146007040076352
146,007,040,076,352 is an even composite number composed of eight prime numbers multiplied together.
146007040076352 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 146007040076352:
26 × 33 × 7 × 13 × 17 × 31 × 547 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 17 × 31 × 547 × 3221)See below for interesting mathematical facts about the number 146007040076352 from the Numbermatics database.
Names of 146007040076352
- Cardinal: 146007040076352 can be written as One hundred forty-six trillion, seven billion, forty million, seventy-six thousand, three hundred fifty-two.
Scientific notation
- Scientific notation: 1.46007040076352 × 1014
Factors of 146007040076352
Divisors of 146007040076352
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 17 18 21 24 26 27 28 31 32 34 36 39 42 48 51 52 54 56 62 63 64 68 72 78 84 91 93 96 102 104 108 112 117 119 124 126 136 144 153 156 168 182 186 189 192 204 208 216 217 221 224 234 238 248 252 272 273 279 288 306 312 336 351 357 364 372 378 403 408 416 432 434 442 448 459 468 476 496 504 527 544 546 547 558 576 612 624 651 663 672 702 714 728 744 756 806 816 819 832 837 864 868 884 918 936 952 992 1008 1054 1071 1088 1092 1094 1116 1209 1224 1248 1302 1326 1344 1404 1428 1456 1488 1512 1547 1581 1612 1632 1638 1641 1674 1728 1736 1768 1836 1872 1904 1953 1984 1989 2016 2108 2142 2184 2188 2232 2418 2448 2457 2496 2604 2652 2808 2821 2856 2912 2976 3024 3094 3162 3213 3221 3224 3264 3276 3282 3348 3472 3536 3627 3672 3689 3744 3808 3829 3906 3978 4032 4216 4284 4368 4376 4464 4641 4743 4836 4896 4914 4923 5208 5304 5616 5642 5712 5824 5859 5952 5967 6048 6188 6324 6426 6442 6448 6552 6564 6696 6851 6944 7072 7111 7254 7344 7378 7488 7616 7658 7812 7956 8432 8463 8568 8736 8752 8928 9282 9299 9486 9663 9672 9792 9828 9846 10416 10608 10881 11067 11232 11284 11424 11487 11718 11934 12096 12376 12648 12852 12884 12896 13104 13128 13392 13702 13888 13923 14144 14222 14229 14508 14688 14756 14769 15316 15624 15912 16864 16926 16957 17136 17472 17504 17856 18564 18598 18972 19326 19344 19656 19692 20553 20832 21216 21333 21762 22134 22464 22547 22568 22848 22974 23436 23868 24752 25296 25389 25704 25768 25792 26208 26256 26784 27404 27846 27897 28444 28458 28989 29016 29376 29512 29538 30632 31248 31824 33201 33728 33852 33914 34272 34461 35008 37128 37196 37944 38652 38688 39312 39384 41106 41664 41769 41873 42432 42666 43524 44268 45094 45136 45948 46872 47736 47957 49504 49777 50592 50778 50871 51408 51536 52416 52512 53568 54757 54808 55692 55794 56888 56916 57978 58032 59024 59076 61264 61659 62496 63648 63999 65093 66402 67641 67704 67828 68544 68922 74256 74392 75888 76167 77304 77376 78624 78768 82212 83538 83691 83746 85332 86967 87048 88536 90188 90272 91896 93744 95472 95914 99008 99554 99603 99851 101184 101556 101742 102816 103072 103383 105024 109514 109616 111384 111588 113776 113832 115956 116064 118048 118152 118699 120887 122528 123318 124992 125619 127296 127998 130186 132804 135282 135408 135656 137844 143871 148512 148784 149331 151776 152334 152613 154608 157248 157536 164271 164424 167076 167382 167492 170664 173934 174096 177072 180376 180544 183792 184977 187488 190944 191828 191997 195279 199108 199206 199702 202923 203112 203484 205632 206144 206766 219028 219232 220441 222768 223176 227552 227664 231912 232128 236096 236304 237398 241774 245056 246636 251073 251238 255996 260372 265608 270564 270816 271312 275688 287742 288269 293111 297024 297568 298662 299553 303552 304668 305226 309216 315072 328542 328848 334152 334764 334984 341328 347868 348192 354144 356097 360752 362661 367584 369954 374976 376857 381888 383299 383656 383994 390558 398216 398412 399404 405846 406224 406968 413532 431613 438056 438464 440882 445536 446352 447993 455104 455328 457839 463824 472608 474796 483548 492813 493272 502146 502476 511992 520744 531216 541128 541632 542624 551376 575484 576538 585837 586222 595136 597324 599106 608769 609336 610452 618432 657084 657696 661323 668304 669528 669968 682656 695736 696384 698957 708288 711841 712194 721504 725322 735168 739908 753714 766598 767312 767988 781116 796432 796824 798808 811692 812448 813936 827064 846209 863226 864807 876112 879333 881764 891072 892704 895986 898659 910656 915678 927648 945216 949592 967096 985626 986544 1004292 1004952 1023984 1041488 1062432 1068291 1082256 1085248 1087983 1102752 1130571 1149897 1150968 1153076 1171674 1172444 1194648 1198212 1217538 1218672 1220904 1294839 1298063 1314168 1315392 1322646 1336608 1339056 1339936 1343979 1365312 1391472 1397914 1423682 1424388 1443008 1450644 1478439 1479816 1507428 1533196 1534624 1535976 1543087 1562232 1592864 1593648 1597616 1623384 1624896 1627872 1654128 1692418 1697467 1726452 1729614 1752224 1757511 1758666 1761887 1763528 1785408 1791972 1797318 1831356 1855296 1899184 1934192 1971252 1973088 1983969 2008584 2009904 2017883 2047968 2082976 2096871 2124864 2135523 2136582 2164512 2175966 2205504 2261142 2299794 2301936 2306152 2343348 2344888 2389296 2396424 2435076 2437344 2441808 2538627 2589678 2594421 2596126 2628336 2637999 2645292 2673216 2678112 2679872 2687958 2695977 2782944 2795828 2847364 2848776 2901288 2956878 2959632 3014856 3066392 3069248 3071952 3086174 3124464 3185728 3187296 3195232 3204873 3246768 3255744 3263949 3308256 3384836 3394934 3449691 3452904 3459228 3504448 3515022 3517332 3523774 3527056 3583944 3594636 3662712 3747497 3798368 3868384 3894189 3942504 3946176 3967938 4017168 4019808 4035766 4095936 4165952 4193742 4271046 4273164 4329024 4351932 4522284 4599588 4603872 4612304 4629261 4686696 4689776 4778592 4792848 4870152 4874688 4883616 4982887 5077254 5092401 5179356 5188842 5192252 5256672 5275998 5285661 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119808316 119919904 121854096 122217624 124532208 124614048 126623952 126855864 126974016 129144512 132402426 134199744 134537949 134909892 136673472 137427186 140190804 142587228 145287576 145383056 147998508 148136352 150974712 153757656 154469497 157394874 159452384 160331717 162472128 162956832 163555938 163855491 165585168 166042944 166653396 168831936 169141152 172542528 176536568 179383932 179712474 179879856 182781144 183236248 183326436 186921072 190116304 190283796 190461024 193716768 197331344 198603639 201299616 202364838 205010208 205111872 206140779 208892736 209664553 209859832 213880842 217931364 218074584 218473988 220780224 221997762 222204528 236092311 239178576 239616632 239839808 243708192 244435248 245333907 249064416 249228096 253247904 253711728 264804852 269075898 269568711 269819784 274854372 280381608 285174456 290575152 290766112 295997016 296272704 301949424 307515312 308938994 314789748 318904768 320663434 320821263 325913664 327111876 327710982 331170336 332996643 333306792 338282304 353073136 358767864 359424948 359759712 365562288 366472496 366652872 373842144 380232608 380567592 380922048 382329479 387433536 389377027 394662688 397207278 402599232 404729676 410020416 412281558 419329106 419719664 427761684 435862728 436149168 436947976 443995524 444409056 463408491 472184622 478357152 479233264 480995151 487416384 488870496 490667814 491566473 498128832 506495808 507423456 529609704 538151796 539137422 539639568 549708744 560763216 570348912 581150304 581532224 591994032 595810917 603898848 615030624 617877988 618422337 628993659 629579496 641326868 641642526 654223752 655421964 662340672 665993286 666613584 706146272 708276933 710040461 717535728 718849896 719519424 731124576 732944992 733305744 747684288 760465216 761135184 764658958 778754054 789325376 794414556 808706133 809459352 824563116 838658212 839439328 855523368 871725456 872298336 873895952 887991048 888818112 926816982 928514449 944369244 956714304 958466528 961990302 977740992 981335628 983132946 1014846912 1059219408 1076303592 1078274844 1079279136 1099417488 1121526432 1140697824 1146988437 1162300608 1168131081 1183988064 1191621834 1207797696 1230061248 1235755976 1236844674 1257987318 1259158992 1282653736 1283285052 1308447504 1310843928 1331986572 1333227168 1390225473 1412292544 1416553866 1420080922 1435071456 1437699792 1442985453 1462249152 1465889984 1466611488 1474699419 1522270368 1529317916 1557508108 1588829112 1617412266 1618918704 1649126232 1677316424 1678878656 1711046736 1743450912 1744596672 1747791904 1775982096 1853633964 1857028898 1886980977 1888738488 1916933056 1923980604 1962671256 1966265892 2118438816 2130121383 2152607184 2156549688 2158558272 2198834976 2243052864 2281395648 2293976874 2336262162 2367976128 2383243668 2471511952 2473689348 2515974636 2518317984 2565307472 2566570104 2616895008 2621687856 2663973144 2666454336 2725639189 2780450946 2785543347 2833107732 2840161844 2870142912 2875399584 2885970906 2933222976 2949398838 3044540736 3058635832 3115016216 3177658224 3234824532 3237837408 3298252464 3354632848 3422093472 3440965311 3486901824 3495583808 3504393243 3551964192 3707267928 3714057796 3773961954 3777476976 3847961208 3925342512 3932531784 4170676419 4236877632 4260242766 4305214368 4313099376 4328956359 4397669952 4587953748 4672524324 4766487336 4943023904 4947378696 4970283227 5031949272 5036635968 5130614944 5133140208 5233790016 5243375712 5327946288 5451278378 5560901892 5571086694 5660942931 5666215464 5680323688 5750799168 5771941812 5898797676 6117271664 6230032432 6355316448 6390364149 6469649064 6475674816 6499601143 6596504928 6709265696 6844186944 6881930622 7008786486 7103928384 7414535856 7428115592 7547923908 7554953952 7695922416 7850685024 7865063568 8176917567 8341352838 8356630041 8520485532 8610428736 8626198752 8657912718 9175907496 9345048648 9532974672 9886047808 9894757392 9940566454 10063898544 10261229888 10266280416 10322895933 10486751424 10513179729 10655892576 10902556756 11121803784 11142173388 11321885862 11332430928 11360647376 11543883624 11797595352 12070687837 12234543328 12460064864 12710632896 12780728298 12939298128 12999202286 13193009856 13418531392 13763861244 14017572972 14829071712 14856231184 14910849681 15095847816 15109907904 15391844832 15701370048 15730127136 16353835134 16682705676 16713260082 17040971064 17252397504 17315825436 18351814992 18690097296 19065949344 19171092447 19498803429 19789514784 19881132908 20127797088 20532560832 20645791866 21026359458 21311785152 21805113512 22243607568 22284346776 22643771724 22664861856 22721294752 23087767248 23595190704 24141375674 24469086656 24530752701 24920129728 25069890123 25561456596 25878596256 25998404572 27527722488 28035145944 29658143424 29712462368 29821699362 30191695632 30783689664 31460254272 32707670268 33365411352 33426520164 34081942128 34631650872 36212063511 36703629984 37380194592 38131898688 38342184894 38997606858 39579029568 39762265816 40255594176 41291583732 42052718916 43610227024 44487215136 44568693552 44732549043 45287543448 45329723712 45442589504 46175534496 47190381408 48282751348 49061505402 50139780246 51122913192 51757192512 51996809144 55055444976 56070291888 58496410287 59424924736 59643398724 60383391264 65415340536 66730822704 66853040328 68163884256 69263301744 72424127022 73407259968 73592258103 74760389184 76684369788 77995213716 79524531632 82583167464 84105437832 84494814859 87220454048 88974430272 89137387104 89465098086 90575086896 92351068992 94380762816 96565502696 98123010804 100279560492 102245826384 103993618288 108636190533 110110889952 112140583776 116992820574 119286797448 120766782528 130830681072 133461645408 133706080656 134197647129 136327768512 138526603488 144848254044 147184516206 153368739576 155990427432 159049063264 165166334928 168210875664 168989629718 174440908096 175489230861 178274774208 178930196172 181150173792 193131005392 196246021608 200559120984 204491652768 207987236576 217272381066 220221779904 224281167552 233985641148 238573594896 253484444577 261661362144 266923290816 267412161312 268395294258 277053206976 289696508088 294369032412 306737479152 311980854864 318098126528 325908571599 330332669856 336421751328 337979259436 350978461722 357860392344 362300347584 386262010784 392492043216 401118241968 408983305536 415974473152 434544762132 467971282296 477147189792 506968889154 523322724288 534824322624 536790588516 579393016176 588738064824 613474958304 623961709728 651817143198 660665339712 672843502656 675958518872 701956923444 715720784688 760453333731 772524021568 784984086432 802236483936 869089524264 935942564592 954294379584 1013937778308 1073581177032 1158786032352 1177476129648 1226949916608 1247923419456 1303634286396 1351917037744 1403913846888 1431441569376 1520906667462 1569968172864 1604472967872 1738179048528 1871885129184 2027875556616 2147162354064 2281360001193 2317572064704 2354952259296 2607268572792 2703834075488 2807827693776 2862883138752 3041813334924 3476358097056 3743770258368 4055751113232 4294324708128 4562720002386 4709904518592 5214537145584 5407668150976 5615655387552 6083626669848 6952716194112 8111502226464 8588649416256 9125440004772 10429074291168 11231310775104 12167253339696 16223004452928 18250880009544 20858148582336 24334506679392 36501760019088 48669013358784 73003520038176 146007040076352
- Sum of all divisors σ(n): 578642479349760
- Sum of proper divisors (its aliquot sum) s(n): 432635439273408
- 146007040076352 is an abundant number, because the sum of its proper divisors (432635439273408) is greater than itself. Its abundance is 286628399197056
Bases of 146007040076352
- Binary: 1000010011001010111010011100001000101010010000002
- Hexadecimal: 0x84CAE9C22A40
- Base-36: 1FR6PHVDC0
Squares and roots of 146007040076352
- 146007040076352 squared (1460070400763522) is 21318055751857459041989627904
- 146007040076352 cubed (1460070400763523) is 3112586220511358289407961993738436229726208
-
The
square root of 146007040076352 is 12083337.2905150671 -
The
cube root of 146007040076352 is 52657.2206263197
Scales and comparisons
How big is 146007040076352?- 146,007,040,076,352 seconds is equal to 4,642,572 years, 12 weeks, 5 days, 4 hours, 19 minutes, 12 seconds.
-
To count from 1 to 146,007,040,076,352 would take you about eleven million, six hundred six thousand, four hundred thirty 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 146007040076352 cubic inches would be around 4388.1 feet tall.
Recreational maths with 146007040076352
- 146007040076352 backwards is 253670040700641
- The number of decimal digits it has is: 15
- The sum of 146007040076352's digits is 45
- More coming soon!
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"Number 146007040076352 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 146007040076352 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/146007040076352/
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The information we have on file for 146007040076352 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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