137968116000
137,968,116,000 is an even composite number composed of eight prime numbers multiplied together.
137968116000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 137968116000:
25 × 3 × 53 × 11 × 13 × 37 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 13 × 37 × 41 × 53)See below for interesting mathematical facts about the number 137968116000 from the Numbermatics database.
Names of 137968116000
- Cardinal: 137968116000 can be written as One hundred thirty-seven billion, nine hundred sixty-eight million, one hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.37968116 × 1011
Factors of 137968116000
Divisors of 137968116000
- Number of divisors d(n): 1536
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 37 39 40 41 44 48 50 52 53 55 60 65 66 74 75 78 80 82 88 96 100 104 106 110 111 120 123 125 130 132 143 148 150 156 159 160 164 165 176 185 195 200 205 208 212 220 222 240 246 250 260 264 265 275 286 296 300 312 318 325 328 330 352 370 375 390 400 407 410 416 424 429 440 444 451 480 481 492 500 520 528 530 533 550 555 572 583 592 600 615 624 636 650 656 660 689 715 740 750 780 795 800 814 820 825 848 858 880 888 902 925 962 975 984 1000 1025 1040 1056 1060 1066 1100 1110 1144 1166 1184 1200 1221 1230 1248 1272 1300 1312 1320 1325 1353 1375 1378 1430 1443 1480 1500 1517 1560 1590 1599 1625 1628 1640 1650 1696 1716 1749 1760 1776 1804 1850 1924 1950 1961 1968 2000 2035 2050 2067 2080 2120 2132 2145 2173 2200 2220 2255 2288 2332 2400 2405 2442 2460 2544 2600 2640 2650 2665 2706 2750 2756 2775 2860 2886 2915 2960 3000 3034 3075 3120 3180 3198 3250 3256 3280 3300 3432 3445 3498 3552 3575 3608 3700 3848 3900 3922 3936 3975 4000 4070 4100 4125 4134 4240 4264 4290 4346 4400 4440 4510 4551 4576 4625 4664 4810 4875 4884 4920 5088 5125 5200 5280 5291 5300 5330 5412 5500 5512 5550 5720 5772 5830 5863 5883 5920 6000 6068 6105 6150 6240 6360 6396 6500 6512 6519 6560 6600 6625 6765 6864 6890 6996 7150 7215 7216 7400 7579 7585 7696 7800 7844 7950 7995 8140 8200 8250 8268 8480 8528 8580 8692 8745 8800 8880 9020 9102 9250 9328 9620 9750 9768 9805 9840 10175 10250 10335 10400 10582 10600 10660 10725 10824 10865 11000 11024 11100 11275 11440 11544 11660 11726 11766 12000 12025 12136 12210 12300 12720 12792 13000 13024 13038 13200 13250 13325 13530 13728 13780 13875 13992 14300 14430 14432 14575 14800 15158 15170 15375 15392 15600 15688 15873 15900 15990 16280 16400 16500 16536 16687 17056 17160 17225 17384 17490 17589 17760 17875 18040 18204 18500 18656 19240 19500 19536 19610 19680 19721 19875 20350 20500 20670 21164 21200 21320 21450 21571 21648 21730 22000 22048 22200 22550 22737 22755 22880 23088 23320 23452 23532 23903 24050 24272 24420 24600 25440 25493 25584 26000 26076 26400 26455 26500 26650 27060 27560 27750 27984 28249 28600 28860 29150 29315 29415 29600 30316 30340 30525 30750 31200 31376 31746 31800 31980 32560 32595 32800 33000 33072 33374 33825 34320 34450 34768 34980 35178 35750 36075 36080 36408 37000 37895 37925 38480 39000 39072 39220 39442 39750 39975 40700 41000 41340 42328 42400 42640 42900 43142 43296 43460 43725 44000 44400 45100 45474 45510 46176 46640 46904 47064 47806 48100 48544 48840 49025 49200 50061 50875 50986 51168 51675 52000 52152 52910 53000 53300 53625 54120 54325 55120 55500 55968 56375 56498 57200 57720 58300 58630 58830 59163 60125 60632 60680 61050 61500 62752 63492 63600 63960 64713 65120 65190 66000 66144 66625 66748 67650 68640 68900 69536 69960 70356 71500 71709 72150 72160 72816 72875 74000 75790 75850 76479 76960 78000 78440 78884 79365 79500 79950 80401 81400 82000 82680 83435 84656 84747 85280 85800 86125 86284 86920 87450 87945 88800 90200 90948 91020 93280 93808 94128 95612 96200 97680 98050 98400 98605 100122 101750 101972 103350 104304 105820 106000 106600 107250 107855 108240 108650 110240 111000 112750 112996 113685 113775 114400 115440 116600 117260 117660 118326 119515 120250 121264 121360 122100 123000 126984 127200 127465 127920 129426 130380 132000 132275 133250 133496 135300 137800 139920 140712 141245 143000 143418 144300 145632 145750 146575 147075 148000 151580 151700 152625 152958 156000 156880 157768 158730 159000 159900 160802 162800 162975 164000 165360 166870 169125 169312 169494 171600 172250 172568 173840 174900 175890 180375 180400 181896 182040 187616 188256 189475 189625 191224 192400 195360 196100 197210 199875 200244 203500 203944 206700 208608 211640 212000 213200 214500 215710 216480 216931 217300 218625 222000 225500 225992 227370 227550 230880 233200 234520 235320 236652 239030 240500 241203 242528 242720 244200 245125 246000 250305 253968 254930 255840 258375 258852 260760 264550 266500 266992 270600 271625 275600 279840 280423 281424 282490 286000 286836 288600 291500 293150 294150 295815 303160 303400 305250 305916 310739 313760 315536 317460 318000 319800 321604 323565 325600 325950 330720 333740 338250 338988 343200 344500 345136 347680 349800 351780 358545 360750 360800 363792 364080 378950 379250 382395 382448 384800 392200 394420 396825 399750 400488 402005 407000 407888 413400 417175 423280 423735 426400 429000 431420 433862 434600 437250 439725 444000 451000 451984 454740 455100 466400 469040 470640 473304 478060 481000 482406 488400 490250 492000 493025 500610 507936 509860 516750 517704 521520 529100 533000 533984 539275 541200 543250 551200 560846 562848 564980 568425 568875 572000 573672 577200 583000 586300 588300 591630 597575 606320 606800 610500 611832 621478 631072 634920 636000 637325 639600 643208 647130 650793 651900 661375 667480 676500 677976 689000 690272 699600 703560 706225 717090 721500 727584 728160 732875 735375 757900 758500 764790 764896 784400 788840 793650 799500 800976 804010 814000 814875 815776 826800 834350 841269 846560 847470 858000 862840 867724 869200 874500 879450 884411 902000 903968 909480 910200 932217 938080 941280 946608 947375 956120 962000 964812 976800 980500 986050 1001220 1019720 1033500 1035408 1043040 1045213 1058200 1066000 1078550 1082400 1084655 1086500 1121692 1129960 1136850 1137750 1147344 1154400 1166000 1172600 1176600 1183260 1195150 1206015 1212640 1213600 1221000 1223664 1242956 1251525 1269840 1274650 1279200 1286416 1294260 1301586 1303800 1322750 1334960 1353000 1355952 1378000 1399200 1402115 1407120 1412450 1434180 1443000 1465750 1470750 1479075 1515800 1517000 1529580 1553695 1568800 1577680 1587300 1599000 1601952 1608020 1617825 1628000 1629750 1653600 1668700 1682538 1694940 1716000 1725680 1735448 1738400 1749000 1758900 1768822 1792725 1804000 1818960 1820400 1864434 1893216 1894750 1911975 1912240 1924000 1929624 1961000 1972100 1984125 2002440 2010025 2039440 2067000 2070816 2085875 2090426 2116400 2118675 2132000 2157100 2169310 2173000 2198625 2243384 2259920 2273700 2275500 2294688 2332000 2345200 2353200 2366520 2390300 2412030 2442000 2447328 2465125 2485912 2503050 2539680 2549300 2572832 2588520 2603172 2607600 2645500 2653233 2669920 2696375 2706000 2711904 2756000 2804230 2814240 2824900 2842125 2868360 2886000 2931500 2941500 2958150 2987875 3031600 3034000 3059160 3107390 3135639 3155360 3174600 3186625 3198000 3216040 3235650 3253965 3259500 3337400 3365076 3389880 3451360 3470896 3498000 3517800 3531125 3537644 3585450 3637920 3640800 3728868 3789500 3823950 3824480 3859248 3922000 3944200 3968250 4004880 4020050 4078880 4134000 4171750 4180852 4206345 4232800 4237350 4314200 4338620 4346000 4397250 4422055 4486768 4519840 4547400 4551000 4661085 4690400 4706400 4733040 4780600 4824060 4884000 4930250 4971824 5006100 5098600 5177040 5206344 5215200 5226065 5291000 5306466 5392750 5412000 5423275 5608460 5649800 5684250 5736720 5772000 5863000 5883000 5916300 5975750 6030075 6063200 6068000 6118320 6214780 6257625 6271278 6349200 6373250 6396000 6432080 6471300 6507930 6519000 6674800 6730152 6779760 6941792 6996000 7010575 7035600 7062250 7075288 7170900 7395375 7457736 7579000 7647900 7718496 7768475 7844000 7888400 7936500 8009760 8040100 8089125 8268000 8343500 8361704 8412690 8474700 8628400 8677240 8692000 8794500 8844110 8963625 8973536 9094800 9102000 9322170 9466080 9559875 9561200 9648120 9860500 9943648 10012200 10050125 10197200 10354080 10412688 10452130 10582000 10593375 10612932 10785500 10846550 11216920 11299600 11368500 11473440 11497343 11726000 11766000 11832600 11951500 12060150 12236640 12429560 12515250 12542556 12698400 12746500 12864160 12942600 13015860 13038000 13266165 13349600 13460304 13559520 14021150 14071200 14124500 14150576 14341800 14790750 14915472 15158000 15295800 15536950 15678195 15776800 15873000 16080200 16178250 16269825 16687000 16723408 16825380 16949400 17256800 17354480 17589000 17688220 17927250 18189600 18204000 18644340 19119750 19122400 19296240 19721000 20024400 20100250 20394400 20825376 20904260 21031725 21164000 21186750 21225864 21571000 21693100 22110275 22433840 22599200 22737000 22994686 23305425 23452000 23532000 23665200 23903000 24120300 24859120 25030500 25085112 25493000 25885200 26031720 26076000 26130325 26532330 26920608 27116375 28042300 28249000 28301152 28683600 29581500 29830944 30150375 30316000 30591600 31073900 31356390 31746000 32160400 32356500 32539650 33374000 33446816 33650760 33898800 34492029 34708960 35052875 35178000 35376440 35854500 37288680 38239500 38592480 38842375 39442000 40048800 40200500 41808520 42063450 42373500 42451728 43142000 43386200 44220550 44867680 45474000 45989372 46610850 47330400 47806000 48240600 49718240 50061000 50170224 50986000 51770400 52063440 52260650 53064660 54232750 56084600 56498000 57367200 57486715 59163000 60300750 61183200 62147800 62712780 63492000 64320800 64713000 65079300 66330825 66748000 67301520 67797600 68984058 70105750 70356000 70752880 71709000 74577360 76479000 77684750 78390975 78884000 80401000 81349125 83617040 84126900 84747000 84903456 86284000 86772400 88441100 90948000 91978744 93221700 95612000 96481200 100122000 100340448 101972000 104126880 104521300 105158625 106129320 108465500 110551375 112169200 112996000 114973430 116527125 118326000 120601500 124295600 125425560 129426000 130158600 130651625 132661650 134603040 137968116 140211500 141505760 143418000 149154720 152958000 155369500 156781950 160802000 162698250 167234080 168253800 169494000 172460145 173544800 176882200 183957488 186443400 192962400 200244000 209042600 210317250 212258640 216931000 221102750 224338400 229946860 233054250 236652000 241203000 248591200 250851120 258852000 260317200 261303250 265323300 275936232 280423000 286836000 287433575 305916000 310739000 313563900 321604000 325396500 331654125 336507600 338988000 344920290 353764400 367914976 372886800 391954875 418085200 420634500 424517280 433862000 442205500 459893720 466108500 482406000 501702240 520634400 522606500 530646600 551872464 560846000 574867150 621478000 627127800 650793000 663308250 673015200 689840580 707528800 745773600 783909750 836170400 841269000 862300725 867724000 884411000 919787440 932217000 964812000 1045213000 1061293200 1103744928 1121692000 1149734300 1242956000 1254255600 1301586000 1326616500 1379681160 1437167875 1567819500 1682538000 1724601450 1768822000 1839574880 1864434000 2090426000 2122586400 2299468600 2508511200 2603172000 2653233000 2759362320 2874335750 3135639000 3365076000 3449202900 3537644000 3728868000 4180852000 4311503625 4598937200 5306466000 5518724640 5748671500 6271278000 6898405800 8623007250 9197874400 10612932000 11497343000 12542556000 13796811600 17246014500 22994686000 27593623200 34492029000 45989372000 68984058000 137968116000
- Sum of all divisors σ(n): 569194988544
- Sum of proper divisors (its aliquot sum) s(n): 431226872544
- 137968116000 is an abundant number, because the sum of its proper divisors (431226872544) is greater than itself. Its abundance is 293258756544
Bases of 137968116000
- Binary: 100000000111111000101001100001001000002
- Hexadecimal: 0x201F8A6120
- Base-36: 1RDQNJMO
Squares and roots of 137968116000
- 137968116000 squared (1379681160002) is 19035201032589456000000
- 137968116000 cubed (1379681160003) is 2626250824147621845784896000000000
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The
square root of 137968116000 is 371440.5955196605 -
The
cube root of 137968116000 is 5167.2512378233
Scales and comparisons
How big is 137968116000?- 137,968,116,000 seconds is equal to 4,386 years, 49 weeks, 6 days, 4 hours, 40 minutes.
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To count from 1 to 137,968,116,000 would take you about eight thousand, seven hundred seventy-three 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 137968116000 cubic inches would be around 430.6 feet tall.
Recreational maths with 137968116000
- 137968116000 backwards is 000611869731
- The number of decimal digits it has is: 12
- The sum of 137968116000's digits is 42
- More coming soon!
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The information we have on file for 137968116000 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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