21385826420400
21,385,826,420,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21385826420400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2700 divisors.
21385826420400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, seven hundred divisors.
Prime factorization of 21385826420400:
24 × 34 × 52 × 132 × 192 × 31 × 349
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 19 × 19 × 31 × 349)See below for interesting mathematical facts about the number 21385826420400 from the Numbermatics database.
Names of 21385826420400
- Cardinal: 21385826420400 can be written as Twenty-one trillion, three hundred eighty-five billion, eight hundred twenty-six million, four hundred twenty thousand, four hundred.
Scientific notation
- Scientific notation: 2.13858264204 × 1013
Factors of 21385826420400
Divisors of 21385826420400
- Number of divisors d(n): 2700
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 27 30 31 36 38 39 40 45 48 50 52 54 57 60 62 65 72 75 76 78 80 81 90 93 95 100 104 108 114 117 120 124 130 135 144 150 152 155 156 162 169 171 180 186 190 195 200 208 216 225 228 234 240 247 248 260 270 279 285 300 304 310 312 324 325 338 342 349 351 360 361 372 380 390 400 403 405 432 450 456 465 468 475 494 496 507 513 520 540 558 570 585 589 600 620 624 648 650 675 676 684 698 702 720 722 741 744 760 775 780 806 810 837 845 855 900 912 930 936 950 975 988 1014 1026 1040 1047 1053 1080 1083 1116 1140 1170 1178 1200 1209 1235 1240 1296 1300 1350 1352 1368 1395 1396 1404 1425 1444 1482 1488 1520 1521 1539 1550 1560 1612 1620 1674 1690 1710 1745 1755 1767 1800 1805 1860 1872 1900 1950 1976 2015 2025 2028 2052 2094 2106 2160 2166 2223 2232 2280 2325 2340 2356 2418 2470 2480 2511 2535 2565 2600 2700 2704 2736 2790 2792 2808 2850 2888 2925 2945 2964 3042 3078 3100 3120 3141 3211 3224 3240 3249 3348 3380 3420 3490 3510 3534 3600 3610 3627 3705 3720 3800 3900 3952 4030 4050 4056 4104 4185 4188 4212 4225 4275 4332 4446 4464 4537 4560 4563 4650 4680 4693 4712 4836 4940 5022 5070 5130 5200 5235 5239 5265 5301 5400 5415 5580 5584 5616 5700 5776 5850 5890 5928 6045 6084 6156 6175 6200 6282 6422 6448 6480 6498 6631 6669 6696 6760 6840 6975 6980 7020 7068 7220 7254 7410 7440 7600 7605 7657 7695 7800 8060 8100 8112 8208 8370 8376 8424 8450 8550 8664 8725 8775 8835 8892 9025 9074 9126 9300 9360 9386 9423 9424 9633 9672 9747 9880 10044 10075 10140 10260 10470 10478 10530 10602 10800 10819 10830 10881 11115 11160 11191 11400 11700 11780 11856 12090 12168 12312 12350 12400 12555 12564 12675 12825 12844 12996 13262 13338 13392 13520 13611 13680 13689 13950 13960 14040 14079 14136 14440 14508 14725 14820 15210 15314 15390 15600 15705 15717 15903 16055 16120 16200 16245 16740 16752 16848 16900 17100 17328 17450 17550 17670 17784 18050 18135 18148 18252 18525 18600 18772 18846 19266 19344 19494 19760 19893 20007 20088 20150 20280 20520 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66005637100 68544315450 68986536840 70348113225 71286088068 75037987440 76651707600 79206764520 82253178540 86233171050 86582293200 89107610085 91392420600 93797484300 95048117424 99008455650 102816473175 106929132102 109670904720 112556981160 114977561400 118810146780 125063312400 126543351600 132011274200 137088630900 137973073680 140696226450 142572176136 148512683475 158413529040 164506357080 172466342100 178215220170 182784841200 187594968600 198016911300 205632946350 213858264204 225113962320 229955122800 237620293560 264022548400 267322830255 274177261800 281392452900 285144352272 297025366950 329012714160 344932684200 356430440340 375189937200 396033822600 411265892700 427716528408 445538050425 475240587120 534645660510 548354523600 562784905800 594050733900 689865368400 712860880680 792067645200 822531785400 855433056816 891076100850 1069291321020 1125569811600 1188101467800 1336614151275 1425721761360 1645063570800 1782152201700 2138582642040 2376202935600 2673228302550 3564304403400 4277165284080 5346456605100 7128608806800 10692913210200 21385826420400
- Sum of all divisors σ(n): 90803553825600
- Sum of proper divisors (its aliquot sum) s(n): 69417727405200
- 21385826420400 is an abundant number, because the sum of its proper divisors (69417727405200) is greater than itself. Its abundance is 48031900984800
Bases of 21385826420400
- Binary: 1001101110011010001101001011001000110101100002
- Hexadecimal: 0x1373469646B0
- Base-36: 7KWIGVV00
Squares and roots of 21385826420400
- 21385826420400 squared (213858264204002) is 457353571683478677536160000
- 21385826420400 cubed (213858264204003) is 9780884096772843608232862504361664000000
-
The
square root of 21385826420400 is 4624481.2055407901 -
The
cube root of 21385826420400 is 27757.1802626317
Scales and comparisons
How big is 21385826420400?- 21,385,826,420,400 seconds is equal to 680,003 years, 6 weeks, 5 days, 3 hours.
-
To count from 1 to 21,385,826,420,400 would take you about one million, seven hundred thousand and seven 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 21385826420400 cubic inches would be around 2313.1 feet tall.
Recreational maths with 21385826420400
- 21385826420400 backwards is 00402462858312
- 21385826420400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21385826420400's digits is 45
- More coming soon!
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"Number 21385826420400 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
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Numbermatics. (2024). Number 21385826420400 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/21385826420400/
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The information we have on file for 21385826420400 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!
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