137967872198992000
137,967,872,198,992,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 137967872198992000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1920 divisors.
137967872198992000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 137967872198992000:
27 × 53 × 114 × 17 × 29 × 10932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 17 × 29 × 1093 × 1093)See below for interesting mathematical facts about the number 137967872198992000 from the Numbermatics database.
Names of 137967872198992000
- Cardinal: 137967872198992000 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-seven trillion, eight hundred seventy-two billion, one hundred ninety-eight million, nine hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.37967872198992 × 1017
Factors of 137967872198992000
Divisors of 137967872198992000
- Number of divisors d(n): 1920
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 29 32 34 40 44 50 55 58 64 68 80 85 88 100 110 116 121 125 128 136 145 160 170 176 187 200 220 232 242 250 272 275 290 319 320 340 352 374 400 425 440 464 484 493 500 544 550 580 605 638 640 680 704 725 748 800 850 880 928 935 968 986 1000 1088 1093 1100 1160 1210 1276 1331 1360 1375 1408 1450 1496 1595 1600 1700 1760 1856 1870 1936 1972 2000 2057 2125 2176 2186 2200 2320 2420 2465 2552 2662 2720 2750 2900 2992 3025 3190 3200 3400 3509 3520 3625 3712 3740 3872 3944 4000 4114 4250 4372 4400 4640 4675 4840 4930 5104 5324 5423 5440 5465 5500 5800 5984 6050 6380 6655 6800 7018 7040 7250 7480 7744 7888 7975 8000 8228 8500 8744 8800 9280 9350 9680 9860 10208 10285 10648 10846 10880 10930 11000 11600 11968 12023 12100 12325 12760 13310 13600 14036 14500 14641 14960 15125 15488 15776 15950 16000 16456 17000 17488 17545 17600 18560 18581 18700 19360 19720 20416 20570 21296 21692 21860 22000 22627 23200 23375 23936 24046 24200 24650 25520 26620 27115 27200 27325 28072 29000 29282 29920 30250 31552 31697 31900 32912 33275 34000 34976 35090 35200 37162 37400 38599 38720 39440 39875 40832 41140 42592 43384 43720 44000 45254 46400 46750 48092 48400 49300 51040 51425 53240 54230 54400 54650 56144 58000 58564 59653 59840 60115 60500 61625 63104 63394 63800 65824 66550 68000 69952 70180 73205 74324 74800 77198 77440 78880 79750 82280 85184 86768 87440 87725 88000 90508 92800 92905 93500 96184 96800 98600 102080 102850 106480 108460 109300 112288 113135 116000 117128 119306 119680 120230 121000 123250 126788 127600 131648 132253 133100 135575 136000 136625 139904 140360 146410 148648 149600 154396 157760 158485 159500 164560 166375 170368 173536 174880 175450 176000 181016 185810 187000 192368 192995 193600 197200 204160 204391 205700 212960 216920 218600 224576 226270 232000 234256 238612 240460 242000 246500 248897 253576 255200 257125 263296 264506 266200 271150 272000 273250 280720 292820 297296 298265 299200 300575 308792 315520 316970 319000 329120 332750 347072 348667 349760 350900 362032 366025 371620 374000 384736 385990 387200 394400 408782 411400 424589 425920 433840 437200 438625 449152 452540 464000 464525 468512 477224 480920 484000 493000 497794 507152 510400 514250 529012 532400 538849 542300 546500 561440 565675 585640 594592 596530 598400 601150 617584 633940 638000 656183 658240 661265 665500 677875 694144 697334 699520 701800 724064 732050 743240 748000 769472 771980 788800 792425 817564 822800 849178 851840 867680 874400 877250 905080 929050 937024 954448 961840 964975 968000 986000 995588 1014304 1020800 1021955 1028500 1058024 1064800 1077698 1084600 1093000 1122880 1131350 1171280 1189184 1193060 1194649 1202300 1235168 1244485 1267880 1276000 1312366 1316480 1322530 1331000 1355750 1394668 1403600 1448128 1454783 1464100 1486480 1491325 1496000 1502875 1538944 1543960 1577600 1584850 1635128 1645600 1698356 1735360 1743335 1748800 1754500 1810160 1830125 1858100 1874048 1908896 1923680 1929950 1936000 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16231514376352 16768093364000 17245984024874 17300046670720 17490856009000 17816099199250 18444902700400 19030051337792 19597709119175 19659143944000 20289392970440 20731460886400 21625058338400 22804606975040 23056128375500 23787564172240 25085067672544 25245722268800 25361741213050 25441245104000 25914326108000 27031322923000 27985369614400 28505758718800 29511844320640 29734455215300 31356334590680 31557152836000 32463028752704 33536186728000 34491968049748 34981712018000 35632198398500 36889805400800 37168069019125 38060102675584 39195418238350 39318287888000 40578785940880 43114960062185 43250116676800 45609213950080 46112256751000 47575128344480 50170135345088 50723482426100 51828652216000 54062645846000 55970739228800 57011517437600 59468910430600 62712669181360 63114305672000 63404353032625 64926057505408 67072373456000 68983936099496 69963424036000 71264396797000 73779610801600 74336138038250 78390836476700 81157571881760 86229920124370 86500233353600 92224513502000 95150256688960 97988545595875 100340270690176 101446964852200 103657304432000 108125291692000 114023034875200 118937820861200 125425338362720 126228611344000 126808706065250 137967872198992 139926848072000 142528793594000 147559221603200 148672276076500 156781672953400 162315143763520 172459840248740 184449027004000 190300513377920 195977091191750 202893929704400 215574800310925 216250583384000 228046069750400 237875641722400 250850676725440 253617412130500 275935744397984 279853696144000 285057587188000 297344552153000 313563345906800 324630287527040 344919680497480 368898054008000 391954182383500 405787859408800 431149600621850 432501166768000 475751283444800 501701353450880 507234824261000 551871488795968 570115174376000 594689104306000 627126691813600 689839360994960 737796108016000 783908364767000 811575718817600 862299201243700 951502566889600 1014469648522000 1077874001554625 1103742977591936 1140230348752000 1189378208612000 1254253383627200 1379678721989920 1567816729534000 1623151437635200 1724598402487400 2028939297044000 2155748003109250 2378756417224000 2508506767254400 2759357443979840 3135633459068000 3449196804974800 4057878594088000 4311496006218500 4757512834448000 5518714887959680 6271266918136000 6898393609949600 8115757188176000 8622992012437000 12542533836272000 13796787219899200 17245984024874000 27593574439798400 34491968049748000 68983936099496000 137967872198992000
- Sum of all divisors σ(n): 413672941931418000
- Sum of proper divisors (its aliquot sum) s(n): 275705069732426000
- 137967872198992000 is an abundant number, because the sum of its proper divisors (275705069732426000) is greater than itself. Its abundance is 137737197533434000
Bases of 137967872198992000
- Binary: 1111010100010100100001100011111001101011001100000100000002
- Hexadecimal: 0x1EA290C7CD66080
- Base-36: 11QHJ1HUDRWG
Squares and roots of 137967872198992000
- 137967872198992000 squared (1379678721989920002) is 19035133759117389609645816064000000
- 137967872198992000 cubed (1379678721989920003) is 2626236901768626179632031509256136038207488000000000
-
The
square root of 137967872198992000 is 371440267.3364749771 -
The
cube root of 137967872198992000 is 516724.8194168831
Scales and comparisons
How big is 137967872198992000?- 137,967,872,198,992,000 seconds is equal to 4,386,951,573 years, 14 weeks, 3 days, 12 hours, 26 minutes, 40 seconds.
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To count from 1 to 137,967,872,198,992,000 would take you about thirteen billion, one hundred sixty million, eight hundred fifty-four thousand, seven hundred nineteen 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 137967872198992000 cubic inches would be around 43060.4 feet tall.
Recreational maths with 137967872198992000
- 137967872198992000 backwards is 000299891278769731
- 137967872198992000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137967872198992000's digits is 88
- More coming soon!
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The information we have on file for 137967872198992000 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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