40149134221968000
40,149,134,221,968,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 40149134221968000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3072 divisors.
40149134221968000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 40149134221968000:
27 × 37 × 53 × 193 × 4092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 19 × 19 × 409 × 409)See below for interesting mathematical facts about the number 40149134221968000 from the Numbermatics database.
Names of 40149134221968000
- Cardinal: 40149134221968000 can be written as Forty quadrillion, one hundred forty-nine trillion, one hundred thirty-four billion, two hundred twenty-one million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.0149134221968 × 1016
Factors of 40149134221968000
Divisors of 40149134221968000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 108 114 120 125 128 135 144 150 152 160 162 171 180 190 192 200 216 225 228 240 243 250 270 285 288 300 304 320 324 342 360 361 375 380 384 400 405 409 432 450 456 475 480 486 500 513 540 570 576 600 608 640 648 675 684 720 722 729 750 760 800 810 818 855 864 900 912 950 960 972 1000 1026 1080 1083 1125 1140 1152 1200 1215 1216 1227 1296 1350 1368 1425 1440 1444 1458 1500 1520 1539 1600 1620 1636 1710 1728 1800 1805 1824 1900 1920 1944 2000 2025 2045 2052 2160 2166 2187 2250 2280 2375 2400 2430 2432 2454 2565 2592 2700 2736 2850 2880 2888 2916 3000 3040 3078 3200 3240 3249 3272 3375 3420 3456 3600 3610 3645 3648 3681 3800 3888 4000 4050 4090 4104 4275 4320 4332 4374 4500 4560 4617 4750 4800 4860 4908 5130 5184 5400 5415 5472 5700 5760 5776 5832 6000 6075 6080 6135 6156 6480 6498 6544 6750 6840 6859 7125 7200 7220 7290 7296 7362 7600 7695 7771 7776 8000 8100 8180 8208 8550 8640 8664 8748 9000 9025 9120 9234 9500 9600 9720 9747 9816 10125 10225 10260 10368 10800 10830 10935 10944 11043 11400 11552 11664 12000 12150 12160 12270 12312 12825 12960 12996 13088 13500 13680 13718 13851 14250 14400 14440 14580 14724 15200 15390 15542 15552 16000 16200 16245 16360 16416 17100 17280 17328 17496 18000 18050 18225 18240 18405 18468 19000 19440 19494 19632 20250 20450 20520 20577 21375 21600 21660 21870 21888 22086 22800 23085 23104 23313 23328 24000 24300 24540 24624 25650 25920 25992 26176 27000 27075 27360 27436 27702 28500 28800 28880 29160 29241 29448 30375 30400 30675 30780 31084 31104 32400 32490 32720 32832 33129 34200 34295 34656 34992 36000 36100 36450 36480 36810 36936 38000 38475 38855 38880 38988 39264 40500 40900 41040 41154 41553 42750 43200 43320 43740 44172 45125 45600 46170 46208 46626 46656 48000 48600 48735 49080 49248 51125 51300 51840 51984 52352 54000 54150 54675 54720 54872 55215 55404 57000 57760 58320 58482 58896 60750 60800 61350 61560 61731 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22243287657600 22305074567760 23234452674750 23479025860800 24541035588000 24783416186400 25093208888730 26087806512000 26413904093400 26766089481312 27537129096000 27804109572000 27881343209700 28174831032960 29348782326000 29740099423680 30979270233000 32721380784000 33017380116750 33044554915200 33457611851640 34851679012125 35218538791200 35688119308416 37072146096000 37175124279600 39131709768000 40149134221968 41305693644000 41822014814550 42262246549440 44023173489000 44610149135520 46468905349500 46958051721600 49082071176000 49566832372800 50186417777460 52827808186800 53532178962624 55074258192000 55608219144000 55762686419400 58697564652000 59480198847360 61958540466000 62733022221825 66034760233500 66915223703280 69703358024250 70437077582400 74350248559200 78263419536000 80298268443936 82611387288000 83644029629100 84524493098880 88046346978000 89220298271040 92937810699000 98164142352000 99133664745600 100372835554920 104555037036375 105655616373600 107064357925248 111216438288000 111525372838800 117395129304000 123917080932000 125466044443650 132069520467000 133830447406560 139406716048500 140874155164800 148700497118400 160596536887872 165222774576000 167288059258200 176092693956000 178440596542080 185875621398000 200745671109840 209110074072750 211311232747200 223050745677600 234790258608000 247834161864000 250932088887300 264139040934000 267660894813120 278813432097000 297400994236800 313665111109125 321193073775744 334576118516400 352185387912000 371751242796000 401491342219680 418220148145500 422622465494400 446101491355200 495668323728000 501864177774600 528278081868000 535321789626240 557626864194000 627330222218250 669152237032800 704370775824000 743502485592000 802982684439360 836440296291000 892202982710400 1003728355549200 1056556163736000 1115253728388000 1254660444436500 1338304474065600 1487004971184000 1605965368878720 1672880592582000 2007456711098400 2113112327472000 2230507456776000 2509320888873000 2676608948131200 3345761185164000 4014913422196800 4461014913552000 5018641777746000 6691522370328000 8029826844393600 10037283555492000 13383044740656000 20074567110984000 40149134221968000
- Sum of all divisors σ(n): 158411586430656000
- Sum of proper divisors (its aliquot sum) s(n): 118262452208688000
- 40149134221968000 is an abundant number, because the sum of its proper divisors (118262452208688000) is greater than itself. Its abundance is 78113317986720000
Bases of 40149134221968000
- Binary: 100011101010001101101100110000110101011100000010100000002
- Hexadecimal: 0x8EA36CC3570280
- Base-36: AZBOHMVU000
Squares and roots of 40149134221968000
- 40149134221968000 squared (401491342219680002) is 1611952978773602000693793024000000
- 40149134221968000 cubed (401491342219680003) is 64718516504282481180942077978841065951232000000000
-
The
square root of 40149134221968000 is 200372488.6853681817 -
The
cube root of 40149134221968000 is 342419.6887640095
Scales and comparisons
How big is 40149134221968000?- 40,149,134,221,968,000 seconds is equal to 1,276,618,278 years, 43 weeks, 2 days.
-
To count from 1 to 40,149,134,221,968,000 would take you about three billion, eight hundred twenty-nine million, eight hundred fifty-four thousand, eight hundred thirty-six 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 40149134221968000 cubic inches would be around 28535 feet tall.
Recreational maths with 40149134221968000
- 40149134221968000 backwards is 00086912243194104
- 40149134221968000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40149134221968000's digits is 54
- More coming soon!
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"Number 40149134221968000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 40149134221968000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/40149134221968000/
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The information we have on file for 40149134221968000 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!
Keywords: Divisors of 40149134221968000, math, Factors of 40149134221968000, curriculum, school, college, exams, university, Prime factorization of 40149134221968000, STEM, science, technology, engineering, physics, economics, calculator, forty quadrillion, one hundred forty-nine trillion, one hundred thirty-four billion, two hundred twenty-one million, nine hundred sixty-eight thousand.