3948004095420000
3,948,004,095,420,000 is an even composite number composed of nine prime numbers multiplied together.
What does the number 3948004095420000 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 5760 divisors.
3948004095420000 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of five thousand, seven hundred sixty divisors.
Prime factorization of 3948004095420000:
25 × 3 × 54 × 7 × 112 × 31 × 67 × 113 × 331
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 7 × 11 × 11 × 31 × 67 × 113 × 331)See below for interesting mathematical facts about the number 3948004095420000 from the Numbermatics database.
Names of 3948004095420000
- Cardinal: 3948004095420000 can be written as Three quadrillion, nine hundred forty-eight trillion, four billion, ninety-five million, four hundred twenty thousand.
Scientific notation
- Scientific notation: 3.94800409542 × 1015
Factors of 3948004095420000
Divisors of 3948004095420000
- Number of divisors d(n): 5760
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 31 32 33 35 40 42 44 48 50 55 56 60 62 66 67 70 75 77 80 84 88 93 96 100 105 110 112 113 120 121 124 125 132 134 140 150 154 155 160 165 168 175 176 186 200 201 210 217 220 224 226 231 240 242 248 250 264 268 275 280 300 308 310 330 331 335 336 339 341 350 352 363 372 375 385 400 402 420 434 440 452 462 465 469 480 484 496 500 525 528 536 550 560 565 600 605 616 620 625 651 660 662 670 672 678 682 700 726 737 744 750 770 775 791 800 804 825 840 847 868 875 880 904 924 930 938 968 992 993 1000 1005 1023 1050 1056 1072 1085 1100 1120 1130 1155 1200 1210 1232 1240 1243 1250 1302 1320 1324 1340 1356 1364 1375 1400 1407 1452 1474 1488 1500 1540 1550 1582 1608 1650 1655 1675 1680 1694 1695 1705 1736 1750 1760 1808 1815 1848 1860 1875 1876 1925 1936 1986 2000 2010 2046 2077 2100 2144 2170 2200 2211 2260 2310 2317 2325 2345 2373 2387 2400 2420 2464 2480 2486 2500 2541 2604 2625 2640 2648 2680 2712 2728 2750 2800 2814 2825 2904 2948 2976 3000 3025 3080 3100 3164 3216 3255 3300 3310 3350 3360 3388 3390 3410 3472 3500 3503 3616 3630 3641 3685 3696 3720 3729 3750 3751 3752 3850 3872 3875 3955 3972 4000 4020 4092 4125 4154 4200 4235 4340 4375 4400 4422 4520 4620 4634 4650 4690 4746 4774 4840 4960 4965 4972 5000 5025 5082 5115 5159 5208 5250 5280 5296 5360 5424 5425 5456 5500 5600 5628 5650 5775 5808 5896 6000 6050 6160 6200 6215 6231 6328 6432 6510 6600 6620 6700 6776 6780 6820 6875 6944 6951 7000 7006 7035 7161 7260 7282 7370 7392 7440 7458 7500 7502 7504 7571 7700 7750 7910 7944 8040 8107 8184 8250 8275 8308 8375 8400 8470 8475 8525 8680 8701 8750 8800 8844 9040 9075 9240 9268 9300 9380 9492 9548 9625 9680 9930 9944 10000 10050 10164 10230 10261 10318 10385 10416 10500 10509 10592 10720 10848 10850 10912 10923 11000 11055 11253 11256 11300 11550 11585 11616 11625 11725 11792 11865 11935 12000 12100 12320 12400 12430 12462 12656 12705 13020 13125 13200 13240 13400 13552 13560 13640 13673 13750 13902 14000 14012 14070 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49350051192750 51272780460000 52640054605600 56400058506000 58925434260000 59818243870000 63677485410000 65800068257000 70500073132500 71781892644000 78960081908400 82250085321250 89727365805000 94000097510000 98700102385500 112800117012000 119636487740000 123375127981875 127354970820000 131600136514000 141000146265000 157920163816800 164500170642500 179454731610000 188000195020000 197400204771000 246750255963750 263200273028000 282000292530000 329000341285000 358909463220000 394800409542000 493500511927500 564000585060000 658000682570000 789600819084000 987001023855000 1316001365140000 1974002047710000 3948004095420000
- Sum of all divisors σ(n): 17246263953752064
- Sum of proper divisors (its aliquot sum) s(n): 13298259858332064
- 3948004095420000 is an abundant number, because the sum of its proper divisors (13298259858332064) is greater than itself. Its abundance is 9350255762912064
Bases of 3948004095420000
- Binary: 11100000011010110000010101011010110111100110011000002
- Hexadecimal: 0xE06B055ADE660
- Base-36: 12VG81JYULC
Squares and roots of 3948004095420000
- 3948004095420000 squared (39480040954200002) is 15586736337453092464976400000000
- 3948004095420000 cubed (39480040954200003) is 61536498894496540183870770113648088000000000000
-
The
square root of 3948004095420000 is 62833144.8792753011 -
The
cube root of 3948004095420000 is 158049.2835552057
Scales and comparisons
How big is 3948004095420000?- 3,948,004,095,420,000 seconds is equal to 125,534,318 years, 13 weeks, 2 days, 3 hours, 20 minutes.
-
To count from 1 to 3,948,004,095,420,000 would take you about three hundred seventy-six million, six hundred two thousand, nine hundred fifty-four 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 3948004095420000 cubic inches would be around 13170.8 feet tall.
Recreational maths with 3948004095420000
- 3948004095420000 backwards is 0000245904008493
- 3948004095420000 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3948004095420000's digits is 48
- More coming soon!
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"Number 3948004095420000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 3948004095420000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/3948004095420000/
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Numbermatics. 2024. "Number 3948004095420000 - Facts about the integer". https://numbermatics.com/n/3948004095420000/
The information we have on file for 3948004095420000 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 3948004095420000, math, Factors of 3948004095420000, curriculum, school, college, exams, university, Prime factorization of 3948004095420000, STEM, science, technology, engineering, physics, economics, calculator, three quadrillion, nine hundred forty-eight trillion, four billion, ninety-five million, four hundred twenty thousand.