137029601912602800000
137,029,601,912,602,800,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137029601912602800000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
137029601912602800000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137029601912602800000:
27 × 3 × 55 × 17 × 257 × 26136721201
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 17 × 257 × 26136721201)See below for interesting mathematical facts about the number 137029601912602800000 from the Numbermatics database.
Names of 137029601912602800000
- Cardinal: 137029601912602800000 can be written as One hundred thirty-seven quintillion, twenty-nine quadrillion, six hundred one trillion, nine hundred twelve billion, six hundred two million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.370296019126028 × 1020
Factors of 137029601912602800000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 26136721485
Divisors of 137029601912602800000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 48 50 51 60 64 68 75 80 85 96 100 102 120 125 128 136 150 160 170 192 200 204 240 250 255 257 272 300 320 340 375 384 400 408 425 480 500 510 514 544 600 625 640 680 750 771 800 816 850 960 1000 1020 1028 1088 1200 1250 1275 1285 1360 1500 1542 1600 1632 1700 1875 1920 2000 2040 2056 2125 2176 2400 2500 2550 2570 2720 3000 3084 3125 3200 3264 3400 3750 3855 4000 4080 4112 4250 4369 4800 5000 5100 5140 5440 6000 6168 6250 6375 6425 6528 6800 7500 7710 8000 8160 8224 8500 8738 9375 9600 10000 10200 10280 10625 10880 12000 12336 12500 12750 12850 13107 13600 15000 15420 16000 16320 16448 17000 17476 18750 19275 20000 20400 20560 21250 21845 24000 24672 25000 25500 25700 26214 27200 30000 30840 31875 32125 32640 32896 34000 34952 37500 38550 40000 40800 41120 42500 43690 48000 49344 50000 51000 51400 52428 53125 54400 60000 61680 63750 64250 65535 68000 69904 75000 77100 80000 81600 82240 85000 87380 96375 98688 100000 102000 102800 104856 106250 109225 120000 123360 127500 128500 131070 136000 139808 150000 154200 159375 160625 163200 164480 170000 174760 192750 200000 204000 205600 209712 212500 218450 240000 246720 255000 257000 262140 272000 279616 300000 308400 318750 321250 327675 340000 349520 385500 400000 408000 411200 419424 425000 436900 481875 493440 510000 514000 524280 546125 559232 600000 616800 637500 642500 655350 680000 699040 771000 803125 816000 822400 838848 850000 873800 963750 1020000 1028000 1048560 1092250 1200000 1233600 1275000 1285000 1310700 1360000 1398080 1542000 1606250 1638375 1677696 1700000 1747600 1927500 2040000 2056000 2097120 2184500 2409375 2467200 2550000 2570000 2621400 2730625 2796160 3084000 3212500 3276750 3400000 3495200 3855000 4080000 4112000 4194240 4369000 4818750 5100000 5140000 5242800 5461250 6168000 6425000 6553500 6800000 6990400 7710000 8191875 8388480 8738000 9637500 10200000 10280000 10485600 10922500 12336000 12850000 13107000 13653125 13980800 15420000 16383750 17476000 19275000 20400000 20560000 20971200 21845000 25700000 26214000 27306250 30840000 32767500 34952000 38550000 40959375 41942400 43690000 51400000 52428000 54612500 61680000 65535000 69904000 77100000 81918750 87380000 102800000 104856000 109225000 131070000 154200000 163837500 174760000 209712000 218450000 262140000 308400000 327675000 349520000 436900000 524280000 655350000 873800000 1048560000 1310700000 1747600000 2621400000 5242800000 26136721201 52273442402 78410163603 104546884804 130683606005 156820327206 209093769608 261367212010 313640654412 392050818015 418187539216 444324260417 522734424020 627281308824 653418030025 784101636030 836375078432 888648520834 1045468848040 1254562617648 1306836060050 1332972781251 1568203272060 1672750156864 1777297041668 1960254090075 2090937696080 2221621302085 2509125235296 2613672120100 2665945562502 3136406544120 3267090150125 3345500313728 3554594083336 3920508180150 4181875392160 4443242604170 5018250470592 5227344240200 5331891125004 6272813088240 6534180300250 6664863906255 6717137348657 7109188166672 7841016360300 8363750784320 8886485208340 9801270450375 10036500941184 10454688480400 10663782250008 11108106510425 12545626176480 13068360600500 13329727812510 13434274697314 14218376333344 15682032720600 16335450750625 16727501568640 17772970416680 19602540900750 20151412045971 20909376960800 21327564500016 22216213020850 25091252352960 26136721201000 26659455625020 26868549394628 28436752666688 31364065441200 32670901501250 33324319531275 33585686743285 35545940833360 39205081801500 40302824091942 41818753921600 42655129000032 44432426041700 49006352251875 50182504705920 52273442402000 53318911250040 53737098789256 55540532552125 56873505333376 62728130882400 65341803002500 66648639062550 67171373486570 71091881666720 78410163603000 80605648183884 81677253753125 83637507843200 85310258000064 88864852083400 98012704503750 100757060229855 104546884804000 106637822500080 107474197578512 111081065104250 114191334927169 125456261764800 130683606005000 133297278125100 134342746973140 142183763333440 156820327206000 161211296367768 163354507506250 166621597656375 167928433716425 170620516000128 177729704166800 196025409007500 201514120459710 209093769608000 213275645000160 214948395157024 222162130208500 228382669854338 245031761259375 250912523529600 261367212010000 266594556250200 268685493946280 277702662760625 284367526666880 313640654412000 322422592735536 326709015012500 333243195312750 335856867432850 342574004781507 355459408333600 392050818015000 403028240919420 418187539216000 426551290000320 429896790314048 444324260417000 456765339708676 490063522518750 503785301149275 522734424020000 533189112500400 537370987892560 555405325521250 570956674635845 627281308824000 644845185471072 653418030025000 666486390625500 671713734865700 685148009563014 710918816667200 784101636030000 806056481838840 833107988281875 839642168582125 853102580000640 859793580628096 888648520834000 913530679417352 980127045037500 1007570602298550 1045468848040000 1066378225000800 1074741975785120 1110810651042500 1141913349271690 1254562617648000 1289690370942144 1306836060050000 1332972781251000 1343427469731400 1370296019126028 1388513313803125 1421837633334400 1568203272060000 1612112963677680 1666215976563750 1679284337164250 1712870023907535 1777297041668000 1827061358834704 1960254090075000 2015141204597100 2090937696080000 2132756450001600 2149483951570240 2221621302085000 2283826698543380 2518926505746375 2579380741884288 2613672120100000 2665945562502000 2686854939462800 2740592038252056 2777026627606250 2854783373179225 3136406544120000 3224225927355360 3332431953127500 3358568674328500 3425740047815070 3554594083336000 3654122717669408 3920508180150000 4030282409194200 4165539941409375 4198210842910625 4265512900003200 4298967903140480 4443242604170000 4567653397086760 5037853011492750 5227344240200000 5331891125004000 5373709878925600 5481184076504112 5554053255212500 5709566746358450 6272813088240000 6448451854710720 6664863906255000 6717137348657000 6851480095630140 7109188166672000 7308245435338816 7841016360300000 8060564818388400 8331079882818750 8396421685821250 8564350119537675 8886485208340000 9135306794173520 10075706022985500 10454688480400000 10663782250008000 10747419757851200 10962368153008224 11108106510425000 11419133492716900 12594632528731875 12896903709421440 13329727812510000 13434274697314000 13702960191260280 14273916865896125 14616490870677632 15682032720600000 16121129636776800 16662159765637500 16792843371642500 17128700239075350 17772970416680000 18270613588347040 20151412045971000 20991054214553125 21327564500016000 21494839515702400 21924736306016448 22216213020850000 22838266985433800 25189265057463750 26659455625020000 26868549394628000 27405920382520560 28547833731792250 31364065441200000 32242259273553600 33324319531275000 33585686743285000 34257400478150700 35545940833360000 36541227176694080 40302824091942000 41982108429106250 42821750597688375 43849472612032896 44432426041700000 45676533970867600 50378530114927500 53318911250040000 53737098789256000 54811840765041120 57095667463584500 62973162643659375 64484518547107200 66648639062550000 67171373486570000 68514800956301400 71369584329480625 73082454353388160 80605648183884000 83964216858212500 85643501195376750 88864852083400000 91353067941735200 100757060229855000 106637822500080000 107474197578512000 109623681530082240 114191334927169000 125946325287318750 133297278125100000 134342746973140000 137029601912602800 142739168658961250 161211296367768000 167928433716425000 171287002390753500 177729704166800000 182706135883470400 201514120459710000 214108752988441875 219247363060164480 228382669854338000 251892650574637500 266594556250200000 268685493946280000 274059203825205600 285478337317922500 322422592735536000 335856867432850000 342574004781507000 356847921647403125 365412271766940800 403028240919420000 428217505976883750 456765339708676000 503785301149275000 533189112500400000 537370987892560000 548118407650411200 570956674635845000 671713734865700000 685148009563014000 713695843294806250 806056481838840000 856435011953767500 913530679417352000 1007570602298550000 1070543764942209375 1096236815300822400 1141913349271690000 1343427469731400000 1370296019126028000 1427391686589612500 1612112963677680000 1712870023907535000 1827061358834704000 2015141204597100000 2141087529884418750 2283826698543380000 2686854939462800000 2740592038252056000 2854783373179225000 3425740047815070000 4030282409194200000 4282175059768837500 4567653397086760000 5481184076504112000 5709566746358450000 6851480095630140000 8060564818388400000 8564350119537675000 9135306794173520000 11419133492716900000 13702960191260280000 17128700239075350000 22838266985433800000 27405920382520560000 34257400478150700000 45676533970867600000 68514800956301400000 137029601912602800000
- Sum of all divisors σ(n): 483588235588150042560
- Sum of proper divisors (its aliquot sum) s(n): 346558633675547242560
- 137029601912602800000 is an abundant number, because the sum of its proper divisors (346558633675547242560) is greater than itself. Its abundance is 209529031762944442560
Bases of 137029601912602800000
- Binary: 11101101101101010101111000011101100111100011110000010101111100000002
- Hexadecimal: 0x76DAAF0ECF1E0AF80
- Base-36: SX34BVGLZEPHC
Squares and roots of 137029601912602800000
- 137029601912602800000 squared (1370296019126028000002) is 18777111800326396943809470567840000000000
- 137029601912602800000 cubed (1370296019126028000003) is 2573020155067162647868741936764324138568373952000000000000000
-
The
square root of 137029601912602800000 is 11705964373.4552173801 -
The
cube root of 137029601912602800000 is 5155508.0029147027
Scales and comparisons
How big is 137029601912602800000?- 137,029,601,912,602,800,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,029,601,912,602,800,000 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 137029601912602800000 cubic inches would be around 429625.7 feet tall.
Recreational maths with 137029601912602800000
- 137029601912602800000 backwards is 000008206219106920731
- The number of decimal digits it has is: 21
- The sum of 137029601912602800000's digits is 57
- More coming soon!
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The information we have on file for 137029601912602800000 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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