21401978437632000
21,401,978,437,632,000 is an even composite number composed of seven prime numbers multiplied together.
21401978437632000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, six hundred forty-eight divisors.
Prime factorization of 21401978437632000:
218 × 3 × 53 × 13 × 17 × 592 × 283
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 17 × 59 × 59 × 283)See below for interesting mathematical facts about the number 21401978437632000 from the Numbermatics database.
Names of 21401978437632000
- Cardinal: 21401978437632000 can be written as Twenty-one quadrillion, four hundred one trillion, nine hundred seventy-eight billion, four hundred thirty-seven million, six hundred thirty-two thousand.
Scientific notation
- Scientific notation: 2.1401978437632 × 1016
Factors of 21401978437632000
Divisors of 21401978437632000
- Number of divisors d(n): 3648
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 59 60 64 65 68 75 78 80 85 96 100 102 104 118 120 125 128 130 136 150 156 160 170 177 192 195 200 204 208 221 236 240 250 255 256 260 272 283 295 300 312 320 325 340 354 375 384 390 400 408 416 425 442 472 480 500 510 512 520 544 566 590 600 624 640 650 663 680 708 750 767 768 780 800 816 832 849 850 884 885 944 960 975 1000 1003 1020 1024 1040 1088 1105 1132 1180 1200 1248 1275 1280 1300 1326 1360 1415 1416 1475 1500 1534 1536 1560 1600 1625 1632 1664 1698 1700 1768 1770 1888 1920 1950 2000 2006 2040 2048 2080 2125 2176 2210 2264 2301 2360 2400 2496 2550 2560 2600 2652 2720 2830 2832 2950 3000 3009 3068 3072 3120 3200 3250 3264 3315 3328 3396 3400 3481 3536 3540 3679 3776 3835 3840 3900 4000 4012 4080 4096 4160 4245 4250 4352 4420 4425 4528 4602 4720 4800 4811 4875 4992 5015 5100 5120 5200 5304 5440 5525 5660 5664 5900 6000 6018 6136 6144 6240 6375 6400 6500 6528 6630 6656 6792 6800 6962 7072 7075 7080 7358 7375 7552 7670 7680 7800 8000 8024 8160 8192 8320 8490 8500 8704 8840 8850 9056 9204 9440 9600 9622 9750 9984 10030 10200 10240 10400 10443 10608 10880 11037 11050 11320 11328 11505 11800 12000 12036 12272 12288 12480 12750 12800 13000 13039 13056 13260 13312 13584 13600 13924 14144 14150 14160 14433 14716 14750 15045 15104 15340 15360 15600 16000 16048 16320 16384 16575 16640 16697 16980 17000 17405 17408 17680 17700 18112 18395 18408 18880 19175 19200 19244 19500 19968 20060 20400 20480 20800 20886 21216 21225 21760 22074 22100 22125 22640 22656 23010 23600 24000 24055 24072 24544 24576 24960 25075 25500 25600 26000 26078 26112 26520 26624 27168 27200 27625 27848 28288 28300 28320 28866 29432 29500 30090 30208 30680 30720 31200 32000 32096 32640 32768 33150 33280 33394 33960 34000 34810 34816 35360 35375 35400 36224 36790 36816 37760 38350 38400 38488 39000 39117 39936 40120 40800 40960 41600 41772 42432 42450 43520 44148 44200 44250 45253 45280 45312 46020 47200 48000 48110 48144 49088 49152 49920 50091 50150 51000 51200 52000 52156 52215 52224 53040 53248 54336 54400 55185 55250 55696 56576 56600 56640 57525 57732 58864 59000 59177 60180 60416 61360 61440 62400 62543 64000 64192 65195 65280 65536 66300 66560 66788 67920 68000 69620 69632 70720 70750 70800 72165 72448 73580 73632 75225 75520 76700 76800 76976 78000 78234 79872 80240 81600 81920 82875 83200 83485 83544 84864 84900 87025 87040 88296 88400 88500 90506 90560 90624 91975 92040 94400 95875 96000 96220 96288 98176 98304 99840 100182 100300 102000 102400 104000 104312 104430 104448 106080 106125 106496 108672 108800 110370 110500 111392 113152 113200 113280 115050 115464 117728 118000 118354 120275 120360 120832 122720 122880 124800 125086 125375 128000 128384 130390 130560 131072 132600 133120 133576 135759 135840 136000 139240 139264 141440 141500 141600 144330 144896 147160 147264 150450 151040 153400 153600 153952 156000 156468 159744 160480 163200 163840 165750 166400 166970 167088 169728 169800 174050 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629469954048000 668811826176000 713399281254400 823153016832000 856079137505280 891749101568000 1070098921881600 1258939908096000 1337623652352000 1426798562508800 1646306033664000 1783498203136000 2140197843763200 2675247304704000 3566996406272000 4280395687526400 5350494609408000 7133992812544000 10700989218816000 21401978437632000
- Sum of all divisors σ(n): 82908390931801344
- Sum of proper divisors (its aliquot sum) s(n): 61506412494169344
- 21401978437632000 is an abundant number, because the sum of its proper divisors (61506412494169344) is greater than itself. Its abundance is 40104434056537344
Bases of 21401978437632000
- Binary: 10011000000100011111100011010100100010000000000000000002
- Hexadecimal: 0x4C08FC6A440000
- Base-36: 5UQD95V239C
Squares and roots of 21401978437632000
- 21401978437632000 squared (214019784376320002) is 458044681044865063713767424000000
- 21401978437632000 cubed (214019784376320003) is 9803062387194228961597036268748137299968000000000
-
The
square root of 21401978437632000 is 146294150.3876077747 -
The
cube root of 21401978437632000 is 277641.6653509153
Scales and comparisons
How big is 21401978437632000?- 21,401,978,437,632,000 seconds is equal to 680,516,713 years, 33 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 21,401,978,437,632,000 would take you about two billion, forty-one million, five hundred fifty thousand, one hundred forty 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 21401978437632000 cubic inches would be around 23136.8 feet tall.
Recreational maths with 21401978437632000
- 21401978437632000 backwards is 00023673487910412
- The number of decimal digits it has is: 17
- The sum of 21401978437632000's digits is 57
- More coming soon!
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"Number 21401978437632000 - Facts about the integer". Numbermatics.com. 2024. Web. 24 September 2024.
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Numbermatics. (2024). Number 21401978437632000 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/21401978437632000/
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The information we have on file for 21401978437632000 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 21401978437632000, math, Factors of 21401978437632000, curriculum, school, college, exams, university, Prime factorization of 21401978437632000, STEM, science, technology, engineering, physics, economics, calculator, twenty-one quadrillion, four hundred one trillion, nine hundred seventy-eight billion, four hundred thirty-seven million, six hundred thirty-two thousand.