21388014282342400
21,388,014,282,342,400 is an even composite number composed of six prime numbers multiplied together.
21388014282342400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred fifty-six divisors.
Prime factorization of 21388014282342400:
222 × 52 × 7 × 112 × 281 × 857
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 281 × 857)See below for interesting mathematical facts about the number 21388014282342400 from the Numbermatics database.
Names of 21388014282342400
- Cardinal: 21388014282342400 can be written as Twenty-one quadrillion, three hundred eighty-eight trillion, fourteen billion, two hundred eighty-two million, three hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.13880142823424 × 1016
Factors of 21388014282342400
Divisors of 21388014282342400
- Number of divisors d(n): 1656
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 50 55 56 64 70 77 80 88 100 110 112 121 128 140 154 160 175 176 200 220 224 242 256 275 280 281 308 320 350 352 385 400 440 448 484 512 550 560 562 605 616 640 700 704 770 800 847 857 880 896 968 1024 1100 1120 1124 1210 1232 1280 1400 1405 1408 1540 1600 1694 1714 1760 1792 1925 1936 1967 2048 2200 2240 2248 2420 2464 2560 2800 2810 2816 3025 3080 3091 3200 3388 3428 3520 3584 3850 3872 3934 4096 4235 4285 4400 4480 4496 4840 4928 5120 5600 5620 5632 5999 6050 6160 6182 6400 6776 6856 7025 7040 7168 7700 7744 7868 8192 8470 8570 8800 8960 8992 9427 9680 9835 9856 10240 11200 11240 11264 11998 12100 12320 12364 12800 13552 13712 14050 14080 14336 15400 15455 15488 15736 16384 16940 17140 17600 17920 17984 18854 19360 19670 19712 20480 21175 21425 21637 22400 22480 22528 23996 24200 24640 24728 25600 27104 27424 28100 28160 28672 29995 30800 30910 30976 31472 32768 33880 34001 34280 35200 35840 35968 37708 38720 39340 39424 40960 42350 42850 43274 44800 44960 45056 47135 47992 48400 49175 49280 49456 51200 54208 54848 56200 56320 57344 59990 61600 61820 61952 62944 65536 65989 67760 68002 68560 70400 71680 71936 75416 77275 77440 78680 78848 81920 84700 85700 86548 89600 89920 90112 94270 95984 96800 98350 98560 98912 102400 103697 108185 108416 109696 112400 112640 114688 119980 123200 123640 123904 125888 131072 131978 135520 136004 137120 140800 143360 143872 149975 150832 154550 154880 157360 157696 163840 169400 170005 171400 173096 179200 179840 180224 188540 191968 193600 196700 197120 197824 204800 207394 216370 216832 219392 224800 225280 229376 235675 238007 239960 240817 246400 247280 247808 251776 262144 263956 271040 272008 274240 281600 286720 287744 299950 301664 309100 309760 314720 315392 327680 329945 338800 340010 342800 346192 358400 359680 360448 377080 383936 387200 393400 394240 395648 409600 414788 432740 433664 438784 449600 450560 458752 471350 476014 479920 481634 492800 494560 495616 503552 518485 524288 527912 540925 542080 544016 548480 563200 573440 575488 599900 603328 618200 619520 629440 630784 655360 659890 677600 680020 685600 692384 716800 719360 720896 725879 754160 767872 774400 786800 788480 791296 819200 829576 850025 865480 867328 877568 899200 901120 917504 942700 952028 959840 963268 985600 989120 991232 1007104 1036970 1048576 1055824 1081850 1084160 1088032 1096960 1126400 1146880 1150976 1190035 1199800 1204085 1206656 1236400 1239040 1258880 1261568 1310720 1319780 1355200 1360040 1371200 1384768 1433600 1438720 1441792 1451758 1508320 1535744 1548800 1573600 1576960 1582592 1638400 1649725 1659152 1685719 1700050 1730960 1734656 1755136 1798400 1802240 1835008 1885400 1904056 1919680 1926536 1971200 1978240 1982464 2014208 2073940 2097152 2111648 2163700 2168320 2176064 2193920 2252800 2293760 2301952 2380070 2399600 2408170 2413312 2472800 2478080 2517760 2523136 2592425 2621440 2639560 2648987 2710400 2720080 2742400 2769536 2867200 2877440 2883584 2903516 3016640 3071488 3097600 3147200 3153920 3165184 3276800 3299450 3318304 3371438 3400100 3461920 3469312 3510272 3596800 3604480 3629395 3670016 3770800 3808112 3839360 3853072 3942400 3956480 3964928 4028416 4147880 4194304 4223296 4327400 4336640 4352128 4387840 4505600 4587520 4603904 4760140 4799200 4816340 4826624 4945600 4956160 5035520 5046272 5184850 5242880 5279120 5297974 5420800 5440160 5484800 5539072 5734400 5754880 5767168 5807032 5950175 6020425 6033280 6142976 6195200 6294400 6307840 6330368 6553600 6598900 6636608 6742876 6800200 6923840 6938624 7020544 7193600 7208960 7258790 7340032 7541600 7616224 7678720 7706144 7884800 7912960 7929856 8056832 8295760 8428595 8446592 8654800 8673280 8704256 8775680 9011200 9175040 9207808 9520280 9598400 9632680 9653248 9891200 9912320 10071040 10092544 10369700 10485760 10558240 10595948 10841600 10880320 10969600 11078144 11468800 11509760 11534336 11614064 11900350 12040850 12066560 12285952 12390400 12588800 12615680 12660736 13107200 13197800 13244935 13273216 13485752 13600400 13847680 13877248 14041088 14387200 14417920 14517580 14680064 15083200 15232448 15357440 15412288 15769600 15825920 15859712 16113664 16591520 16857190 16893184 17309600 17346560 17408512 17551360 18022400 18146975 18350080 18415616 18542909 19040560 19196800 19265360 19306496 19782400 19824640 20142080 20185088 20739400 20971520 21116480 21191896 21683200 21760640 21939200 22156288 22937600 23019520 23068672 23228128 23800700 24081700 24133120 24571904 24780800 25177600 25231360 25321472 26214400 26395600 26489870 26546432 26971504 27200800 27695360 27754496 28082176 28774400 28835840 29035160 29138857 29360128 30166400 30464896 30714880 30824576 31539200 31651840 31719424 32227328 33183040 33714380 33786368 34619200 34693120 34817024 35102720 36044800 36293950 36700160 36831232 37085818 38081120 38393600 38530720 38612992 39564800 39649280 40284160 40370176 41478800 42142975 42232960 42383792 43366400 43521280 43878400 44312576 45875200 46039040 46137344 46456256 47601400 48163400 48266240 49143808 49561600 50355200 50462720 50642944 52428800 52791200 52979740 53092864 53943008 54401600 55390720 55508992 56164352 57548800 57671680 58070320 58277714 60332800 60929792 61429760 61649152 63078400 63303680 63438848 64454656 66224675 66366080 67428760 67572736 69238400 69386240 69634048 70205440 72089600 72587900 73400320 73662464 74171636 76162240 76787200 77061440 77225984 79129600 79298560 80568320 80740352 82957600 84285950 84465920 84767584 86732800 87042560 87756800 88625152 91750400 92078080 92714545 92912512 95202800 96326800 96532480 98287616 99123200 100710400 100925440 101285888 104857600 105582400 105959480 106185728 107886016 108803200 110781440 111017984 112328704 115097600 115343360 116140640 116555428 120665600 121859584 122859520 123298304 126156800 126607360 126877696 128909312 132449350 132732160 134857520 135145472 138476800 138772480 139268096 140410880 144179200 145175800 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1327321600 1348575200 1351454720 1356281344 1387724800 1392680960 1404108800 1418002432 1456942850 1473249280 1483432720 1486600192 1523244800 1541228800 1544519680 1572601856 1585971200 1611366400 1614807040 1620574208 1631775992 1689318400 1695351680 1698971648 1726176256 1740851200 1772503040 1776287744 1797259264 1841561600 1854290900 1858250240 1864886848 1930649600 1949753344 1965752320 1972772864 2018508800 2025717760 2039719990 2062548992 2119189600 2123714560 2157720320 2162327552 2215628800 2220359680 2228289536 2246574080 2322812800 2331108560 2373492352 2437191680 2457190400 2465966080 2471231488 2532147200 2537553920 2578186240 2654643200 2697150400 2702909440 2712562688 2775449600 2785361920 2808217600 2836004864 2913885700 2946498560 2966865440 2973200384 3046489600 3082457600 3089039360 3145203712 3171942400 3222732800 3241148416 3263551984 3378636800 3390703360 3397943296 3452352512 3481702400 3545006080 3552575488 3594518528 3683123200 3708581800 3716500480 3729773696 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11655542800 11867461760 11892801536 12185958400 12329830400 12356157440 12580814848 12687769600 12890931200 12964593664 13054207936 13514547200 13562813440 13591773184 13809410048 13926809600 14180024320 14732492800 14834327200 14866001920 14919094784 15445196800 15598026752 15726018560 15782182912 16205742080 16317759920 16953516800 16989716480 17261762560 17298620416 17725030400 17762877440 17826316288 17972592640 18582502400 18648868480 18987938816 19497533440 19657523200 19727728640 19769851904 20257177600 20397199900 20625489920 21237145600 21577203200 21623275520 21700501504 22203596800 22282895360 22465740800 22688038912 23311085600 23734923520 23785603072 24371916800 24659660800 24712314880 25161629696 25781862400 26108415872 27029094400 27125626880 27183546368 27618820096 27853619200 28360048640 29464985600 29668654400 29732003840 29838189568 30890393600 31196053504 31452037120 31564365824 32411484160 32635519840 33907033600 33979432960 34523525120 34597240832 35450060800 35652632576 37165004800 37297736960 37975877632 38995066880 39315046400 39455457280 39539703808 40514355200 40794399800 41250979840 42474291200 43154406400 43246551040 43401003008 44407193600 44565790720 44931481600 45376077824 46622171200 47469847040 47571206144 48743833600 49319321600 49424629760 51563724800 52216831744 54058188800 54251253760 54367092736 55237640192 55707238400 56720097280 59337308800 59464007680 59676379136 61780787200 62392107008 62904074240 63128731648 64822968320 65271039680 67814067200 67958865920 69047050240 69194481664 70900121600 71305265152 74330009600 74595473920 75951755264 77990133760 78630092800 78910914560 81028710400 81588799600 84948582400 86308812800 86493102080 86802006016 88814387200 89131581440 89862963200 90752155648 93244342400 94939694080 95142412288 97487667200 98638643200 98849259520 103127449600 104433663488 108116377600 108502507520 108734185472 110475280384 111414476800 113440194560 118674617600 118928015360 119352758272 123561574400 124784214016 125808148480 126257463296 130542079360 135628134400 135917731840 138094100480 138388963328 141800243200 142610530304 148660019200 149190947840 151903510528 155980267520 157260185600 157821829120 162057420800 163177599200 169897164800 172617625600 172986204160 173604012032 178263162880 186488684800 189879388160 190284824576 194975334400 197277286400 197698519040 206254899200 208867326976 216232755200 217005015040 217468370944 220950560768 222828953600 226880389120 237349235200 237856030720 238705516544 247123148800 249568428032 252514926592 261084158720 271256268800 271835463680 276188200960 276777926656 283600486400 297320038400 298381895680 303807021056 311960535040 314520371200 315643658240 324114841600 326355198400 339794329600 345235251200 345972408320 347208024064 356526325760 372977369600 379758776320 380569649152 389950668800 394554572800 417734653952 432465510400 434010030080 434936741888 441901121536 445657907200 453760778240 474698470400 475712061440 477411033088 494246297600 499136856064 505029853184 522168317440 542512537600 543670927360 552376401920 567200972800 594640076800 596763791360 607614042112 623921070080 629040742400 631287316480 652710396800 679588659200 690470502400 691944816640 694416048128 713052651520 745954739200 759517552640 761139298304 779901337600 789109145600 835469307904 864931020800 868020060160 883802243072 891315814400 949396940800 951424122880 954822066176 988492595200 998273712128 1010059706368 1044336634880 1085025075200 1087341854720 1104752803840 1134401945600 1189280153600 1193527582720 1215228084224 1247842140160 1262574632960 1305420793600 1359177318400 1380941004800 1383889633280 1388832096256 1491909478400 1519035105280 1522278596608 1559802675200 1578218291200 1670938615808 1729862041600 1736040120320 1767604486144 1782631628800 1898793881600 1902848245760 1909644132352 2088673269760 2170050150400 2174683709440 2209505607680 2268803891200 2378560307200 2387055165440 2430456168448 2495684280320 2525149265920 2610841587200 2718354636800 2761882009600 2777664192512 2983818956800 3038070210560 3044557193216 3119605350400 3156436582400 3341877231616 3459724083200 3472080240640 3535208972288 3565263257600 3797587763200 3805696491520 3819288264704 4177346539520 4340100300800 4419011215360 4757120614400 4774110330880 4860912336896 4991368560640 5050298531840 5221683174400 5436709273600 5523764019200 5555328385024 5967637913600 6076140421120 6239210700800 6312873164800 6683754463232 6919448166400 6944160481280 7070417944576 7595175526400 7611392983040 7638576529408 8354693079040 8680200601600 8838022430720 9514241228800 9548220661760 9721824673792 10443366348800 10873418547200 11047528038400 11110656770048 11935275827200 12152280842240 12478421401600 12625746329600 13367508926464 13888320962560 15190351052800 15222785966080 15277153058816 16709386158080 17360401203200 17676044861440 19028482457600 19096441323520 19443649347584 20886732697600 22095056076800 23870551654400 24304561684480 24956842803200 25251492659200 26735017852928 27776641925120 30380702105600 30554306117632 33418772316160 34720802406400 35352089722880 38056964915200 38192882647040 38887298695168 41773465395200 44190112153600 47741103308800 48609123368960 53470035705856 55553283850240 60761404211200 61108612235264 66837544632320 69441604812800 76113929830400 76385765294080 77774597390336 83546930790400 88380224307200 95482206617600 97218246737920 106940071411712 121522808422400 122217224470528 133675089264640 138883209625600 152771530588160 167093861580800 176760448614400 190964413235200 194436493475840 213880142823424 243045616844800 267350178529280 277766419251200 305543061176320 334187723161600 381928826470400 388872986951680 427760285646848 486091233689600 534700357058560 611086122352640 668375446323200 763857652940800 855520571293696 972182467379200 1069400714117120 1336750892646400 1527715305881600 1944364934758400 2138801428234240 2673501785292800 3055430611763200 4277602856468480 5347003570585600 10694007141171200 21388014282342400
- Sum of all divisors σ(n): 66946760463911328
- Sum of proper divisors (its aliquot sum) s(n): 45558746181568928
- 21388014282342400 is an abundant number, because the sum of its proper divisors (45558746181568928) is greater than itself. Its abundance is 24170731899226528
Bases of 21388014282342400
- Binary: 10010111111110001001001001000011100000000000000000000002
- Hexadecimal: 0x4BFC4921C00000
- Base-36: 5ULF249JJ0G
Squares and roots of 21388014282342400
- 21388014282342400 squared (213880142823424002) is 457447154941682487704430837760000
- 21388014282342400 cubed (213880142823424003) is 9783886283309601829983688236482102007169024000000
-
The
square root of 21388014282342400 is 146246416.3059813237 -
The
cube root of 21388014282342400 is 277581.2678996107
Scales and comparisons
How big is 21388014282342400?- 21,388,014,282,342,400 seconds is equal to 680,072,696 years, 36 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 21,388,014,282,342,400 would take you about two billion, forty million, two hundred eighteen thousand and ninety 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 21388014282342400 cubic inches would be around 23131.8 feet tall.
Recreational maths with 21388014282342400
- 21388014282342400 backwards is 00424328241088312
- The number of decimal digits it has is: 17
- The sum of 21388014282342400's digits is 52
- More coming soon!
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"Number 21388014282342400 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 21388014282342400 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/21388014282342400/
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The information we have on file for 21388014282342400 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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