137068360528000

Names of 137068360528000

• Cardinal: 137068360528000 can be written as One hundred thirty-seven trillion, sixty-eight billion, three hundred sixty million, five hundred twenty-eight thousand.

Scientific notation

• Scientific notation: 1.37068360528 × 10¹⁴

Factors of 137068360528000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 41

Divisors of 137068360528000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 121 125 128 160 176 184 200 220 230 242 250 253 275 320 352 368 400 440 460 484 500 506 529 550 575 605 640 704 736 800 880 920 968 1000 1012 1058 1100 1150 1210 1265 1331 1375 1408 1472 1600 1760 1840 1936 2000 2024 2116 2200 2300 2420 2530 2645 2662 2750 2783 2875 2944 3025 3200 3520 3680 3872 4000 4048 4232 4400 4600 4840 5060 5290 5324 5500 5566 5750 5819 6050 6325 6655 7040 7360 7744 8000 8096 8464 8800 9200 9680 10120 10580 10648 11000 11132 11500 11638 12100 12167 12650 13225 13310 13915 14720 15125 15488 16000 16192 16928 17600 18400 19360 20240 21160 21296 22000 22264 23000 23276 24200 24334 25300 26450 26620 27830 29095 30250 30613 31625 32384 33275 33856 35200 36800 38720 40480 42320 42592 44000 44528 46000 46552 48400 48668 50600 52900 53240 55660 58190 60500 60835 61226 63250 64009 66125 66550 67712 69575 73600 77440 80960 84640 85184 88000 89056 92000 93104 96800 97336 101200 105800 106480 111320 116380 121000 121670 122452 126500 128018 132250 133100 133837 139150 145475 153065 161920 166375 169280 170368 176000 178112 184000 186208 193600 194672 202400 211600 212960 222640 232760 242000 243340 244904 253000 256036 264500 266200 267674 278300 279841 290950 304175 306130 320045 332750 338560 347875 356224 368000 372416 387200 389344 404800 423200 425920 445280 465520 484000 486680 489808 506000 512072 529000 532400 535348 556600 559682 581900 608350 612260 640090 665500 669185 695750 704099 727375 744832 765325 778688 809600 846400 851840 890560 931040 968000 973360 979616 1012000 1024144 1058000 1064800 1070696 1113200 1119364 1163800 1216700 1224520 1280180 1331000 1338370 1391500 1399205 1408198 1454750 1472207 1520875 1530650 1557376 1600225 1692800 1781120 1862080 1936000 1946720 1959232 2024000 2048288 2116000 2129600 2141392 2226400 2238728 2327600 2433400 2449040 2560360 2662000 2676740 2783000 2798410 2816396 2909500 2944414 3041750 3061300 3078251 3200450 3345925 3520495 3724160 3826625 3893440 3918464 4048000 4096576 4232000 4259200 4282784 4452800 4477456 4655200 4866800 4898080 5120720 5324000 5353480 5566000 5596820 5632792 5819000 5888828 6083500 6122600 6156502 6400900 6436343 6691850 6996025 7040990 7361035 7653250 7786880 8001125 8193152 8464000 8565568 8905600 8954912 9310400 9733600 9796160 10241440 10648000 10706960 11132000 11193640 11265584 11638000 11777656 12167000 12245200 12313004 12801800 12872686 13383700 13992050 14081980 14722070 15306500 15391255 16002250 16194277 16729625 17131136 17602475 17909824 18620800 19467200 19592320 20482880 21296000 21413920 22264000 22387280 22531168 23276000 23555312 24334000 24490400 24626008 25603600 25745372 26767400 27984100 28163960 29444140 30613000 30782510 32004500 32181715 32388554 33459250 33860761 34980125 35204950 35819648 36805175 38934400 40965760 42827840 44528000 44774560 45062336 46552000 47110624 48668000 48980800 49252016 51207200 51490744 53534800 55968200 56327920 58888280 61226000 61565020 64009000 64363430 64777108 66918500 67721522 69960250 70409900 70799773 73610350 76956275 80971385 85655680 88012375 89549120 90124672 93104000 94221248 97336000 97961600 98504032 102414400 102981488 107069600 111936400 112655840 117776560 122452000 123130040 128018000 128726860 129554216 133837000 135443044 139920500 140819800 141599546 147220700 153912550 160908575 161942770 169303805 176024750 179098240 184025875 188442496 194672000 197008064 204828800 205962976 214139200 223872800 225311680 235553120 244904000 246260080 256036000 257453720 259108432 267674000 270886088 279841000 281639600 283199092 294441400 307825100 321817150 323885540 338607610 352049500 353998865 368051750 372468371 384781375 394016128 404856925 411925952 428278400 447745600 450623360 471106240 489808000 492520160 512072000 514907440 518216864 535348000 541772176 559682000 563279200 566398184 588882800 615650200 643634300 647771080 677215220 704099000 707997730 736103500 744936742 769562750 778797503 804542875 809713850 823851904 846519025 895491200 942212480 985040320 1024144000 1029814880 1036433728 1070696000 1083544352 1119364000 1126558400 1132796368 1177765600 1231300400 1287268600 1295542160 1354430440 1408198000 1415995460 1472207000 1489873484 1539125500 1557595006 1609085750 1619427700 1693038050 1769994325 1862341855 1970080640 2024284625 2059629760 2072867456 2141392000 2167088704 2238728000 2253116800 2265592736 2355531200 2462600800 2574537200 2591084320 2708860880 2816396000 2831990920 2944414000 2979746968 3078251000 3115190012 3218171500 3238855400 3386076100 3539988650 3724683710 3893987515 4048569250 4119259520 4232595125 4334177408 4477456000 4531185472 4711062400 4925201600 5149074400 5182168640 5417721760 5632792000 5663981840 5888828000 5959493936 6156502000 6230380024 6436343000 6477710800 6772152200 7079977300 7449367420 7787975030 8097138500 8465190250 8566772533 8849971625 9062370944 9311709275 9850403200 10298148800 10364337280 10835443520 11265584000 11327963680 11777656000 11918987872 12313004000 12460760048 12872686000 12955421600 13544304400 14159954600 14898734840 15575950060 16194277000 16930380500 17133545066 17699943250 18623418550 19469937575 20596297600 21670887040 22655927360 23555312000 23837975744 24626008000 24921520096 25745372000 25910843200 27088608800 28319909200 29797469680 31151900120 32388554000 33860761000 34267090132 35399886500 37246837100 38939875150 42833862665 45311854720 46558546375 47675951488 49252016000 49843040192 51490744000 51821686400 54177217600 56639818400 59594939360 62303800240 64777108000 67721522000 68534180264 70799773000 74493674200 77879750300 85667725330 93117092750 97349687875 99686080384 102981488000 108354435200 113279636800 119189878720 124607600480 129554216000 135443044000 137068360528 141599546000 148987348400 155759500600 171335450660 186234185500 194699375750 214169313325 226559273600 238379757440 249215200960 259108432000 270886088000 274136721056 283199092000 297974696800 311519001200 342670901320 372468371000 389398751500 428338626650 498430401920 541772176000 548273442112 566398184000 595949393600 623038002400 685341802640 744936742000 778797503000 856677253300 1070846566625 1096546884224 1132796368000 1191898787200 1246076004800 1370683605280 1489873484000 1557595006000 1713354506600 2141693133250 2492152009600 2741367210560 2979746968000 3115190012000 3426709013200 4283386266500 5482734421120 5959493936000 6230380024000 6853418026400 8566772533000 12460760048000 13706836052800 17133545066000 27413672105600 34267090132000 68534180264000 137068360528000
• Sum of all divisors σ(n): 391877372839680
• Sum of proper divisors (its aliquot sum) s(n): 254809012311680
• 137068360528000 is an abundant number, because the sum of its proper divisors (254809012311680) is greater than itself. Its abundance is 117740651783680

Bases of 137068360528000

• Binary: 11111001010100110110110111100000111000010000000₂
• Hexadecimal: 0x7CA9B6F07080
• Base-36: 1CL4C2UW74

Squares and roots of 137068360528000

• 137068360528000 squared (137068360528000²) is 18787735457833788438784000000
• 137068360528000 cubed (137068360528000³) is 2575204097239050855627323569917952000000000
• The square root of 137068360528000 is 11707619.7635556989
• The cube root of 137068360528000 is 51559.9403297051

Scales and comparisons

• 137,068,360,528,000 seconds is equal to 4,358,349 years, 45 weeks, 6 days, 23 hours, 6 minutes, 40 seconds.
• To count from 1 to 137,068,360,528,000 would take you about ten million, eight hundred ninety-five thousand, eight hundred seventy-four 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 137068360528000 cubic inches would be around 4296.7 feet tall.

Recreational maths with 137068360528000

• 137068360528000 backwards is 000825063860731
• The number of decimal digits it has is: 15
• The sum of 137068360528000's digits is 49
• More coming soon!