21408832216800
21,408,832,216,800 is an even composite number composed of six prime numbers multiplied together.
21408832216800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 21408832216800:
25 × 32 × 52 × 72 × 311 × 195121
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 311 × 195121)See below for interesting mathematical facts about the number 21408832216800 from the Numbermatics database.
Names of 21408832216800
- Cardinal: 21408832216800 can be written as Twenty-one trillion, four hundred eight billion, eight hundred thirty-two million, two hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 2.14088322168 × 1013
Factors of 21408832216800
Divisors of 21408832216800
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 70 72 75 80 84 90 96 98 100 105 112 120 126 140 144 147 150 160 168 175 180 196 200 210 224 225 240 245 252 280 288 294 300 311 315 336 350 360 392 400 420 441 450 480 490 504 525 560 588 600 622 630 672 700 720 735 784 800 840 882 900 933 980 1008 1050 1120 1176 1200 1225 1244 1260 1400 1440 1470 1555 1568 1575 1680 1764 1800 1866 1960 2016 2100 2177 2205 2352 2400 2450 2488 2520 2799 2800 2940 3110 3150 3360 3528 3600 3675 3732 3920 4200 4354 4410 4665 4704 4900 4976 5040 5598 5600 5880 6220 6300 6531 7056 7200 7350 7464 7775 7840 8400 8708 8820 9330 9800 9952 10080 10885 11025 11196 11760 12440 12600 13062 13995 14112 14700 14928 15239 15550 16800 17416 17640 18660 19593 19600 21770 22050 22392 23325 23520 24880 25200 26124 27990 29400 29856 30478 31100 32655 34832 35280 37320 39186 39200 43540 44100 44784 45717 46650 49760 50400 52248 54425 55980 58800 60956 62200 65310 69664 69975 70560 74640 76195 78372 87080 88200 89568 91434 93300 97965 104496 108850 111960 117600 121912 124400 130620 137151 139950 149280 152390 156744 163275 174160 176400 182868 186600 195121 195930 208992 217700 223920 228585 243824 248800 261240 274302 279900 304780 313488 326550 348320 352800 365736 373200 380975 390242 391860 435400 447840 457170 487648 489825 522480 548604 559800 585363 609560 626976 653100 685755 731472 746400 761950 780484 783720 870800 914340 975605 979650 1044960 1097208 1119600 1142925 1170726 1219120 1306200 1365847 1371510 1462944 1523900 1560968 1567440 1741600 1756089 1828680 1951210 1959300 2194416 2239200 2285850 2341452 2438240 2612400 2731694 2743020 2926815 3047800 3121936 3134880 3428775 3512178 3657360 3902420 3918600 4097541 4388832 4571700 4682904 4878025 5224800 5463388 5486040 5853630 6095600 6243872 6829235 6857550 7024356 7314720 7804840 7837200 8195082 8780445 9143400 9365808 9560929 9756050 10926776 10972080 11707260 12191200 12292623 13658470 13715100 14048712 14634075 15609680 15674400 16390164 17560890 18286800 18731616 19121858 19512100 20487705 21853552 21944160 23414520 24585246 27316940 27430200 28097424 28682787 29268150 31219360 32780328 34146175 35121780 36573600 38243716 39024200 40975410 43707104 43902225 46829040 47804645 49170492 54633880 54860400 56194848 57365574 58536300 60682631 61463115 65560656 68292350 70243560 76487432 78048400 81950820 86048361 87804450 93658080 95609290 98340984 102438525 109267760 109720800 114731148 117072600 121365262 122926230 131121312 136584700 140487120 143413935 152974864 156096800 163901640 172096722 175608900 182047893 191218580 196681968 204877050 218535520 229462296 234145200 239023225 242730524 245852460 273169400 280974240 286827870 303413155 305949728 307315575 327803280 344193444 351217800 364095786 382437160 393363936 409754100 424778417 430241805 458924592 468290400 478046450 485461048 491704920 546143679 546338800 573655740 606826310 614631150 655606560 688386888 702435600 717069675 728191572 764874320 819508200 849556834 860483610 910239465 917849184 956092900 970922096 983409840 1092287358 1092677600 1147311480 1213652620 1229262300 1274335251 1376773776 1404871200 1434139350 1456383144 1517065775 1529748640 1639016400 1699113668 1720967220 1820478930 1912185800 1941844192 1966819680 2123892085 2151209025 2184574716 2294622960 2427305240 2458524600 2548670502 2730718395 2753547552 2868278700 2912766288 2973448919 3034131550 3278032800 3398227336 3441934440 3640957860 3823005753 3824371600 4247784170 4302418050 4369149432 4551197325 4589245920 4854610480 4917049200 5097341004 5461436790 5736557400 5825532576 5946897838 6068263100 6371676255 6796454672 6883868880 7281915720 7646011506 7648743200 8495568340 8604836100 8738298864 8920346757 9102394650 9709220960 9834098400 10194682008 10619460425 10922873580 11473114800 11893795676 12136526200 12743352510 13592909344 13653591975 13767737760 14563831440 14867244595 15292023012 16991136680 17209672200 17476597728 17840693514 18204789300 19115028765 20389364016 21238920850 21845747160 22946229600 23787591352 24273052400 25486705020 26761040271 27307183950 29127662880 29734489190 30584046024 31858381275 33982273360 34419344400 35681387028 36409578600 38230057530 40778728032 42477841700 43691494320 44601733785 47575182704 48546104800 50973410040 53522080542 54614367900 59468978380 61168092048 63716762550 67964546720 68838688800 71362774056 72819157200 74336222975 76460115060 84955683400 87382988640 89203467570 95150365408 95575143825 101946820080 107044161084 109228735800 118937956760 122336184096 127433525100 133805201355 142725548112 145638314400 148672445950 152920230120 169911366800 178406935140 191150287650 203893640160 214088322168 218457471600 223008668925 237875913520 254867050200 267610402710 285451096224 297344891900 305840460240 339822733600 356813870280 382300575300 428176644336 436914943200 446017337850 475751827040 509734100400 535220805420 594689783800 611680920480 669026006775 713627740560 764601150600 856353288672 892034675700 1019468200800 1070441610840 1189379567600 1338052013550 1427255481120 1529202301200 1784069351400 2140883221680 2378759135200 2676104027100 3058404602400 3568138702800 4281766443360 5352208054200 7136277405600 10704416108400 21408832216800
- Sum of all divisors σ(n): 88101090513072
- Sum of proper divisors (its aliquot sum) s(n): 66692258296272
- 21408832216800 is an abundant number, because the sum of its proper divisors (66692258296272) is greater than itself. Its abundance is 45283426079472
Bases of 21408832216800
- Binary: 1001101111000101000011101011011011110111000002
- Hexadecimal: 0x1378A1D6DEE0
- Base-36: 7L72XXX40
Squares and roots of 21408832216800
- 21408832216800 squared (214088322168002) is 458338096887093602202240000
- 21408832216800 cubed (214088322168003) is 9812483414823209302944479141125632000000
-
The
square root of 21408832216800 is 4626967.9290870387 -
The
cube root of 21408832216800 is 27767.1299551571
Scales and comparisons
How big is 21408832216800?- 21,408,832,216,800 seconds is equal to 680,734 years, 33 weeks, 2 days, 22 hours.
-
To count from 1 to 21,408,832,216,800 would take you about one million, seven hundred one thousand, eight hundred thirty-six 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 21408832216800 cubic inches would be around 2313.9 feet tall.
Recreational maths with 21408832216800
- 21408832216800 backwards is 00861223880412
- 21408832216800 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21408832216800's digits is 45
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 21408832216800 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 21408832216800 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/21408832216800/
Chicago style:
Numbermatics. 2024. "Number 21408832216800 - Facts about the integer". https://numbermatics.com/n/21408832216800/
The information we have on file for 21408832216800 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 21408832216800, math, Factors of 21408832216800, curriculum, school, college, exams, university, Prime factorization of 21408832216800, STEM, science, technology, engineering, physics, economics, calculator, twenty-one trillion, four hundred eight billion, eight hundred thirty-two million, two hundred sixteen thousand, eight hundred.