513031394304
513,031,394,304 is an even composite number composed of six prime numbers multiplied together.
513031394304 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 513031394304:
210 × 33 × 11 × 13 × 172 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 13 × 17 × 17 × 449)See below for interesting mathematical facts about the number 513031394304 from the Numbermatics database.
Names of 513031394304
- Cardinal: 513031394304 can be written as Five hundred thirteen billion, thirty-one million, three hundred ninety-four thousand, three hundred four.
Scientific notation
- Scientific notation: 5.13031394304 × 1011
Factors of 513031394304
Divisors of 513031394304
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 32 33 34 36 39 44 48 51 52 54 64 66 68 72 78 88 96 99 102 104 108 117 128 132 136 143 144 153 156 176 187 192 198 204 208 216 221 234 256 264 272 286 288 289 297 306 312 351 352 374 384 396 408 416 429 432 442 449 459 468 512 528 544 561 572 576 578 594 612 624 663 702 704 748 768 792 816 832 858 864 867 884 898 918 936 1024 1056 1088 1122 1144 1152 1156 1188 1224 1248 1287 1326 1347 1404 1408 1496 1536 1584 1632 1664 1683 1716 1728 1734 1768 1796 1836 1872 1989 2112 2176 2244 2288 2304 2312 2376 2431 2448 2496 2574 2601 2652 2694 2808 2816 2992 3072 3168 3179 3264 3328 3366 3432 3456 3468 3536 3592 3672 3744 3757 3861 3978 4041 4224 4352 4488 4576 4608 4624 4752 4862 4896 4939 4992 5049 5148 5202 5304 5388 5616 5632 5837 5967 5984 6336 6358 6528 6656 6732 6864 6912 6936 7072 7184 7293 7344 7488 7514 7633 7722 7803 7956 8082 8448 8704 8976 9152 9216 9248 9504 9537 9724 9792 9878 9984 10098 10296 10404 10608 10776 11232 11264 11271 11674 11934 11968 12123 12672 12716 13056 13312 13464 13728 13824 13872 14144 14368 14586 14688 14817 14976 15028 15266 15444 15606 15912 16164 16896 17408 17511 17952 18304 18496 19008 19074 19448 19584 19756 19968 20196 20592 20808 21216 21552 21879 22464 22542 22899 23348 23868 23936 24246 25344 25432 26112 26928 27456 27648 27744 28288 28611 28736 29172 29376 29634 29952 30056 30532 30888 31212 31824 32328 33792 33813 35022 35904 36608 36992 38016 38148 38896 39168 39512 39936 40392 41184 41327 41616 42432 43104 43758 44451 44928 45084 45798 46696 47736 47872 48492 50688 50864 52224 52533 53856 54912 55488 56576 57222 57472 58344 58752 59268 59904 60112 61064 61776 62424 63648 64207 64656 65637 67626 68697 70044 71808 73216 73984 76032 76296 77792 78336 79024 80784 82368 82654 83232 83963 84864 85833 86208 87516 88902 89856 90168 91596 93392 95472 95744 96984 99229 101376 101439 101728 105066 107712 109824 110976 113152 114444 114944 116688 117504 118536 119808 120224 122128 123552 123981 124848 127296 128414 129312 129761 131274 133353 135252 137394 140088 143616 146432 147968 152064 152592 155584 156672 157599 158048 161568 164736 165308 166464 167926 169728 171666 172416 175032 177804 179712 180336 183192 186784 190944 191488 192621 193968 198458 202878 203456 206091 210132 215424 219648 221952 226304 228888 229888 233376 235008 237072 240448 244256 247104 247962 249696 251889 254592 256828 258624 259522 262548 266706 270504 274788 280176 287232 295936 297687 304128 305184 311168 315198 316096 323136 329472 330616 332928 335852 339456 343332 344832 350064 355608 359424 360672 366384 371943 373568 381888 385242 387936 389283 396916 405756 406912 412182 420264 430848 439296 443904 457776 459776 466752 470016 474144 480896 488512 494208 495924 499392 503778 509184 513656 517248 519044 525096 533412 541008 549576 560352 574464 577863 595374 610368 622336 630396 632192 646272 658944 661232 665856 671704 678912 686664 689664 700128 711216 721344 732768 743886 747136 755667 763776 770484 775872 778566 793832 811512 813824 824364 840528 861696 887808 893061 915552 933504 948288 961792 977024 988416 991848 998784 1007556 1018368 1027312 1034496 1038088 1050192 1066824 1082016 1091519 1099152 1115829 1120704 1155726 1167849 1190748 1220736 1244672 1260792 1264384 1292544 1317888 1322464 1331712 1343408 1373328 1379328 1400256 1422432 1427371 1442688 1465536 1487772 1494272 1511334 1527552 1540968 1551744 1557132 1587664 1623024 1627648 1648728 1681056 1686893 1723392 1733589 1786122 1831104 1867008 1896576 1923584 1954048 1976832 1983696 1997568 2015112 2036736 2054624 2068992 2076176 2100384 2133648 2164032 2183038 2198304 2231658 2241408 2267001 2311452 2335698 2381496 2441472 2489344 2521584 2528768 2585088 2644928 2663424 2679183 2686816 2746656 2800512 2844864 2854742 2885376 2931072 2975544 2988544 3022668 3055104 3081936 3103488 3114264 3175328 3246048 3255296 3274557 3297456 3362112 3373786 3467178 3503547 3572244 3662208 3734016 3793152 3847168 3908096 3953664 3967392 3995136 4030224 4109248 4137984 4152352 4200768 4267296 4282113 4328064 4366076 4396608 4463316 4482816 4534002 4622904 4671396 4762992 4882944 5043168 5057536 5060679 5170176 5289856 5358366 5373632 5493312 5601024 5689728 5709484 5770752 5862144 5951088 5977088 6045336 6110208 6163872 6206976 6228528 6350656 6492096 6549114 6594912 6724224 6747572 6934356 7007094 7144488 7324416 7468032 7586304 7816192 7934784 7990272 8060448 8218496 8304704 8401536 8534592 8564226 8656128 8732152 8793216 8926632 8965632 9068004 9245808 9342792 9525984 9765888 9823671 10086336 10121358 10579712 10716732 10747264 10986624 11202048 11379456 11418968 11541504 11724288 11902176 12090672 12327744 12413952 12457056 12701312 12846339 12984192 13098228 13189824 13448448 13495144 13868712 14014188 14288976 14648832 15172608 15182037 15869568 16120896 16436992 16609408 16803072 17069184 17128452 17312256 17464304 17586432 17853264 17931264 18136008 18491616 18555823 18685584 19051968 19647342 20172672 20242716 21159424 21433464 21494528 21973248 22404096 22758912 22837936 23448576 23804352 24181344 24655488 24914112 25402624 25692678 25968384 26196456 26379648 26896896 26990288 27737424 28028376 28577952 29297664 29471013 30364074 31739136 32241792 32873984 33218816 33606144 34138368 34256904 34624512 34928608 35172864 35706528 36272016 36983232 37111646 37371168 38103936 38539017 39294684 40345344 40485432 42318848 42866928 42989056 43946496 45517824 45546111 45675872 47608704 48362688 49310976 49828224 50805248 51385356 51936768 52392912 52759296 53793792 53980576 55474848 55667469 56056752 57155904 58942026 60728148 63478272 64483584 65747968 66437632 67212288 68276736 68513808 69857216 70345728 71413056 72544032 73966464 74223292 74742336 76207872 77078034 78589368 80690688 80970864 85733856 85978112 87892992 91092222 91351744 95217408 96725376 98621952 99656448 101610496 102770712 103873536 104785824 105518592 107961152 110949696 111334938 112113504 114311808 117884052 121456296 126956544 128967168 132875264 136553472 137027616 139714432 142826112 145088064 147932928 148446584 149484672 152415744 154156068 157178736 161381376 161941728 167002407 171467712 182184444 182703488 190434816 193450752 197243904 199312896 205541424 209571648 211037184 215922304 221899392 222669876 224227008 228623616 235768104 242912592 257934336 274055232 279428864 285652224 290176128 295865856 296893168 298969344 304831488 308312136 314357472 323883456 334004814 342935424 364368888 365406976 380869632 386901504 398625792 411082848 419143296 431844608 443798784 445339752 448454016 457247232 471536208 485825184 501007221 548110464 558857728 571304448 580352256 591731712 593786336 597938688 616624272 628714944 647766912 668009628 685870848 728737776 730813952 773803008 822165696 838286592 863689216 887597568 890679504 896908032 914494464 943072416 971650368 1002014442 1096220928 1117715456 1142608896 1160704512 1187572672 1195877376 1233248544 1257429888 1295533824 1336019256 1371741696 1457475552 1461627904 1644331392 1676573184 1727378432 1775195136 1781359008 1793816064 1886144832 1943300736 2004028884 2192441856 2321409024 2375145344 2466497088 2514859776 2591067648 2672038512 2743483392 2914951104 3288662784 3353146368 3562718016 3587632128 3772289664 3886601472 4008057768 4384883712 4750290688 4932994176 5029719552 5182135296 5344077024 5829902208 6577325568 7125436032 7544579328 7773202944 8016115536 9500581376 9865988352 10059439104 10688154048 11659804416 13154651136 14250872064 15089158656 15546405888 16032231072 19001162752 19731976704 21376308096 23319608832 28501744128 30178317312 32064462144 39463953408 42752616192 46639217664 57003488256 64128924288 85505232384 128257848576 171010464768 256515697152 513031394304
- Sum of all divisors σ(n): 1900369296000
- Sum of proper divisors (its aliquot sum) s(n): 1387337901696
- 513031394304 is an abundant number, because the sum of its proper divisors (1387337901696) is greater than itself. Its abundance is 874306507392
Bases of 513031394304
- Binary: 1110111011100110000110111010100000000002
- Hexadecimal: 0x77730DD400
- Base-36: 6JOLN9C0
Squares and roots of 513031394304
- 513031394304 squared (5130313943042) is 263201211541506323644416
- 513031394304 cubed (5130313943043) is 135030484539641046387727823183806464
-
The
square root of 513031394304 is 716262.0988883887 -
The
cube root of 513031394304 is 8005.3682422745
Scales and comparisons
How big is 513031394304?- 513,031,394,304 seconds is equal to 16,312 years, 42 weeks, 1 day, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 513,031,394,304 would take you about thirty-two thousand, six hundred twenty-five 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 513031394304 cubic inches would be around 667.1 feet tall.
Recreational maths with 513031394304
- 513031394304 backwards is 403493130315
- 513031394304 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 513031394304's digits is 36
- More coming soon!
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The information we have on file for 513031394304 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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