20442220106400
20,442,220,106,400 is an even composite number composed of seven prime numbers multiplied together.
20442220106400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 20442220106400:
25 × 33 × 52 × 29 × 61 × 191 × 2801
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 29 × 61 × 191 × 2801)See below for interesting mathematical facts about the number 20442220106400 from the Numbermatics database.
Names of 20442220106400
- Cardinal: 20442220106400 can be written as Twenty trillion, four hundred forty-two billion, two hundred twenty million, one hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 2.04422201064 × 1013
Factors of 20442220106400
Divisors of 20442220106400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 61 72 75 80 87 90 96 100 108 116 120 122 135 144 145 150 160 174 180 183 191 200 216 225 232 240 244 261 270 288 290 300 305 348 360 366 382 400 432 435 450 464 480 488 522 540 549 573 580 600 610 675 696 720 725 732 764 783 800 864 870 900 915 928 955 976 1044 1080 1098 1146 1160 1200 1220 1305 1350 1392 1440 1450 1464 1525 1528 1566 1647 1719 1740 1769 1800 1830 1910 1952 2088 2160 2175 2196 2292 2320 2400 2440 2610 2700 2745 2784 2801 2865 2900 2928 3050 3056 3132 3294 3438 3480 3538 3600 3660 3820 3915 4176 4320 4350 4392 4575 4584 4640 4775 4880 5157 5220 5307 5400 5490 5539 5602 5730 5800 5856 6100 6112 6264 6525 6588 6876 6960 7076 7200 7320 7640 7830 8235 8352 8403 8595 8700 8784 8845 9150 9168 9550 9760 10314 10440 10614 10800 10980 11078 11204 11460 11600 11651 12200 12528 13050 13176 13725 13752 13920 14005 14152 14325 14640 15280 15660 15921 16470 16617 16806 17190 17400 17568 17690 18300 18336 19100 19575 20628 20880 21228 21600 21960 22156 22408 22920 23200 23302 24400 25056 25209 25785 26100 26352 26535 27450 27504 27695 28010 28304 28650 29280 30560 31320 31842 32940 33234 33612 34380 34800 34953 35380 36600 38200 39150 41175 41256 41760 42015 42456 42975 43920 44225 44312 44816 45840 46604 47763 48800 49851 50418 51570 52200 52704 53070 54900 55008 55390 56020 56608 57300 58255 62640 63684 65880 66468 67224 68760 69600 69906 70025 70760 73200 75627 76400 78300 79605 81229 82350 82512 83085 84030 84912 85950 87840 88450 88624 89632 91680 93208 95526 99702 100836 103140 104400 104859 106140 109800 110780 112040 114600 116510 125280 126045 127368 128925 131760 132675 132936 134448 137520 138475 139812 140050 141520 146400 149553 151254 152800 156600 159210 162458 164700 165024 166170 168060 169824 170861 171900 174765 176900 177248 186416 191052 199404 201672 206280 208800 209718 210075 212280 219600 221560 224080 229200 233020 238815 243687 249255 252090 254736 257850 263520 265350 265872 268896 275040 276950 279624 280100 283040 291275 299106 302508 313200 314577 318420 324916 329400 332340 336120 337879 341722 343800 349530 353800 372832 378135 382104 398025 398808 403344 406145 412560 415425 419436 420150 424560 439200 443120 448160 458400 466040 477630 487374 498510 504180 509472 512583 515700 524295 530700 531744 534991 553900 559248 560200 582550 598212 605016 626400 629154 630225 636840 649832 658800 664680 672240 675758 683444 687600 699060 707600 731061 747765 756270 764208 796050 797616 806688 812290 825120 830850 838872 840300 849120 854305 873825 886240 932080 955260 974748 997020 1008360 1013637 1025166 1031400 1048590 1061400 1069982 1107800 1118496 1120400 1165100 1194075 1196424 1210032 1218435 1246275 1258308 1260450 1273680 1299664 1317600 1329360 1344480 1351516 1366888 1375200 1398120 1415200 1462122 1495530 1512540 1528416 1537749 1572885 1592100 1595232 1604973 1624580 1661700 1677744 1680600 1689395 1708610 1747650 1864160 1890675 1910520 1949496 1994040 2016720 2027274 2030725 2050332 2062800 2097180 2122800 2139964 2193183 2215600 2240800 2330200 2388150 2392848 2420064 2436870 2492550 2516616 2520900 2547360 2562915 2599328 2621475 2658720 2674955 2703032 2733776 2796240 2924244 2991060 3025080 3040911 3075498 3145770 3184200 3209946 3249160 3323400 3355488 3361200 3378790 3417220 3495300 3655305 3738825 3781350 3821040 3898992 3988080 4033440 4054548 4061450 4100664 4125600 4194360 4245600 4271525 4279928 4386366 4431200 4613247 4660400 4776300 4785696 4814919 4873740 4954969 4985100 5033232 5041800 5068185 5125830 5242950 5349910 5406064 5467552 5592480 5848488 5982120 6050160 6081822 6092175 6150996 6291540 6368400 6419892 6498320 6646800 6722400 6757580 6834440 6990600 7310610 7477650 7562700 7642080 7688745 7797984 7864425 7976160 8024865 8109096 8122900 8201328 8388720 8446975 8543050 8559856 8772732 9122733 9226494 9320800 9552600 9629838 9747480 9909938 9970200 10066464 10083600 10136370 10251660 10485900 10699820 10812128 10965915 11696976 11964240 12100320 12163644 12184350 12301992 12583080 12736800 12814575 12839784 12996640 13293600 13374775 13515160 13668880 13981200 14444757 14621220 14864907 14955300 15125400 15204555 15377490 15514739 15728850 16049730 16218192 16245800 16402656 16777440 16893950 17086100 17119712 17545464 18245466 18276525 18452988 19105200 19259676 19494960 19819876 19940400 20167200 20272740 20503320 20971800 21399640 21931830 23066235 23393952 23928480 24074595 24327288 24368700 24603984 24774845 25166160 25340925 25629150 25679568 26749550 27030320 27337760 27962400 28889514 29242440 29729814 29910600 30250800 30409110 30754980 31029478 31457700 32099460 32436384 32491600 32634451 33787900 34172200 35090928 36490932 36553050 36905976 38210400 38443725 38519352 38989920 39639752 39880800 40124325 40545480 41006640 41943600 42799280 43863660 44594721 45613665 46132470 46544217 48149190 48654576 48737400 49207968 49549690 50332320 50681850 51258300 51359136 53499100 54060640 54829575 57779028 58484880 59459628 59821200 60501600 60818220 61509960 62058956 62915400 64198920 64983200 65268902 67575800 68344400 70181856 72223785 72981864 73106100 73811952 74324535 76022775 76887450 77038704 77573695 79279504 80248650 81090960 82013280 83887200 85598560 87727320 89189442 91227330 92264940 93088434 96298380 97309152 97474800 97903353 99099380 101363700 102516600 106998200 109659150 115331175 115558056 116969760 118919256 119642400 120372975 121636440 123019920 123874225 124117912 125830800 128397840 130537804 133784163 135151600 136688800 139632651 144447570 145963728 146212200 147623904 148649070 152045550 153774900 154077408 155147390 158559008 160497300 162181920 163172255 175454640 178378884 182454660 184529880 186176868 192596760 194949600 195806706 198198760 202727400 205033200 213996400 219318300 222973605 228068325 230662350 231116112 232721085 237838512 240745950 243272880 246039840 247748450 248235824 251661600 256795680 261075608 267568326 270303200 279265302 288895140 291927456 292424400 293710059 297298140 304091100 307549800 310294780 320994600 326344510 350909280 356757768 361118925 364909320 369059760 371622675 372353736 385193520 387868475 391613412 396397520 405454800 410066400 418897953 427992800 438636600 445947210 456136650 461324700 462232224 465442170 475677024 481491900 486545760 489516765 495496900 496471648 522151216 535136652 558530604 577790280 584848800 587420118 594596280 608182200 615099600 620589560 641989200 652689020 668920815 698163255 713515536 722237850 729818640 738119520 743245350 744707472 770387040 775736950 783226824 792795040 810909600 815861275 837795906 877273200 881130177 891894420 912273300 922649400 930884340 946399079 962983800 979033530 990993800 1044302432 1070273304 1114868025 1117061208 1155580560 1163605425 1174840236 1189192560 1216364400 1230199200 1241179120 1283978400 1305378040 1337841630 1396326510 1427031072 1444475700 1459637280 1468550295 1486490700 1489414944 1551473900 1566453648 1631722550 1675591812 1754546400 1762260354 1783788840 1824546600 1845298800 1861768680 1892798158 1925967600 1958067060 1981987600 2094489765 2140546608 2229736050 2234122416 2311161120 2327210850 2349680472 2378385120 2432728800 2447583825 2482358240 2610756080 2675683260 2792653020 2839197237 2888951400 2937100590 2972981400 3102947800 3132907296 3263445100 3344604075 3351183624 3490816275 3524520708 3567577680 3649093200 3690597600 3723537360 3785596316 3851935200 3916134120 3963975200 4188979530 4281093216 4405650885 4459472100 4468244832 4654421700 4699360944 4731995395 4895167650 5221512160 5351366520 5585306040 5678394474 5777902800 5874201180 5945962800 6205895600 6526890200 6689208150 6702367248 6981632550 7049041416 7135155360 7298186400 7342751475 7447074720 7571192632 7832268240 8377959060 8517591711 8811301770 8918944200 9308843400 9398721888 9463990790 9790335300 10472448825 10702733040 11170612080 11356788948 11555805600 11748402360 11891925600 12411791200 13053780400 13378416300 13404734496 13963265100 14098082832 14195986185 14685502950 15142385264 15664536480 16755918120 17035183422 17622603540 17837888400 18617686800 18927981580 19580670600 20944897650 21405466080 22028254425 22341224160 22713577896 23496804720 23659976975 25552775133 26107560800 26756832600 27926530200 28196165664 28391972370 29371005900 30284770528 33511836240 34070366844 35245207080 35675776800 37235373600 37855963160 39161341200 41889795300 42587958555 44056508850 45427155792 46993609440 47319953950 51105550266 53513665200 55853060400 56783944740 58742011800 67023672480 68140733688 70490414160 70979930925 75711926320 78322682400 83779590600 85175917110 88113017700 90854311584 94639907900 102211100532 107027330400 111706120800 113567889480 117484023600 127763875665 136281467376 140980828320 141959861850 151423852640 167559181200 170351834220 176226035400 189279815800 204422201064 212939792775 227135778960 234968047200 255527751330 272562934752 283919723700 335118362400 340703668440 352452070800 378559631600 408844402128 425879585550 454271557920 511055502660 567839447400 638819378325 681407336880 704904141600 757119263200 817688804256 851759171100 1022111005320 1135678894800 1277638756650 1362814673760 1703518342200 2044222010640 2271357789600 2555277513300 3407036684400 4088444021280 5110555026600 6814073368800 10221110053200 20442220106400
- Sum of all divisors σ(n): 78170796748800
- Sum of proper divisors (its aliquot sum) s(n): 57728576642400
- 20442220106400 is an abundant number, because the sum of its proper divisors (57728576642400) is greater than itself. Its abundance is 37286356536000
Bases of 20442220106400
- Binary: 1001010010111100100110100010010010010101000002
- Hexadecimal: 0x1297934492A0
- Base-36: 78V0Y1RC0
Squares and roots of 20442220106400
- 20442220106400 squared (204422201064002) is 417884362878504427320960000
- 20442220106400 cubed (204422201064003) is 8542484124985116984541945998150144000000
-
The
square root of 20442220106400 is 4521307.3448284845 -
The
cube root of 20442220106400 is 27342.7811690273
Scales and comparisons
How big is 20442220106400?- 20,442,220,106,400 seconds is equal to 649,999 years, 19 weeks, 18 hours.
-
To count from 1 to 20,442,220,106,400 would take you about one million, six hundred twenty-four thousand, nine hundred ninety-eight 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 20442220106400 cubic inches would be around 2278.6 feet tall.
Recreational maths with 20442220106400
- 20442220106400 backwards is 00460102224402
- 20442220106400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 20442220106400's digits is 27
- More coming soon!
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The information we have on file for 20442220106400 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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