21428000742400
21,428,000,742,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21428000742400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1584 divisors.
21428000742400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 21428000742400:
210 × 52 × 72 × 31 × 37 × 53 × 281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 31 × 37 × 53 × 281)See below for interesting mathematical facts about the number 21428000742400 from the Numbermatics database.
Names of 21428000742400
- Cardinal: 21428000742400 can be written as Twenty-one trillion, four hundred twenty-eight billion, seven hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.14280007424 × 1013
Factors of 21428000742400
Divisors of 21428000742400
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 37 40 49 50 53 56 62 64 70 74 80 98 100 106 112 124 128 140 148 155 160 175 185 196 200 212 217 224 245 248 256 259 265 280 281 296 310 320 350 370 371 392 400 424 434 448 490 496 512 518 530 560 562 592 620 640 700 740 742 775 784 800 848 868 896 925 980 992 1024 1036 1060 1085 1120 1124 1147 1184 1225 1240 1280 1295 1325 1400 1405 1480 1484 1519 1550 1568 1600 1643 1696 1736 1792 1813 1850 1855 1960 1961 1967 1984 2072 2120 2170 2240 2248 2294 2368 2450 2480 2560 2590 2597 2650 2800 2810 2960 2968 3038 3100 3136 3200 3286 3392 3472 3584 3626 3700 3710 3920 3922 3934 3968 4144 4240 4340 4480 4496 4588 4736 4900 4960 5120 5180 5194 5300 5425 5600 5620 5735 5920 5936 6076 6200 6272 6400 6475 6572 6784 6944 7025 7168 7252 7400 7420 7595 7840 7844 7868 7936 8029 8215 8288 8480 8680 8711 8960 8992 9065 9176 9275 9472 9800 9805 9835 9920 10360 10388 10397 10600 10850 11200 11240 11470 11501 11840 11872 12152 12400 12544 12800 12950 12985 13144 13568 13727 13769 13888 14050 14504 14800 14840 14893 15190 15680 15688 15736 15872 16058 16430 16576 16960 17360 17422 17920 17984 18130 18352 18550 18944 19600 19610 19670 19840 20720 20776 20794 21200 21700 22400 22480 22940 23002 23680 23744 24304 24800 25088 25600 25900 25970 26288 27136 27454 27538 27776 28100 28675 29008 29600 29680 29786 30380 31360 31376 31472 31744 32116 32860 33152 33920 34720 34844 35840 35968 36260 36704 37100 37888 37975 39200 39220 39340 39680 40145 41075 41440 41552 41588 42400 43400 43555 44800 44960 45325 45880 46004 47360 47488 48608 49025 49175 49600 50176 51800 51940 51985 52576 54272 54908 55076 55552 56200 56203 57350 57505 58016 59200 59360 59572 60760 60791 60977 62720 62752 62944 64232 64925 65720 66304 67840 68635 68845 69440 69688 71936 72520 72779 73408 74200 74465 75950 78400 78440 78680 79360 80290 80507 82150 82880 83104 83176 84800 86800 87110 89600 89920 90650 91760 92008 94720 94976 96089 97216 98050 98350 99200 103600 103880 103970 104251 105152 109816 110152 111104 112400 112406 114700 115010 116032 118400 118720 119144 121520 121582 121954 125440 125504 125888 128464 129850 131440 132608 135680 137270 137690 138880 139376 143872 145040 145558 146816 148400 148930 151900 156800 156880 157360 158720 160580 161014 164300 165760 166208 166352 169600 173600 174220 179200 179840 181300 183520 184016 189440 189952 192178 194432 196100 196700 198400 200725 207200 207760 207940 208502 210304 217775 219632 220304 222208 224800 224812 229400 230020 232064 236800 237440 238288 243040 243164 243908 250880 251008 251776 256928 259700 259925 262880 265216 271360 274540 275380 277760 278752 281015 287525 287744 290080 291116 293632 296800 297860 303800 303955 304885 313600 313760 314720 321160 322028 322307 328600 331520 332416 332704 339200 343175 344225 347200 348440 359680 362600 363895 367040 368032 372325 379904 384356 388864 392200 393400 396800 401450 402535 414400 415520 415880 417004 420608 425537 426839 435550 439264 440608 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97563200 98395136 101890600 102771200 103048960 103138240 103416992 106753024 108004036 108937472 109270784 110208200 111500800 112807450 113112335 116446400 116761120 118190848 119150360 119575897 122993920 123433184 126344344 128811200 128922800 129271240 130419968 133081600 133441280 135005045 136171840 136588480 136658168 141066496 143879680 144393536 145951400 147212800 147738560 148937950 153742400 154291480 155624960 156101120 157930430 161589050 163024960 165021184 166801600 170214800 170735600 170822710 175705600 176243200 176333120 179849600 180491920 180979736 184673200 186314240 186817792 190630400 190640576 192864350 194531200 195126400 203781200 205542400 206097920 206276480 206833984 216008072 217874944 218541568 220416400 223001600 225614900 226224670 232892800 233522240 236381696 238300720 239151794 245987840 246866368 252688688 257622400 257845600 258542480 260839936 266163200 266882560 270010090 272343680 273176960 273316336 282132992 287759360 288787072 291902800 294425600 295477120 297875900 307484800 308582960 311249920 312202240 315860860 323178100 326049920 330042368 333603200 340429600 341471200 341645420 351411200 352486400 352666240 359699200 360983840 361959472 369346400 372628480 373635584 381260800 381281152 385728700 389062400 390252800 394826075 407562400 412195840 412552960 413667968 427056775 432016144 435749888 437083136 440832800 451229800 452449340 465785600 467044480 472763392 476601440 478303588 491975680 493732736 505377376 515244800 515691200 517084960 521679872 533765120 540020180 544687360 546353920 546632672 564265984 565561675 577574144 583805600 590954240 595751800 597879485 614969600 617165920 631721720 646356200 652099840 667206400 675025225 680859200 682942400 683290840 705332480 719398400 721967680 723918944 738692800 747271168 762562304 771457400 778124800 780505600 789652150 815124800 825105920 827335936 837031279 854113550 864032288 881665600 902459600 904898680 931571200 934088960 953202880 956607176 987465472 1010754752 1030489600 1031382400 1034169920 1080040360 1089374720 1092707840 1093265344 1131123350 1155148288 1167611200 1181908480 1191503600 1195758970 1229939200 1234331840 1263443440 1292712400 1304199680 1334412800 1350050450 1361718400 1365884800 1366581680 1410664960 1438796800 1443935360 1447837888 1477385600 1525124608 1542914800 1556249600 1561011200 1579304300 1630249600 1650211840 1654671872 1674062558 1708227100 1728064576 1763331200 1804919200 1809797360 1863142400 1868177920 1906405760 1913214352 1974930944 2021509504 2060979200 2062764800 2068339840 2160080720 2178749440 2185415680 2186530688 2262246700 2310296576 2335222400 2363816960 2383007200 2391517940 2459878400 2468663680 2526886880 2585424800 2608399360 2668825600 2700100900 2723436800 2731769600 2733163360 2821329920 2887870720 2895675776 2954771200 2989397425 3050249216 3085829600 3158608600 3260499200 3309343744 3348125116 3416454200 3456129152 3526662400 3609838400 3619594720 3736355840 3812811520 3826428704 3949861888 4043019008 4125529600 4136679680 4185156395 4320161440 4373061376 4524493400 4670444800 4766014400 4783035880 4937327360 5053773760 5170849600 5400201800 5446873600 5463539200 5466326720 5775741440 5791351552 5909542400 5978794850 6171659200 6317217200 6520998400 6696250232 6832908400 6912258304 7053324800 7219676800 7239189440 7625623040 7652857408 8086038016 8251059200 8273359360 8370312790 8640322880 8746122752 9048986800 9340889600 9532028800 9566071760 9874654720 10107547520 10341699200 10800403600 10893747200 10927078400 10932653440 11551482880 11582703104 11819084800 11957589700 12343318400 12634434400 13041996800 13392500464 13665816800 13824516608 14106649600 14439353600 14478378880 15251246080 15305714816 16172076032 16546718720 16740625580 17280645760 17492245504 18097973600 18681779200 19064057600 19132143520 19749309440 20215095040 20683398400 20925781975 21600807200 21865306880 23165406208 23915179400 24686636800 25268868800 26785000928 27331633600 27649033216 28878707200 28956757760 30611429632 33481251160 34561291520 36195947200 38128115200 38264287040 40430190080 41366796800 41851563950 43201614400 43730613760 47830358800 49373273600 50537737600 53570001856 54663267200 57757414400 57913515520 61222859264 66962502320 69122583040 72391894400 76256230400 76528574080 80860380160 82733593600 83703127900 86403228800 87461227520 95660717600 98746547200 101075475200 107140003712 109326534400 115827031040 122445718528 133925004640 138245166080 144783788800 153057148160 167406255800 172806457600 191321435200 202150950400 214280007424 218653068800 267850009280 289567577600 306114296320 334812511600 345612915200 382642870400 404301900800 428560014848 437306137600 535700018560 579135155200 612228592640 669625023200 691225830400 765285740800 857120029696 1071400037120 1339250046400 1530571481600 2142800074240 2678500092800 3061142963200 4285600148480 5357000185600 10714000371200 21428000742400
- Sum of all divisors σ(n): 66977793361152
- Sum of proper divisors (its aliquot sum) s(n): 45549792618752
- 21428000742400 is an abundant number, because the sum of its proper divisors (45549792618752) is greater than itself. Its abundance is 24121791876352
Bases of 21428000742400
- Binary: 1001101111101000110000101111101011100000000002
- Hexadecimal: 0x137D185F5C00
- Base-36: 7LFVYDY4G
Squares and roots of 21428000742400
- 21428000742400 squared (214280007424002) is 459159215816294951157760000
- 21428000742400 cubed (214280007424003) is 9838864017391370035425853019521024000000
-
The
square root of 21428000742400 is 4629038.8573007247 -
The
cube root of 21428000742400 is 27775.4146382015
Scales and comparisons
How big is 21428000742400?- 21,428,000,742,400 seconds is equal to 681,344 years, 7 weeks, 2 days, 20 hours, 26 minutes, 40 seconds.
-
To count from 1 to 21,428,000,742,400 would take you about one million, seven hundred three thousand, three hundred sixty 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 21428000742400 cubic inches would be around 2314.6 feet tall.
Recreational maths with 21428000742400
- 21428000742400 backwards is 00424700082412
- The number of decimal digits it has is: 14
- The sum of 21428000742400's digits is 34
- More coming soon!
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"Number 21428000742400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 21428000742400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/21428000742400/
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The information we have on file for 21428000742400 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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