3420138464870400000
3,420,138,464,870,400,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 3420138464870400000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 8832 divisors.
3420138464870400000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight thousand, eight hundred thirty-two divisors.
Prime factorization of 3420138464870400000:
222 × 33 × 55 × 7 × 13 × 61 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 13 × 61 × 1741)See below for interesting mathematical facts about the number 3420138464870400000 from the Numbermatics database.
Names of 3420138464870400000
- Cardinal: 3420138464870400000 can be written as Three quintillion, four hundred twenty quadrillion, one hundred thirty-eight trillion, four hundred sixty-four billion, eight hundred seventy million, four hundred thousand.
Scientific notation
- Scientific notation: 3.4201384648704 × 1018
Factors of 3420138464870400000
Divisors of 3420138464870400000
- Number of divisors d(n): 8832
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 61 63 64 65 70 72 75 78 80 84 90 91 96 100 104 105 108 112 117 120 122 125 126 128 130 135 140 144 150 156 160 168 175 180 182 183 189 192 195 200 208 210 216 224 225 234 240 244 250 252 256 260 270 273 280 288 300 305 312 315 320 325 336 350 351 360 364 366 375 378 384 390 400 416 420 427 432 448 450 455 468 480 488 500 504 512 520 525 540 546 549 560 576 585 600 610 624 625 630 640 650 672 675 700 702 720 728 732 750 756 768 780 793 800 819 832 840 854 864 875 896 900 910 915 936 945 960 975 976 1000 1008 1024 1040 1050 1080 1092 1098 1120 1125 1152 1170 1200 1220 1248 1250 1260 1280 1281 1300 1344 1350 1365 1400 1404 1440 1456 1464 1500 1512 1525 1536 1560 1575 1586 1600 1625 1638 1647 1664 1680 1708 1728 1741 1750 1755 1792 1800 1820 1830 1872 1875 1890 1920 1950 1952 2000 2016 2048 2080 2100 2135 2160 2184 2196 2240 2250 2275 2304 2340 2379 2400 2440 2457 2496 2500 2520 2560 2562 2600 2625 2688 2700 2730 2745 2800 2808 2880 2912 2925 2928 3000 3024 3050 3072 3120 3125 3150 3172 3200 3250 3276 3294 3328 3360 3375 3416 3456 3482 3500 3510 3584 3600 3640 3660 3744 3750 3780 3840 3843 3900 3904 3965 4000 4032 4095 4096 4160 4200 4270 4320 4368 4375 4392 4480 4500 4550 4575 4608 4680 4725 4758 4800 4875 4880 4914 4992 5000 5040 5120 5124 5200 5223 5250 5376 5400 5460 5490 5551 5600 5616 5625 5760 5824 5850 5856 6000 6048 6100 6144 6240 6250 6300 6344 6400 6405 6500 6552 6588 6656 6720 6750 6825 6832 6912 6964 7000 7020 7137 7168 7200 7280 7320 7488 7500 7560 7625 7680 7686 7800 7808 7875 7930 8000 8064 8125 8190 8192 8235 8320 8400 8540 8640 8705 8736 8750 8775 8784 8960 9000 9100 9150 9216 9360 9375 9450 9516 9600 9750 9760 9828 9984 10000 10080 10240 10248 10400 10446 10500 10675 10752 10800 10920 10980 11102 11200 11232 11250 11375 11520 11529 11648 11700 11712 11895 12000 12096 12187 12200 12285 12288 12480 12500 12600 12688 12800 12810 13000 13104 13125 13176 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142505769369600000 162863736422400000 171006923243520000 190007692492800000 213758654054400000 228009230991360000 244295604633600000 263087574220800000 285011538739200000 342013846487040000 380015384985600000 427517308108800000 488591209267200000 570023077478400000 684027692974080000 855034616217600000 1140046154956800000 1710069232435200000 3420138464870400000
- Sum of all divisors σ(n): 15854039709006320640
- Sum of proper divisors (its aliquot sum) s(n): 12433901244135920640
- 3420138464870400000 is an abundant number, because the sum of its proper divisors (12433901244135920640) is greater than itself. Its abundance is 9013762779265520640
Bases of 3420138464870400000
- Binary: 101111011101101100010111010000001010010100000000000000000000002
- Hexadecimal: 0x2F76C5D029400000
- Base-36: PZG1WG8HIIO0
Squares and roots of 3420138464870400000
- 3420138464870400000 squared (34201384648704000002) is 11697347118886056334888796160000000000
- 3420138464870400000 cubed (34201384648704000003) is 40006546818243153036502460343358706417664000000000000000
-
The
square root of 3420138464870400000 is 1849361637.1252000209 -
The
cube root of 3420138464870400000 is 1506657.5872851809
Scales and comparisons
How big is 3420138464870400000?- 3,420,138,464,870,400,000 seconds is equal to 108,749,824,000 years.
-
To count from 1 to 3,420,138,464,870,400,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 3420138464870400000 cubic inches would be around 125554.8 feet tall.
Recreational maths with 3420138464870400000
- 3420138464870400000 backwards is 0000040784648310243
- 3420138464870400000 is a
Harshad number . - The number of decimal digits it has is: 19
- The sum of 3420138464870400000's digits is 54
- More coming soon!
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"Number 3420138464870400000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 3420138464870400000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/3420138464870400000/
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The information we have on file for 3420138464870400000 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 3420138464870400000, math, Factors of 3420138464870400000, curriculum, school, college, exams, university, Prime factorization of 3420138464870400000, STEM, science, technology, engineering, physics, economics, calculator, three quintillion, four hundred twenty quadrillion, one hundred thirty-eight trillion, four hundred sixty-four billion, eight hundred seventy million, four hundred thousand.