137141109712080000
137,141,109,712,080,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137141109712080000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1080 divisors.
137141109712080000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137141109712080000:
27 × 32 × 54 × 6072 × 7192
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 607 × 607 × 719 × 719)See below for interesting mathematical facts about the number 137141109712080000 from the Numbermatics database.
Names of 137141109712080000
- Cardinal: 137141109712080000 can be written as One hundred thirty-seven quadrillion, one hundred forty-one trillion, one hundred nine billion, seven hundred twelve million, eighty thousand.
Scientific notation
- Scientific notation: 1.3714110971208 × 1017
Factors of 137141109712080000
Divisors of 137141109712080000
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 288 300 320 360 375 384 400 450 480 500 576 600 607 625 640 719 720 750 800 900 960 1000 1125 1152 1200 1214 1250 1438 1440 1500 1600 1800 1821 1875 1920 2000 2157 2250 2400 2428 2500 2876 2880 3000 3035 3200 3595 3600 3642 3750 4000 4314 4500 4800 4856 5000 5463 5625 5752 5760 6000 6070 6471 7190 7200 7284 7500 8000 8628 9000 9105 9600 9712 10000 10785 10926 11250 11504 12000 12140 12942 14380 14400 14568 15000 15175 16000 17256 17975 18000 18210 19424 20000 21570 21852 22500 23008 24000 24280 25884 27315 28760 28800 29136 30000 30350 32355 34512 35950 36000 36420 38848 40000 43140 43704 45000 45525 46016 48000 48560 51768 53925 54630 57520 58272 60000 60700 64710 69024 71900 72000 72840 75875 77696 80000 86280 87408 89875 90000 91050 92032 97120 103536 107850 109260 115040 116544 120000 121400 129420 136575 138048 143800 144000 145680 151750 161775 172560 174816 179750 180000 182100 194240 207072 215700 218520 227625 230080 233088 240000 242800 258840 269625 273150 276096 287600 291360 303500 323550 345120 349632 359500 360000 364200 368449 379375 388480 414144 431400 436433 437040 449375 455250 460160 485600 516961 517680 539250 546300 575200 582720 607000 647100 682875 690240 699264 719000 720000 728400 736898 758750 808875 828288 862800 872866 874080 898750 910500 971200 1033922 1035360 1078500 1092600 1105347 1138125 1150400 1165440 1214000 1294200 1309299 1348125 1365750 1380480 1438000 1456800 1473796 1517500 1550883 1617750 1725600 1745732 1748160 1797500 1821000 1842245 1942400 2067844 2070720 2157000 2182165 2185200 2210694 2276250 2300800 2428000 2584805 2588400 2618598 2696250 2731500 2876000 2913600 2947592 3035000 3101766 3235500 3316041 3414375 3451200 3491464 3496320 3595000 3642000 3684490 3927897 4044375 4135688 4141440 4314000 4364330 4370400 4421388 4552500 4652649 4856000 5169610 5176800 5237196 5392500 5463000 5526735 5752000 5827200 5895184 6070000 6203532 6471000 6546495 6632082 6828750 6902400 6982928 7190000 7284000 7368980 7754415 7855794 8088750 8271376 8628000 8728660 8740800 8842776 9105000 9211225 9305298 9712000 10339220 10353600 10474392 10785000 10910825 10926000 11053470 11504000 11790368 12140000 12407064 12924025 12942000 13092990 13264164 13657500 13965856 14380000 14568000 14737960 15508830 15711588 16177500 16542752 16580205 17256000 17457320 17481600 17685552 18210000 18422450 18610596 19639485 20678440 20707200 20948784 21570000 21821650 21852000 22106940 23263245 23580736 24280000 24814128 25848050 25884000 26185980 26528328 27315000 27633675 27931712 28760000 29136000 29475920 31017660 31423176 32355000 32732475 33085504 33160410 34512000 34914640 35371104 36420000 36844900 37221192 38772075 39278970 41356880 41897568 43140000 43643300 43704000 44213880 46056125 46526490 47161472 48560000 49628256 51696100 51768000 52371960 53056656 54554125 54630000 55267350 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120497405568 124070640000 125518130800 127159118880 132457415500 132641640000 141207897150 150621756960 152590942656 156897663500 157115880000 158948898600 165571769375 169545491840 180746108352 186105960000 188277196200 190473763489 190738678320 196122079375 198686123250 200829009280 211931864800 225932635440 235346495250 238423347900 251036261600 254318237760 264914831000 265283280000 282415794300 298029184875 301243513920 305181885312 313795327000 314231760000 317897797200 331143538750 353019742875 361492216704 372211920000 376554392400 380947526978 381477356640 392244158750 397372246500 423863729600 451865270880 470692990500 476846695800 496715308125 502072523200 508636475520 529829662000 564831588600 571421290467 588366238125 596058369750 602487027840 627590654000 635795594400 662287077500 706039485750 753108784800 761895053956 762954713280 784488317500 794744493000 847727459200 903730541760 941385981000 952368817445 953693391600 993430616250 1004145046400 1059659324000 1129663177200 1142842580934 1176732476250 1192116739500 1255181308000 1271591188800 1324574155000 1412078971500 1490145924375 1506217569600 1523790107912 1525909426560 1568976635000 1589488986000 1714263871401 1765098714375 1807461083520 1882771962000 1904737634890 1907386783200 1986861232500 2119318648000 2259326354400 2285685161868 2353464952500 2384233479000 2510362616000 2543182377600 2649148310000 2824157943000 2857106452335 2980291848750 3012435139200 3047580215824 3137953270000 3178977972000 3428527742802 3530197428750 3765543924000 3809475269780 3814773566400 3973722465000 4238637296000 4518652708800 4571370323736 4706929905000 4761844087225 4768466958000 5020725232000 5298296620000 5648315886000 5714212904670 5960583697500 6095160431648 6275906540000 6357955944000 6857055485604 7060394857500 7531087848000 7618950539560 7629547132800 7947444930000 8571319357005 9037305417600 9142740647472 9413859810000 9523688174450 9536933916000 10596593240000 11296631772000 11428425809340 11921167395000 12190320863296 12551813080000 12715911888000 13714110971208 14120789715000 14285532261675 15062175696000 15237901079120 15894889860000 17142638714010 18285481294944 18827719620000 19047376348900 19073867832000 21193186480000 22593263544000 22856851618680 23809220436125 23842334790000 24380641726592 25103626160000 27428221942416 28241579430000 28571064523350 30475802158240 31789779720000 34285277428020 36570962589888 37655439240000 38094752697800 38147735664000 42856596785025 45186527088000 45713703237360 47618440872250 47684669580000 54856443884832 56483158860000 57142129046700 60951604316480 63579559440000 68570554856040 71427661308375 73141925179776 75310878480000 76189505395600 85713193570050 91427406474720 95236881744500 95369339160000 109712887769664 112966317720000 114284258093400 119046102180625 121903208632960 137141109712080 142855322616750 152379010791200 171426387140100 182854812949440 190473763489000 190738678320000 214282983925125 219425775539328 225932635440000 228568516186800 238092204361250 274282219424160 285710645233500 304758021582400 342852774280200 357138306541875 365709625898880 380947526978000 428565967850250 457137032373600 476184408722500 548564438848320 571421290467000 609516043164800 685705548560400 714276613083750 761895053956000 857131935700500 914274064747200 952368817445000 1071414919625625 1097128877696640 1142842580934000 1371411097120800 1428553226167500 1523790107912000 1714263871401000 1828548129494400 1904737634890000 2142829839251250 2285685161868000 2742822194241600 2857106452335000 3047580215824000 3428527742802000 3809475269780000 4285659678502500 4571370323736000 5485644388483200 5714212904670000 6857055485604000 7618950539560000 8571319357005000 9142740647472000 11428425809340000 13714110971208000 15237901079120000 17142638714010000 22856851618680000 27428221942416000 34285277428020000 45713703237360000 68570554856040000 137141109712080000
- Sum of all divisors σ(n): 494641145766165255
- Sum of proper divisors (its aliquot sum) s(n): 357500036054085255
- 137141109712080000 is an abundant number, because the sum of its proper divisors (357500036054085255) is greater than itself. Its abundance is 220358926342005255
Bases of 137141109712080000
- Binary: 1111001110011100100011100110110000111110111001100100000002
- Hexadecimal: 0x1E7391CD87DCC80
- Base-36: 11ICGS1W1SW0
Squares and roots of 137141109712080000
- 137141109712080000 squared (1371411097120800002) is 18807683973060763300497926400000000
- 137141109712080000 cubed (1371411097120800003) is 2579306651179654806953894209714941030912000000000000
-
The
square root of 137141109712080000 is 370325680.6003061949 -
The
cube root of 137141109712080000 is 515690.6054817499
Scales and comparisons
How big is 137141109712080000?- 137,141,109,712,080,000 seconds is equal to 4,360,663,083 years, 28 weeks, 8 hours.
-
To count from 1 to 137,141,109,712,080,000 would take you about thirteen billion, eighty-one million, nine hundred eighty-nine thousand, two hundred fifty 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 137141109712080000 cubic inches would be around 42974.2 feet tall.
Recreational maths with 137141109712080000
- 137141109712080000 backwards is 000080217901141731
- 137141109712080000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 137141109712080000's digits is 45
- More coming soon!
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The information we have on file for 137141109712080000 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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