squared (1374202254911687872002) is 18884318374043675741249017519518883840000
- 137420225491168787200 cubed (1374202254911687872003) is 2595087289208103833067189942220567857295306503190478848000000
-
The
square root of 137420225491168787200 is 11722637309.5463798539 -
The
cube root of 137420225491168787200 is 5160402.2067346231
Scales and comparisons
How big is 137420225491168787200?- 137,420,225,491,168,787,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,420,225,491,168,787,200 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 137420225491168787200 cubic inches would be around 430033.5 feet tall.
Recreational maths with 137420225491168787200
- 137420225491168787200 backwards is 002787861194522024731
- The number of decimal digits it has is: 21
- The sum of 137420225491168787200's digits is 79
- More coming soon!
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"Number 137420225491168787200 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 137420225491168787200 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/137420225491168787200/
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Numbermatics. 2024. "Number 137420225491168787200 - Facts about the integer". https://numbermatics.com/n/137420225491168787200/
The information we have on file for 137420225491168787200 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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