137468060789248000
137,468,060,789,248,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 137468060789248000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2496 divisors.
137468060789248000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, four hundred ninety-six divisors.
Prime factorization of 137468060789248000:
212 × 53 × 73 × 372 × 833
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 37 × 37 × 83 × 83 × 83)See below for interesting mathematical facts about the number 137468060789248000 from the Numbermatics database.
Names of 137468060789248000
- Cardinal: 137468060789248000 can be written as One hundred thirty-seven quadrillion, four hundred sixty-eight trillion, sixty billion, seven hundred eighty-nine million, two hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.37468060789248 × 1017
Factors of 137468060789248000
Divisors of 137468060789248000
- Number of divisors d(n): 2496
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 37 40 49 50 56 64 70 74 80 83 98 100 112 125 128 140 148 160 166 175 185 196 200 224 245 250 256 259 280 296 320 332 343 350 370 392 400 415 448 490 500 512 518 560 581 592 640 664 686 700 740 784 800 830 875 896 925 980 1000 1024 1036 1120 1162 1184 1225 1280 1295 1328 1369 1372 1400 1480 1568 1600 1660 1715 1750 1792 1813 1850 1960 2000 2048 2072 2075 2240 2324 2368 2450 2560 2590 2656 2738 2744 2800 2905 2960 3071 3136 3200 3320 3430 3500 3584 3626 3700 3920 4000 4067 4096 4144 4150 4480 4625 4648 4736 4900 5120 5180 5312 5476 5488 5600 5810 5920 6125 6142 6272 6400 6475 6640 6845 6860 6889 7000 7168 7252 7400 7840 8000 8134 8288 8300 8575 8960 9065 9250 9296 9472 9583 9800 10240 10360 10375 10624 10952 10976 11200 11620 11840 12250 12284 12544 12691 12800 12950 13280 13690 13720 13778 14000 14336 14504 14525 14800 15355 15680 16000 16268 16576 16600 17150 17920 18130 18500 18592 18944 19166 19600 20335 20480 20720 20750 21248 21497 21904 21952 22400 23240 23680 24500 24568 25088 25382 25600 25900 26560 27380 27440 27556 28000 28469 28672 29008 29050 29600 30710 31360 32000 32375 32536 33152 33200 34225 34300 34445 35840 36260 37000 37184 37888 38332 39200 40670 41440 41500 42496 42875 42994 43808 43904 44800 45325 46480 47360 47915 48223 49000 49136 50176 50764 51200 51800 53120 54760 54880 55112 56000 56938 58016 58100 59200 61420 62720 63455 64000 64750 65072 66304 66400 67081 68450 68600 68890 71680 72520 72625 74000 74368 75776 76664 76775 78400 81340 82880 83000 84992 85750 85988 87616 87808 89600 90650 92960 94720 95830 96446 98000 98272 100352 101528 101675 102400 103600 106240 107485 109520 109760 110224 112000 113627 113876 116032 116200 118400 122840 125440 126910 128000 129500 130144 132608 132800 134162 136900 137200 137780 142345 143360 145040 145250 148000 148736 150479 151552 153328 153550 156800 162680 165760 166000 169984 171125 171500 171976 172225 175232 175616 179200 181300 185920 189440 191660 192892 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913536512000 924242018000 928838248576 946423826432 947794131200 958901093675 965738598400 997735961600 1001953795840 1004149457920 1024642304000 1035151060160 1036649831000 1056276592000 1061529426944 1073969224916 1083193292800 1095886964200 1119082227200 1161047810720 1183029783040 1184742664000 1207173248000 1209818624000 1227393399904 1247169952000 1252442244800 1255186822400 1278951116800 1293938825200 1326911783680 1342461531145 1352034037760 1353991616000 1369858705250 1398852784000 1402735314176 1425337088000 1434499225600 1451309763400 1478787228800 1516470609920 1534241749880 1565552806000 1568983528000 1598688896000 1603126073344 1617423531500 1656241696256 1658639729600 1690042547200 1753419142720 1790531563520 1793124032000 1814137204250 1848484036000 1857676497152 1892847652864 1895588262400 1917802187350 1995471923200 2003907591680 2008298915840 2049284608000 2070302120320 2073299662000 2112553184000 2123058853888 2147938449832 2166386585600 2191773928400 2238164454400 2322095621440 2366059566080 2369485328000 2414346496000 2454786799808 2494339904000 2504884489600 2510373644800 2587877650400 2653823567360 2684923062290 2707983232000 2739717410500 2797705568000 2805470628352 2850674176000 2868998451200 2902619526800 2957574457600 3032941219840 3068483499760 3131105612000 3137967056000 3197377792000 3206252146688 3234847063000 3312483392512 3317279459200 3380085094400 3506838285440 3586248064000 3628274408500 3696968072000 3715352994304 3791176524800 3835604374700 3990943846400 4007815183360 4016597831680 4140604240640 4146599324000 4225106368000 4246117707776 4295876899664 4383547856800 4476328908800 4644191242880 4732119132160 4738970656000 4794505468375 4828692992000 4909573599616 4988679808000 5009768979200 5020747289600 5175755300800 5307647134720 5369846124580 5415966464000 5479434821000 5595411136000 5610941256704 5805239053600 5915148915200 6136966999520 6262211224000 6275934112000 6394755584000 6469694126000 6624966785024 6634558918400 6712307655725 6760170188800 7013676570880 7172496128000 7256548817000 7393936144000 7430705988608 7582353049600 7671208749400 8015630366720 8281208481280 8293198648000 8450212736000 8591753799328 8767095713600 8952657817600 9288382485760 9464238264320 9477941312000 9589010936750 9819147199232 9977359616000 10019537958400 10041494579200 10351510601600 10615294269440 10739692249160 10831932928000 10958869642000 11190822272000 11221882513408 11610478107200 11830297830400 12273933999040 12524422448000 12551868224000 12939388252000 13249933570048 13269117836800 13424615311450 14027353141760 14344992256000 14513097634000 14787872288000 14861411977216 15164706099200 15342417498800 16031260733440 16562416962560 16586397296000 16900425472000 17183507598656 17534191427200 18576764971520 18955882624000 19178021873500 19638294398464 19954719232000 20039075916800 20082989158400 20703021203200 21230588538880 21479384498320 21917739284000 22381644544000 22443765026816 23220956214400 23660595660800 24547867998080 25048844896000 25103736448000 25878776504000 26538235673600 26849230622900 28054706283520 29026195268000 29575744576000 29722823954432 30684834997600 33124833925120 33172794592000 33561538278625 33800850944000 34367015197312 35068382854400 37153529943040 37911765248000 38356043747000 39276588796928 40078151833600 41406042406400 42958768996640 43835478568000 44763289088000 46441912428800 47321191321600 49095735996160 50097689792000 50207472896000 51757553008000 53076471347200 53698461245800 56109412567040 58052390536000 59151489152000 61369669995200 66249667850240 66345589184000 67123076557250 68734030394624 70136765708800 74307059886080 75823530496000 76712087494000 78553177593856 80156303667200 82812084812800 85917537993280 87670957136000 92883824857600 98191471992320 100195379584000 100414945792000 103515106016000 106152942694400 107396922491600 112218825134080 116104781072000 118302978304000 122739339990400 132691178368000 134246153114500 137468060789248 140273531417600 148614119772160 153424174988000 157106355187712 165624169625600 171835075986560 175341914272000 185767649715200 196382943984640 200390759168000 207030212032000 214793844983200 232209562144000 236605956608000 245478679980800 265382356736000 268492306229000 274936121578496 280547062835200 306848349976000 331248339251200 343670151973120 350683828544000 371535299430400 392765887969280 400781518336000 414060424064000 429587689966400 464419124288000 490957359961600 530764713472000 536984612458000 549872243156992 561094125670400 613696699952000 687340303946240 701367657088000 743070598860800 785531775938560 828120848128000 859175379932800 928838248576000 981914719923200 1073969224916000 1099744486313984 1227393399904000 1374680607892480 1402735314176000 1656241696256000 1718350759865600 1857676497152000 1963829439846400 2147938449832000 2454786799808000 2749361215784960 2805470628352000 3436701519731200 3715352994304000 3927658879692800 4295876899664000 4909573599616000 5498722431569920 6873403039462400 8591753799328000 9819147199232000 13746806078924800 17183507598656000 19638294398464000 27493612157849600 34367015197312000 68734030394624000 137468060789248000
- Sum of all divisors σ(n): 416211543453888000
- Sum of proper divisors (its aliquot sum) s(n): 278743482664640000
- 137468060789248000 is an abundant number, because the sum of its proper divisors (278743482664640000) is greater than itself. Its abundance is 141275421875392000
Bases of 137468060789248000
- Binary: 1111010000110001001111001000100110100111000010000000000002
- Hexadecimal: 0x1E86279134E1000
- Base-36: 11LKCZAXROXS
Squares and roots of 137468060789248000
- 137468060789248000 squared (1374680607892480002) is 18897467737156383460672405504000000
- 137468060789248000 cubed (1374680607892480003) is 2597798243654266567569923213736976939220992000000000
-
The
square root of 137468060789248000 is 370766855.0305542077 -
The
cube root of 137468060789248000 is 516100.0907399137
Scales and comparisons
How big is 137468060789248000?- 137,468,060,789,248,000 seconds is equal to 4,371,059,116 years, 24 weeks, 2 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 137,468,060,789,248,000 would take you about thirteen billion, one hundred thirteen million, one hundred seventy-seven thousand, three hundred forty-nine 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 137468060789248000 cubic inches would be around 43008.3 feet tall.
Recreational maths with 137468060789248000
- 137468060789248000 backwards is 000842987060864731
- The number of decimal digits it has is: 18
- The sum of 137468060789248000's digits is 73
- More coming soon!
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"Number 137468060789248000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 137468060789248000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/137468060789248000/
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The information we have on file for 137468060789248000 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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