10390738950144
10,390,738,950,144 is an even composite number composed of seven prime numbers multiplied together.
10390738950144 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 10390738950144:
211 × 32 × 7 × 19 × 31 × 73 × 1873
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 19 × 31 × 73 × 1873)See below for interesting mathematical facts about the number 10390738950144 from the Numbermatics database.
Names of 10390738950144
- Cardinal: 10390738950144 can be written as Ten trillion, three hundred ninety billion, seven hundred thirty-eight million, nine hundred fifty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.0390738950144 × 1013
Factors of 10390738950144
Divisors of 10390738950144
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 31 32 36 38 42 48 56 57 62 63 64 72 73 76 84 93 96 112 114 124 126 128 133 144 146 152 168 171 186 192 217 219 224 228 248 252 256 266 279 288 292 304 336 342 372 384 399 434 438 448 456 496 504 511 512 532 558 576 584 589 608 651 657 672 684 744 768 798 868 876 896 912 992 1008 1022 1024 1064 1116 1152 1168 1178 1197 1216 1302 1314 1344 1368 1387 1488 1533 1536 1596 1736 1752 1767 1792 1824 1873 1953 1984 2016 2044 2048 2128 2232 2263 2304 2336 2356 2394 2432 2604 2628 2688 2736 2774 2976 3066 3072 3192 3472 3504 3534 3584 3648 3746 3906 3968 4032 4088 4123 4161 4256 4464 4526 4599 4608 4672 4712 4788 4864 5208 5256 5301 5376 5472 5548 5619 5952 6132 6144 6384 6789 6944 7008 7068 7168 7296 7492 7812 7936 8064 8176 8246 8322 8512 8928 9052 9198 9216 9344 9424 9576 9709 9728 10416 10512 10602 10752 10944 11096 11238 11904 12264 12369 12483 12768 13111 13578 13888 14016 14136 14336 14592 14984 15624 15841 15872 16128 16352 16492 16644 16857 17024 17856 18104 18396 18432 18688 18848 19152 19418 19456 20367 20832 21024 21204 21504 21888 22192 22476 23808 24528 24738 24966 25536 26222 27156 27776 28032 28272 29127 29184 29968 31248 31682 31744 32256 32704 32984 33288 33714 34048 35587 35712 36208 36792 37107 37376 37696 38304 38836 38912 39333 40734 41664 42048 42408 42997 43008 43776 44384 44952 47523 47616 49056 49476 49932 51072 52444 54312 55552 56064 56544 58063 58254 58368 59936 62496 63364 63488 64512 65408 65968 66576 67428 68096 71174 71424 72416 73584 74214 74752 75392 76608 77672 78666 81468 83328 84096 84816 85994 87381 87552 88768 89904 95046 95232 98112 98952 99864 102144 104888 106761 108624 111104 112128 113088 116126 116508 116736 117999 119872 124992 126728 128991 129024 130816 131936 133152 134856 136192 136729 142348 142569 142848 144832 147168 148428 149504 150784 153216 155344 157332 162936 166656 168192 169632 171988 174189 174762 175104 177536 179808 190092 190464 196224 197904 199728 204288 209776 213522 217248 222208 224256 226176 232252 233016 235998 239744 249109 249984 253456 257982 261632 263872 266304 269712 272384 273458 284696 285138 285696 289664 294336 296856 300979 301568 306432 310688 314664 320283 325872 333312 336384 339264 343976 348378 349524 350208 355072 359616 380184 386973 392448 395808 399456 406441 408576 410187 419552 427044 434496 444416 448512 452352 464504 466032 471996 479488 498218 499968 506912 515964 522567 523264 527744 532608 539424 546916 569392 570276 571392 579328 588672 593712 601958 603136 612864 621376 629328 640566 651744 666624 672768 678528 687952 696756 699048 710144 719232 747327 760368 773946 784896 791616 798912 812882 817152 820374 839104 854088 868992 902937 904704 929008 932064 943992 957103 958976 996436 999936 1013824 1031928 1045134 1046528 1055488 1065216 1078848 1093832 1103197 1138784 1140552 1158656 1177344 1187424 1203916 1206272 1219323 1225728 1230561 1242752 1258656 1281132 1303488 1333248 1345536 1357056 1375904 1393512 1398096 1420288 1438464 1494654 1520736 1547892 1569792 1583232 1597824 1625764 1640748 1678208 1708176 1737984 1805874 1809408 1858016 1864128 1887984 1914206 1917952 1992872 1999872 2027648 2063856 2090268 2110976 2130432 2157696 2187664 2206394 2241981 2277568 2281104 2317312 2354688 2374848 2407832 2438646 2451456 2461122 2485504 2517312 2562264 2597851 2606976 2708811 2714112 2751808 2787024 2796192 2840576 2871309 2876928 2989308 3041472 3095784 3139584 3166464 3195648 3251528 3281496 3309591 3356416 3416352 3475968 3611748 3618816 3657969 3716032 3728256 3775968 3828412 3835904 3985744 3999744 4055296 4127712 4180536 4221952 4238599 4260864 4315392 4375328 4412788 4483962 4555136 4562208 4634624 4709376 4749696 4815664 4877292 4922244 4971008 5034624 5124528 5195702 5213952 5417622 5428224 5503616 5574048 5592384 5742618 5753856 5978616 6082944 6191568 6332928 6391296 6503056 6562992 6619182 6712832 6832704 6951936 7223496 7315938 7432064 7456512 7551936 7656824 7722379 7793553 7971488 8110592 8255424 8361072 8443904 8477198 8521728 8613927 8630784 8750656 8825576 8967924 9110272 9124416 9418752 9499392 9631328 9754584 9844488 9928773 9942016 10069248 10249056 10391404 10427904 10835244 10856448 11007232 11148096 11184768 11485236 11507712 11957232 12165888 12383136 12665856 12715797 12782592 13006112 13125984 13238364 13425664 13665408 13903872 14446992 14631876 14864128 14913024 15103872 15313648 15444758 15587106 15942976 16221184 16510848 16722144 16954396 17227854 17261568 17501312 17651152 17935848 18184957 18220544 18248832 18998784 19262656 19509168 19688976 19857546 19884032 20138496 20498112 20782808 20855808 21670488 22014464 22296192 22369536 22970472 23167137 23380659 23914464 24331776 24766272 25331712 25431594 25565184 26012224 26251968 26476728 26851328 27330816 28893984 29263752 29670193 29728256 29826048 30207744 30627296 30889516 31174212 31885952 32442368 33021696 33444288 33908792 34455708 34523136 35002624 35302304 35871696 36369914 36441088 36497664 37997568 38147391 38525312 39018336 39377952 39715092 40276992 40996224 41565616 41711616 43340976 44028928 44592384 44739072 45940944 46334274 46761318 47828928 48663552 49532544 50863188 52024448 52503936 52953456 54554871 54661632 57787968 58527504 59340386 59456512 59652096 60415488 61254592 61779032 62348424 63771904 66043392 66888576 67817584 68911416 69501411 70005248 70604608 71743392 72739828 72882176 72995328 75995136 76294782 77050624 78036672 78755904 79430184 80533381 80553984 81992448 83131232 86681952 88057856 89010579 89184768 89478144 91881888 92668548 93522636 95657856 97327104 99065088 101726376 104048896 105007872 105906912 109109742 109323264 115575936 117055008 118680772 118913024 120830976 122509184 123558064 124696848 127543808 132086784 133777152 135635168 137822832 139002822 140010496 141209216 143486784 145479656 145990656 152589564 154101248 156073344 157511808 158860368 161066762 163664613 163984896 166262464 173363904 178021158 178369536 178956288 183763776 185337096 187045272 191315712 198130176 203452752 208097792 210015744 211813824 218219484 218646528 231151872 234110016 237361544 241600143 241661952 245018368 247116128 249393696 255087616 264173568 267031737 267554304 271270336 275645664 278005644 280020992 282418432 286973568 290959312 291981312 305179128 308202496 312146688 315023616 317720736 322133524 327329226 327969792 332524928 346727808 356042316 356739072 367527552 370674192 374090544 382631424 396260352 406905504 416195584 420031488 423627648 436438968 462303744 468220032 474723088 483200286 490036736 494232256 498787392 510175232 534063474 535108608 542540672 551291328 556011288 563733667 564836864 573947136 581918624 610358256 616404992 624293376 630047232 635441472 644267048 654658452 655939584 665049856 693455616 712084632 724800429 735055104 741348384 748181088 765262848 792520704 813811008 832391168 840062976 847255296 872877936 924607488 936440064 949446176 966400572 980073472 988464512 997574784 1068126948 1070217216 1085081344 1102582656 1112022576 1127467334 1129673728 1147894272 1163837248 1220716512 1248586752 1260094464 1270882944 1288534096 1309316904 1330099712 1386911232 1424169264 1449600858 1470110208 1482696768 1496362176 1530525696 1627622016 1691201001 1694510592 1745755872 1849214976 1872880128 1898892352 1932801144 1960146944 1976929024 1995149568 2136253896 2170162688 2205165312 2224045152 2254934668 2259347456 2295788544 2327674496 2441433024 2497173504 2520188928 2541765888 2577068192 2618633808 2660199424 2773822464 2848338528 2899201716 2940220416 2965393536 2992724352 3255244032 3382402002 3389021184 3491511744 3745760256 3797784704 3865602288 3953858048 3990299136 4272507792 4340325376 4410330624 4448090304 4509869336 4591577088 4655348992 4882866048 5073603003 5083531776 5154136384 5237267616 5320398848 5547644928 5696677056 5798403432 5880440832 5930787072 5985448704 6510488064 6764804004 6778042368 6983023488 7491520512 7595569408 7731204576 7907716096 7980598272 8545015584 8680650752 8820661248 8896180608 9019738672 9310697984 9765732096 10147206006 10167063552 10308272768 10474535232 11393354112 11596806864 11861574144 11970897408 13020976128 13529608008 13966046976 15191138816 15462409152 15815432192 15961196544 17090031168 17641322496 17792361216 18039477344 18621395968 19531464192 20294412012 20334127104 20616545536 20949070464 22786708224 23193613728 23723148288 23941794816 26041952256 27059216016 27932093952 30382277632 30924818304 34180062336 35584722432 36078954688 37242791936 39062928384 40588824024 41233091072 41898140928 45573416448 46387227456 47446296576 47883589632 54118432032 55864187904 60764555264 61849636608 68360124672 71169444864 72157909376 78125856768 81177648048 82466182144 83796281856 91146832896 92774454912 108236864064 111728375808 123699273216 136720249344 142338889728 144315818752 162355296096 164932364288 167592563712 182293665792 185548909824 216473728128 247398546432 273440498688 288631637504 324710592192 335185127424 371097819648 432947456256 494797092864 546880997376 577263275008 649421184384 742195639296 865894912512 1154526550016 1298842368768 1484391278592 1731789825024 2597684737536 3463579650048 5195369475072 10390738950144
- Sum of all divisors σ(n): 37797974323200
- Sum of proper divisors (its aliquot sum) s(n): 27407235373056
- 10390738950144 is an abundant number, because the sum of its proper divisors (27407235373056) is greater than itself. Its abundance is 17016496422912
Bases of 10390738950144
- Binary: 100101110011010010000100110111011000000000002
- Hexadecimal: 0x973484DD800
- Base-36: 3OLFTOU80
Squares and roots of 10390738950144
- 10390738950144 squared (103907389501442) is 107967455930039635317620736
- 10390738950144 cubed (103907389501443) is 1121861649680218627392523110368604585984
-
The
square root of 10390738950144 is 3223466.9146966593 -
The
cube root of 10390738950144 is 21821.3766063725
Scales and comparisons
How big is 10390738950144?- 10,390,738,950,144 seconds is equal to 330,393 years, 18 weeks, 4 days, 7 hours, 2 minutes, 24 seconds.
-
To count from 1 to 10,390,738,950,144 would take you about eight hundred twenty-five thousand, nine hundred eighty-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 10390738950144 cubic inches would be around 1818.4 feet tall.
Recreational maths with 10390738950144
- 10390738950144 backwards is 44105983709301
- The number of decimal digits it has is: 14
- The sum of 10390738950144's digits is 54
- More coming soon!
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The information we have on file for 10390738950144 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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