34006129922016

Names of 34006129922016

• Cardinal: 34006129922016 can be written as Thirty-four trillion, six billion, one hundred twenty-nine million, nine hundred twenty-two thousand and sixteen.

Scientific notation

• Scientific notation: 3.4006129922016 × 10¹³

Factors of 34006129922016

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 2075

Divisors of 34006129922016

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 32 34 36 41 42 48 51 54 56 59 63 68 72 73 82 84 96 102 108 112 118 119 123 126 136 144 146 153 164 168 177 189 204 216 219 224 236 238 246 252 272 287 288 292 306 328 336 354 357 369 378 408 413 432 438 459 472 476 492 504 511 531 544 574 584 612 656 657 672 697 708 714 738 756 816 826 861 864 876 918 944 952 984 1003 1008 1022 1062 1071 1107 1148 1168 1224 1239 1241 1312 1314 1394 1416 1428 1476 1512 1533 1593 1632 1652 1722 1752 1836 1873 1888 1904 1968 1971 2006 2016 2044 2091 2124 2142 2214 2296 2336 2419 2448 2478 2482 2583 2628 2788 2832 2856 2952 2993 3009 3024 3066 3186 3213 3304 3444 3504 3672 3717 3723 3746 3808 3936 3942 4012 4088 4182 4248 4284 4307 4428 4592 4599 4838 4879 4896 4956 4964 5166 5256 5576 5619 5664 5712 5904 5986 6018 6048 6132 6273 6372 6426 6608 6888 7008 7021 7257 7344 7434 7446 7492 7749 7884 8024 8176 8364 8496 8568 8614 8687 8856 8979 9027 9184 9198 9676 9758 9912 9928 10332 10512 11151 11152 11169 11238 11424 11808 11972 12036 12264 12546 12744 12852 12921 13111 13216 13776 13797 14042 14514 14637 14688 14868 14892 14984 15498 15768 16048 16352 16728 16857 16933 16992 17136 17228 17374 17712 17958 18054 18396 18819 19352 19516 19824 19856 20664 20951 21024 21063 21771 22302 22304 22338 22476 23944 24072 24528 25092 25488 25704 25842 26061 26222 26937 27081 27552 27594 28084 29028 29274 29736 29784 29968 30149 30996 31536 31841 32096 33456 33507 33714 33866 34272 34456 34748 35424 35916 36108 36792 37638 38704 38763 39032 39333 39648 39712 41123 41328 41902 42126 43542 43911 44604 44676 44952 47888 48144 49056 50184 50571 50799 50881 50976 51408 51684 52122 52444 53874 54162 55188 56168 58056 58548 59472 59568 59936 60298 61992 62853 63072 63189 63682 65313 66912 67014 67428 67732 68912 69496 71832 72216 73219 73584 75276 76793 77408 77526 78064 78183 78666 80811 82246 82656 83804 84252 87084 87822 89208 89352 89904 90447 95523 95776 96288 100368 101142 101598 101762 102816 103368 104244 104888 107748 108324 110376 110507 112336 116112 116289 117096 117999 118944 119136 120596 123369 123984 125706 126378 127364 130626 131733 134028 134856 135464 136729 137824 138992 143664 144432 146438 147168 150552 152397 152643 153586 155052 156128 156366 157332 161622 164492 167608 168504 174168 175644 176587 178416 178704 179808 180894 188559 189567 191046 200736 202284 203196 203524 206736 208488 209776 215496 216648 219657 220752 221014 222887 224672 230379 232224 232578 234192 234549 235998 241192 246738 247968 251412 252756 254728 261252 263466 268056 269712 270928 271341 273458 277984 286569 287328 287861 288864 292876 301104 304794 305286 307172 310104 312732 314664 323244 328984 331521 335216 337008 348336 351288 353174 353997 356167 356832 357408 361788 370107 377118 379134 382092 404568 406392 407048 410187 413472 416976 419552 430992 433296 439314 441504 442028 445774 457191 457929 460758 465156 468384 469098 471996 482384 493476 502824 505512 509456 512533 522504 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826936992 856318743 857701017 864569952 871237188 877283232 878620554 903505232 924280548 941789352 946823976 959974309 978649992 986943636 992242353 1004137776 1008664944 1014896288 1016443386 1059513021 1067998176 1078327306 1097113496 1127935584 1134748062 1141758324 1143601356 1161649584 1171494072 1210872024 1232374064 1234252683 1255719136 1262431968 1296854928 1304866656 1315924848 1322989804 1334201582 1355257848 1386420822 1412684028 1420235964 1512997416 1522344432 1524665079 1524801808 1561992096 1614496032 1617490959 1623126816 1645670244 1712637486 1715402034 1742474376 1757241108 1807010464 1848561096 1883578704 1893647952 1919948618 1957299984 1973887272 1984484706 2001302373 2008275552 2017329888 2032886772 2079631233 2119026042 2156654612 2194226992 2269496124 2283516648 2287202712 2315232157 2323299168 2342988144 2421744048 2464748128 2468505366 2573103051 2593709856 2631849696 2645979608 2668403164 2710515696 2772841644 2825368056 2840471928 2879922927 2976727059 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15359588944 15875877648 16010418984 16263094176 16637049864 16868120001 16952208336 17253236896 17279537562 17860362354 18011721357 18155968992 18521857256 19409891508 19748042928 20584824408 20837089413 21347225312 22182733152 22490826668 23039383416 23813816472 24015628476 24394641264 25879855344 25919306343 27402199776 27446432544 27782785884 29114837262 29622064392 30719177888 31751755296 32020837968 33274099728 33736240002 33904416672 34559075124 35720724708 36023442714 37043714512 38819783016 39358946669 39496085856 41169648816 41674178826 44981653336 46078766832 47627632944 48031256952 48789282528 50604360003 51759710688 51838612686 55565571768 58229674524 59244128784 62511268239 64041675936 66548199456 67472480004 69118150248 71441449416 72046885428 74087429024 77639566032 78717893338 82339297632 83348357652 89963306672 92157533664 95255265888 96062513904 101208720006 103677225372 111131143536 116459349048 118076840007 118488257568 125022536478 134944960008 138236300496 142882898832 144093770856 151813080009 155279132064 157435786676 166696715304 179926613344 192125027808 202417440012 207354450744 222262287072 232918698096 236153680014 250045072956 269889920016 276472600992 285765797664 288187541712 303626160018 314871573352 333393430608 354230520021 404834880024 414708901488 465837396192 472307360028 500090145912 539779840032 576375083424 607252320036 629743146704 666786861216 708461040042 809669760048 829417802976 944614720056 1000180291824 1062691560063 1214504640072 1259486293408 1416922080084 1619339520096 1889229440112 2000360583648 2125383120126 2429009280144 2833844160168 3778458880224 4250766240252 4858018560288 5667688320336 8501532480504 11335376640672 17003064961008 34006129922016
• Sum of all divisors σ(n): 126813322137600
• Sum of proper divisors (its aliquot sum) s(n): 92807192215584
• 34006129922016 is an abundant number, because the sum of its proper divisors (92807192215584) is greater than itself. Its abundance is 58801062293568

Bases of 34006129922016

• Binary: 111101110110110101011010010110100111111100000₂
• Hexadecimal: 0x1EEDAB4B4FE0
• Base-36: C1Y77QRC0

Squares and roots of 34006129922016

• 34006129922016 squared (34006129922016²) is 1156416872273031922241504256
• 34006129922016 cubed (34006129922016³) is 39325262402528105674554363701007812100096
• The square root of 34006129922016 is 5831477.5076318351
• The cube root of 34006129922016 is 32398.0648141845

Scales and comparisons

• 34,006,129,922,016 seconds is equal to 1,081,289 years, 38 weeks, 4 days, 16 hours, 33 minutes, 36 seconds.
• To count from 1 to 34,006,129,922,016 would take you about two million, seven hundred three thousand, two hundred twenty-four 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 34006129922016 cubic inches would be around 2699.8 feet tall.

Recreational maths with 34006129922016

• 34006129922016 backwards is 61022992160043
• The number of decimal digits it has is: 14
• The sum of 34006129922016's digits is 45
• More coming soon!