135149412946464000
135,149,412,946,464,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 135149412946464000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3024 divisors.
135149412946464000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 135149412946464000:
28 × 36 × 53 × 7 × 31 × 51672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 31 × 5167 × 5167)See below for interesting mathematical facts about the number 135149412946464000 from the Numbermatics database.
Names of 135149412946464000
- Cardinal: 135149412946464000 can be written as One hundred thirty-five quadrillion, one hundred forty-nine trillion, four hundred twelve billion, nine hundred forty-six million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.35149412946464 × 1017
Factors of 135149412946464000
Divisors of 135149412946464000
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 32 35 36 40 42 45 48 50 54 56 60 62 63 64 70 72 75 80 81 84 90 93 96 100 105 108 112 120 124 125 126 128 135 140 144 150 155 160 162 168 175 180 186 189 192 200 210 216 217 224 225 240 243 248 250 252 256 270 279 280 288 300 310 315 320 324 336 350 360 372 375 378 384 400 405 420 432 434 448 450 465 480 486 496 500 504 525 540 558 560 567 576 600 620 630 640 648 651 672 675 700 720 729 744 750 756 768 775 800 810 837 840 864 868 875 896 900 930 945 960 972 992 1000 1008 1050 1080 1085 1116 1120 1125 1134 1152 1200 1215 1240 1260 1280 1296 1302 1344 1350 1395 1400 1440 1458 1488 1500 1512 1550 1575 1600 1620 1674 1680 1701 1728 1736 1750 1792 1800 1860 1890 1920 1944 1953 1984 2000 2016 2025 2100 2160 2170 2232 2240 2250 2268 2304 2325 2400 2430 2480 2511 2520 2592 2604 2625 2688 2700 2790 2800 2835 2880 2916 2976 3000 3024 3100 3150 3200 3240 3255 3348 3360 3375 3402 3456 3472 3500 3600 3645 3720 3780 3840 3875 3888 3906 3968 4000 4032 4050 4185 4200 4320 4340 4464 4480 4500 4536 4650 4725 4800 4860 4960 5022 5040 5103 5167 5184 5208 5250 5376 5400 5425 5580 5600 5670 5760 5832 5859 5952 6000 6048 6075 6200 6300 6400 6480 6510 6696 6720 6750 6804 6912 6944 6975 7000 7200 7290 7440 7533 7560 7750 7776 7812 7875 7936 8000 8064 8100 8370 8400 8505 8640 8680 8928 8960 9000 9072 9300 9450 9600 9720 9765 9920 10044 10080 10125 10206 10334 10368 10416 10500 10800 10850 11160 11200 11340 11520 11625 11664 11718 11904 12000 12096 12150 12400 12555 12600 12960 13020 13392 13440 13500 13608 13888 13950 14000 14175 14400 14580 14880 15066 15120 15500 15501 15552 15624 15750 16000 16128 16200 16275 16740 16800 17010 17280 17360 17577 17856 18000 18144 18225 18600 18900 19200 19440 19530 19840 20088 20160 20250 20412 20668 20736 20832 20925 21000 21600 21700 22320 22400 22599 22680 23250 23328 23436 23625 23808 24000 24192 24300 24800 25110 25200 25515 25835 25920 26040 26784 26880 27000 27125 27216 27776 27900 28000 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386141179847040 402230395674000 417127817736000 422341915457700 429045755385600 435965848214400 450498043154880 469268794953000 482676474808800 484406498016000 500553381283200 527927394322125 536307194232000 540597651785856 544957310268000 556170423648000 563122553943600 600664057539840 603345593511000 622808354592000 625691726604000 643568633078400 675747064732320 703903192429500 715076258976000 726609747024000 750830071924800 772282359694080 804460791348000 834255635472000 844683830915400 871931696428800 900996086309760 938537589906000 965352949617600 1001106762566400 1055854788644250 1072614388464000 1081195303571712 1089914620536000 1126245107887200 1206691187022000 1251383453208000 1287137266156800 1351494129464640 1407806384859000 1453219494048000 1501660143849600 1608921582696000 1668511270944000 1689367661830800 1801992172619520 1877075179812000 1930705899235200 2111709577288500 2145228776928000 2179829241072000 2252490215774400 2413382374044000 2502766906416000 2702988258929280 2815612769718000 3003320287699200 3217843165392000 3378735323661600 3754150359624000 3861411798470400 4223419154577000 4359658482144000 4504980431548800 4826764748088000 5005533812832000 5405976517858560 5631225539436000 6435686330784000 6757470647323200 7508300719248000 8446838309154000 9009960863097600 9653529496176000 11262451078872000 13514941294646400 15016601438496000 16893676618308000 19307058992352000 22524902157744000 27029882589292800 33787353236616000 45049804315488000 67574706473232000 135149412946464000
- Sum of all divisors σ(n): 595616346816132096
- Sum of proper divisors (its aliquot sum) s(n): 460466933869668096
- 135149412946464000 is an abundant number, because the sum of its proper divisors (460466933869668096) is greater than itself. Its abundance is 325317520923204096
Bases of 135149412946464000
- Binary: 1111000000010010110101100110011100100011011001101000000002
- Hexadecimal: 0x1E025ACCE46CD00
- Base-36: 10YQGV6TW000
Squares and roots of 135149412946464000
- 135149412946464000 squared (1351494129464640002) is 18265363819773851054130103296000000
- 135149412946464000 cubed (1351494129464640003) is 2468553197496019245259701796049856037945344000000000
-
The
square root of 135149412946464000 is 367626730.4569459623 -
The
cube root of 135149412946464000 is 513181.9679629795
Scales and comparisons
How big is 135149412946464000?- 135,149,412,946,464,000 seconds is equal to 4,297,333,287 years, 6 weeks.
-
To count from 1 to 135,149,412,946,464,000 would take you about twelve billion, eight hundred ninety-one million, nine hundred ninety-nine thousand, eight hundred sixty-one 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 135149412946464000 cubic inches would be around 42765.2 feet tall.
Recreational maths with 135149412946464000
- 135149412946464000 backwards is 000464649214941531
- 135149412946464000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135149412946464000's digits is 63
- More coming soon!
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"Number 135149412946464000 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 135149412946464000 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/135149412946464000/
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Numbermatics. 2024. "Number 135149412946464000 - Facts about the integer". https://numbermatics.com/n/135149412946464000/
The information we have on file for 135149412946464000 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 135149412946464000, math, Factors of 135149412946464000, curriculum, school, college, exams, university, Prime factorization of 135149412946464000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five quadrillion, one hundred forty-nine trillion, four hundred twelve billion, nine hundred forty-six million, four hundred sixty-four thousand.