137254703136768
137,254,703,136,768 is an even composite number composed of six prime numbers multiplied together.
137254703136768 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty-eight divisors.
Prime factorization of 137254703136768:
216 × 33 × 7 × 31 × 37 × 9661
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 31 × 37 × 9661)See below for interesting mathematical facts about the number 137254703136768 from the Numbermatics database.
Names of 137254703136768
- Cardinal: 137254703136768 can be written as One hundred thirty-seven trillion, two hundred fifty-four billion, seven hundred three million, one hundred thirty-six thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37254703136768 × 1014
Factors of 137254703136768
Divisors of 137254703136768
- Number of divisors d(n): 1088
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 32 36 37 42 48 54 56 62 63 64 72 74 84 93 96 108 111 112 124 126 128 144 148 168 186 189 192 216 217 222 224 248 252 256 259 279 288 296 333 336 372 378 384 432 434 444 448 496 504 512 518 558 576 592 651 666 672 744 756 768 777 837 864 868 888 896 992 999 1008 1024 1036 1116 1147 1152 1184 1302 1332 1344 1488 1512 1536 1554 1674 1728 1736 1776 1792 1953 1984 1998 2016 2048 2072 2232 2294 2304 2331 2368 2604 2664 2688 2976 3024 3072 3108 3348 3441 3456 3472 3552 3584 3906 3968 3996 4032 4096 4144 4464 4588 4608 4662 4736 5208 5328 5376 5859 5952 6048 6144 6216 6696 6882 6912 6944 6993 7104 7168 7812 7936 7992 8029 8064 8192 8288 8928 9176 9216 9324 9472 9661 10323 10416 10656 10752 11718 11904 12096 12288 12432 13392 13764 13824 13888 13986 14208 14336 15624 15872 15984 16058 16128 16384 16576 17856 18352 18432 18648 18944 19322 20646 20832 21312 21504 23436 23808 24087 24192 24576 24864 26784 27528 27648 27776 27972 28416 28672 28983 30969 31248 31744 31968 32116 32256 32768 33152 35712 36704 36864 37296 37888 38644 41292 41664 42624 43008 46872 47616 48174 48384 49152 49728 53568 55056 55296 55552 55944 56832 57344 57966 61938 62496 63488 63936 64232 64512 65536 66304 67627 71424 72261 73408 73728 74592 75776 77288 82584 83328 85248 86016 86949 93744 95232 96348 96768 98304 99456 107136 110112 110592 111104 111888 113664 114688 115932 123876 124992 126976 127872 128464 129024 132608 135254 142848 144522 146816 147456 149184 151552 154576 165168 166656 170496 172032 173898 187488 190464 192696 193536 196608 198912 202881 214272 216783 220224 221184 222208 223776 227328 229376 231864 247752 249984 253952 255744 256928 258048 260847 265216 270508 285696 289044 293632 294912 298368 299491 303104 309152 330336 333312 340992 344064 347796 357457 374976 380928 385392 387072 397824 405762 428544 433566 440448 442368 444416 447552 454656 458752 463728 495504 499968 507904 511488 513856 516096 521694 530432 541016 571392 578088 587264 589824 596736 598982 606208 608643 618304 660672 666624 681984 688128 695592 714914 749952 761856 770784 774144 795648 811524 857088 867132 880896 884736 888832 895104 898473 909312 927456 991008 999936 1015808 1022976 1027712 1032192 1043388 1060864 1072371 1082032 1142784 1156176 1174528 1193472 1197964 1212416 1217286 1236608 1321344 1333248 1363968 1376256 1391184 1429828 1499904 1523712 1541568 1548288 1591296 1623048 1714176 1734264 1761792 1769472 1777664 1790208 1796946 1818624 1825929 1854912 1982016 1999872 2031616 2045952 2055424 2064384 2086776 2096437 2121728 2144742 2164064 2285568 2312352 2349056 2386944 2395928 2424832 2434572 2473216 2502199 2642688 2666496 2695419 2727936 2782368 2859656 2999808 3047424 3083136 3096576 3182592 3217113 3246096 3428352 3468528 3523584 3555328 3580416 3593892 3637248 3651858 3709824 3964032 3999744 4091904 4110848 4128768 4173552 4192874 4243456 4289484 4328128 4571136 4624704 4698112 4773888 4791856 4869144 4946432 5004398 5285376 5332992 5390838 5455872 5564736 5719312 5999616 6094848 6166272 6193152 6289311 6365184 6434226 6492192 6856704 6937056 7047168 7110656 7160832 7187784 7274496 7303716 7419648 7506597 7928064 7999488 8086257 8183808 8221696 8347104 8385748 8486912 8578968 8656256 9142272 9249408 9396224 9547776 9583712 9651339 9738288 9892864 10008796 10570752 10665984 10781676 10911744 11081167 11129472 11438624 11999232 12332544 12386304 12578622 12730368 12868452 12984384 13713408 13874112 14094336 14221312 14321664 14375568 14607432 14839296 15013194 15856128 15998976 16172514 16367616 16443392 16694208 16771496 16973824 17157936 17312512 18284544 18498816 18792448 18867933 19095552 19167424 19302678 19476576 19785728 20017592 21141504 21331968 21563352 21823488 22162334 22258944 22519791 22877248 23998464 24665088 25157244 25460736 25736904 25968768 27426816 27748224 28188672 28643328 28751136 29214864 29678592 30026388 31712256 31997952 32345028 32735232 32886784 33243501 33388416 33542992 34315872 34625024 36997632 37584896 37735866 38191104 38334848 38605356 38953152 39571456 40035184 42283008 42663936 43126704 44324668 44517888 45039582 45754496 47996928 49330176 50314488 50921472 51473808 51937536 54853632 55496448 56377344 56603799 57286656 57502272 58429728 59357184 60052776 63424512 63995904 64690056 65470464 65773568 66487002 66776832 67085984 67559373 68631744 69250048 73995264 75169792 75471732 76382208 76669696 77210712 77568169 77906304 79142912 80070368 84566016 86253408 88649336 89035776 90079164 91508992 95993856 98660352 99730503 100628976 102947616 103875072 110992896 112754688 113207598 114573312 115004544 116859456 118714368 120105552 126849024 127991808 129380112 131547136 132974004 133553664 134171968 135118746 137263488 138500096 147990528 150943464 152764416 153339392 154421424 155136338 155812608 158285824 160140736 169132032 172506816 177298672 178071552 180158328 183017984 191987712 197320704 199461006 201257952 205895232 207750144 221985792 225509376 226415196 229146624 230009088 232704507 233718912 237428736 240211104 253698048 258760224 263094272 265948008 267107328 268343936 270237492 274526976 277000192 295981056 299191509 301886928 306678784 308842848 310272676 311625216 316571648 320281472 338264064 345013632 354597344 356143104 360316656 366035968 383975424 394641408 398922012 402515904 411790464 415500288 443971584 452830392 458293248 460018176 465409014 467437824 474857472 480422208 507396096 517520448 526188544 531896016 534214656 536687872 540474984 549053952 554000384 591962112 598383018 603773856 613357568 617685696 620545352 623250432 633143296 640562944 676528128 690027264 698113521 709194688 712286208 720633312 732071936 789282816 797844024 805031808 823580928 831000576 887943168 905660784 920036352 930818028 934875648 949714944 960844416 1014792192 1035040896 1063792032 1068429312 1073375744 1080949968 1098107904 1108000768 1183924224 1196766036 1207547712 1226715136 1235371392 1241090704 1246500864 1281125888 1380054528 1396227042 1418389376 1424572416 1441266624 1464143872 1578565632 1595688048 1610063616 1647161856 1662001152 1775886336 1811321568 1840072704 1861636056 1869751296 1899429888 1921688832 2029584384 2070081792 2094340563 2127584064 2136858624 2146751488 2161899936 2196215808 2216001536 2367848448 2393532072 2415095424 2453430272 2470742784 2482181408 2493001728 2562251776 2760109056 2792454084 2836778752 2849144832 2882533248 2928287744 3191376096 3220127232 3294323712 3324002304 3551772672 3622643136 3680145408 3723272112 3739502592 3843377664 4140163584 4188681126 4255168128 4273717248 4293502976 4323799872 4392431616 4432003072 4735696896 4787064144 4830190848 4906860544 4941485568 4964362816 4986003456 5124503552 5520218112 5584908168 5673557504 5698289664 5765066496 5856575488 6382752192 6440254464 6588647424 6648004608 7103545344 7245286272 7360290816 7446544224 7479005184 7686755328 8280327168 8377362252 8510336256 8547434496 8587005952 8647599744 8784863232 9574128288 9660381696 9813721088 9882971136 9928725632 9972006912 10249007104 11040436224 11169816336 11347115008 11530132992 11713150976 12765504384 12880508928 13177294848 13296009216 14207090688 14490572544 14720581632 14893088448 14958010368 15373510656 16560654336 16754724504 17020672512 17094868992 17174011904 17295199488 17569726464 19148256576 19320763392 19627442176 19765942272 19857451264 19944013824 20498014208 22080872448 22339632672 22694230016 23060265984 23426301952 25531008768 25761017856 26354589696 28981145088 29441163264 29786176896 29916020736 30747021312 33121308672 33509449008 34041345024 34348023808 34590398976 35139452928 38296513152 38641526784 39531884544 39714902528 39888027648 40996028416 44161744896 44679265344 45388460032 46120531968 51062017536 51522035712 52709179392 57962290176 58882326528 59572353792 59832041472 61494042624 66242617344 67018898016 68082690048 68696047616 69180797952 70278905856 76593026304 77283053568 79063769088 79429805056 81992056832 88323489792 89358530688 90776920064 92241063936 102124035072 103044071424 105418358784 115924580352 119144707584 119664082944 122988085248 132485234688 134037796032 136165380096 137392095232 138361595904 153186052608 154566107136 158127538176 158859610112 163984113664 176646979584 178717061376 181553840128 184482127872 204248070144 206088142848 210836717568 231849160704 238289415168 245976170496 264970469376 268075592064 272330760192 276723191808 306372105216 309132214272 316255076352 317719220224 357434122752 363107680256 368964255744 408496140288 412176285696 463698321408 476578830336 491952340992 529940938752 536151184128 544661520384 553446383616 612744210432 618264428544 632510152704 635438440448 714868245504 726215360512 737928511488 816992280576 927396642816 953157660672 1072302368256 1089323040768 1106892767232 1225488420864 1236528857088 1270876880896 1429736491008 1475857022976 1633984561152 1854793285632 1906315321344 2144604736512 2178646081536 2213785534464 2450976841728 2541753761792 2859472982016 3267969122304 3709586571264 3812630642688 4289209473024 4427571068928 4901953683456 5083507523584 5718945964032 6535938244608 7625261285376 8578418946048 9803907366912 11437891928064 15250522570752 17156837892096 19607814733824 22875783856128 34313675784192 45751567712256 68627351568384 137254703136768
- Sum of all divisors σ(n): 492784681738240
- Sum of proper divisors (its aliquot sum) s(n): 355529978601472
- 137254703136768 is an abundant number, because the sum of its proper divisors (355529978601472) is greater than itself. Its abundance is 218275275464704
Bases of 137254703136768
- Binary: 111110011010101000110011101001100000000000000002
- Hexadecimal: 0x7CD519D30000
- Base-36: 1CNHXUFPC0
Squares and roots of 137254703136768
- 137254703136768 squared (1372547031367682) is 18838853533162311458513485824
- 137254703136768 cubed (1372547031367683) is 2585721249131246030055308331825802701176832
-
The
square root of 137254703136768 is 11715575.2371263443 -
The
cube root of 137254703136768 is 51583.2947667153
Scales and comparisons
How big is 137254703136768?- 137,254,703,136,768 seconds is equal to 4,364,275 years, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,254,703,136,768 would take you about ten million, nine hundred ten thousand, six hundred eighty-seven 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 137254703136768 cubic inches would be around 4298.6 feet tall.
Recreational maths with 137254703136768
- 137254703136768 backwards is 867631307452731
- 137254703136768 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137254703136768's digits is 63
- More coming soon!
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The information we have on file for 137254703136768 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 137254703136768, math, Factors of 137254703136768, curriculum, school, college, exams, university, Prime factorization of 137254703136768, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-seven trillion, two hundred fifty-four billion, seven hundred three million, one hundred thirty-six thousand, seven hundred sixty-eight.