13046318112672
13,046,318,112,672 is an even composite number composed of six prime numbers multiplied together.
What does the number 13046318112672 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13046318112672 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13046318112672:
25 × 37 × 13 × 172 × 292 × 59
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 17 × 17 × 29 × 29 × 59)See below for interesting mathematical facts about the number 13046318112672 from the Numbermatics database.
Names of 13046318112672
- Cardinal: 13046318112672 can be written as Thirteen trillion, forty-six billion, three hundred eighteen million, one hundred twelve thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 1.3046318112672 × 1013
Factors of 13046318112672
Divisors of 13046318112672
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 17 18 24 26 27 29 32 34 36 39 48 51 52 54 58 59 68 72 78 81 87 96 102 104 108 116 117 118 136 144 153 156 162 174 177 204 208 216 221 232 234 236 243 261 272 288 289 306 312 324 348 351 354 377 408 416 432 442 459 464 468 472 486 493 522 531 544 578 612 624 648 663 696 702 708 729 754 767 783 816 841 864 867 884 918 928 936 944 972 986 1003 1044 1053 1062 1131 1156 1224 1248 1296 1326 1377 1392 1404 1416 1458 1479 1508 1534 1566 1593 1632 1682 1711 1734 1768 1836 1872 1888 1944 1972 1989 2006 2088 2106 2124 2187 2262 2301 2312 2349 2448 2523 2592 2601 2652 2754 2784 2808 2832 2916 2958 3009 3016 3068 3132 3159 3186 3364 3393 3422 3468 3536 3672 3744 3757 3888 3944 3978 4012 4131 4176 4212 4248 4374 4437 4524 4602 4624 4698 4779 4896 5046 5133 5202 5304 5508 5616 5664 5832 5916 5967 6018 6032 6136 6264 6318 6372 6409 6728 6786 6844 6903 6936 7047 7072 7344 7514 7569 7776 7803 7888 7956 8024 8262 8352 8381 8424 8496 8748 8874 9027 9048 9204 9248 9396 9477 9558 10092 10179 10266 10404 10608 10933 11016 11232 11271 11664 11832 11934 12036 12064 12272 12393 12528 12636 12744 12818 13039 13311 13456 13572 13688 13806 13872 14094 14297 14337 14688 15028 15138 15399 15606 15776 15912 16048 16524 16762 16848 16992 17051 17496 17748 17901 18054 18096 18408 18792 18954 19116 19227 20184 20358 20532 20709 20808 21141 21216 21866 22032 22243 22542 22707 23328 23409 23664 23868 24072 24544 24786 25056 25143 25272 25488 25636 26078 26622 26912 27081 27144 27376 27612 27744 28188 28431 28594 28674 29087 30056 30276 30537 30798 31212 31824 32096 32799 33048 33524 33696 33813 34102 34992 35496 35802 36108 36192 36816 37179 37584 37908 38232 38454 39117 39933 40368 40716 41064 41418 41616 42282 42891 43011 43732 44064 44486 45084 45414 46197 46818 47328 47736 48144 49572 49619 50286 50544 50976 51153 51272 52156 53244 53703 54162 54288 54752 55224 56376 56862 57188 57348 57681 58174 60112 60552 61074 61596 62127 62424 63423 63648 65598 66096 66729 67048 67626 68121 68204 69984 70227 70992 71604 72216 73632 74358 75168 75429 75816 76464 76908 78234 79866 80736 81243 81432 82128 82836 83232 84564 85782 86022 87261 87464 88972 90168 90828 91611 92394 93636 95472 96288 98397 99144 99238 100572 101088 101439 102306 102544 104312 106488 107406 108324 108576 108953 110448 112752 113724 114376 114696 115362 116348 117351 119799 120224 121104 122148 123192 124254 124848 126846 128673 129033 131196 132192 133458 134096 135252 136242 136408 138591 140454 141984 143208 144432 148716 148857 150858 151632 152928 153459 153816 156468 159732 161109 162486 162864 164256 165672 169128 171564 172044 173043 174522 174928 177944 180336 181656 183222 184788 185861 186381 187272 190944 196794 198288 198476 200187 201144 202878 204363 204612 205088 208624 210681 212976 214812 216648 217906 220896 221663 225504 226287 227448 228752 229392 230724 232696 234702 239598 242208 243049 243729 244296 246384 248508 249696 253692 257346 258066 261783 262392 266916 268192 270504 272484 272816 274833 277182 280908 286416 288864 295191 297432 297714 301716 303264 304317 306918 307632 312936 319464 322218 324972 325728 326859 331344 338256 343128 344088 346086 349044 349856 352053 355888 359397 360672 363312 366444 369576 371722 372762 374544 378131 386019 393588 396576 396952 400374 402288 405756 408726 409224 415773 417248 421362 425952 429624 433296 435812 443326 446571 452574 454896 457504 458784 460377 461448 465392 469404 479196 483327 486098 487458 488592 492768 494479 497016 507384 514692 516132 519129 523566 524784 533832 541008 544968 545632 549666 554364 557583 559143 561816 572832 590382 594864 595428 600561 603432 608634 613089 613836 615264 625872 632043 638928 644436 645047 649944 653718 662688 664989 676512 678861 686256 688176 692172 698088 704106 711776 718794 726624 729147 731187 732888 739152 743444 745524 749088 756262 772038 785349 787176 793904 800748 804576 811512 817452 818448 824499 831546 842724 843523 859248 866592 871624 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39914208 40052799 40145976 40489104 40838148 41690052 42408846 42507504 42870816 43019673 43240392 43821648 43863196 44196192 45164223 45550242 46443384 47067696 47469984 47820942 47879208 48229668 48645441 48877992 49720716 49836384 50554192 50695632 51425816 52248807 52498584 52951158 53403732 53527968 53677728 53864109 54450864 55586736 56065932 56545128 56873466 57032586 57359564 57653856 57854043 58856544 59060907 59871312 60218964 60733656 61257222 61924512 62535078 63613269 63761256 63838944 64306224 64860588 65170656 65732472 65794794 66294288 68325363 69665076 69998112 70193952 70601544 71204976 71818812 72344502 73316988 74581074 74754576 75393504 75831288 76043448 77138724 78747876 79426737 80105598 80291952 80978208 81676296 83380104 84817692 85015008 85310199 86039346 86480784 87643296 87726392 90328446 91100484 91885833 92886768 94135392 95641884 95758416 96459336 97290882 97755984 98692191 99441432 101108384 101391264 102851632 104497614 104997168 105902316 106807464 107728218 108516753 108901728 111173472 112131864 113090256 113746932 114065172 114719128 115708086 118121814 119742624 120158397 120437928 121467312 122514444 125070156 127226538 127522512 128612448 129059019 129721176 131464944 131589588 132588576 135492669 136650726 139330152 141203088 142409952 143637624 144689004 146633976 149162148 149509152 151662576 152086896 154277448 156746421 157495752 158853474 160211196 160583904 161592327 163352592 166760208 169635384 170620398 172078692 172961568 173562129 175452784 177182721 180656892 182200968 183771666 185773536 186418583 191283768 191516832 192918672 194581764 195511968 197384382 198882864 204976089 205703264 208995228 209994336 211804632 213614928 215456436 217033506 224263728 226180512 227493864 228130344 229438256 231416172 236243628 238280211 240316794 240875856 242934624 245028888 250140312 254453076 255045024 255930597 258118038 259442352 262929888 263179176 270985338 273301452 275657499 278660304 282406176 287275248 289378008 293267952 296076573 298324296 303325152 304173792 308554896 313492842 314991504 317706948 320422392 323184654 326705184 333520416 339270768 341240796 344157384 347124258 350905568 354365442 360475191 361313784 364401936 367543332 372837166 382567536 385837344 387177057 389163528 394768764 397765728 406478007 409952178 417990456 423609264 427229856 430912872 434067012 448527456 454987728 456260688 458876512 462832344 470239263 472487256 476560422 480633588 481751712 484776981 490057776 500280624 508906152 511861194 516236076 518884704 520686387 526358352 531548163 541970676 546602904 551314998 557320608 559255749 574550496 578756016 586535904 592153146 596648592 614928267 617109792 626985684 629983008 635413896 640844784 646369308 678541536 682481592 688314768 694248516 708730884 720950382 722627568 728803872 735086664 745674332 765135072 767791791 774354114 778327056 789537528 812956014 819904356 826972497 835980912 847218528 861825744 868134024 888229719 909975456 912521376 925664688 940478526 944974512 953120844 961267176 969553962 980115552 1000561248 1017812304 1023722388 1032472152 1041372774 1052716704 1063096326 1081425573 1083941352 1093205808 1102629996 1118511498 1157512032 1161531171 1184306292 1193297184 1229856534 1253971368 1270827792 1281689568 1292738616 1364963184 1376629536 1388497032 1410717789 1417461768 1441900764 1445255136 1470173328 1491348664 1535583582 1548708228 1556654112 1562059161 1579075056 1625912028 1639808712 1653944994 1671961824 1677767247 1723651488 1736268048 1776459438 1844784801 1851329376 1880957052 1889949024 1906241688 1922534352 1939107924 2035624608 2047444776 2064944304 2082745548 2126192652 2162851146 2167882704 2186411616 2205259992 2237022996 2303375373 2323062342 2368612584 2459713068 2507942736 2541655584 2585477232 2664689157 2729926368 2776994064 2821435578 2834923536 2883801528 2940346656 2982697328 3071167164 3097416456 3124118322 3158150112 3251824056 3279617424 3307889988 3355534494 3472536096 3484593513 3552918876 3689569602 3761914104 3812483376 3845068704 3878215848 4094889552 4129888608 4165491096 4252385304 4325702292 4335765408 4410519984 4474045992 4606750746 4646124684 4686177483 4737225168 4919426136 5015885472 5033301741 5170954464 5329378314 5553988128 5642871156 5669847072 5767603056 5965394656 6142334328 6194832912 6248236644 6503648112 6559234848 6615779976 6711068988 6910126119 6969187026 7105837752 7379139204 7523828208 7624966752 7756431696 7994067471 8189779104 8330982192 8504770608 8651404584 8821039968 8948091984 9213501492 9292249368 9372354966 9474450336 9838852272 10066603482 10453780539 10658756628 11285742312 11535206112 12284668656 12389665824 12496473288 13007296224 13231559952 13422137976 13820252238 13938374052 14058532449 14211675504 14758278408 15047656416 15099905223 15512863392 15988134942 16661964384 17009541216 17302809168 17896183968 18427002984 18584498736 18744709932 19677704544 20133206964 20907561078 21317513256 22571484624 23982202413 24569337312 24992946576 26463119904 26844275952 27640504476 27876748104 28117064898 28423351008 29516556816 30199810446 31361341617 31976269884 34605618336 36854005968 37168997472 37489419864 40266413928 41815122156 42635026512 45142969248 45299715669 47964404826 49985893152 53688551904 55281008952 55753496208 56234129796 59033113632 60399620892 62722683234 63952539768 73708011936 74978839728 80532827856 83630244312 85270053024 90599431338 95928809652 110562017904 111506992416 112468259592 120799241784 125445366468 127905079536 135899147007 149957679456 161065655712 167260488624 181198862676 191857619304 221124035808 224936519184 241598483568 250890732936 255810159072 271798294014 334520977248 362397725352 383715238608 407697441021 449873038368 483196967136 501781465872 543596588028 724795450704 767430477216 815394882042 1003562931744 1087193176056 1449590901408 1630789764084 2174386352112 3261579528168 4348772704224 6523159056336 13046318112672
- Sum of all divisors σ(n): 46414129507200
- Sum of proper divisors (its aliquot sum) s(n): 33367811394528
- 13046318112672 is an abundant number, because the sum of its proper divisors (33367811394528) is greater than itself. Its abundance is 20321493281856
Bases of 13046318112672
- Binary: 101111011101100101010010100000011111101000002
- Hexadecimal: 0xBDD95281FA0
- Base-36: 4MHE8YI00
Squares and roots of 13046318112672
- 13046318112672 squared (130463181126722) is 170206416297033496086979584
- 13046318112672 cubed (130463181126723) is 2220567051828978783621849383483875688448
-
The
square root of 13046318112672 is 3611968.7308546845 -
The
cube root of 13046318112672 is 23541.2392605019
Scales and comparisons
How big is 13046318112672?- 13,046,318,112,672 seconds is equal to 414,832 years, 29 weeks, 1 day, 5 hours, 31 minutes, 12 seconds.
-
To count from 1 to 13,046,318,112,672 would take you about one million, thirty-seven thousand and eighty-one 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 13046318112672 cubic inches would be around 1961.8 feet tall.
Recreational maths with 13046318112672
- 13046318112672 backwards is 27621181364031
- The number of decimal digits it has is: 14
- The sum of 13046318112672's digits is 45
- More coming soon!
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"Number 13046318112672 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
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Numbermatics. (2024). Number 13046318112672 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/13046318112672/
Chicago style:
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The information we have on file for 13046318112672 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!
Keywords: Divisors of 13046318112672, math, Factors of 13046318112672, curriculum, school, college, exams, university, Prime factorization of 13046318112672, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, forty-six billion, three hundred eighteen million, one hundred twelve thousand, six hundred seventy-two.