137397678906466428000
137,397,678,906,466,428,000 is an even composite number composed of five prime numbers multiplied together.
137397678906466428000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 137397678906466428000:
25 × 3 × 53 × 2573 × 8773
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 257 × 257 × 257 × 877 × 877 × 877)See below for interesting mathematical facts about the number 137397678906466428000 from the Numbermatics database.
Names of 137397678906466428000
- Cardinal: 137397678906466428000 can be written as One hundred thirty-seven quintillion, three hundred ninety-seven quadrillion, six hundred seventy-eight trillion, nine hundred six billion, four hundred sixty-six million, four hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.37397678906466428 × 1020
Factors of 137397678906466428000
Divisors of 137397678906466428000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 257 300 375 400 480 500 514 600 750 771 800 877 1000 1028 1200 1285 1500 1542 1754 2000 2056 2400 2570 2631 3000 3084 3508 3855 4000 4112 4385 5140 5262 6000 6168 6425 7016 7710 8224 8770 10280 10524 12000 12336 12850 13155 14032 15420 17540 19275 20560 21048 21925 24672 25700 26310 28064 30840 32125 35080 38550 41120 42096 43850 51400 52620 61680 64250 65775 66049 70160 77100 84192 87700 96375 102800 105240 109625 123360 128500 131550 132098 140320 154200 175400 192750 198147 205600 210480 219250 225389 257000 263100 264196 308400 328875 330245 350800 385500 396294 420960 438500 450778 514000 526200 528392 616800 657750 660490 676167 701600 769129 771000 792588 877000 901556 990735 1028000 1052400 1056784 1126945 1315500 1320980 1352334 1538258 1542000 1585176 1651225 1754000 1803112 1981470 2104800 2113568 2253890 2307387 2631000 2641960 2704668 3076516 3084000 3170352 3302450 3380835 3508000 3606224 3845645 3962940 4507780 4614774 4953675 5262000 5283920 5409336 5634725 6153032 6340704 6604900 6761670 7212448 7691290 7925880 8256125 9015560 9229548 9907350 10524000 10567840 10818672 11269450 11536935 12306064 13209800 13523340 15382580 15851760 16512250 16904175 16974593 18031120 18459096 19228225 19814700 21637344 22538900 23073870 24612128 24768375 26419600 27046680 28173625 30765160 31703520 33024500 33808350 33949186 36062240 36918192 38456450 39629400 45077800 46147740 49536750 50923779 52839200 54093360 56347250 57684675 57924973 61530320 66049000 67616700 67898372 73836384 76912900 79258800 84520875 84872965 90155600 92295480 96141125 99073500 101847558 108186720 112694500 115369350 115849946 123060640 132098000 135233400 135796744 153825800 158517600 169041750 169745930 173774919 180311200 184590960 192282250 197666153 198147000 203695116 225389000 230738700 231699892 254618895 264196000 270466800 271593488 288423375 289624865 307651600 338083500 339491860 347549838 369181920 384564500 395332306 396294000 407390232 424364825 450778000 461477400 463399784 509237790 540933600 543186976 576846750 579249730 592998459 615303200 674526133 676167000 678983720 695099676 769129000 790664612 792588000 814780464 848729650 868874595 901556000 922954800 926799568 988330765 1018475580 1153693500 1158499460 1185996918 1273094475 1349052266 1352334000 1357967440 1390199352 1448124325 1538258000 1581329224 1629560928 1697459300 1737749190 1845909600 1853599136 1976661530 2023578399 2036951160 2121824125 2307387000 2316998920 2371993836 2546188950 2698104532 2704668000 2715934880 2780398704 2896248650 2964992295 3076516000 3162658448 3372630665 3394918600 3475498380 3953323060 4047156798 4073902320 4243648250 4344372975 4614774000 4633997840 4743987672 4941653825 5092377900 5396209064 5560797408 5792497300 5929984590 6325316896 6365472375 6745261330 6789837200 6950996760 7240621625 7906646120 8094313596 8147804640 8487296500 8688745950 9229548000 9267995680 9487975344 9883307650 10117891995 10184755800 10792418128 11584994600 11859969180 12730944750 13490522660 13579674400 13901993520 14481243250 14824961475 14886718061 15813292240 16188627192 16863153325 16974593000 17377491900 18975950688 19766615300 20235783990 20369511600 21584836256 21721864875 23169989200 23719938360 24708269125 25461889500 26981045320 27803987040 28962486500 29649922950 29773436122 31626584480 32377254384 33726306650 33949186000 34754983800 39533230600 40471567980 40739023200 43443729750 44660154183 46339978400 47439876720 49416538250 50589459975 50800201321 50923779000 53962090640 57924973000 59299845900 59546872244 64754508768 67452613300 67898372000 69509967600 74124807375 74433590305 79066461200 80943135960 84315766625 86887459500 89320308366 94879753440 98833076500 101178919950 101600402642 101847558000 107924181280 115849946000 118599691800 119093744488 134905226600 139019935200 148249614750 148867180610 152400603963 158132922400 161886271920 168631533250 173353216181 173774919000 178640616732 197666153000 202357839900 203200805284 203695116000 223300770915 231699892000 237199383600 238187488976 252947299875 254001006605 269810453200 296499229500 297734361220 304801207926 323772543840 337263066500 346706432362 347549838000 357281233464 372167951525 395332306000 404715679800 406401610568 446601541830 474398767200 476374977952 505894599750 508002013210 520059648543 539620906400 592998459000 595468722440 609602415852 674526133000 693412864724 695099676000 714562466928 744335903050 762003019815 790664612000 809431359600 812803221136 866766080905 893203083660 1011789199500 1016004026420 1040119297086 1116503854575 1185996918000 1190937444880 1219204831704 1270005033025 1349052266000 1386825729448 1429124933856 1488671806100 1524006039630 1618862719200 1625606442272 1733532161810 1786406167320 1860839757625 2023578399000 2032008052840 2080238594172 2233007709150 2371993836000 2381874889760 2438409663408 2540010066050 2600298242715 2698104532000 2773651458896 2977343612200 3048012079260 3467064323620 3572812334640 3721679515250 3810015099075 4047156798000 4064016105680 4160477188344 4333830404525 4466015418300 4876819326816 5080020132100 5200596485430 5547302917792 5582519272875 5954687224400 6096024158520 6350025165125 6934128647240 7145624669280 7443359030500 7620030198150 8094313596000 8128032211360 8320954376688 8667660809050 8932030836600 10160040264200 10401192970860 11165038545750 11909374448800 12192048317040 12700050330250 13001491213575 13055651739497 13868257294480 14886718061000 15240060396300 16641908753376 17335321618100 17864061673200 19050075495375 20320080528400 20802385941720 21669152022625 22330077091500 24384096634080 25400100660500 26002982427150 26111303478994 27736514588960 29773436122000 30480120792600 34670643236200 35728123346400 38100150990750 39166955218491 40640161056800 41604771883440 43338304045250 44551776558517 44660154183000 50800201321000 52005964854300 52222606957988 59546872244000 60960241585200 65007456067875 65278258697485 69341286472400 76200301981500 78333910436982 83209543766880 86676608090500 89103553117034 89320308366000 101600402642000 104011929708600 104445213915976 121920483170400 130014912135750 130556517394970 133655329675551 138682572944800 152400603963000 156667820873964 173353216181000 178207106234068 178640616732000 195834776092455 203200805284000 208023859417200 208890427831952 222758882792585 260029824271500 261113034789940 267310659351102 304801207926000 313335641747928 326391293487425 346706432362000 356414212468136 391669552184910 416047718834400 417780855663904 445517765585170 520059648543000 522226069579880 534621318702204 609602415852000 626671283495856 652782586974850 668276648377755 693412864724000 712828424936272 783339104369820 891035531170340 979173880462275 1040119297086000 1044452139159760 1069242637404408 1113794413962925 1253342566991712 1305565173949700 1336553296755510 1425656849872544 1566678208739640 1631956467437125 1782071062340680 1958347760924550 2080238594172000 2088904278319520 2138485274808816 2227588827925850 2611130347899400 2673106593511020 3133356417479280 3263912934874250 3341383241888775 3564142124681360 3916695521849100 4276970549617632 4455177655851700 4895869402311375 5222260695798800 5346213187022040 5568972069814625 6266712834958560 6527825869748500 6682766483777550 7128284249362720 7833391043698200 8910355311703400 9791738804622750 10444521391597600 10692426374044080 11137944139629250 11449806575538869 13055651739497000 13365532967555100 15666782087396400 16706916209443875 17820710623406800 19583477609245500 21384852748088160 22275888279258500 22899613151077738 26111303478994000 26731065935110200 31333564174792800 33413832418887750 34349419726616607 35641421246813600 39166955218491000 44551776558517000 45799226302155476 52222606957988000 53462131870220400 57249032877694345 66827664837775500 68698839453233214 78333910436982000 89103553117034000 91598452604310952 106924263740440800 114498065755388690 133655329675551000 137397678906466428 156667820873964000 171747098633083035 178207106234068000 183196905208621904 228996131510777380 267310659351102000 274795357812932856 286245164388471725 343494197266166070 366393810417243808 457992263021554760 534621318702204000 549590715625865712 572490328776943450 686988394532332140 858735493165415175 915984526043109520 1099181431251731424 1144980657553886900 1373976789064664280 1431225821942358625 1717470986330830350 1831969052086219040 2289961315107773800 2747953578129328560 2862451643884717250 3434941972661660700 4293677465827075875 4579922630215547600 5495907156258657120 5724903287769434500 6869883945323321400 8587354931654151750 9159845260431095200 11449806575538869000 13739767890646642800 17174709863308303500 22899613151077738000 27479535781293285600 34349419726616607000 45799226302155476000 68698839453233214000 137397678906466428000
- Sum of all divisors σ(n): 452388893738457312000
- Sum of proper divisors (its aliquot sum) s(n): 314991214831990884000
- 137397678906466428000 is an abundant number, because the sum of its proper divisors (314991214831990884000) is greater than itself. Its abundance is 177593535925524456000
Bases of 137397678906466428000
- Binary: 11101110010110001101001110100000000010101110001110011100100011000002
- Hexadecimal: 0x772C69D00571CE460
- Base-36: SZVSKA18VGG2O
Squares and roots of 137397678906466428000
- 137397678906466428000 squared (1373976789064664280002) is 18878122168884449605989753091079184000000
- 137397678906466428000 cubed (1373976789064664280003) is 2593810168117431195947306745595141284807258585634752000000000
-
The
square root of 137397678906466428000 is 11721675601.4857546475 -
The
cube root of 137397678906466428000 is 5160119.9682970583
Scales and comparisons
How big is 137397678906466428000?- 137,397,678,906,466,428,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,397,678,906,466,428,000 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 137397678906466428000 cubic inches would be around 430010 feet tall.
Recreational maths with 137397678906466428000
- 137397678906466428000 backwards is 000824664609876793731
- 137397678906466428000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137397678906466428000's digits is 96
- More coming soon!
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The information we have on file for 137397678906466428000 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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