468378988492800000
468,378,988,492,800,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 468378988492800000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 12960 divisors.
468378988492800000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of twelve thousand, nine hundred sixty divisors.
Prime factorization of 468378988492800000:
214 × 3 × 55 × 73 × 11 × 292 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 29 × 29 × 31 × 31)See below for interesting mathematical facts about the number 468378988492800000 from the Numbermatics database.
Names of 468378988492800000
- Cardinal: 468378988492800000 can be written as Four hundred sixty-eight quadrillion, three hundred seventy-eight trillion, nine hundred eighty-eight billion, four hundred ninety-two million, eight hundred thousand.
Scientific notation
- Scientific notation: 4.683789884928 × 1017
Factors of 468378988492800000
Divisors of 468378988492800000
- Number of divisors d(n): 12960
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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 29 30 31 32 33 35 40 42 44 48 49 50 55 56 58 60 62 64 66 70 75 77 80 84 87 88 93 96 98 100 105 110 112 116 120 124 125 128 132 140 145 147 150 154 155 160 165 168 174 175 176 186 192 196 200 203 210 217 220 224 231 232 240 245 248 250 256 264 275 280 290 294 300 308 310 319 320 330 336 341 343 348 350 352 372 375 384 385 392 400 406 420 434 435 440 448 462 464 465 480 490 496 500 512 525 528 539 550 560 580 588 600 609 616 620 625 638 640 651 660 672 682 686 696 700 704 725 735 744 750 768 770 775 784 800 812 825 840 841 868 870 875 880 896 899 924 928 930 957 960 961 980 992 1000 1015 1023 1024 1029 1050 1056 1078 1085 1100 1120 1155 1160 1176 1200 1218 1225 1232 1240 1250 1276 1280 1302 1320 1344 1364 1372 1375 1392 1400 1408 1421 1450 1470 1488 1500 1519 1536 1540 1550 1568 1595 1600 1617 1624 1650 1680 1682 1705 1715 1736 1740 1750 1760 1792 1798 1848 1856 1860 1875 1914 1920 1922 1925 1960 1984 2000 2030 2046 2048 2058 2100 2112 2156 2170 2175 2200 2233 2240 2310 2320 2325 2352 2387 2400 2436 2450 2464 2480 2500 2523 2552 2560 2604 2625 2640 2688 2695 2697 2728 2744 2750 2784 2800 2816 2842 2883 2900 2940 2976 3000 3038 3045 3072 3080 3100 3125 3136 3190 3200 3234 3248 3255 3300 3360 3364 3410 3430 3472 3480 3500 3520 3584 3596 3625 3675 3696 3712 3720 3750 3773 3828 3840 3844 3850 3875 3920 3968 4000 4060 4092 4096 4116 4125 4200 4205 4224 4263 4312 4340 4350 4375 4400 4466 4480 4495 4557 4620 4640 4650 4704 4774 4785 4800 4805 4872 4900 4928 4960 5000 5046 5075 5104 5115 5120 5145 5208 5250 5280 5376 5390 5394 5425 5456 5488 5500 5568 5600 5632 5684 5766 5775 5800 5880 5887 5952 6000 6076 6090 6125 6144 6160 6200 6250 6272 6293 6380 6400 6468 6496 6510 6600 6699 6720 6727 6728 6820 6860 6875 6944 6960 7000 7040 7105 7161 7168 7192 7250 7350 7392 7424 7440 7500 7546 7595 7656 7680 7688 7700 7750 7840 7936 7975 8000 8085 8120 8184 8192 8232 8250 8400 8410 8448 8525 8526 8575 8624 8680 8700 8750 8800 8932 8960 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33455642035200000 39031582374400000 42579908044800000 46837898849280000 58547373561600000 66911284070400000 78063164748800000 93675797698560000 117094747123200000 156126329497600000 234189494246400000 468378988492800000
- Sum of all divisors σ(n): 2125384711747315200
- Sum of proper divisors (its aliquot sum) s(n): 1657005723254515200
- 468378988492800000 is an abundant number, because the sum of its proper divisors (1657005723254515200) is greater than itself. Its abundance is 1188626734761715200
Bases of 468378988492800000
- Binary: 110100000000000010000110101010111010101111011000000000000002
- Hexadecimal: 0x68004355D5EC000
- Base-36: 3K3UHSUPHZPC
Squares and roots of 468378988492800000
- 468378988492800000 squared (4683789884928000002) is 219378876861538474815651840000000000
- 468378988492800000 cubed (4683789884928000003) is 102752456441093917474584655768691146752000000000000000
-
The
square root of 468378988492800000 is 684382194.7514414991 -
The
cube root of 468378988492800000 is 776603.1267910829
Scales and comparisons
How big is 468378988492800000?- 468,378,988,492,800,000 seconds is equal to 14,893,003,042 years, 38 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 468,378,988,492,800,000 would take you about forty-four billion, six hundred seventy-nine million, nine thousand, one 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 468378988492800000 cubic inches would be around 64716.9 feet tall.
Recreational maths with 468378988492800000
- 468378988492800000 backwards is 000008294889873864
- 468378988492800000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 468378988492800000's digits is 84
- More coming soon!
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The information we have on file for 468378988492800000 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 468378988492800000, math, Factors of 468378988492800000, curriculum, school, college, exams, university, Prime factorization of 468378988492800000, STEM, science, technology, engineering, physics, economics, calculator, four hundred sixty-eight quadrillion, three hundred seventy-eight trillion, nine hundred eighty-eight billion, four hundred ninety-two million, eight hundred thousand.