420942768390144000000
420,942,768,390,144,000,000 is an even composite number composed of seven prime numbers multiplied together.
420942768390144000000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of forty-two thousand, three hundred thirty-six divisors.
Prime factorization of 420942768390144000000:
220 × 32 × 56 × 73 × 113 × 132 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 11 × 13 × 13 × 37)See below for interesting mathematical facts about the number 420942768390144000000 from the Numbermatics database.
Names of 420942768390144000000
- Cardinal: 420942768390144000000 can be written as Four hundred twenty quintillion, nine hundred forty-two quadrillion, seven hundred sixty-eight trillion, three hundred ninety billion, one hundred forty-four million.
Scientific notation
- Scientific notation: 4.20942768390144 × 1020
Factors of 420942768390144000000
Divisors of 420942768390144000000
- Number of divisors d(n): 42336
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 28 30 32 33 35 36 37 39 40 42 44 45 48 49 50 52 55 56 60 63 64 65 66 70 72 74 75 77 78 80 84 88 90 91 96 98 99 100 104 105 110 111 112 117 120 121 125 126 128 130 132 140 143 144 147 148 150 154 156 160 165 168 169 175 176 180 182 185 192 195 196 198 200 208 210 220 222 224 225 231 234 240 242 245 250 252 256 259 260 264 273 275 280 286 288 294 296 300 308 312 315 320 325 330 333 336 338 343 350 352 360 363 364 370 375 384 385 390 392 396 400 407 416 420 429 440 441 444 448 450 455 462 468 480 481 484 490 495 500 504 507 512 518 520 525 528 539 546 550 555 560 572 576 585 588 592 600 605 616 624 625 630 637 640 650 660 666 672 676 686 693 700 704 715 720 726 728 735 740 750 768 770 777 780 784 792 800 814 819 825 832 840 845 847 858 875 880 882 888 896 900 910 924 925 936 960 962 968 975 980 990 1000 1001 1008 1014 1024 1029 1036 1040 1050 1056 1078 1089 1092 1100 1110 1120 1125 1144 1152 1155 1170 1176 1183 1184 1200 1210 1221 1225 1232 1248 1250 1260 1274 1280 1287 1295 1300 1320 1331 1332 1344 1352 1365 1372 1375 1386 1400 1408 1430 1440 1443 1452 1456 1470 1480 1500 1521 1536 1540 1554 1560 1568 1573 1575 1584 1600 1617 1625 1628 1638 1650 1664 1665 1680 1690 1694 1715 1716 1750 1760 1764 1776 1792 1800 1813 1815 1820 1848 1850 1859 1872 1875 1911 1920 1924 1925 1936 1950 1960 1980 2000 2002 2016 2028 2035 2048 2058 2072 2080 2100 2112 2145 2156 2178 2184 2200 2205 2220 2240 2250 2275 2288 2304 2310 2331 2340 2352 2366 2368 2400 2405 2420 2442 2450 2464 2475 2496 2500 2520 2535 2541 2548 2560 2574 2590 2600 2625 2640 2662 2664 2688 2695 2704 2730 2744 2750 2772 2775 2800 2816 2849 2860 2880 2886 2904 2912 2925 2940 2960 3000 3003 3025 3042 3072 3080 3087 3108 3120 3125 3136 3146 3150 3168 3185 3200 3234 3250 3256 3276 3300 3328 3330 3360 3367 3380 3388 3430 3432 3465 3500 3520 3528 3549 3552 3575 3584 3600 3626 3630 3640 3663 3675 3696 3700 3718 3744 3750 3773 3822 3840 3848 3850 3872 3885 3900 3920 3960 3993 4000 4004 4032 4056 4070 4095 4096 4116 4125 4144 4160 4200 4224 4225 4235 4290 4312 4329 4356 4368 4375 4400 4410 4440 4459 4477 4480 4500 4550 4576 4608 4620 4625 4662 4680 4704 4719 4732 4736 4800 4810 4840 4851 4875 4884 4900 4928 4950 4992 5000 5005 5040 5070 5082 5096 5120 5145 5148 5180 5200 5250 5280 5291 5324 5328 5376 5390 5408 5439 5445 5460 5488 5500 5544 5550 5577 5600 5625 5632 5698 5720 5733 5760 5772 5775 5808 5824 5850 5880 5915 5920 5929 6000 6006 6050 6084 6105 6125 6144 6160 6174 6216 6240 6250 6253 6272 6292 6300 6336 6370 6400 6435 6468 6475 6500 6512 6552 6600 6655 6656 6660 6720 6734 6760 6776 6825 6860 6864 6875 6930 7000 7007 7040 7056 7098 7104 7150 7168 7200 7215 7252 7260 7280 7326 7350 7392 7400 7436 7488 7500 7546 7605 7623 7644 7680 7696 7700 7744 7770 7800 7840 7865 7875 7920 7986 8000 8008 8064 8085 8112 8125 8140 8190 8192 8232 8250 8281 8288 8320 8325 8400 8448 8450 8470 8547 8575 8580 8624 8658 8712 8736 8750 8800 8820 8880 8918 8954 8960 9000 9009 9065 9075 9100 9152 9216 9240 9250 9295 9317 9324 9360 9375 9408 9438 9464 9472 9555 9600 9620 9625 9680 9702 9750 9768 9800 9856 9900 9984 10000 10010 10080 10101 10140 10164 10175 10192 10240 10290 10296 10360 10400 10500 10560 10582 10647 10648 10656 10725 10752 10780 10816 10878 10890 10920 10976 11000 11011 11025 11088 11100 11154 11200 11250 11264 11319 11375 11396 11440 11466 11520 11544 11550 11616 11648 11655 11700 11760 11830 11840 11858 11979 12000 12012 12025 12100 12168 12210 12250 12288 12320 12348 12375 12432 12480 12500 12506 12544 12584 12600 12672 12675 12691 12705 12740 12800 12870 12936 12950 13000 13013 13024 13104 13125 13200 13310 13312 13320 13377 13431 13440 13468 13475 13520 13552 13650 13720 13728 13750 13860 13875 14000 14014 14080 14112 14157 14196 14208 14245 14300 14336 14400 14430 14504 14520 14560 14625 14652 14700 14784 14800 14872 14976 15000 15015 15092 15125 15210 15246 15288 15360 15392 15400 15435 15488 15540 15600 15625 15680 15730 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420942768390144000000
- Sum of all divisors σ(n): 2168369493294340627200
- Sum of proper divisors (its aliquot sum) s(n): 1747426724904196627200
- 420942768390144000000 is an abundant number, because the sum of its proper divisors (1747426724904196627200) is greater than itself. Its abundance is 1326483956514052627200
Bases of 420942768390144000000
- Binary: 1011011010001110000010010000110011001101110000001000000000000000000002
- Hexadecimal: 0x16D1C12199B8100000
- Base-36: 2GU4J1UQGMOZK0
Squares and roots of 420942768390144000000
- 420942768390144000000 squared (4209427683901440000002) is 177192814259958414709396340736000000000000
- 420942768390144000000 cubed (4209427683901440000003) is 74588033773427479979302427026865723208105984000000000000000000
-
The
square root of 420942768390144000000 is 20516889832.2855942561 -
The
cube root of 420942768390144000000 is 7494471.5904271489
Scales and comparisons
How big is 420942768390144000000?- 420,942,768,390,144,000,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 420,942,768,390,144,000,000 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 420942768390144000000 cubic inches would be around 624539.3 feet tall.
Recreational maths with 420942768390144000000
- 420942768390144000000 backwards is 000000441093867249024
- 420942768390144000000 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 420942768390144000000's digits is 63
- More coming soon!
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"Number 420942768390144000000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 420942768390144000000 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/420942768390144000000/
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Numbermatics. 2024. "Number 420942768390144000000 - Facts about the integer". https://numbermatics.com/n/420942768390144000000/
The information we have on file for 420942768390144000000 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 420942768390144000000, math, Factors of 420942768390144000000, curriculum, school, college, exams, university, Prime factorization of 420942768390144000000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty quintillion, nine hundred forty-two quadrillion, seven hundred sixty-eight trillion, three hundred ninety billion, one hundred forty-four million.