21689008309401120
21,689,008,309,401,120 is an even composite number composed of six prime numbers multiplied together.
What does the number 21689008309401120 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
21689008309401120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 21689008309401120:
25 × 32 × 5 × 313 × 412 × 673
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 31 × 31 × 41 × 41 × 67 × 67 × 67)See below for interesting mathematical facts about the number 21689008309401120 from the Numbermatics database.
Names of 21689008309401120
- Cardinal: 21689008309401120 can be written as Twenty-one quadrillion, six hundred eighty-nine trillion, eight billion, three hundred nine million, four hundred one thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.168900830940112 × 1016
Factors of 21689008309401120
Divisors of 21689008309401120
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 41 45 48 60 62 67 72 80 82 90 93 96 120 123 124 134 144 155 160 164 180 186 201 205 240 246 248 268 279 288 310 328 335 360 369 372 402 410 465 480 492 496 536 558 603 615 620 656 670 720 738 744 804 820 930 961 984 992 1005 1072 1116 1206 1230 1240 1271 1312 1340 1395 1440 1476 1488 1608 1640 1681 1845 1860 1922 1968 2010 2077 2144 2232 2412 2460 2480 2542 2680 2747 2790 2883 2952 2976 3015 3216 3280 3362 3690 3720 3813 3844 3936 4020 4154 4464 4489 4805 4824 4920 4960 5043 5084 5360 5494 5580 5766 5904 6030 6231 6355 6432 6560 6724 7380 7440 7626 7688 8040 8241 8308 8405 8649 8928 8978 9610 9648 9840 10086 10168 10385 10720 10988 11160 11439 11532 11808 12060 12462 12710 13448 13467 13735 14415 14760 14880 15129 15252 15376 16080 16482 16616 16810 17298 17956 18693 19065 19220 19296 19680 20172 20336 20770 21976 22320 22445 22878 23064 24120 24723 24924 25215 25420 26896 26934 27470 28830 29520 29791 30258 30504 30752 31155 32160 32964 33232 33620 34596 35912 37386 38130 38440 39401 40344 40401 40672 41205 41540 43245 43952 44640 44890 45756 46128 48240 49446 49848 50430 50840 52111 53792 53868 54940 57195 57660 59040 59582 60516 61008 62310 64387 65928 66464 67240 67335 69192 71824 74772 75645 76260 76880 78802 80688 80802 82410 83080 85157 86490 87904 89373 89780 91512 92256 93465 96480 98892 99696 100860 101680 104222 107736 109880 112627 114390 115320 118203 119164 121032 122016 123615 124620 128774 131856 134480 134670 138384 139159 143648 148955 149544 151290 152520 153760 156333 157604 161376 161604 164820 166160 170314 172980 178746 179560 183024 184049 186930 193161 197005 197784 199392 201720 202005 203360 208444 215472 219760 225254 228780 230640 236406 238328 242064 247230 249240 255471 257548 260555 263712 268119 268960 269340 276768 278318 297910 299088 300763 302580 305040 312666 315208 321935 323208 329640 332320 337881 340628 345960 354609 357492 359120 366048 368098 373860 386322 394010 395568 403440 404010 416888 417477 425785 430944 439520 446865 450508 457560 461280 468999 472812 476656 484128 494460 498480 510942 515096 521110 536238 538680 552147 556636 563135 579483 591015 595820 598176 601526 605160 610080 625332 630416 643870 646416 659280 675762 681256 691920 695795 709218 714984 718240 736196 747720 766413 772644 781665 788020 791136 806880 808020 833776 834954 851570 893730 901016 902289 915120 920245 937998 945624 953312 965805 988920 996960 1013643 1021884 1030192 1042220 1072476 1077360 1104294 1113272 1126270 1158966 1182030 1191640 1203052 1210320 1221431 1250664 1252431 1260832 1277355 1287740 1292832 1318560 1340595 1351524 1362512 1383840 1391590 1418436 1429968 1472392 1495440 1503815 1532826 1545288 1563330 1576040 1615441 1616040 1656441 1667552 1669908 1689405 1703140 1773045 1787460 1802032 1804578 1830240 1840490 1875996 1891248 1931610 1977840 1995997 2027286 2043768 2060384 2084440 2087385 2144952 2154720 2208588 2226544 2252540 2317932 2344995 2364060 2383280 2406104 2420640 2442862 2501328 2504862 2554710 2575480 2639867 2681190 2703048 2706867 2725024 2760735 2783180 2836872 2859936 2897415 2944784 2990880 3007630 3065652 3090576 3126660 3152080 3230882 3232080 3312882 3339816 3378810 3406280 3491437 3546090 3574920 3604064 3609156 3664293 3680980 3751992 3782496 3832065 3863220 3955680 3991994 4054572 4087536 4168880 4174770 4289904 4313929 4417176 4453088 4505080 4511445 4635864 4689990 4728120 4766560 4812208 4846323 4885724 5002656 5009724 5068215 5109420 5150960 5279734 5362380 5406096 5413734 5521470 5566360 5673744 5705519 5794830 5889568 5987991 6015260 6107155 6131304 6181152 6253320 6262155 6304160 6461764 6464160 6625764 6679632 6757620 6812560 6982874 7092180 7149840 7218312 7328586 7361960 7503984 7546009 7664130 7726440 7919601 7983988 8077205 8109144 8175072 8282205 8337760 8349540 8579808 8627858 8834352 9010160 9022890 9271728 9323653 9379980 9456240 9624416 9692646 9771448 9979985 10019448 10136430 10218840 10301920 10474311 10559468 10724760 10812192 10827468 10992879 11042940 11132720 11347488 11411038 11589660 11975982 12030520 12214310 12262608 12331283 12506640 12524310 12923528 12941787 13199335 13251528 13359264 13515240 13534335 13625120 13965748 14184360 14299680 14436624 14538969 14657172 14723920 15007968 15092018 15328260 15452880 15839202 15967976 16154410 16218288 16564410 16699080 17116557 17255716 17457185 17668704 17963973 18020320 18045780 18321465 18543456 18647306 18759960 18912480 19385292 19542896 19959970 20038896 20272860 20437680 20948622 21118936 21449520 21569645 21654936 21985758 22085880 22265440 22638027 22822076 23179320 23758803 23951964 24061040 24231615 24428620 24525216 24662566 25013280 25048620 25847056 25883574 26398670 26503056 27030480 27068670 27931496 27970959 28368720 28527595 28873248 29077938 29314344 29447840 29939955 30184036 30656520 30905760 31422933 31678404 31935952 32308820 32436576 33128820 33398160 34233114 34511432 34914370 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268800915990 275234236560 282115092474 284408711112 286720977056 290068585960 301974386130 313461213860 322106011872 322561099188 326327159205 328980225540 336853841760 348082303152 355510888890 358401221320 364019474160 367361251853 376153456632 379211614816 394776270648 402632514840 403201373985 416207869920 426613066668 430081465584 435102878940 438640300720 449606308238 470191820790 474014518520 483159017808 485864881483 493470338310 501537942176 522123454728 526368360864 533266333335 536843353120 537601831980 550468473120 564230184948 568817422224 580137171920 603948772260 626922427720 645122198376 652654318410 657960451080 674409462357 696164606304 705287731185 711021777780 716802442640 728038948320 734722503706 752306913264 789552541296 805265029680 806402747970 853226133336 860162931168 870205757880 877280601440 899212616476 940383641580 948029037040 966318035616 971729762966 986940676620 1044246909456 1066532666670 1075203663960 1102083755559 1124015770595 1128460369896 1137634844448 1160274343840 1207897544520 1253844855440 1290244396752 1305308636820 1315920902160 1348818924714 1410575462370 1422043555560 1433604885280 1457594644449 1469445007412 1504613826528 1579105082592 1610530059360 1612805495940 1706452266672 1740411515760 1798425232952 1836806259265 1880767283160 1896058074080 1943459525932 1973881353240 2023228387071 2088493818912 2133065333340 2150407327920 2204167511118 2248031541190 2256920739792 2415795089040 2429324407415 2507689710880 2580488793504 2610617273640 2631841804320 2697637849428 2821150924740 2844087111120 2915189288898 2938890014824 3225610991880 3306251266677 3372047311785 3412904533344 3480823031520 3596850465904 3673612518530 3761534566320 3886919051864 3947762706480 4046456774142 4266130666680 4300814655840 4372783933347 4408335022236 4496063082380 4513841479584 4831590178080 4858648814830 5221234547280 5395275698856 5510418777795 5642301849480 5688174222240 5830378577796 5877780029648 6451221983760 6612502533354 6744094623570 7193700931808 7287973222245 7347225037060 7523069132640 7773838103728 7895525412960 8092913548284 8532261333360 8745567866694 8816670044472 8992126164760 9717297629660 10116141935355 10442469094560 10790551397712 11020837555590 11284603698960 11660757155592 11755560059296 12902443967520 13225005066708 13488189247140 14575946444490 14694450074120 15061811325973 15547676207456 16185827096568 16531256333385 17064522666720 17491135733388 17633340088944 17984252329520 19434595259320 20232283870710 21581102795424 21863919666735 22041675111180 22569207397920 23321514311184 26450010133416 26976378494280 29151892888980 29388900148240 30123622651946 32371654193136 33062512666770 34982271466776 35266680177888 35968504659040 38869190518640 40464567741420 43727839333470 44083350222360 45185433977919 46643028622368 52900020266832 53952756988560 58303785777960 58777800296480 60247245303892 64743308386272 66125025333540 69964542933552 75309056629865 77738381037280 80929135482840 87455678666940 88166700444720 90370867955838 105800040533664 107905513977120 116607571555920 120494490607784 132250050667080 135556301933757 139929085867104 150618113259730 161858270965680 174911357333880 176333400889440 180741735911676 225927169889595 233215143111840 240988981215568 264500101334160 271112603867514 301236226519460 323716541931360 349822714667760 361483471823352 451854339779190 481977962431136 529000202668320 542225207735028 602472453038920 677781509668785 699645429335520 722966943646704 903708679558380 1084450415470056 1204944906077840 1355563019337570 1445933887293408 1807417359116760 2168900830940112 2409889812155680 2711126038675140 3614834718233520 4337801661880224 5422252077350280 7229669436467040 10844504154700560 21689008309401120
- Sum of all divisors σ(n): 79579413424143360
- Sum of proper divisors (its aliquot sum) s(n): 57890405114742240
- 21689008309401120 is an abundant number, because the sum of its proper divisors (57890405114742240) is greater than itself. Its abundance is 36201396805341120
Bases of 21689008309401120
- Binary: 10011010000111000001001110000111100111111110110001000002
- Hexadecimal: 0x4D0E09C3CFF620
- Base-36: 5XK40V5TFS0
Squares and roots of 21689008309401120
- 21689008309401120 squared (216890083094011202) is 470413081445270829506973057254400
- 21689008309401120 cubed (216890083094011203) is 10202793232317464845161388047361651359535484928000
-
The
square root of 21689008309401120 is 147271885.6720491643 -
The
cube root of 21689008309401120 is 278877.3427831729
Scales and comparisons
How big is 21689008309401120?- 21,689,008,309,401,120 seconds is equal to 689,643,375 years, 38 weeks, 5 hours, 12 minutes.
-
To count from 1 to 21,689,008,309,401,120 would take you about two billion, sixty-eight million, nine hundred thirty thousand, one hundred twenty-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 21689008309401120 cubic inches would be around 23239.8 feet tall.
Recreational maths with 21689008309401120
- 21689008309401120 backwards is 02110490380098612
- The number of decimal digits it has is: 17
- The sum of 21689008309401120's digits is 54
- More coming soon!
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"Number 21689008309401120 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 21689008309401120 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/21689008309401120/
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Numbermatics. 2024. "Number 21689008309401120 - Facts about the integer". https://numbermatics.com/n/21689008309401120/
The information we have on file for 21689008309401120 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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