135748498636800000
135,748,498,636,800,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 135748498636800000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 4536 divisors.
135748498636800000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four thousand, five hundred thirty-six divisors.
Prime factorization of 135748498636800000:
217 × 32 × 55 × 76 × 313
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 313)See below for interesting mathematical facts about the number 135748498636800000 from the Numbermatics database.
Names of 135748498636800000
- Cardinal: 135748498636800000 can be written as One hundred thirty-five quadrillion, seven hundred forty-eight trillion, four hundred ninety-eight billion, six hundred thirty-six million, eight hundred thousand.
Scientific notation
- Scientific notation: 1.357484986368 × 1017
Factors of 135748498636800000
Divisors of 135748498636800000
- Number of divisors d(n): 4536
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 125 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 250 252 256 280 288 294 300 313 315 320 336 343 350 360 375 384 392 400 420 441 448 450 480 490 500 504 512 525 560 576 588 600 625 626 630 640 672 686 700 720 735 750 768 784 800 840 875 882 896 900 939 960 980 1000 1008 1024 1029 1050 1120 1125 1152 1176 1200 1225 1250 1252 1260 1280 1344 1372 1400 1440 1470 1500 1536 1565 1568 1575 1600 1680 1715 1750 1764 1792 1800 1875 1878 1920 1960 2000 2016 2048 2058 2100 2191 2205 2240 2250 2304 2352 2400 2401 2450 2500 2504 2520 2560 2625 2688 2744 2800 2817 2880 2940 3000 3072 3087 3125 3130 3136 3150 3200 3360 3430 3500 3528 3584 3600 3675 3750 3756 3840 3920 4000 4032 4096 4116 4200 4375 4382 4410 4480 4500 4608 4695 4704 4800 4802 4900 5000 5008 5040 5120 5145 5250 5376 5488 5600 5625 5634 5760 5880 6000 6125 6144 6174 6250 6260 6272 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1357484986368000 1385188761600000 1414046860800000 1508316651520000 1616053555200000 1696856232960000 1809979981824000 1885395814400000 1939264266240000 2121070291200000 2154738073600000 2262474977280000 2424080332800000 2714969972736000 2770377523200000 2828093721600000 3016633303040000 3232107110400000 3393712465920000 3770791628800000 3878528532480000 4242140582400000 4524949954560000 4848160665600000 5429939945472000 5656187443200000 6464214220800000 6787424931840000 7541583257600000 8484281164800000 9049899909120000 9696321331200000 11312374886400000 13574849863680000 15083166515200000 16968562329600000 19392642662400000 22624749772800000 27149699727360000 33937124659200000 45249499545600000 67874249318400000 135748498636800000
- Sum of all divisors σ(n): 573690960598775292
- Sum of proper divisors (its aliquot sum) s(n): 437942461961975292
- 135748498636800000 is an abundant number, because the sum of its proper divisors (437942461961975292) is greater than itself. Its abundance is 302193963325175292
Bases of 135748498636800000
- Binary: 1111000100100011010001010010100000000101000000000000000002
- Hexadecimal: 0x1E2468A500A0000
- Base-36: 114MTRCTZB40
Squares and roots of 135748498636800000
- 135748498636800000 squared (1357484986368000002) is 18427654882145291458314240000000000
- 135748498636800000 cubed (1357484986368000003) is 2501526483648320962188509292666028032000000000000000
-
The
square root of 135748498636800000 is 368440631.0883749425 -
The
cube root of 135748498636800000 is 513939.1221191769
Scales and comparisons
How big is 135748498636800000?- 135,748,498,636,800,000 seconds is equal to 4,316,382,358 years, 50 weeks, 4 days, 16 hours.
-
To count from 1 to 135,748,498,636,800,000 would take you about twelve billion, nine hundred forty-nine million, one hundred forty-seven thousand and seventy-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 135748498636800000 cubic inches would be around 42828.3 feet tall.
Recreational maths with 135748498636800000
- 135748498636800000 backwards is 000008636894847531
- 135748498636800000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 135748498636800000's digits is 72
- More coming soon!
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The information we have on file for 135748498636800000 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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