38345517396480000
38,345,517,396,480,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 38345517396480000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 5460 divisors.
38345517396480000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five thousand, four hundred sixty divisors.
Prime factorization of 38345517396480000:
212 × 3 × 54 × 76 × 31 × 372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 31 × 37 × 37)See below for interesting mathematical facts about the number 38345517396480000 from the Numbermatics database.
Names of 38345517396480000
- Cardinal: 38345517396480000 can be written as Thirty-eight quadrillion, three hundred forty-five trillion, five hundred seventeen billion, three hundred ninety-six million, four hundred eighty thousand.
Scientific notation
- Scientific notation: 3.834551739648 × 1016
Factors of 38345517396480000
Divisors of 38345517396480000
- Number of divisors d(n): 5460
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 37 40 42 48 49 50 56 60 62 64 70 74 75 80 84 93 96 98 100 105 111 112 120 124 125 128 140 147 148 150 155 160 168 175 185 186 192 196 200 210 217 222 224 240 245 248 250 256 259 280 294 296 300 310 320 336 343 350 370 372 375 384 392 400 420 434 444 448 465 480 490 496 500 512 518 525 555 560 588 592 600 620 625 640 651 672 686 700 735 740 744 750 768 775 777 784 800 840 868 875 888 896 925 930 960 980 992 1000 1024 1029 1036 1050 1085 1110 1120 1147 1176 1184 1200 1225 1240 1250 1280 1295 1302 1344 1369 1372 1400 1470 1480 1488 1500 1519 1536 1550 1554 1568 1600 1680 1715 1736 1750 1776 1792 1813 1850 1860 1875 1920 1960 1984 2000 2048 2058 2072 2100 2170 2220 2240 2294 2325 2352 2368 2400 2401 2450 2480 2500 2560 2590 2604 2625 2688 2738 2744 2775 2800 2940 2960 2976 3000 3038 3072 3100 3108 3136 3200 3255 3360 3430 3441 3472 3500 3552 3584 3626 3675 3700 3720 3750 3840 3875 3885 3920 3968 4000 4096 4107 4116 4144 4200 4340 4375 4440 4480 4557 4588 4625 4650 4704 4736 4800 4802 4900 4960 5000 5120 5145 5180 5208 5250 5376 5425 5439 5476 5488 5550 5600 5735 5880 5920 5952 6000 6076 6125 6144 6200 6216 6272 6400 6475 6510 6720 6845 6860 6882 6944 7000 7104 7168 7203 7252 7350 7400 7440 7500 7595 7680 7750 7770 7840 7936 8000 8029 8214 8232 8288 8400 8575 8680 8750 8880 8960 9065 9114 9176 9250 9300 9408 9472 9583 9600 9604 9800 9920 10000 10240 10290 10360 10416 10500 10633 10752 10850 10878 10952 10976 11100 11200 11470 11625 11760 11840 11904 12000 12005 12152 12250 12288 12400 12432 12544 12691 12800 12950 13020 13125 13440 13690 13720 13764 13875 13888 14000 14208 14336 14406 14504 14700 14800 14880 15000 15190 15360 15500 15540 15680 15872 16000 16058 16275 16428 16464 16576 16800 16807 17150 17205 17360 17500 17760 17920 18130 18228 18352 18375 18500 18600 18816 18944 19166 19200 19208 19375 19425 19600 19840 20000 20480 20535 20580 20720 20832 21000 21266 21504 21700 21756 21904 21952 22200 22400 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599148709320000 618476087040000 639091956608000 684741382080000 766910347929600 782561579520000 798864945760000 912988509440000 958637934912000 1036365335040000 1095586211328000 1198297418640000 1236952174080000 1278183913216000 1369482764160000 1533820695859200 1597729891520000 1825977018880000 1917275869824000 2396594837280000 2556367826432000 2738965528320000 3195459783040000 3834551739648000 4793189674560000 5477931056640000 6390919566080000 7669103479296000 9586379349120000 12781839132160000 19172758698240000 38345517396480000
- Sum of all divisors σ(n): 158134463414454912
- Sum of proper divisors (its aliquot sum) s(n): 119788946017974912
- 38345517396480000 is an abundant number, because the sum of its proper divisors (119788946017974912) is greater than itself. Its abundance is 81443428621494912
Bases of 38345517396480000
- Binary: 100010000011101100001011011111110010010101010000000000002
- Hexadecimal: 0x883B0B7F255000
- Base-36: AHKCNI5XZPC
Squares and roots of 38345517396480000
- 38345517396480000 squared (383455173964800002) is 1470378704403750317516390400000000
- 38345517396480000 cubed (383455173964800003) is 56382432189127731386079071750735265792000000000000
-
The
square root of 38345517396480000 is 195820114.8924185469 -
The
cube root of 38345517396480000 is 337213.4336299219
Scales and comparisons
How big is 38345517396480000?- 38,345,517,396,480,000 seconds is equal to 1,219,268,842 years, 38 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 38,345,517,396,480,000 would take you about three billion, six hundred fifty-seven million, eight hundred six thousand, five hundred twenty-eight 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 38345517396480000 cubic inches would be around 28101.1 feet tall.
Recreational maths with 38345517396480000
- 38345517396480000 backwards is 00008469371554383
- The number of decimal digits it has is: 17
- The sum of 38345517396480000's digits is 66
- More coming soon!
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"Number 38345517396480000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 June 2024.
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Numbermatics. (2024). Number 38345517396480000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/38345517396480000/
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Numbermatics. 2024. "Number 38345517396480000 - Facts about the integer". https://numbermatics.com/n/38345517396480000/
The information we have on file for 38345517396480000 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 38345517396480000, math, Factors of 38345517396480000, curriculum, school, college, exams, university, Prime factorization of 38345517396480000, STEM, science, technology, engineering, physics, economics, calculator, thirty-eight quadrillion, three hundred forty-five trillion, five hundred seventeen billion, three hundred ninety-six million, four hundred eighty thousand.