138252717880012800
138,252,717,880,012,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 138252717880012800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 702 divisors.
138252717880012800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred two divisors.
Prime factorization of 138252717880012800:
212 × 32 × 52 × 23 × 807612
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 23 × 80761 × 80761)See below for interesting mathematical facts about the number 138252717880012800 from the Numbermatics database.
Names of 138252717880012800
- Cardinal: 138252717880012800 can be written as One hundred thirty-eight quadrillion, two hundred fifty-two trillion, seven hundred seventeen billion, eight hundred eighty million, twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382527178800128 × 1017
Factors of 138252717880012800
Divisors of 138252717880012800
- Number of divisors d(n): 702
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 32 36 40 45 46 48 50 60 64 69 72 75 80 90 92 96 100 115 120 128 138 144 150 160 180 184 192 200 207 225 230 240 256 276 288 300 320 345 360 368 384 400 414 450 460 480 512 552 575 576 600 640 690 720 736 768 800 828 900 920 960 1024 1035 1104 1150 1152 1200 1280 1380 1440 1472 1536 1600 1656 1725 1800 1840 1920 2048 2070 2208 2300 2304 2400 2560 2760 2880 2944 3072 3200 3312 3450 3600 3680 3840 4096 4140 4416 4600 4608 4800 5120 5175 5520 5760 5888 6144 6400 6624 6900 7200 7360 7680 8280 8832 9200 9216 9600 10240 10350 11040 11520 11776 12288 12800 13248 13800 14400 14720 15360 16560 17664 18400 18432 19200 20480 20700 22080 23040 23552 25600 26496 27600 28800 29440 30720 33120 35328 36800 36864 38400 41400 44160 46080 47104 51200 52992 55200 57600 58880 61440 66240 70656 73600 76800 80761 82800 88320 92160 94208 102400 105984 110400 115200 117760 132480 141312 147200 153600 161522 165600 176640 184320 211968 220800 230400 235520 242283 264960 282624 294400 307200 323044 331200 353280 403805 423936 441600 460800 471040 484566 529920 588800 646088 662400 706560 726849 807610 847872 883200 921600 969132 1059840 1177600 1211415 1292176 1324800 1413120 1453698 1615220 1766400 1857503 1938264 2019025 2119680 2355200 2422830 2584352 2649600 2907396 3230440 3532800 3634245 3715006 3876528 4038050 4239360 4845660 5168704 5299200 5572509 5814792 6057075 6460880 7065600 7268490 7430012 7753056 8076100 9287515 9691320 10337408 10598400 11145018 11629584 12114150 12921760 14536980 14860024 15506112 16152200 16717527 18171225 18575030 19382640 20674816 21196800 22290036 23259168 24228300 25843520 27862545 29073960 29720048 31012224 32304400 33435054 36342450 37150060 38765280 41349632 44580072 46437575 46518336 48456600 51687040 55725090 58147920 59440096 62024448 64608800 66870108 72684900 74300120 77530560 82699264 83587635 89160144 92875150 93036672 96913200 103374080 111450180 116295840 118880192 124048896 129217600 133740216 139312725 145369800 148600240 155061120 165398528 167175270 178320288 185750300 186073344 193826400 206748160 222900360 232591680 237760384 248097792 258435200 267480432 278625450 290739600 297200480 310122240 330797056 334350540 356640576 371500600 372146688 387652800 413496320 417938175 445800720 465183360 475520768 496195584 516870400 534960864 557250900 581479200 594400960 620244480 668701080 713281152 743001200 744293376 775305600 826992640 835876350 891601440 930366720 951041536 992391168 1033740800 1069921728 1114501800 1162958400 1188801920 1240488960 1337402160 1426562304 1486002400 1488586752 1550611200 1653985280 1671752700 1783202880 1860733440 1902083072 2067481600 2139843456 2229003600 2325916800 2377603840 2480977920 2674804320 2853124608 2972004800 2977173504 3101222400 3343505400 3566405760 3721466880 3804166144 4134963200 4279686912 4458007200 4651833600 4755207680 4961955840 5349608640 5706249216 5944009600 6202444800 6522339121 6687010800 7132811520 7442933760 7608332288 8269926400 8559373824 8916014400 9303667200 9510415360 10699217280 11412498432 11888019200 12404889600 13044678242 13374021600 14265623040 14885867520 17118747648 17832028800 18607334400 19020830720 19567017363 21398434560 22824996864 23776038400 24809779200 26089356484 26748043200 28531246080 32611695605 34237495296 35664057600 37214668800 38041661440 39134034726 42796869120 47552076800 52178712968 53496086400 57062492160 58701052089 65223391210 68474990592 71328115200 74429337600 78268069452 85593738240 95104153600 97835086815 104357425936 106992172800 114124984320 117402104178 130446782420 142656230400 150013799783 156536138904 163058478025 171187476480 190208307200 195670173630 208714851872 213984345600 234804208356 260893564840 285312460800 293505260445 300027599566 313072277808 326116956050 342374952960 391340347260 417429703744 427968691200 450041399349 469608416712 489175434075 521787129680 570624921600 587010520890 600055199132 626144555616 652233912100 750068998915 782680694520 834859407488 855937382400 900082798698 939216833424 978350868150 1043574259360 1174021041780 1200110398264 1252289111232 1304467824200 1350124198047 1467526302225 1500137997830 1565361389040 1669718814976 1711874764800 1800165597396 1878433666848 1956701736300 2087148518720 2250206996745 2348042083560 2400220796528 2504578222464 2608935648400 2700248396094 2935052604450 3000275995660 3130722778080 3339437629952 3600331194792 3750344994575 3756867333696 3913403472600 4174297037440 4500413993490 4696084167120 4800441593056 5009156444928 5217871296800 5400496792188 5870105208900 6000551991320 6261445556160 6678875259904 6750620990235 7200662389584 7500689989150 7513734667392 7826806945200 8348594074880 9000827986980 9392168334240 9600883186112 10018312889856 10435742593600 10800993584376 11251034983725 11740210417800 12001103982640 12522891112320 13357750519808 13501241980470 14401324779168 15001379978300 15027469334784 15653613890400 16697188149760 18001655973960 18784336668480 19201766372224 20036625779712 20871485187200 21601987168752 22502069967450 23480420835600 24002207965280 25045782224640 26715501039616 27002483960940 28802649558336 30002759956600 30054938669568 31307227780800 33394376299520 33753104951175 36003311947920 37568673336960 38403532744448 40073251559424 41742970374400 43203974337504 45004139934900 46960841671200 48004415930560 50091564449280 54004967921880 57605299116672 60005519913200 60109877339136 62614455561600 66788752599040 67506209902350 72006623895840 75137346673920 76807065488896 80146503118848 83485940748800 86407948675008 90008279869800 93921683342400 96008831861120 100183128898560 108009935843760 115210598233344 120011039826400 120219754678272 125228911123200 133577505198080 135012419804700 144013247791680 150274693347840 153614130977792 166971881497600 172815897350016 180016559739600 187843366684800 192017663722240 200366257797120 216019871687520 230421196466688 240022079652800 240439509356544 250457822246400 270024839609400 288026495583360 300549386695680 307228261955584 333943762995200 345631794700032 360033119479200 375686733369600 384035327444480 400732515594240 432039743375040 460842392933376 480044159305600 500915644492800 540049679218800 576052991166720 601098773391360 614456523911168 667887525990400 691263589400064 720066238958400 751373466739200 768070654888960 864079486750080 921684785866752 960088318611200 1001831288985600 1080099358437600 1152105982333440 1202197546782720 1382527178800128 1440132477916800 1502746933478400 1536141309777920 1728158973500160 1843369571733504 1920176637222400 2003662577971200 2160198716875200 2304211964666880 2765054357600256 2880264955833600 3005493866956800 3072282619555840 3456317947000320 3840353274444800 4320397433750400 4608423929333760 5530108715200512 5760529911667200 6010987733913600 6912635894000640 7680706548889600 8640794867500800 9216847858667520 11521059823334400 13825271788001280 15361413097779200 17281589735001600 23042119646668800 27650543576002560 34563179470003200 46084239293337600 69126358940006400 138252717880012800
- Sum of all divisors σ(n): 516727966282707816
- Sum of proper divisors (its aliquot sum) s(n): 378475248402695016
- 138252717880012800 is an abundant number, because the sum of its proper divisors (378475248402695016) is greater than itself. Its abundance is 240222530522682216
Bases of 138252717880012800
- Binary: 1111010110010110000011101010010100111100001110000000000002
- Hexadecimal: 0x1EB2C1D4A787000
- Base-36: 11TAHXSMD4W0
Squares and roots of 138252717880012800
- 138252717880012800 squared (1382527178800128002) is 19113814001210410963977728163840000
- 138252717880012800 cubed (1382527178800128003) is 2642536734720381582340887187699040852379697152000000
-
The
square root of 138252717880012800 is 371823503.6680882011 -
The
cube root of 138252717880012800 is 517080.1815114007
Scales and comparisons
How big is 138252717880012800?- 138,252,717,880,012,800 seconds is equal to 4,396,008,784 years, 44 weeks, 1 day, 8 hours.
-
To count from 1 to 138,252,717,880,012,800 would take you about thirteen billion, one hundred eighty-eight million, twenty-six thousand, three hundred fifty-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 138252717880012800 cubic inches would be around 43090 feet tall.
Recreational maths with 138252717880012800
- 138252717880012800 backwards is 008210088717252831
- The number of decimal digits it has is: 18
- The sum of 138252717880012800's digits is 63
- More coming soon!
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The information we have on file for 138252717880012800 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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