146920008056640
146,920,008,056,640 is an even composite number composed of seven prime numbers multiplied together.
146920008056640 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 146920008056640:
26 × 3 × 5 × 72 × 13 × 612 × 64567
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 13 × 61 × 61 × 64567)See below for interesting mathematical facts about the number 146920008056640 from the Numbermatics database.
Names of 146920008056640
- Cardinal: 146920008056640 can be written as One hundred forty-six trillion, nine hundred twenty billion, eight million, fifty-six thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.4692000805664 × 1014
Factors of 146920008056640
Divisors of 146920008056640
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 49 52 56 60 61 64 65 70 78 80 84 91 96 98 104 105 112 120 122 130 140 147 156 160 168 182 183 192 195 196 208 210 224 240 244 245 260 273 280 294 305 312 320 336 364 366 390 392 416 420 427 448 455 480 488 490 520 546 560 588 610 624 637 672 728 732 735 780 784 793 832 840 854 910 915 960 976 980 1040 1092 1120 1176 1220 1248 1274 1281 1344 1365 1456 1464 1470 1560 1568 1586 1680 1708 1820 1830 1911 1952 1960 2080 2135 2184 2240 2352 2379 2440 2496 2548 2562 2730 2912 2928 2940 2989 3120 3136 3172 3185 3360 3416 3640 3660 3721 3822 3904 3920 3965 4160 4270 4368 4704 4758 4880 5096 5124 5460 5551 5824 5856 5880 5978 6240 6344 6370 6405 6720 6832 7280 7320 7442 7644 7840 7930 8540 8736 8967 9408 9516 9555 9760 10192 10248 10920 11102 11163 11712 11760 11895 11956 12480 12688 12740 12810 13664 14560 14640 14884 14945 15288 15680 15860 16653 17080 17472 17934 18605 19032 19110 19520 20384 20496 21840 22204 22326 23520 23790 23912 25376 25480 25620 26047 27328 27755 29120 29280 29768 29890 30576 31720 33306 34160 35868 37210 38064 38220 38857 40768 40992 43680 44408 44652 44835 47040 47580 47824 48373 50752 50960 51240 52094 55510 55815 58560 59536 59780 61152 63440 64567 66612 68320 71736 74420 76128 76440 77714 78141 81984 83265 87360 88816 89304 89670 95160 95648 96746 101920 102480 104188 111020 111630 116571 119072 119560 122304 126880 129134 130235 133224 136640 143472 145119 148840 152256 152880 155428 156282 166530 177632 178608 179340 182329 190320 191296 193492 193701 194285 203840 204960 208376 222040 223260 233142 238144 239120 241865 253760 258268 260470 266448 286944 290238 297680 305760 310856 312564 322835 333060 338611 355264 357216 358680 364658 380640 386984 387402 388570 390705 409920 416752 444080 446520 451969 466284 478240 483730 516536 520940 532896 546987 573888 580476 582855 595360 611520 621712 625128 645670 666120 677222 714432 717360 725595 729316 761280 773968 774804 777140 781410 833504 839371 888160 893040 903938 911645 932568 956480 967460 968505 1015833 1033072 1041880 1065792 1093974 1160952 1165710 1190720 1243424 1250256 1291340 1332240 1354444 1355907 1434720 1451190 1458632 1547936 1549608 1554280 1562820 1667008 1678742 1693055 1776320 1786080 1807876 1823290 1865136 1934920 1937010 2031666 2066144 2083760 2187948 2259845 2321904 2331420 2370277 2486848 2500512 2518113 2582680 2664480 2708888 2711814 2734935 2869440 2902380 2917264 3095872 3099216 3108560 3125640 3163783 3357484 3386110 3572160 3615752 3646580 3730272 3869840 3874020 3938587 4063332 4132288 4167520 4196855 4375896 4519690 4643808 4662840 4740554 5001024 5036226 5079165 5165360 5328960 5417776 5423628 5469870 5804760 5834528 5875597 6198432 6217120 6251280 6327566 6714968 6772220 6779535 7110831 7231504 7293160 7460544 7739680 7748040 7877174 8126664 8335040 8393710 8751792 9039380 9287616 9325680 9481108 9491349 10072452 10158330 10330720 10835552 10847256 10939740 11609520 11669056 11751194 11815761 11851385 12396864 12434240 12502560 12590565 12655132 13429936 13544440 13559070 14221662 14463008 14586320 15479360 15496080 15754348 15818915 16253328 16787420 17503584 17626791 18078760 18651360 18962216 18982698 19692935 20144904 20316660 20661440 21671104 21694512 21879480 23219040 23502388 23631522 23702770 25005120 25181130 25310264 26859872 27088880 27118140 27570109 28443324 28926016 29172640 29377985 30992160 31508696 31637830 32506656 33574840 35007168 35253582 35554155 36157520 37302720 37924432 37965396 39385870 40289808 40633320 41129179 43389024 43758960 46438080 47004776 47263044 47405540 47456745 50362260 50620528 51201631 53719744 54177760 54236280 55140218 56886648 58345280 58755970 59078805 61984320 63017392 63275660 65013312 67149680 70507164 71108310 72315040 75848864 75930792 78771740 80579616 81266640 82258358 82710327 86778048 87517920 88133955 94009552 94526088 94811080 94913490 100724520 101241056 102403262 108355520 108472560 110280436 113773296 117511940 118157610 123387537 126034784 126551320 134299360 137850545 141014328 142216620 144630080 151697728 151861584 153604893 157543480 161159232 162533280 164516716 165420654 175035840 176267910 188019104 189052176 189622160 189826980 192990763 201449040 202482112 204806524 205645895 216945120 220560872 227546592 235023880 236315220 240253807 246775074 252069568 253102640 256008155 268598720 275701090 282028656 284433240 303723168 307209786 315086960 325066560 329033432 330841308 352535820 358411417 376038208 378104352 379244320 379653960 385981526 402898080 409613048 411291790 413551635 433890240 441121744 455093184 470047760 472630440 480507614 493550148 506205280 512016310 551402180 564057312 568866480 578972289 607446336 614419572 616937685 630173920 658066864 661682616 705071640 716822834 720761421 756208704 758488640 759307920 768024465 771963052 805796160 819226096 822583580 827103270 882243488 940095520 945260880 961015228 964953815 987100296 1012410560 1024032620 1075234251 1102804360 1128114624 1137732960 1157944578 1201269035 1228839144 1233875370 1260347840 1316133728 1323365232 1410143280 1433645668 1441522842 1518615840 1536048930 1543926104 1638452192 1645167160 1654206540 1681776649 1764486976 1792057085 1880191040 1890521760 1922030456 1929907630 1974200592 2048065240 2150468502 2205608720 2275465920 2315889156 2402538070 2457678288 2467750740 2508879919 2632267456 2646730464 2820286560 2867291336 2883045684 2894861445 3037231680 3072097860 3087852208 3123299491 3276904384 3290334320 3308413080 3363553298 3584114170 3603807105 3781043520 3844060912 3859815260 3948401184 4096130480 4300937004 4411217440 4631778312 4805076140 4915356576 4935501480 5017759838 5045329947 5293460928 5376171255 5640573120 5734582672 5766091368 5789722890 6144195720 6175704416 6246598982 6580668640 6616826160 6727106596 7168228340 7207614210 7526639757 7688121824 7719630520 7896802368 8192260960 8408883245 8601874008 8822434880 9263556624 9369898473 9610152280 9830713152 9871002960 10035519676 10090659894 10752342510 11469165344 11532182736 11579445780 11772436543 12288391440 12351408832 12493197964 12544399595 13161337280 13233652320 13454213192 14336456680 14415228420 15053279514 15376243648 15439261040 15616497455 16384521920 16817766490 17203748016 18527113248 18739796946 19220304560 19742005920 20071039352 20181319788 21504685020 21863096437 22938330688 23064365472 23158891560 23544873086 24576782880 24986395928 25088799190 25226649735 26467304640 26908426384 28672913360 28830456840 30106559028 30878522080 31232994910 33635532980 34407496032 35317309629 37054226496 37479593892 37633198785 38440609120 39484011840 40142078704 40362639576 43009370040 43726192874 46128730944 46317783120 46849492365 47089746172 49153565760 49972791856 50177598380 50453299470 53816852768 57345826720 57660913680 58862182715 60213118056 61757044160 62465989820 65589289311 67271065960 68814992064 70634619258 74959187784 75266397570 76881218240 80284157408 80725279152 86018740080 87452385748 92635566240 93698984730 94179492344 99945583712 100355196760 100906598940 107633705536 109315482185 114691653440 115321827360 117724365430 120426236112 124931979640 131178578622 134542131920 141269238516 149918375568 150532795140 153041675059 160568314816 161450558304 172037480160 174904771496 176586548145 185271132480 187397969460 188358984688 199891167424 200710393520 201813197880 218630964370 230643654720 235448730860 240852472224 249863959280 262357157244 269084263840 282538477032 299836751136 301065590280 306083350118 322901116608 327946446555 344074960320 349809542992 353173096290 374795938920 376717969376 401420787040 403626395760 437261928740 459125025177 470897461720 481704944448 499727918560 524714314488 538168527680 565076954064 599673502272 602131180560 612166700236 655892893110 699619085984 706346192580 749591877840 753435938752 765208375295 802841574080 807252791520 874523857480 918250050354 941794923440 999455837120 1049428628976 1130153908128 1204262361120 1224333400472 1311785786220 1399238171968 1412692385160 1499183755680 1530416750590 1614505583040 1749047714960 1836500100708 1883589846880 2098857257952 2260307816256 2295625125885 2408524722240 2448666800944 2623571572440 2825384770320 2998367511360 3060833501180 3498095429920 3673000201416 3767179693760 4197714515904 4591250251770 4897333601888 5247143144880 5650769540640 6121667002360 6996190859840 7346000402832 9182500503540 9794667203776 10494286289760 11301539081280 12243334004720 14692000805664 18365001007080 20988572579520 24486668009440 29384001611328 36730002014160 48973336018880 73460004028320 146920008056640
- Sum of all divisors σ(n): 594116384674176
- Sum of proper divisors (its aliquot sum) s(n): 447196376617536
- 146920008056640 is an abundant number, because the sum of its proper divisors (447196376617536) is greater than itself. Its abundance is 300276368560896
Bases of 146920008056640
- Binary: 1000010110011111011110101110001111111111010000002
- Hexadecimal: 0x859F7AE3FF40
- Base-36: 1G2U4BFNEO
Squares and roots of 146920008056640
- 146920008056640 squared (1469200080566402) is 21585488767363162509448089600
- 146920008056640 cubed (1469200080566403) is 3171340183607508058576862924151856594944000
-
The
square root of 146920008056640 is 12121056.3919420817 -
The
cube root of 146920008056640 is 52766.7461705085
Scales and comparisons
How big is 146920008056640?- 146,920,008,056,640 seconds is equal to 4,671,601 years, 41 weeks, 5 days, 5 hours, 4 minutes.
-
To count from 1 to 146,920,008,056,640 would take you about eleven million, six hundred seventy-nine thousand and 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 146920008056640 cubic inches would be around 4397.2 feet tall.
Recreational maths with 146920008056640
- 146920008056640 backwards is 046650800029641
- The number of decimal digits it has is: 15
- The sum of 146920008056640's digits is 51
- More coming soon!
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The information we have on file for 146920008056640 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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