137085008664000
137,085,008,664,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 137085008664000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2688 divisors.
137085008664000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 137085008664000:
26 × 3 × 53 × 19 × 23 × 472 × 61 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 19 × 23 × 47 × 47 × 61 × 97)See below for interesting mathematical facts about the number 137085008664000 from the Numbermatics database.
Names of 137085008664000
- Cardinal: 137085008664000 can be written as One hundred thirty-seven trillion, eighty-five billion, eight million, six hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.37085008664 × 1014
Factors of 137085008664000
Divisors of 137085008664000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 19 20 23 24 25 30 32 38 40 46 47 48 50 57 60 61 64 69 75 76 80 92 94 95 96 97 100 114 115 120 122 125 138 141 150 152 160 183 184 188 190 192 194 200 228 230 235 240 244 250 276 282 285 291 300 304 305 320 345 366 368 375 376 380 388 400 437 456 460 470 475 480 485 488 500 552 564 570 575 582 600 608 610 690 705 732 736 750 752 760 776 800 874 893 912 915 920 940 950 960 970 976 1000 1081 1104 1128 1140 1150 1159 1164 1175 1200 1216 1220 1311 1380 1403 1410 1425 1455 1464 1472 1500 1504 1520 1525 1552 1600 1725 1748 1786 1824 1830 1840 1843 1880 1900 1940 1952 2000 2162 2185 2208 2209 2231 2256 2280 2300 2318 2328 2350 2375 2400 2425 2440 2622 2679 2760 2806 2820 2850 2867 2875 2910 2928 3000 3008 3040 3050 3104 3243 3450 3477 3496 3525 3572 3648 3660 3680 3686 3760 3800 3880 3904 4000 4209 4324 4370 4416 4418 4462 4465 4512 4559 4560 4575 4600 4636 4656 4700 4750 4800 4850 4880 5244 5358 5405 5520 5529 5612 5640 5700 5734 5750 5795 5820 5856 5875 5917 6000 6080 6100 6208 6486 6555 6627 6693 6900 6954 6992 7015 7050 7125 7144 7275 7320 7360 7372 7520 7600 7625 7760 8000 8418 8601 8625 8648 8740 8836 8924 8930 9024 9118 9120 9150 9200 9215 9272 9312 9400 9500 9700 9760 10488 10716 10810 10925 11040 11045 11058 11155 11224 11280 11400 11468 11500 11590 11640 11712 11750 11834 12000 12125 12200 12972 13110 13254 13386 13395 13677 13800 13908 13984 14030 14100 14250 14288 14335 14550 14640 14744 15040 15200 15250 15520 16215 16836 17202 17250 17296 17385 17480 17625 17672 17751 17848 17860 18236 18240 18300 18400 18430 18544 18624 18800 19000 19400 19520 20539 20976 21045 21432 21620 21850 22080 22090 22116 22310 22325 22448 22560 22795 22800 22875 22936 23000 23180 23280 23500 23668 24000 24250 24400 25944 26220 26508 26657 26772 26790 27025 27354 27600 27645 27816 27968 28060 28200 28500 28576 28670 28975 29100 29280 29488 29585 30400 30500 31040 32430 32775 33135 33465 33672 34404 34500 34592 34770 34960 35075 35250 35344 35502 35696 35720 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19605979500 19713116000 19867392560 20481848000 20685832000 20913044800 21135524000 22081992375 22472952240 22546876425 22847501444 23167992000 23333618496 23409325250 23554125200 23655739200 23840871072 23907396000 24050001520 24305852600 24427122000 24793816000 24834240700 25362628800 25585108000 26141306000 28091190300 28264950240 28559376805 28860001824 29167023120 29442656500 29569674000 29801088840 29963936320 30062501900 30069096000 30382315750 30702129600 30722772000 31028748000 31042800875 31369567200 31703286000 32569496000 34271252166 35113987875 35331187800 36075002280 36458778900 37190724000 37251361050 37454920400 37578127375 38377662000 38889364160 39211959000 39426232000 39734785120 42271048000 44163984750 44945904480 45093752850 45573473625 45695002888 46818650500 47108250400 47681742144 47814792000 48100003040 48611705200 48854244000 49668481400 51170216000 52282612000 56182380600 56529900480 57118753610 57720003648 58334046240 58885313000 59139348000 59602177680 60125003800 60764631500 61445544000 62057496000 62085601750 62739134400 63406572000 68542504332 70227975750 70662375600 72150004560 72917557800 74381448000 74502722100 74909840800 75156254750 76755324000 78423918000 79469570240 85678130415 88327969500 89891808960 90187505700 91146947250 91390005776 93128402625 93637301000 94216500800 96200006080 97223410400 97708488000 99336962800 104565224000 112364761200 112734382125 114237507220 116668092480 117770626000 118278696000 119204355360 120250007600 121529263000 124171203500 126813144000 137085008664 140455951500 141324751200 142796884025 144300009120 145835115600 149005444200 149819681600 150312509500 153510648000 156847836000 171356260830 176655939000 180375011400 182293894500 182780011552 186256805250 187274602000 194446820800 198673925600 224729522400 225468764250 228475014440 235541252000 238408710720 240500015200 243058526000 248342407000 274170017328 280911903000 282649502400 285593768050 288600018240 291670231200 298010888400 300625019000 313695672000 342712521660 353311878000 360750022800 364587789000 365560023104 372513610500 374549204000 397347851200 428390652075 449459044800 450937528500 456950028880 471082504000 481000030400 486117052000 496684814000 548340034656 561823806000 571187536100 583340462400 596021776800 601250038000 685425043320 706623756000 713984420125 721500045600 729175578000 745027221000 749098408000 856781304150 901875057000 913900057760 972234104000 993369628000 1096680069312 1123647612000 1142375072200 1192043553600 1202500076000 1370850086640 1413247512000 1427968840250 1443000091200 1458351156000 1490054442000 1713562608300 1803750114000 1827800115520 1986739256000 2141953260375 2247295224000 2284750144400 2405000152000 2741700173280 2855937680500 2916702312000 2980108884000 3427125216600 3607500228000 4283906520750 4569500288800 5483400346560 5711875361000 5960217768000 6854250433200 7215000456000 8567813041500 9139000577600 11423750722000 13708500866400 17135626083000 22847501444000 27417001732800 34271252166000 45695002888000 68542504332000 137085008664000
- Sum of all divisors σ(n): 521649592289280
- Sum of proper divisors (its aliquot sum) s(n): 384564583625280
- 137085008664000 is an abundant number, because the sum of its proper divisors (384564583625280) is greater than itself. Its abundance is 247479574961280
Bases of 137085008664000
- Binary: 111110010101101100101110011111011010101110000002
- Hexadecimal: 0x7CAD973ED5C0
- Base-36: 1CLBZEQ85C
Squares and roots of 137085008664000
- 137085008664000 squared (1370850086640002) is 18792299600408955064896000000
- 137085008664000 cubed (1370850086640003) is 2576142553538545343014454842258944000000000
-
The
square root of 137085008664000 is 11708330.7377268771 -
The
cube root of 137085008664000 is 51562.0277118585
Scales and comparisons
How big is 137085008664000?- 137,085,008,664,000 seconds is equal to 4,358,879 years, 12 weeks, 4 days, 17 hours, 20 minutes.
-
To count from 1 to 137,085,008,664,000 would take you about ten million, eight hundred ninety-seven thousand, one hundred ninety-eight 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 137085008664000 cubic inches would be around 4296.8 feet tall.
Recreational maths with 137085008664000
- 137085008664000 backwards is 000466800580731
- 137085008664000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137085008664000's digits is 48
- More coming soon!
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The information we have on file for 137085008664000 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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