13459213684224

Names of 13459213684224

• Cardinal: 13459213684224 can be written as Thirteen trillion, four hundred fifty-nine billion, two hundred thirteen million, six hundred eighty-four thousand, two hundred twenty-four.

Scientific notation

• Scientific notation: 1.3459213684224 × 10¹³

Factors of 13459213684224

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 642

Divisors of 13459213684224

• Number of divisors d(n): 900
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 64 66 72 77 81 84 88 96 99 108 112 121 126 128 132 144 154 162 168 176 189 192 198 216 224 231 242 252 256 264 288 297 308 324 336 352 363 378 384 396 432 448 462 484 504 512 528 567 576 594 616 619 648 672 693 704 726 756 768 792 847 864 891 896 924 968 1008 1056 1089 1134 1152 1188 1232 1238 1296 1344 1386 1408 1452 1512 1536 1584 1694 1728 1782 1792 1848 1857 1936 2016 2079 2112 2178 2268 2304 2376 2464 2476 2541 2592 2688 2772 2816 2904 3024 3168 3267 3388 3456 3564 3584 3696 3714 3872 4032 4158 4224 4333 4356 4536 4608 4752 4928 4952 5082 5184 5376 5544 5571 5632 5808 6048 6237 6336 6534 6776 6809 6912 7128 7392 7428 7623 7744 8064 8316 8448 8666 8712 9072 9504 9801 9856 9904 10164 10368 10752 11088 11142 11616 12096 12474 12672 12999 13068 13552 13618 13824 14256 14784 14856 15246 15488 16128 16632 16713 16896 17332 17424 18144 19008 19602 19712 19808 20328 20427 20736 22176 22284 22869 23232 24192 24948 25344 25998 26136 27104 27236 28512 29568 29712 30492 30976 32256 33264 33426 34664 34848 36288 38016 38997 39204 39424 39616 40656 40854 41472 44352 44568 45738 46464 47663 48384 49896 50139 50688 51996 52272 54208 54472 57024 59136 59424 60984 61281 61952 66528 66852 68607 69328 69696 72576 74899 76032 77994 78408 79232 81312 81708 88704 89136 91476 92928 95326 96768 99792 100278 103992 104544 108416 108944 114048 116991 118272 118848 121968 122562 133056 133704 137214 138656 139392 142989 145152 149798 152064 155988 156816 158464 162624 163416 177408 178272 182952 183843 185856 190652 199584 200556 207984 209088 216832 217888 224697 228096 233982 237696 243936 245124 266112 267408 274428 277312 278784 285978 290304 299596 311976 313632 316928 325248 326832 350973 354816 356544 365904 367686 381304 383161 399168 401112 415968 418176 428967 433664 435776 449394 456192 467964 475392 487872 490248 524293 532224 534816 548856 551529 554624 557568 571956 599192 623952 627264 650496 653664 674091 701946 713088 731808 735372 762608 766322 798336 802224 831936 836352 857934 871552 898788 935928 950784 975744 980496 1048586 1064448 1069632 1097712 1103058 1109248 1143912 1149483 1198384 1247904 1254528 1286901 1300992 1307328 1348182 1403892 1426176 1463616 1470744 1525216 1532644 1572879 1596672 1604448 1663872 1672704 1715868 1743104 1797576 1871856 1951488 1960992 2022273 2097172 2139264 2195424 2206116 2218496 2287824 2298966 2396768 2495808 2509056 2573802 2614656 2682127 2696364 2807784 2852352 2927232 2941488 3050432 3065288 3145758 3193344 3208896 3327744 3431736 3448449 3486208 3595152 3743712 3860703 3902976 3921984 4044546 4194344 4214771 4278528 4390848 4412232 4575648 4597932 4718637 4793536 4991616 5018112 5147604 5229312 5364254 5392728 5615568 5854464 5882976 6066819 6100864 6130576 6291516 6417792 6655488 6863472 6896898 7190304 7487424 7721406 7843968 8046381 8089092 8388688 8429542 8557056 8781696 8824464 9151296 9195864 9437274 9587072 9983232 10295208 10345347 10458624 10728508 10785456 11231136 11708928 11765952 12133638 12201728 12261152 12583032 12644313 12835584 13726944 13793796 14155911 14380608 14974848 15442812 15687936 16092762 16178184 16777376 16859084 17563392 17648928 18302592 18391728 18874548 19174144 19966464 20590416 20690694 21457016 21570912 22462272 23531904 24139143 24267276 24403456 24522304 25166064 25288626 25671168 27453888 27587592 28311822 28761216 29503397 29949696 30885624 31036041 31375872 32185524 32356368 33554752 33718168 35126784 35297856 36605184 36783456 37749096 37932939 38348288 41180832 41381388 42467733 42914032 43141824 44924544 46362481 47063808 48278286 48534552 49044608 50332128 50577252 54907776 55175184 56623644 57522432 59006794 59899392 61771248 62072082 64371048 64712736 67109504 67436336 70595712 72417429 73210368 73566912 75498192 75865878 82361664 82762776 84935466 85828064 86283648 88510191 89849088 92724962 94127616 96556572 97069104 98089216 100664256 101154504 109815552 110350368 113247288 113798817 115044864 118013588 123542496 124144164 128742096 129425472 134219008 134872672 139087443 141191424 144834858 147133824 150996384 151731756 164723328 165525552 169870932 171656128 172567296 177020382 179698176 185449924 193113144 194138208 196178432 201328512 202309008 217252287 219631104 220700736 226494576 227597634 236027176 247084992 248288328 257484192 258850944 265530573 268438016 269745344 278174886 282382848 289669716 294267648 301992768 303463512 324537367 329446656 331051104 339741864 341396451 343312256 345134592 354040764 370899848 386226288 388276416 402657024 404618016 417262329 434504574 441401472 452989152 455195268 472054352 494169984 496576656 514968384 517701888 531061146 539490688 556349772 579339432 588535296 603985536 606927024 649074734 658893312 662102208 679483728 682792902 686624512 708081528 741799696 772452576 776552832 796591719 805314048 809236032 834524658 869009148 882802944 905978304 910390536 944108704 973612101 988339968 993153312 1029936768 1035403776 1062122292 1078981376 1112699544 1158678864 1207971072 1213854048 1251786987 1298149468 1324204416 1358967456 1365585804 1373249024 1416163056 1483599392 1544905152 1553105664 1593183438 1618472064 1669049316 1738018296 1765605888 1811956608 1820781072 1888217408 1947224202 1976679936 1986306624 2059873536 2124244584 2157962752 2225399088 2317357728 2389775157 2415942144 2427708096 2503573974 2596298936 2648408832 2717934912 2731171608 2832326112 2920836303 2967198784 3089810304 3106211328 3186366876 3236944128 3338098632 3476036592 3623913216 3641562144 3755360961 3776434816 3894448404 3972613248 4119747072 4248489168 4450798176 4634715456 4779550314 4855416192 5007147948 5192597872 5296817664 5435869824 5462343216 5664652224 5841672606 5934397568 6179620608 6372733752 6473888256 6676197264 6952073184 7247826432 7283124288 7510721922 7552869632 7788896808 7945226496 8496978336 8762508909 8901596352 9269430912 9559100628 9710832384 10014295896 10385195744 10871739648 10924686432 11329304448 11683345212 11868795136 12359241216 12745467504 13352394528 13904146368 14566248576 15021443844 15105739264 15577793616 15890452992 16993956672 17525017818 17803192704 18538861824 19118201256 19421664768 20028591792 20770391488 21743479296 21849372864 22658608896 23366690424 23737590272 25490935008 26287526727 26704789056 27808292736 29132497152 30042887688 31155587232 33987913344 35050035636 35606385408 37077723648 38236402512 40057183584 41540782976 43698745728 45317217792 46733380848 50981870016 52575053454 53409578112 55616585472 58264994304 60085775376 62311174464 67975826688 70100071272 71212770816 76472805024 80114367168 83081565952 87397491456 93466761696 101963740032 105150106908 106819156224 111233170944 120171550752 124622348928 135951653376 140200142544 152945610048 160228734336 166163131904 174794982912 186933523392 203927480064 210300213816 213638312448 240343101504 249244697856 280400285088 305891220096 320457468672 373867046784 407854960128 420600427632 480686203008 498489395712 560800570176 611782440192 640914937344 747734093568 841200855264 961372406016 1121601140352 1223564880384 1495468187136 1682401710528 1922744812032 2243202280704 3364803421056 4486404561408 6729606842112 13459213684224
• Sum of all divisors σ(n): 50545919588472
• Sum of proper divisors (its aliquot sum) s(n): 37086705904248
• 13459213684224 is an abundant number, because the sum of its proper divisors (37086705904248) is greater than itself. Its abundance is 23627492220024

Bases of 13459213684224

• Binary: 11000011110110110111101001101000111000000000₂
• Hexadecimal: 0xC3DB7A68E00
• Base-36: 4RR2SBK00

Squares and roots of 13459213684224

• 13459213684224 squared (13459213684224²) is 181150432997602579586482176
• 13459213684224 cubed (13459213684224³) is 2438142386704435475355542942468668391424
• The square root of 13459213684224 is 3668680.1011023025
• The cube root of 13459213684224 is 23787.0122416789

Scales and comparisons

• 13,459,213,684,224 seconds is equal to 427,961 years, 18 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 13,459,213,684,224 would take you about one million, sixty-nine thousand, nine hundred three 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 13459213684224 cubic inches would be around 1982.3 feet tall.

Recreational maths with 13459213684224

• 13459213684224 backwards is 42248631295431
• 13459213684224 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13459213684224's digits is 54
• More coming soon!