149981362401312000
149,981,362,401,312,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 149981362401312000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
149981362401312000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 149981362401312000:
28 × 32 × 53 × 132 × 555112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 55511 × 55511)See below for interesting mathematical facts about the number 149981362401312000 from the Numbermatics database.
Names of 149981362401312000
- Cardinal: 149981362401312000 can be written as One hundred forty-nine quadrillion, nine hundred eighty-one trillion, three hundred sixty-two billion, four hundred one million, three hundred twelve thousand.
Scientific notation
- Scientific notation: 1.49981362401312 × 1017
Factors of 149981362401312000
Divisors of 149981362401312000
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 125 128 130 144 150 156 160 169 180 192 195 200 208 225 234 240 250 256 260 288 300 312 320 325 338 360 375 384 390 400 416 450 468 480 500 507 520 576 585 600 624 640 650 676 720 750 768 780 800 832 845 900 936 960 975 1000 1014 1040 1125 1152 1170 1200 1248 1280 1300 1352 1440 1500 1521 1560 1600 1625 1664 1690 1800 1872 1920 1950 2000 2028 2080 2250 2304 2340 2400 2496 2535 2600 2704 2880 2925 3000 3042 3120 3200 3250 3328 3380 3600 3744 3840 3900 4000 4056 4160 4225 4500 4680 4800 4875 4992 5070 5200 5408 5760 5850 6000 6084 6240 6400 6500 6760 7200 7488 7605 7800 8000 8112 8320 8450 9000 9360 9600 9750 9984 10140 10400 10816 11520 11700 12000 12168 12480 12675 13000 13520 14400 14625 14976 15210 15600 16000 16224 16640 16900 18000 18720 19200 19500 20280 20800 21125 21632 23400 24000 24336 24960 25350 26000 27040 28800 29250 29952 30420 31200 32000 32448 33800 36000 37440 38025 39000 40560 41600 42250 43264 46800 48000 48672 49920 50700 52000 54080 55511 57600 58500 60840 62400 63375 64896 67600 72000 74880 76050 78000 81120 83200 84500 93600 96000 97344 101400 104000 108160 111022 117000 121680 124800 126750 129792 135200 144000 149760 152100 156000 162240 166533 169000 187200 190125 194688 202800 208000 216320 222044 234000 243360 249600 253500 270400 277555 288000 304200 312000 324480 333066 338000 374400 380250 389376 405600 416000 444088 468000 486720 499599 507000 540800 555110 608400 624000 648960 666132 676000 721643 748800 760500 811200 832665 888176 936000 973440 999198 1014000 1081600 1110220 1216800 1248000 1332264 1352000 1387775 1443286 1521000 1622400 1665330 1776352 1872000 1946880 1998396 2028000 2164929 2220440 2433600 2497995 2664528 2704000 2775550 2886572 3042000 3244800 3330660 3552704 3608215 3744000 3996792 4056000 4163325 4329858 4440880 4867200 4995990 5329056 5408000 5551100 5773144 6084000 6494787 6661320 6938875 7105408 7216430 7993584 8112000 8326650 8659716 8881760 9381359 9734400 9991980 10658112 10824645 11102200 11546288 12168000 12489975 12989574 13322640 13877750 14210816 14432860 15987168 16224000 16653300 17319432 17763520 18041075 18762718 19983960 20816625 21316224 21649290 22204400 23092576 24336000 24979950 25979148 26645280 27755500 28144077 28865720 31974336 32473935 33306600 34638864 35527040 36082150 37525436 39967920 41633250 42632448 43298580 44408800 46185152 46906795 48672000 49959900 51958296 53290560 54123225 55511000 56288154 57731440 62449875 63948672 64947870 66613200 69277728 71054080 72164300 75050872 79935840 83266500 84432231 86597160 88817600 90205375 92370304 93813590 99919800 103916592 106581120 108246450 111022000 112576308 115462880 124899750 127897344 129895740 133226400 138555456 140720385 144328600 150101744 159871680 162369675 166533000 168864462 173194320 177635200 180410750 184740608 187627180 199839600 207833184 213162240 216492900 222044000 225152616 230925760 234533975 249799500 259791480 266452800 270616125 277110912 281440770 288657200 300203488 319743360 324739350 333066000 337728924 346388640 355270400 360821500 375254360 399679200 415666368 422161155 432985800 444088000 450305232 461851520 469067950 499599000 519582960 532905600 541232250 554221824 562881540 577314400 600406976 639486720 649478700 666132000 675457848 692777280 703601925 721643000 750508720 799358400 811848375 831332736 844322310 865971600 888176000 900610464 923703040 938135900 999198000 1039165920 1065811200 1082464500 1125763080 1154628800 1172669875 1200813952 1298957400 1332264000 1350915696 1385554560 1407203850 1443286000 1501017440 1598716800 1623696750 1662665472 1688644620 1731943200 1776352000 1801220928 1876271800 1998396000 2078331840 2110805775 2164929000 2251526160 2309257600 2345339750 2401627904 2597914800 2664528000 2701831392 2771109120 2814407700 2886572000 3002034880 3081471121 3197433600 3247393500 3377289240 3463886400 3518009625 3602441856 3752543600 3996792000 4156663680 4221611550 4329858000 4503052320 4618515200 4690679500 5195829600 5329056000 5403662784 5628815400 5773144000 6004069760 6162942242 6494787000 6754578480 6927772800 7036019250 7204883712 7505087200 7993584000 8313327360 8443223100 8659716000 9006104640 9244413363 9381359000 10391659200 10554028875 10807325568 11257630800 11546288000 12008139520 12325884484 12989574000 13509156960 13855545600 14072038500 15010174400 15407355605 15987168000 16886446200 17319432000 18012209280 18488826726 18762718000 20783318400 21108057750 21614651136 22515261600 23092576000 24651768968 25979148000 27018313920 27733240089 28144077000 30020348800 30814711210 33772892400 34638864000 36024418560 36977653452 37525436000 40059124573 41566636800 42216115500 45030523200 46222066815 49303537936 51958296000 54036627840 55466480178 56288154000 60040697600 61629422420 67545784800 69277728000 73955306904 75050872000 77036778025 80118249146 84432231000 90061046400 92444133630 98607075872 103916592000 108073255680 110932960356 112576308000 120177373719 123258844840 135091569600 138666200445 147910613808 150101744000 154073556050 160236498292 168864462000 180122092800 184888267260 197214151744 200295622865 207833184000 221865920712 225152616000 231110334075 240354747438 246517689680 270183139200 277332400890 295821227616 300203488000 308147112100 320472996584 337728924000 360532121157 369776534520 385183890125 394428303488 400591245730 443731841424 450305232000 462220668150 480709494876 493035379360 520768619449 540366278400 554664801780 591642455232 600886868595 616294224200 640945993168 675457848000 693331002225 721064242314 739553069040 770367780250 788856606976 801182491460 887463682848 900610464000 924441336300 961418989752 986070758720 1001478114325 1041537238898 1109329603560 1155551670375 1183284910464 1201773737190 1232588448400 1281891986336 1350915696000 1386662004450 1442128484628 1479106138080 1540735560500 1562305858347 1602364982920 1774927365696 1802660605785 1848882672600 1922837979504 1972141517440 2002956228650 2083074477796 2218659207120 2311103340750 2366569820928 2403547474380 2465176896800 2563783972672 2603843097245 2701831392000 2773324008900 2884256969256 2958212276160 3004434342975 3081471121000 3124611716694 3204729965840 3466655011125 3549854731392 3605321211570 3697765345200 3845675959008 3944283034880 4005912457300 4166148955592 4437318414240 4622206681500 4686917575041 4807094948760 4930353793600 5007390571625 5127567945344 5207686194490 5546648017800 5768513938512 5916424552320 6008868685950 6162942242000 6249223433388 6409459931680 6933310022250 7099709462784 7210642423140 7395530690400 7691351918016 7811529291735 8011824914600 8332297911184 8874636828480 9013303028925 9244413363000 9373835150082 9614189897520 9860707587200 10014781143250 10255135890688 10415372388980 11093296035600 11537027877024 11832849104640 12017737371900 12325884484000 12498446866776 12818919863360 13019215486225 13866620044500 14421284846280 14791061380800 15022171714875 15382703836032 15623058583470 16023649829200 16664595822368 17749273656960 18026606057850 18488826726000 18747670300164 19228379795040 19721415174400 20029562286500 20830744777960 22186592071200 23074055754048 23434587875205 24035474743800 24651768968000 24996893733552 25637839726720 26038430972450 27733240089000 28842569692560 29582122761600 30044343429750 30765407672064 31246117166940 32047299658400 33329191644736 35498547313920 36053212115700 36977653452000 37495340600328 38456759590080 39057646458675 40059124573000 41661489555920 44373184142400 45066515144625 46148111508096 46869175750410 48070949487600 49303537936000 49993787467104 51275679453440 52076861944900 55466480178000 57685139385120 59164245523200 60088686859500 62492234333880 64094599316800 65096077431125 66658383289472 72106424231400 73955306904000 74990681200656 76913519180160 78115292917350 80118249146000 83322979111840 88746368284800 90133030289250 92296223016192 93738351500820 96141898975200 98607075872000 99987574934208 104153723889800 110932960356000 115370278770240 117172939376025 120177373719000 124984468667760 128189198633600 130192154862250 133316766578944 144212848462800 147910613808000 149981362401312 153827038360320 156230585834700 160236498292000 166645958223680 177492736569600 180266060578500 187476703001640 192283797950400 195288232293375 199975149868416 208307447779600 221865920712000 230740557540480 234345878752050 240354747438000 249968937335520 256378397267200 260384309724500 288425696925600 295821227616000 299962724802624 312461171669400 320472996584000 333291916447360 360532121157000 374953406003280 384567595900800 390576464586750 399950299736832 416614895559200 443731841424000 461481115080960 468691757504100 480709494876000 499937874671040 520768619449000 576851393851200 585864696880125 599925449605248 624922343338800 640945993168000 666583832894720 721064242314000 749906812006560 769135191801600 781152929173500 833229791118400 887463682848000 937383515008200 961418989752000 999875749342080 1041537238898000 1153702787702400 1171729393760250 1199850899210496 1249844686677600 1281891986336000 1442128484628000 1499813624013120 1562305858347000 1666459582236800 1874767030016400 1922837979504000 1999751498684160 2083074477796000 2307405575404800 2343458787520500 2499689373355200 2884256969256000 2999627248026240 3124611716694000 3332919164473600 3749534060032800 3845675959008000 4166148955592000 4686917575041000 4999378746710400 5768513938512000 5999254496052480 6249223433388000 7499068120065600 8332297911184000 9373835150082000 9998757493420800 11537027877024000 12498446866776000 14998136240131200 16664595822368000 18747670300164000 24996893733552000 29996272480262400 37495340600328000 49993787467104000 74990681200656000 149981362401312000
- Sum of all divisors σ(n): 584394158464346412
- Sum of proper divisors (its aliquot sum) s(n): 434412796063034412
- 149981362401312000 is an abundant number, because the sum of its proper divisors (434412796063034412) is greater than itself. Its abundance is 284431433661722412
Bases of 149981362401312000
- Binary: 10000101001101011101000001001001001101101111111101000000002
- Hexadecimal: 0x214D74124DBFD00
- Base-36: 150RYEPDPVK0
Squares and roots of 149981362401312000
- 149981362401312000 squared (1499813624013120002) is 22494409067753684854939321344000000
- 149981362401312000 cubed (1499813624013120003) is 3373742118394124226860938619034199455203328000000000
-
The
square root of 149981362401312000 is 387274272.8368513765 -
The
cube root of 149981362401312000 is 531307.2776754283
Scales and comparisons
How big is 149981362401312000?- 149,981,362,401,312,000 seconds is equal to 4,768,943,401 years, 28 weeks, 3 days, 8 hours.
-
To count from 1 to 149,981,362,401,312,000 would take you about fourteen billion, three hundred six million, eight hundred thirty thousand, two hundred 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 149981362401312000 cubic inches would be around 44275.6 feet tall.
Recreational maths with 149981362401312000
- 149981362401312000 backwards is 000213104263189941
- The number of decimal digits it has is: 18
- The sum of 149981362401312000's digits is 54
- 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 149981362401312000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
APA style:
Numbermatics. (2024). Number 149981362401312000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/149981362401312000/
Chicago style:
Numbermatics. 2024. "Number 149981362401312000 - Facts about the integer". https://numbermatics.com/n/149981362401312000/
The information we have on file for 149981362401312000 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 149981362401312000, math, Factors of 149981362401312000, curriculum, school, college, exams, university, Prime factorization of 149981362401312000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-nine quadrillion, nine hundred eighty-one trillion, three hundred sixty-two billion, four hundred one million, three hundred twelve thousand.