20821283543068800
20,821,283,543,068,800 is an even composite number composed of six prime numbers multiplied together.
20821283543068800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 20821283543068800:
27 × 3 × 52 × 11 × 17 × 11598308569
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 17 × 11598308569)See below for interesting mathematical facts about the number 20821283543068800 from the Numbermatics database.
Names of 20821283543068800
- Cardinal: 20821283543068800 can be written as Twenty quadrillion, eight hundred twenty-one trillion, two hundred eighty-three billion, five hundred forty-three million, sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.08212835430688 × 1016
Factors of 20821283543068800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 11598308607
Divisors of 20821283543068800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 32 33 34 40 44 48 50 51 55 60 64 66 68 75 80 85 88 96 100 102 110 120 128 132 136 150 160 165 170 176 187 192 200 204 220 240 255 264 272 275 300 320 330 340 352 374 384 400 408 425 440 480 510 528 544 550 561 600 640 660 680 704 748 800 816 825 850 880 935 960 1020 1056 1088 1100 1122 1200 1275 1320 1360 1408 1496 1600 1632 1650 1700 1760 1870 1920 2040 2112 2176 2200 2244 2400 2550 2640 2720 2805 2992 3200 3264 3300 3400 3520 3740 4080 4224 4400 4488 4675 4800 5100 5280 5440 5610 5984 6528 6600 6800 7040 7480 8160 8800 8976 9350 9600 10200 10560 10880 11220 11968 13200 13600 14025 14960 16320 17600 17952 18700 20400 21120 22440 23936 26400 27200 28050 29920 32640 35200 35904 37400 40800 44880 52800 54400 56100 59840 71808 74800 81600 89760 105600 112200 119680 149600 163200 179520 224400 299200 359040 448800 598400 897600 1795200 11598308569 23196617138 34794925707 46393234276 57991542845 69589851414 92786468552 115983085690 127581394259 139179702828 173974628535 185572937104 197171245673 231966171380 255162788518 278359405656 289957714225 347949257070 371145874208 382744182777 394342491346 463932342760 510325577036 556718811312 579915428450 591513737019 637906971295 695898514140 742291748416 765488365554 788684982692 869873142675 927864685520 985856228365 1020651154072 1113437622624 1159830856900 1183027474038 1275813942590 1391797028280 1484583496832 1530976731108 1577369965384 1739746285350 1855729371040 1913720913885 1971712456730 2041302308144 2168883702403 2226875245248 2319661713800 2366054948076 2551627885180 2783594056560 2957568685095 3061953462216 3154739930768 3189534856475 3479492570700 3711458742080 3827441827770 3943424913460 4082604616288 4337767404806 4453750490496 4639323427600 4732109896152 4929281141825 5103255770360 5567188113120 5915137370190 6123906924432 6309479861536 6379069712950 6506651107209 6958985141400 7422917484160 7654883655540 7886849826920 8165209232576 8675534809612 9278646855200 9464219792304 9568604569425 9858562283650 10206511540720 10844418512015 11134376226240 11830274740380 12247813848864 12618959723072 12758139425900 13013302214418 13917970282800 14787843425475 15309767311080 15773699653840 16330418465152 17351069619224 18557293710400 18928439584608 19137209138850 19717124567300 20413023081440 21688837024030 22268752452480 23660549480760 24495627697728 25237919446144 25516278851800 26026604428836 27835940565600 29575686850950 30619534622160 31547399307680 32533255536045 34702139238448 37114587420800 37856879169216 38274418277700 39434249134600 40826046162880 43377674048060 47321098961520 48991255395456 51032557703600 52053208857672 54222092560075 55671881131200 59151373701900 61239069244320 63094798615360 65066511072090 69404278476896 75713758338432 76548836555400 78868498269200 81652092325760 86755348096120 94642197923040 102065115407200 104106417715344 108444185120150 111343762262400 118302747403800 122478138488640 126189597230720 130133022144180 138808556953792 153097673110800 157736996538400 162666277680225 173510696192240 189284395846080 204130230814400 208212835430688 216888370240300 236605494807600 244956276977280 260266044288360 277617113907584 306195346221600 315473993076800 325332555360450 347021392384480 378568791692160 408260461628800 416425670861376 433776740480600 473210989615200 520532088576720 612390692443200 630947986153600 650665110720900 694042784768960 832851341722752 867553480961200 946421979230400 1041064177153440 1224781384886400 1301330221441800 1388085569537920 1735106961922400 1892843958460800 2082128354306880 2602660442883600 3470213923844800 4164256708613760 5205320885767200 6940427847689600 10410641771534400 20821283543068800
- Sum of all divisors σ(n): 79215519668414400
- Sum of proper divisors (its aliquot sum) s(n): 58394236125345600
- 20821283543068800 is an abundant number, because the sum of its proper divisors (58394236125345600) is greater than itself. Its abundance is 37572952582276800
Bases of 20821283543068800
- Binary: 10010011111100011011000110110010101101000110000100000002
- Hexadecimal: 0x49F8D8D95A3080
- Base-36: 5P0J1LZXL6O
Squares and roots of 20821283543068800
- 20821283543068800 squared (208212835430688002) is 433525848380867641464521533440000
- 20821283543068800 cubed (208212835430688003) is 9026564612387499197655070316316155259420672000000
-
The
square root of 20821283543068800 is 144295819.5619983995 -
The
cube root of 20821283543068800 is 275107.5438023039
Scales and comparisons
How big is 20821283543068800?- 20,821,283,543,068,800 seconds is equal to 662,052,412 years, 10 weeks, 6 days, 18 hours, 40 minutes.
-
To count from 1 to 20,821,283,543,068,800 would take you about one billion, nine hundred eighty-six million, one hundred fifty-seven thousand, two 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 20821283543068800 cubic inches would be around 22925.6 feet tall.
Recreational maths with 20821283543068800
- 20821283543068800 backwards is 00886034538212802
- 20821283543068800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 20821283543068800's digits is 60
- More coming soon!
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