34085210345472

Names of 34085210345472

• Cardinal: 34085210345472 can be written as Thirty-four trillion, eighty-five billion, two hundred ten million, three hundred forty-five thousand, four hundred seventy-two.

Scientific notation

• Scientific notation: 3.4085210345472 × 10¹³

Factors of 34085210345472

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 6624

Divisors of 34085210345472

• Number of divisors d(n): 832
• Complete list of divisors:
  1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 41 44 48 52 64 66 73 78 82 88 96 104 123 128 132 143 146 156 164 176 192 208 219 246 256 264 286 292 312 328 352 384 416 429 438 451 492 512 528 533 572 584 624 656 704 768 803 832 858 876 902 949 984 1024 1056 1066 1144 1168 1248 1312 1353 1408 1536 1599 1606 1664 1716 1752 1804 1898 1968 2048 2112 2132 2288 2336 2409 2496 2624 2706 2816 2847 2993 3072 3198 3212 3328 3432 3504 3608 3796 3936 4096 4224 4264 4576 4672 4818 4992 5248 5412 5632 5694 5863 5986 6144 6396 6424 6481 6656 6864 7008 7216 7592 7872 8448 8528 8979 9152 9344 9636 9984 10439 10496 10824 11264 11388 11726 11972 12288 12792 12848 12962 13312 13728 14016 14432 15184 15744 16896 17056 17589 17958 18304 18688 19272 19443 19968 20878 20992 21648 22528 22776 23452 23944 25584 25696 25924 26624 27456 28032 28864 30368 31317 31488 32923 33792 34112 35178 35916 36608 37376 38544 38886 38909 39936 41756 41984 43296 45056 45552 46904 47888 51168 51392 51848 53248 54912 56064 57728 60736 62634 62976 65846 67584 68224 70356 71291 71832 73216 74752 77088 77772 77818 79872 83512 83968 84253 86592 91104 93808 95776 98769 102336 102784 103696 109824 112128 115456 116727 121472 125268 125952 131692 135168 136448 140712 142582 143664 146432 149504 154176 155544 155636 159744 167024 167936 168506 173184 182208 187616 191552 197538 204672 205568 207392 213873 219648 224256 230912 233454 242944 250536 251904 252759 263384 265721 272896 281424 285164 287328 292864 299008 308352 311088 311272 334048 337012 346368 364416 375232 383104 395076 409344 411136 414784 427746 427999 439296 448512 461824 466908 473113 485888 501072 503808 505518 526768 531442 545792 562848 570328 574656 585728 616704 622176 622544 668096 674024 692736 728832 750464 766208 790152 797163 818688 822272 829568 855492 855998 878592 897024 923648 926783 933816 946226 971776 1002144 1011036 1053536 1062884 1091584 1125696 1140656 1149312 1233408 1244352 1245088 1283997 1336192 1348048 1385472 1419339 1457664 1500928 1532416 1580304 1594326 1637376 1644544 1659136 1710984 1711996 1757184 1847296 1853566 1867632 1892452 1943552 2004288 2022072 2107072 2125768 2183168 2251392 2281312 2298624 2466816 2488704 2490176 2567994 2672384 2696096 2770944 2780349 2838678 2915328 2922931 3001856 3064832 3160608 3188652 3274752 3289088 3318272 3421968 3423992 3454373 3707132 3735264 3784904 3887104 4008576 4044144 4214144 4251536 4502784 4562624 4597248 4933632 4977408 4980352 5135988 5204243 5344768 5392192 5541888 5560698 5677356 5830656 5845862 6003712 6129664 6150469 6321216 6377304 6549504 6636544 6843936 6847984 6908746 7414264 7470528 7569808 8017152 8088288 8428288 8503072 8768793 9005568 9125248 9194496 9867264 9954816 9960704 10271976 10363119 10408486 10689536 10784384 11121396 11354712 11661312 11691724 12007424 12259328 12300938 12642432 12754608 13273088 13687872 13695968 13817492 14828528 14941056 15139616 15612729 16034304 16176576 16856576 17006144 17537586 18011136 18250496 18388992 18451407 19397633 19909632 19921408 20543952 20726238 20816972 21379072 21568768 22242792 22709424 23383448 24014848 24601876 25284864 25509216 26546176 27375744 27391936 27634984 29657056 29882112 30279232 31225458 32068608 32353152 33713152 34012288 35075172 36022272 36500992 36777984 36902814 37998103 38795266 39819264 39842816 41087904 41452476 41633944 42758144 43137536 44485584 45418848 46766896 49203752 50569728 51018432 54751488 54783872 55269968 58192899 59314112 59764224 60558464 62450916 64137216 64706304 67426304 67655159 68024576 70150344 72044544 73001984 73805628 75996206 77590532 79638528 79685632 82175808 82904952 83267888 86275072 88971168 90837696 93533792 98407504 101139456 102036864 109502976 109567744 110539936 113994309 116385798 118628224 119528448 121116928 124901832 128274432 129412608 134852608 135310318 136049152 140300688 146003968 147611256 151992412 155181064 159371264 164351616 165809904 166535776 172550144 177942336 181675392 187067584 196815008 202278912 202965477 204073728 213373963 219005952 219135488 221079872 227988618 232771596 237256448 239056896 242233856 249803664 252169229 258825216 270620636 272098304 280601376 292007936 295222512 303984824 310362128 328703232 331619808 333071552 345100288 355884672 363350784 374135168 393630016 404557824 405930954 408147456 426747926 438011904 438270976 442159744 455977236 465543192 474512896 478113792 484467712 499607328 504338458 517650432 541241272 544196608 561202752 590445024 607969648 620724256 640121889 657406464 663239616 666143104 711769344 726701568 748270336 756507687 787260032 811861908 816294912 853495852 876023808 876541952 884319488 911954472 931086384 949025792 968935424 999214656 1008676916 1035300864 1082482544 1088393216 1122405504 1180890048 1215939296 1241448512 1280243778 1314812928 1326479232 1332286208 1423538688 1453403136 1496540672 1513015374 1574520064 1623723816 1632589824 1706991704 1753083904 1768638976 1823908944 1862172768 1898051584 1937870848 1998429312 2017353832 2164965088 2244811008 2361780096 2431878592 2482897024 2560487556 2629625856 2652958464 2664572416 2773861519 2847077376 2906806272 2993081344 3026030748 3149040128 3247447632 3265179648 3413983408 3537277952 3647817888 3724345536 3796103168 3996858624 4034707664 4329930176 4489622016 4723560192 4863757184 4965794048 5120975112 5259251712 5305916928 5329144832 5547723038 5694154752 5813612544 5986162688 6052061496 6298080256 6494895264 6827966816 7074555904 7295635776 7448691072 7993717248 8069415328 8321584557 8659860352 8979244032 9447120384 9727514368 9931588096 10241950224 10611833856 10658289664 11095446076 11388309504 11972325376 12104122992 12596160512 12989790528 13655933632 14149111808 14591271552 14897382144 15987434496 16138830656 16643169114 17319720704 17958488064 18894240768 19455028736 19863176192 20483900448 21223667712 21316579328 22190892152 24208245984 25192321024 25979581056 27311867264 29182543104 29794764288 31974868992 32277661312 33286338228 34639441408 35916976128 37788481536 38910057472 39726352384 40967800896 42447335424 44381784304 48416491968 51959162112 54623734528 58365086208 59589528576 63949737984 64555322624 66572676456 69278882816 75576963072 77820114944 79452704768 81935601792 88763568608 96832983936 103918324224 109247469056 116730172416 119179057152 129110645248 133145352912 138557765632 155640229888 163871203584 177527137216 193665967872 207836648448 218494938112 233460344832 238358114304 258221290496 266290705824 277115531264 327742407168 355054274432 387331935744 415673296896 436989876224 466920689664 516442580992 532581411648 655484814336 710108548864 774663871488 831346593792 873979752448 1032885161984 1065162823296 1310969628672 1420217097728 1549327742976 2130325646592 2621939257344 2840434195456 3098655485952 4260651293184 5680868390912 8521302586368 11361736781824 17042605172736 34085210345472
• Sum of all divisors σ(n): 110890983635712
• Sum of proper divisors (its aliquot sum) s(n): 76805773290240
• 34085210345472 is an abundant number, because the sum of its proper divisors (76805773290240) is greater than itself. Its abundance is 42720562944768

Bases of 34085210345472

• Binary: 111110000000000010100110110101101000000000000₂
• Hexadecimal: 0x1F0014DAD000
• Base-36: C2YJ26OLC

Squares and roots of 34085210345472

• 34085210345472 squared (34085210345472²) is 1161801564295071457590902784
• 34085210345472 cubed (34085210345472³) is 39600250698695922617138942079069006594048
• The square root of 34085210345472 is 5838254.0494116903
• The cube root of 34085210345472 is 32423.1590080389

Scales and comparisons

• 34,085,210,345,472 seconds is equal to 1,083,804 years, 13 weeks, 2 days, 8 hours, 51 minutes, 12 seconds.
• To count from 1 to 34,085,210,345,472 would take you about two million, seven hundred nine thousand, five hundred ten 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 34085210345472 cubic inches would be around 2701.9 feet tall.

Recreational maths with 34085210345472

• 34085210345472 backwards is 27454301258043
• 34085210345472 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34085210345472's digits is 48
• More coming soon!