21346817490432

Names of 21346817490432

• Cardinal: 21346817490432 can be written as Twenty-one trillion, three hundred forty-six billion, eight hundred seventeen million, four hundred ninety thousand, four hundred thirty-two.

Scientific notation

• Scientific notation: 2.1346817490432 × 10¹³

Factors of 21346817490432

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 3196

Divisors of 21346817490432

• Number of divisors d(n): 1600
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 23 24 27 28 32 34 36 42 46 48 51 54 56 61 63 64 68 69 72 81 84 92 96 102 108 112 119 122 126 128 136 138 144 153 161 162 168 183 184 189 192 204 207 216 224 238 244 252 256 272 276 288 306 322 324 336 357 366 368 378 384 391 408 414 427 432 448 459 476 483 488 504 512 544 549 552 567 576 612 621 644 648 672 714 732 736 756 768 782 816 828 854 864 896 918 952 966 976 1008 1037 1071 1088 1098 1104 1134 1152 1173 1224 1242 1281 1288 1296 1344 1377 1403 1428 1449 1464 1472 1512 1536 1564 1632 1647 1656 1708 1728 1792 1836 1863 1904 1932 1952 2016 2074 2142 2176 2196 2208 2268 2304 2346 2448 2484 2562 2576 2592 2688 2737 2754 2806 2856 2898 2928 2944 3024 3083 3111 3128 3213 3264 3294 3312 3416 3456 3519 3584 3672 3726 3808 3843 3864 3904 4032 4148 4209 4284 4347 4352 4392 4416 4536 4608 4692 4896 4941 4968 5124 5152 5184 5376 5474 5508 5612 5712 5796 5856 5888 6048 6166 6222 6256 6426 6528 6588 6624 6832 6912 7038 7259 7344 7452 7616 7686 7728 7808 8064 8211 8296 8418 8568 8694 8704 8784 8832 9072 9249 9333 9384 9639 9792 9821 9882 9936 10248 10304 10368 10557 10752 10948 11016 11224 11424 11529 11592 11712 11776 12096 12332 12444 12512 12627 12852 13041 13056 13176 13248 13664 13824 14076 14518 14688 14904 15232 15372 15456 15616 16128 16422 16592 16836 17136 17388 17568 17664 18144 18498 18666 18768 19278 19584 19642 19764 19872 20496 20608 20736 21114 21581 21777 21896 22032 22448 22848 23058 23184 23424 23851 24192 24633 24664 24888 25024 25254 25704 26082 26112 26352 26496 27328 27747 27999 28152 29036 29376 29463 29808 30464 30744 30912 31232 31671 32256 32844 33184 33672 34272 34587 34776 35136 35328 36288 36996 37332 37536 37881 38556 39168 39284 39528 39744 40992 41216 41472 42228 43162 43554 43792 44064 44896 45696 46116 46368 46848 47702 48384 49266 49328 49776 50048 50508 51408 52164 52411 52704 52992 54656 55494 55998 56304 58072 58752 58926 59616 60928 61488 61824 63342 64743 65331 65688 66368 67344 68544 69174 69552 70272 70909 71553 72576 73899 73992 74664 75072 75762 77112 78336 78568 79056 79488 81984 82432 83241 83997 84456 86324 87108 87584 88128 88389 89792 91392 92232 92736 93696 95404 96768 98532 98656 99552 100096 101016 102816 104328 104822 105408 105984 109312 110988 111996 112608 113643 116144 117504 117852 119232 122976 123648 126684 129486 130662 131376 132736 134688 137088 138348 139104 140544 141818 143106 145152 147798 147984 149328 150144 151524 154224 157136 157233 158112 158976 163968 166482 166957 167994 168912 172648 174216 175168 176256 176778 179584 182784 184464 185472 188063 190808 194229 195993 197064 197312 199104 200192 202032 205632 208656 209644 210816 212727 214659 218624 221697 221976 223992 225216 227286 232288 235008 235704 238464 245952 247296 249723 253368 258972 261324 262752 265167 265472 269376 274176 276696 278208 281088 283636 286212 290304 295596 295968 298656 300288 303048 308448 314272 314466 316224 317952 327936 332964 333914 335988 337824 345296 348432 350336 352512 353556 359168 366877 368928 370944 376126 381616 388458 391986 394128 394624 398208 404064 411264 417312 419288 421632 425454 429318 443394 443952 447984 450432 454572 464576 471408 471699 476928 491904 496363 499446 500871 506736 517944 522648 525504 530334 530944 538752 548352 553392 556416 564189 567272 572424 582687 587979 591192 591936 597312 600576 606096 616896 628544 628932 632448 638181 643977 655872 665928 667828 671976 675648 690592 696864 700672 705024 707112 718336 733754 737856 741888 752252 763232 776916 783972 788256 789248 795501 796416 808128 822528 834624 838576 843264 850908 858636 886788 887904 895968 900864 909144 929152 942816 943398 953856 983808 992726 998892 1001742 1013472 1035888 1045296 1051008 1060668 1077504 1100631 1106784 1112832 1128378 1134544 1144848 1165374 1175958 1182384 1183872 1194624 1205453 1212192 1233792 1257088 1257864 1264896 1276362 1287954 1316441 1331856 1335656 1343952 1351296 1381184 1393728 1401344 1414224 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16876342 16970688 16981164 17301796 17610096 17708544 17869068 18031356 18054048 18152704 18317568 18645984 18815328 18918144 19182426 19287248 19395072 19811358 20125824 20310804 20421792 20607264 21063056 21309696 21370496 21503232 21698154 22379497 22627584 22641552 22974516 23480128 23695938 23825424 24041808 24072064 24861312 25087104 25314513 25456032 25576568 25952694 26415144 26803602 26834432 27047034 27081072 27229056 27476352 27968976 28377216 28773639 28930872 29092608 29717037 30188736 30278143 30466206 30632688 30910896 31594584 31767232 31964544 32055744 32547231 33148416 33449472 33752684 33941376 33962328 34603592 35220192 35543907 35738136 36062712 36108096 36305408 36635136 37291968 37630656 37836288 38364852 38574496 38929041 39622716 40205403 40251648 40621608 40843584 41214528 42126112 42619392 42740992 43006464 43396308 44758994 45255168 45283104 45949032 46960256 47391876 47650848 48083616 48144128 49722624 50174208 50629026 50912064 51153136 51905388 52830288 53607204 54094068 54162144 54458112 54952704 55937952 56754432 57547278 57861744 58185216 59434074 60377472 60556286 60932412 61265376 61821792 63189168 63534464 63929088 64111488 65094462 67138491 67505368 67882752 67924656 69207184 70440384 71087814 71476272 72125424 72216192 73532633 74583936 75261312 75943539 76729704 77148992 77858082 79245432 80410806 80503296 81243216 81687168 82429056 84252224 85481984 86320917 86792616 89517988 90566208 90834429 91898064 93920512 94783752 95301696 96167232 96288256 97641693 99445248 100348416 101258052 101824128 102306272 103810776 105660576 106631721 107214408 108188136 108324288 108916224 109905408 111875904 113508864 115094556 115723488 116787123 118868148 120754944 121112572 121864824 122530752 123643584 126378336 127068928 127858176 128222976 130188924 134276982 135010736 135765504 135849312 138414368 140880768 142175628 142952544 144250848 144432384 147065266 149167872 150522624 151887078 153459408 154297984 155716164 158490864 160821612 162486432 163374336 164858112 168504448 172641834 173585232 179035976 181132416 181668858 183796128 187841024 189567504 190603392 192334464 195283386 201415473 202516104 203648256 204612544 207621552 211321152 213263442 214428816 216376272 216648576 220597899 223751808 227830617 230189112 231446976 233574246 237736296 241509888 242225144 243729648 245061504 247287168 252756672 254137856 256445952 258962751 260377848 268553964 270021472 271698624 272503287 276828736 281761536 284351256 285905088 288501696 288864768 294130532 298335744 301045248 303774156 306918816 308595968 311432328 316981728 321643224 324972864 326748672 329716224 337008896 345283668 347170464 350361369 358071952 362264832 363337716 367592256 379135008 381206784 384668928 390566772 402830946 405032208 407296512 409225088 415243104 422642304 426526884 428857632 432752544 433297152 441195798 447503616 455661234 460378224 462893952 467148492 475472592 484450288 487459296 490123008 494574336 505513344 514728431 517925502 520755696 537107928 540042944 543397248 545006574 553657472 563523072 568702512 571810176 577003392 588261064 604246419 607548312 613837632 617191936 622864656 633963456 643286448 649945728 661793697 674017792 683491851 690567336 694340928 700722738 716143904 724529664 726675432 735184512 758270016 762413568 769337856 781133544 805661892 810064416 817509861 818450176 830486208 845284608 853053768 857715264 865505088 866594304 882391596 895007232 911322468 920756448 925787904 934296984 950945184 968900576 974918592 980246016 989148672 1011026688 1029456862 1035851004 1041511392 1074215856 1080085888 1086794496 1090013148 1107314944 1137405024 1143620352 1154006784 1176522128 1208492838 1215096624 1227675264 1245729312 1267926912 1286572896 1299891456 1323587394 1366983702 1381134672 1388681856 1401445476 1432287808 1453350864 1470369024 1516540032 1544185293 1562267088 1611323784 1620128832 1635019722 1636900352 1660972416 1690569216 1706107536 1715430528 1731010176 1764783192 1812739257 1822644936 1841512896 1851575808 1868593968 1901890368 1937801152 1949837184 1985381091 2022053376 2058913724 2071702008 2083022784 2148431712 2160171776 2173588992 2180026296 2214629888 2274810048 2287240704 2308013568 2353044256 2416985676 2430193248 2452529583 2455350528 2491458624 2535853824 2573145792 2599782912 2647174788 2733967404 2762269344 2777363712 2802890952 2864575616 2906701728 2940738048 3033080064 3088370586 3124534176 3222647568 3240257664 3270039444 3321944832 3412215072 3430861056 3462020352 3529566384 3625478514 3645289872 3683025792 3737187936 3803780736 3875602304 3899674368 3970762182 4117827448 4143404016 4166045568 4296863424 4320343552 4360052592 4549620096 4632555879 4706088512 4833971352 4860386496 4905059166 4910701056 4982917248 5071707648 5146291584 5294349576 5467934808 5524538688 5554727424 5605781904 5729151232 5813403456 5956143273 6066160128 6176741172 6249068352 6445295136 6480515328 6540078888 6643889664 6824430144 6861722112 6924040704 7059132768 7250957028 7290579744 7366051584 7474375872 7607561472 7751204608 7799348736 7941524364 8235654896 8286808032 8332091136 8593726848 8720105184 9099240192 9265111758 9412177024 9667942704 9720772992 9810118332 9965834496 10292583168 10588699152 10935869616 11049077376 11211563808 11458302464 11626806912 11912286546 12353482344 12498136704 12890590272 12961030656 13080157776 13648860288 13897667637 14118265536 14501914056 14581159488 14732103168 14948751744 15215122944 15502409216 15883048728 16471309792 16573616064 16664182272 17187453696 17440210368 18198480384 18530223516 18824354048 19335885408 19441545984 19620236664 19931668992 20585166336 21177398304 21871739232 22098154752 22423127616 23253613824 23824573092 24706964688 24996273408 25781180544 26160315552 27297720576 27795335274 28236531072 29003828112 29162318976 29897503488 31766097456 32942619584 33147232128 34374907392 34880420736 37060447032 37648708096 38671770816 38883091968 39240473328 41693002911 42354796608 43743478464 44196309504 44846255232 46507227648 47649146184 49413929376 49992546816 51562361088 52320631104 54595441152 55590670548 56473062144 58007656224 58324637952 59795006976 63532194912 65885239168 66294464256 69760841472 74120894064 77343541632 78480946656 83386005822 84709593216 87486956928 89692510464 95298292368 98827858752 103124722176 104641262208 111181341096 112946124288 116015312448 116649275904 127064389824 131770478336 132588928512 139521682944 148241788128 154687083264 156961893312 166772011644 169419186432 174973913856 179385020928 190596584736 197655717504 209282524416 222362682192 232030624896 254128779648 263540956672 296483576256 309374166528 313923786624 333544023288 338838372864 349947827712 381193169472 395311435008 418565048832 444725364384 464061249792 508257559296 592967152512 627847573248 667088046576 762386338944 790622870016 889450728768 928122499584 1016515118592 1185934305024 1255695146496 1334176093152 1524772677888 1778901457536 2371868610048 2668352186304 3049545355776 3557802915072 5336704372608 7115605830144 10673408745216 21346817490432
• Sum of all divisors σ(n): 81797644329984
• Sum of proper divisors (its aliquot sum) s(n): 60450826839552
• 21346817490432 is an abundant number, because the sum of its proper divisors (60450826839552) is greater than itself. Its abundance is 39104009349120

Bases of 21346817490432

• Binary: 100110110101000110001011110010011111000000000₂
• Hexadecimal: 0x136A31793E00
• Base-36: 7KELBZ400

Squares and roots of 21346817490432

• 21346817490432 squared (21346817490432²) is 455686616969813550411546624
• 21346817490432 cubed (21346817490432³) is 9727459045287003318495159624931441901568
• The square root of 21346817490432 is 4620261.6257558403
• The cube root of 21346817490432 is 27740.2931135365

Scales and comparisons

• 21,346,817,490,432 seconds is equal to 678,762 years, 39 weeks, 5 days, 21 hours, 7 minutes, 12 seconds.
• To count from 1 to 21,346,817,490,432 would take you about one million, six hundred ninety-six thousand, nine hundred six 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 21346817490432 cubic inches would be around 2311.7 feet tall.

Recreational maths with 21346817490432

• 21346817490432 backwards is 23409471864312
• 21346817490432 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 21346817490432's digits is 54
• More coming soon!