21437046808320
21,437,046,808,320 is an even composite number composed of eight prime numbers multiplied together.
What does the number 21437046808320 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1152 divisors.
21437046808320 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 21437046808320:
28 × 3 × 5 × 11 × 13 × 97 × 127 × 3169
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 13 × 97 × 127 × 3169)See below for interesting mathematical facts about the number 21437046808320 from the Numbermatics database.
Names of 21437046808320
- Cardinal: 21437046808320 can be written as Twenty-one trillion, four hundred thirty-seven billion, forty-six million, eight hundred eight thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.143704680832 × 1013
Factors of 21437046808320
Divisors of 21437046808320
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 44 48 52 55 60 64 65 66 78 80 88 96 97 104 110 120 127 128 130 132 143 156 160 165 176 192 194 195 208 220 240 254 256 260 264 286 291 312 320 330 352 381 384 388 390 416 429 440 480 485 508 520 528 572 582 624 635 640 660 704 715 762 768 776 780 832 858 880 960 970 1016 1040 1056 1067 1144 1164 1248 1261 1270 1280 1320 1397 1408 1430 1455 1524 1552 1560 1651 1664 1716 1760 1905 1920 1940 2032 2080 2112 2134 2145 2288 2328 2496 2522 2540 2640 2794 2816 2860 2910 3048 3104 3120 3169 3201 3302 3328 3432 3520 3783 3810 3840 3880 4064 4160 4191 4224 4268 4290 4576 4656 4953 4992 5044 5080 5280 5335 5588 5720 5820 6096 6208 6240 6305 6338 6402 6604 6864 6985 7040 7566 7620 7760 8128 8255 8320 8382 8448 8536 8580 9152 9312 9507 9906 9984 10088 10160 10560 10670 11176 11440 11640 12192 12319 12416 12480 12610 12676 12804 13208 13728 13871 13970 14080 15132 15240 15520 15845 16005 16256 16510 16640 16764 17072 17160 18161 18304 18624 18915 19014 19812 20176 20320 20955 21120 21340 22352 22880 23280 24384 24638 24765 24832 24960 25220 25352 25608 26416 27456 27742 27940 30264 30480 31040 31690 32010 32512 33020 33528 34144 34320 34859 36322 36608 36957 37248 37830 38028 39624 40352 40640 41197 41613 41910 42240 42680 44704 45760 46560 47535 48768 49276 49530 49920 50440 50704 51216 52832 54483 54912 55484 55880 60528 60960 61595 62080 63380 64020 66040 67056 68288 68640 69355 69718 72644 73914 74496 75660 76056 79248 80704 81280 82394 83226 83820 85360 89408 90805 91520 93120 95070 97536 98552 99060 100880 101408 102432 104577 105664 108966 109824 110968 111760 121056 121920 123190 123591 124160 126760 128040 132080 134112 135509 136576 137280 138710 139436 145288 147828 151320 152112 158496 160147 161408 162560 164788 166452 167640 170720 174295 178816 181610 183040 184785 186240 190140 197104 198120 201760 202816 204864 205985 208065 209154 211328 217932 221936 223520 242112 243840 246380 247182 253520 256080 264160 268224 271018 272415 273152 274560 277420 278872 290576 295656 302640 304224 307393 316992 320294 322816 329576 332904 335280 341440 348590 357632 363220 369570 372480 380280 394208 396240 402463 403520 405632 406527 409728 411970 416130 418308 422656 435864 443872 447040 453167 480441 484224 487680 492760 494364 507040 512160 522885 528320 536448 542036 544830 549120 554840 557744 581152 591312 605280 608448 614786 617955 633984 640588 659152 665808 670560 677545 682880 697180 726440 739140 760560 788416 792480 800735 804926 807040 811264 813054 819456 823940 832260 836616 871728 887744 894080 906334 922179 960882 968448 985520 988728 1014080 1024320 1045770 1056640 1072896 1084072 1089660 1109680 1115488 1162304 1182624 1207389 1210560 1216896 1229572 1235910 1267968 1281176 1318304 1331616 1341120 1355090 1359501 1365760 1394360 1452880 1478280 1521120 1536965 1576832 1584960 1601470 1609852 1614080 1626108 1647880 1664520 1673232 1743456 1761617 1775488 1788160 1812668 1844358 1921764 1971040 1977456 2012315 2028160 2032635 2048640 2091540 2113280 2168144 2179320 2219360 2230976 2265835 2324608 2365248 2402205 2414778 2421120 2433792 2459144 2471820 2562352 2636608 2663232 2682240 2710180 2719002 2788720 2905760 2956560 3042240 3073930 3153664 3169920 3202940 3219704 3252216 3295760 3329040 3346464 3381323 3486912 3523234 3550976 3625336 3688716 3843528 3942080 3954912 3996109 4024630 4056320 4065270 4097280 4183080 4336288 4358640 4427093 4438720 4461952 4531670 4610895 4649216 4730496 4804410 4829556 4842240 4918288 4943640 5124704 5232019 5273216 5284851 5326464 5364480 5420360 5438004 5577440 5811520 5913120 6036945 6084480 6147860 6339840 6405880 6439408 6504432 6591520 6658080 6692928 6762646 6797505 6973824 7046468 7250672 7377432 7687056 7884160 7909824 7992218 8049260 8130540 8366160 8672576 8717280 8808085 8854186 8877440 8923904 9063340 9221790 9460992 9608820 9659112 9836576 9887280 10143969 10249408 10464038 10546432 10569702 10652928 10840720 10876008 11154880 11623040 11826240 11988327 12073890 12168960 12295720 12811760 12878816 13008864 13183040 13281279 13316160 13385856 13525292 13595010 13947648 14092936 14501344 14754864 15374112 15696057 15768320 15819648 15984436 16098520 16261080 16732320 16906615 17345152 17434560 17616170 17708372 17754880 18126680 18443580 19217640 19318224 19673152 19774560 19980545 20287938 20498816 20928076 21139404 21681440 21752016 22135465 22309760 23246080 23652480 23976654 24147780 24591440 25623520 25757632 26017728 26160095 26366080 26424255 26562558 26632320 26771712 27050584 27190020 28185872 29002688 29509728 30748224 31392114 31639296 31968872 32197040 32522160 33464640 33813230 34690304 34869120 35232340 35416744 36253360 36887160 38435280 38636448 39038911 39346304 39549120 39961090 40575876 40997632 41856152 42278808 43362880 43504032 43957199 44270930 44619520 47304960 47953308 48295560 49182880 50719845 51247040 51515264 52035456 52320190 52732160 52848510 53125116 53264640 54101168 54380040 56371744 57552209 58005376 59019456 59941635 61496448 62784228 63937744 64394080 65044320 66406395 66929280 67626460 69738240 70464680 70833488 72506720 73774320 76870560 77272896 78077822 78480285 78692608 79098240 79922180 81151752 83712304 84557616 86725760 87008064 87914398 88541860 95906616 96591120 98365760 101439690 102494080 103030528 104070912 104640380 105697020 106250232 108202336 108760080 112743488 115104418 116010752 117116733 118038912 119883270 122992896 125568456 127875488 128788160 130088640 131871597 132812790 133858560 135252920 140929360 141666976 145013440 147548640 153741120 154545792 156155644 156960570 158196480 159844360 162303504 167424608 169115232 172656627 173451520 174016128 175828796 177083720 191813232 193182240 195194555 196731520 202879380 204988160 209280760 211394040 212500464 216404672 217520160 219785995 225486976 230208836 234233466 236077824 239766540 251136912 255750976 257576320 260177280 263743194 265625580 270505840 281858720 283333952 287761045 290026880 295097280 307482240 309091584 312311288 313921140 319688720 324607008 334849216 338230464 345313254 348032256 351657592 354167440 383626464 386364480 390389110 393463040 405758760 418561520 422788080 425000928 429428021 432809344 435040320 439571990 450973952 460417672 468466932 479533080 502273824 507505843 511501952 515152640 520354560 527486388 531251160 541011680 563717440 566667904 575522090 580053760 585583665 590194560 614964480 624622576 627842280 639377440 649214016 659357985 669698432 676460928 690626508 703315184 708334880 767252928 772728960 780778220 811517520 837123040 845576160 850001856 858856042 863283135 865618688 870080640 879143980 920835344 936933864 959066160 1004547648 1015011686 1023003904 1054972776 1062502320 1082023360 1127434880 1133335808 1151044180 1171167330 1180389120 1249245152 1255684560 1278754880 1288284063 1298428032 1318715970 1339396864 1352921856 1381253016 1406630368 1416669760 1522517529 1534505856 1545457920 1561556440 1623035040 1674246080 1691152320 1700003712 1717712084 1726566270 1740161280 1758287960 1841670688 1873867728 1918132320 2009095296 2030023372 2109945552 2125004640 2147140105 2164046720 2254869760 2302088360 2342334660 2498490304 2511369120 2537529215 2557509760 2576568126 2596856064 2637431940 2762506032 2813260736 2833339520 3045035058 3069011712 3123112880 3246070080 3348492160 3382304640 3400007424 3435424168 3453132540 3516575920 3683341376 3747735456 3836264640 4018190592 4060046744 4219891104 4250009280 4294280210 4328093440 4604176720 4684669320 4996980608 5022738240 5075058430 5115019520 5153136252 5274863880 5525012064 5582564273 5626521472 5666679040 6090070116 6246225760 6441420315 6492140160 6696984320 6764609280 6870848336 6906265080 7033151840 7366682752 7495470912 7612587645 7672529280 8120093488 8439782208 8500018560 8588560420 9208353440 9369338640 9993961216 10045476480 10150116860 10306272504 10549727760 11050024128 11165128546 11253042944 12180140232 12492451520 12882840630 12984280320 13741696672 13812530160 14066303680 14733365504 14990941824 15225175290 15345058560 16240186976 16747692819 16879564416 17000037120 17177120840 18416706880 18738677280 20090952960 20300233720 20612545008 21099455520 22100048256 22330257092 24360280464 24984903040 25765681260 27483393344 27625060320 27912821365 28132607360 29981883648 30450350580 32480373952 33495385638 33759128832 34354241680 36833413760 37477354560 40600467440 41225090016 42198911040 44200096512 44660514184 48720560928 49969806080 51531362520 54966786688 55250120640 55825642730 56265214720 60900701160 64960747904 66990771276 68708483360 73666827520 74954709120 81200934880 82450180032 83738464095 84397822080 89321028368 97441121856 103062725040 109933573376 110500241280 111651285460 121801402320 129921495808 133981542552 137416966720 149909418240 162401869760 164900360064 167476928190 168795644160 178642056736 194882243712 206125450080 221000482560 223302570920 243602804640 267963085104 274833933440 324803739520 329800720128 334953856380 357284113472 389764487424 412250900160 446605141840 487205609280 535926170208 549667866880 649607479040 669907712760 714568226944 824501800320 893210283680 974411218560 1071852340416 1339815425520 1429136453888 1649003600640 1786420567360 1948822437120 2143704680832 2679630851040 3572841134720 4287409361664 5359261702080 7145682269440 10718523404160 21437046808320
- Sum of all divisors σ(n): 81928825896960
- Sum of proper divisors (its aliquot sum) s(n): 60491779088640
- 21437046808320 is an abundant number, because the sum of its proper divisors (60491779088640) is greater than itself. Its abundance is 39054732280320
Bases of 21437046808320
- Binary: 1001101111111001100111000111101011111000000002
- Hexadecimal: 0x137F338F5F00
- Base-36: 7LK1K6J9C
Squares and roots of 21437046808320
- 21437046808320 squared (214370468083202) is 459546975862102698821222400
- 21437046808320 cubed (214370468083203) is 9851330032177796740209543876200890368000
-
The
square root of 21437046808320 is 4630015.8540030941 -
The
cube root of 21437046808320 is 27779.3226537921
Scales and comparisons
How big is 21437046808320?- 21,437,046,808,320 seconds is equal to 681,631 years, 40 weeks, 3 days, 16 hours, 32 minutes.
-
To count from 1 to 21,437,046,808,320 would take you about one million, seven hundred four thousand and seventy-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 21437046808320 cubic inches would be around 2314.9 feet tall.
Recreational maths with 21437046808320
- 21437046808320 backwards is 02380864073412
- 21437046808320 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 21437046808320's digits is 48
- More coming soon!
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The information we have on file for 21437046808320 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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