137966066396136000
137,966,066,396,136,000 is an even composite number composed of six prime numbers multiplied together.
137966066396136000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137966066396136000:
26 × 33 × 53 × 11 × 293 × 15432
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 29 × 29 × 29 × 1543 × 1543)See below for interesting mathematical facts about the number 137966066396136000 from the Numbermatics database.
Names of 137966066396136000
- Cardinal: 137966066396136000 can be written as One hundred thirty-seven quadrillion, nine hundred sixty-six trillion, sixty-six billion, three hundred ninety-six million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.37966066396136 × 1017
Factors of 137966066396136000
Divisors of 137966066396136000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 29 30 32 33 36 40 44 45 48 50 54 55 58 60 64 66 72 75 80 87 88 90 96 99 100 108 110 116 120 125 132 135 144 145 150 160 165 174 176 180 192 198 200 216 220 225 232 240 250 261 264 270 275 288 290 297 300 319 320 330 348 352 360 375 396 400 432 435 440 450 464 480 495 500 522 528 540 550 576 580 594 600 638 660 675 696 704 720 725 750 783 792 800 825 841 864 870 880 900 928 957 960 990 1000 1044 1056 1080 1100 1125 1160 1188 1200 1276 1305 1320 1350 1375 1392 1440 1450 1485 1500 1543 1566 1584 1595 1600 1650 1682 1728 1740 1760 1800 1856 1914 1980 2000 2088 2112 2160 2175 2200 2250 2320 2376 2400 2475 2523 2552 2610 2640 2700 2750 2784 2871 2880 2900 2970 3000 3086 3132 3168 3190 3300 3364 3375 3480 3520 3600 3625 3828 3915 3960 4000 4125 4176 4205 4320 4350 4400 4500 4629 4640 4752 4785 4800 4950 5046 5104 5220 5280 5400 5500 5568 5742 5800 5940 6000 6172 6264 6336 6380 6525 6600 6728 6750 6960 7200 7250 7425 7569 7656 7715 7830 7920 7975 8000 8250 8352 8410 8613 8640 8700 8800 9000 9251 9258 9280 9504 9570 9900 10092 10208 10440 10560 10800 10875 11000 11484 11600 11880 12000 12344 12375 12528 12615 12760 13050 13200 13456 13500 13887 13920 14355 14400 14500 14850 15138 15312 15430 15660 15840 15950 16500 16704 16820 16973 17226 17400 17600 18000 18502 18516 19008 19140 19575 19800 20184 20416 20880 21025 21600 21750 22000 22707 22968 23145 23200 23760 23925 24000 24389 24688 24750 25056 25230 25520 26100 26400 26912 27000 27753 27774 27840 28710 29000 29700 30276 30624 30860 31320 31680 31900 32625 33000 33640 33946 34452 34800 36000 37004 37032 37125 37845 38280 38575 39150 39600 39875 40368 41661 41760 42050 43065 43200 43500 44000 44747 45414 45936 46255 46290 46400 47520 47850 48778 49376 49500 50112 50460 50919 51040 52200 52800 53824 54000 55506 55548 57420 58000 59400 60552 61248 61720 62640 63075 63800 65250 66000 67280 67892 68904 69435 69600 71775 72000 73167 74008 74064 74250 75690 76560 77150 78300 79200 79750 80736 83259 83322 83520 84100 84865 86130 87000 88000 89494 90828 91872 92510 92580 95040 95700 97556 97875 98752 99000 100920 101838 102080 104400 105125 108000 111012 111096 113535 114840 115725 116000 118800 119625 121104 121945 123440 125280 126150 127600 130500 132000 134241 134560 135784 137808 138765 138870 139200 143550 146334 148016 148128 148500 151380 152757 153120 154300 156600 158400 159500 161472 166518 166644 168200 169730 172260 174000 178988 181656 183744 185020 185160 189225 191400 192875 195112 195750 198000 201840 203676 208305 208800 210250 215325 216000 219501 222024 222192 223735 227070 229680 231275 231450 232000 237600 239250 242208 243890 246880 249777 250560 252300 254595 255200 261000 264000 268279 268482 269120 271568 275616 277530 277740 287100 292668 296032 296256 297000 302760 305514 306240 308600 313200 315375 319000 333036 333288 336400 339460 344520 347175 348000 357976 358875 363312 365835 370040 370320 378450 382800 385750 390224 391500 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4354989469575 4405046819800 4470708567600 4505161520250 4556944986000 4645322100880 4757450565384 4805505621600 4955677672275 4967453964000 4971212712000 5109854310968 5126563109250 5225987363490 5286056183760 5406193824300 5468333983200 5506308524750 5574386521056 5588385709500 5656897224000 5748586099839 5766606745920 5806652626100 5946813206730 5960944756800 6006882027000 6075926648000 6271184836188 6343267420512 6387317888710 6562000779840 6607570229700 6757742280375 6835417479000 6967983151320 7048074911680 7208258432400 7258315782625 7451180946000 7456819068000 7664781466452 7838981045235 7929084275640 8009176036000 8128561032000 8202500974800 8259462787125 8361579781584 8649910118880 8709978939150 8810093639600 8941417135200 9010323040500 9113889972000 9290644201760 9514901130768 9580976833065 9611011243200 9911355344550 9934907928000 10219708621936 10253126218500 10451974726980 10572112367520 10812387648600 10936667966400 11012617049500 11148773042112 11176771419000 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33037851148500 33446319126336 34491516599034 34839915756600 35240374558400 36041292162000 38059604523072 38323907332260 39194905226175 39645421378200 40878834487744 41012504874000 41807898907920 43249550594400 43549894695750 44050468198000 44707085676000 45988688798712 46453221008800 47574505653840 47904884165325 48055056216000 49556776722750 50169478689504 51098543109680 52259873634900 52860561837600 54061938243000 54683339832000 55743865210560 57485860998390 58066526261000 59468132067300 61318251731616 62711848361880 63432674205120 63873178887100 65324842043625 66075702297000 68983033198068 69679831513200 72082584324000 74335165084125 76647814664520 78389810452350 79290842756400 79841473608875 82025009748000 83615797815840 86228791497585 86499101188800 87099789391500 88100936396000 89414171352000 91977377597424 92906442017600 95149011307680 95809768330650 99113553445500 100338957379008 102197086219360 104519747269800 105721123675200 108123876486000 114971721996780 116133052522000 118936264134600 122636503463232 125423696723760 127746357774200 130649684087250 132151404594000 137966066396136 139359663026400 143714652495975 144165168648000 148670330168250 153295629329040 156779620904700 158581685512800 159682947217750 164050019496000 167231595631680 172457582995170 174199578783000 176201872792000 183954755194848 190298022615360 191619536661300 195974526130875 198227106891000 204394172438720 209039494539600 216247752972000 229943443993560 232266105044000 237872528269200 239524420826625 250847393447520 255492715548400 261299368174500 264302809188000 275932132792272 278719326052800 287429304991950 297340660336500 306591258658080 313559241809400 317163371025600 319365894435500 344915165990340 348399157566000 367909510389696 383239073322600 391949052261750 396454213782000 418078989079200 431143957487925 432495505944000 459886887987120 464532210088000 475745056538400 479048841653250 501694786895040 510985431096800 522598736349000 528605618376000 551864265584544 574858609983900 594681320673000 613182517316160 627118483618800 638731788871000 689830331980680 696798315132000 718573262479875 766478146645200 783898104523500 792908427564000 836157978158400 862287914975850 919773775974240 951490113076800 958097683306500 1021970862193600 1045197472698000 1103728531169088 1149717219967800 1189362641346000 1254236967237600 1277463577742000 1379660663961360 1393596630264000 1437146524959750 1532956293290400 1567796209047000 1585816855128000 1724575829951700 1839547551948480 1916195366613000 2090394945396000 2155719787439625 2299434439935600 2378725282692000 2508473934475200 2554927155484000 2759321327922720 2874293049919500 3065912586580800 3135592418094000 3449151659903400 3832390733226000 4180789890792000 4311439574879250 4598868879871200 4757450565384000 5109854310968000 5518642655845440 5748586099839000 6271184836188000 6898303319806800 7664781466452000 8622879149758500 9197737759742400 11497172199678000 12542369672376000 13796606639613600 15329562932904000 17245758299517000 22994344399356000 27593213279227200 34491516599034000 45988688798712000 68983033198068000 137966066396136000
- Sum of all divisors σ(n): 572290197662476800
- Sum of proper divisors (its aliquot sum) s(n): 434324131266340800
- 137966066396136000 is an abundant number, because the sum of its proper divisors (434324131266340800) is greater than itself. Its abundance is 296358064870204800
Bases of 137966066396136000
- Binary: 1111010100010011101101000000010101001100110000010010000002
- Hexadecimal: 0x1EA27680A998240
- Base-36: 11QGVZX5ZIO0
Squares and roots of 137966066396136000
- 137966066396136000 squared (1379660663961360002) is 19034635476823007198875730496000000
- 137966066396136000 cubed (1379660663961360003) is 2626133782021608840765322939143185111763456000000000
-
The
square root of 137966066396136000 is 371437836.5166047539 -
The
cube root of 137966066396136000 is 516722.5650098467
Scales and comparisons
How big is 137966066396136000?- 137,966,066,396,136,000 seconds is equal to 4,386,894,154 years, 17 weeks, 2 days, 12 hours.
-
To count from 1 to 137,966,066,396,136,000 would take you about thirteen billion, one hundred sixty million, six hundred eighty-two thousand, four hundred sixty-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 137966066396136000 cubic inches would be around 43060.2 feet tall.
Recreational maths with 137966066396136000
- 137966066396136000 backwards is 000631693660669731
- 137966066396136000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137966066396136000's digits is 72
- More coming soon!
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Cite this page
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"Number 137966066396136000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 137966066396136000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/137966066396136000/
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The information we have on file for 137966066396136000 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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