13125164478351744
13,125,164,478,351,744 is an even composite number composed of six prime numbers multiplied together.
13125164478351744 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 13125164478351744:
27 × 3 × 7 × 132 × 235 × 672
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 23 × 23 × 23 × 23 × 23 × 67 × 67)See below for interesting mathematical facts about the number 13125164478351744 from the Numbermatics database.
Names of 13125164478351744
- Cardinal: 13125164478351744 can be written as Thirteen quadrillion, one hundred twenty-five trillion, one hundred sixty-four billion, four hundred seventy-eight million, three hundred fifty-one thousand, seven hundred forty-four.
Scientific notation
- Scientific notation: 1.3125164478351744 × 1016
Factors of 13125164478351744
Divisors of 13125164478351744
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 32 39 42 46 48 52 56 64 67 69 78 84 91 92 96 104 112 128 134 138 156 161 168 169 182 184 192 201 208 224 268 273 276 299 312 322 336 338 364 368 384 402 416 448 469 483 507 529 536 546 552 598 624 644 672 676 728 736 804 832 871 896 897 938 966 1014 1058 1072 1092 1104 1183 1196 1248 1288 1344 1352 1407 1456 1472 1541 1587 1608 1664 1742 1794 1876 1932 2028 2093 2116 2144 2184 2208 2366 2392 2496 2576 2613 2688 2704 2814 2912 2944 3082 3174 3216 3484 3549 3588 3703 3752 3864 3887 4056 4186 4232 4288 4368 4416 4489 4623 4732 4784 4992 5152 5226 5408 5628 5824 6097 6164 6279 6348 6432 6877 6968 7098 7176 7406 7504 7728 7774 8112 8372 8464 8576 8736 8832 8978 9246 9464 9568 10304 10452 10787 10816 11109 11256 11323 11648 11661 12167 12194 12328 12558 12696 12864 13467 13754 13936 14196 14352 14812 15008 15456 15548 16224 16744 16928 17472 17956 18291 18492 18928 19136 20033 20608 20631 20904 21574 21632 22218 22512 22646 23322 24334 24388 24656 25116 25392 25728 26934 27209 27508 27872 28392 28704 29624 30016 30912 31096 31423 32361 32448 33488 33856 33969 34944 35443 35912 36501 36582 36984 37856 38272 40066 41262 41808 43148 44436 45024 45292 46644 48139 48668 48776 49312 50232 50784 53868 54418 55016 55744 56784 57408 58357 59248 60032 60099 61824 62192 62846 64722 64896 66976 67712 67938 70886 71824 73002 73164 73968 75712 79261 80132 81627 82524 83616 85169 86296 88872 89401 90048 90584 93288 94269 96278 97336 97552 98624 100464 101568 103247 106329 107736 108836 110032 111488 113568 114816 116714 118496 120198 124384 125692 129444 133952 135876 140231 141772 143648 144417 146004 146328 147936 151424 158171 158522 160264 163254 165048 167232 170338 172592 175071 177744 178802 180096 181168 186576 188538 192556 194672 195104 197248 200928 203136 206494 212658 215472 217672 220064 227136 233428 236992 237783 240396 248101 248768 251384 255507 258888 260429 267904 268203 271752 279841 280462 283544 287296 288834 292008 292656 295872 309741 316342 317044 320528 326508 330096 334464 340676 345184 350142 355488 357604 362336 373152 377076 385112 389344 390208 401856 408499 412988 420693 425316 430944 435344 440128 454272 460759 466856 473984 474513 475566 480792 496202 497536 502768 511014 517776 520858 536406 543504 559682 560924 567088 574592 577668 584016 585312 591744 619482 625807 632684 634088 641056 653016 660192 681352 690368 700284 710976 715208 722729 724672 744303 746304 754152 758641 770224 778688 780416 781287 803712 815189 816998 825976 839523 841386 850632 861888 870688 880256 921518 933712 949026 951132 961584 992404 1005536 1022028 1035552 1041716 1072812 1087008 1107197 1119364 1121848 1134176 1155336 1168032 1170624 1225497 1238964 1251614 1265368 1268176 1282112 1306032 1320384 1342211 1362704 1380736 1382277 1400568 1421952 1430416 1445458 1449344 1488606 1492608 1508304 1517282 1540448 1557376 1562574 1630378 1633996 1651952 1679046 1682772 1701264 1723776 1741376 1823003 1843036 1867424 1877421 1898052 1902264 1923168 1958887 1984808 2011072 2044056 2056223 2071104 2083432 2145624 2168187 2174016 2214394 2238728 2243696 2268352 2275923 2310672 2336064 2341248 2374681 2445567 2450994 2477928 2503228 2530736 2536352 2564224 2612064 2640768 2684422 2725408 2764554 2801136 2860832 2890916 2977212 3016608 3034564 3080896 3125148 3225313 3260756 3267992 3303904 3321591 3358092 3365544 3402528 3482752 3637933 3646006 3686072 3734848 3754842 3796104 3804528 3846336 3917774 3969616 4022144 4026633 4088112 4112446 4142208 4166864 4291248 4336374 4348032 4428788 4477456 4487392 4536704 4551846 4621344 4672128 4749362 4891134 4901988 4955856 5006456 5061472 5072704 5224128 5310487 5368844 5450816 5469009 5529108 5602272 5706323 5721664 5781832 5876661 5954424 5989867 6033216 6069128 6161792 6168669 6250296 6436343 6450626 6521512 6535984 6607808 6643182 6716184 6731088 6805056 7124043 7275866 7292012 7372144 7469696 7509684 7592208 7609056 7692672 7835548 7939232 8053266 8176224 8224892 8333728 8582496 8672748 8857576 8954912 8974784 9103692 9242688 9395477 9498724 9675939 9782268 9803976 9911712 10012912 10122944 10145408 10448256 10597457 10620974 10737688 10901632 10913799 10938018 11058216 11204544 11412646 11443328 11563664 11753322 11908848 11979734 12066432 12138256 12337338 12500592 12872686 12901252 13043024 13071968 13215616 13286364 13432368 13462176 13610112 14248086 14393561 14551732 14584024 14744288 15019368 15184416 15218112 15671096 15878464 15931461 16106532 16352448 16449784 16622767 16667456 17118969 17164992 17345496 17448743 17715152 17909824 17949568 17969601 18207384 18485376 18749347 18790954 18997448 19309029 19351878 19564536 19607952 19823424 20025824 20245888 21194914 21241948 21475376 21827598 21876036 22116432 22409088 22825292 23127328 23506644 23817696 23959468 24276512 24674676 25001184 25465531 25745372 25802504 26086048 26143936 26572728 26864736 26924352 28186431 28496172 28787122 29103464 29168048 29488576 30038736 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25199122368 25349117144 25684549696 26105807208 26380331229 26451252672 27299049232 27599038784 27660284288 27691155141 28113946224 28485964416 28892743727 29821243998 30148949976 30456775076 30859794784 31198913408 31780982688 32130224256 32661362474 33636328518 33710971476 34081421712 34807742944 35173774972 36223738404 36703069536 36921540188 37485261632 38023675716 38526824544 39242383271 39761658664 40198599968 40948573848 41398558176 41490426432 42374643584 44360955002 44848438024 44947961968 45441895616 45685162614 46289692176 46798370112 46902221184 48298317872 48937426048 48992043711 50398244736 50698234288 51369099392 52211614416 52760662458 52902505344 54598098464 55198077568 55382310282 56227892448 57785487454 59642487996 60297899952 60913550152 61719589568 63561965376 64612695329 65322724948 66541432503 67272657036 67421942952 68162843424 69615485888 70347549944 72447476808 72878711789 73406139072 73843080376 74970523264 76047351432 77053649088 78484766542 79523317328 80397199936 81897147696 82797116352 82980852864 86678231181 88721910004 89696876048 89895923936 90883791232 91370325228 92579384352 93596740224 96596635744 97984087422 101396468576 104423228832 105521324916 109196196928 110764620564 112455784896 114314768659 115570974908 117727149813 119284975992 120595799904 121827100304 123439179136 127123930752 129225390658 130645449896 133082865006 134545314072 134843885904 136325686848 139230971776 140695099888 144894953616 145757423578 146812278144 147686160752 152094702864 154107298176 156969533084 159046634656 160794399872 163794295392 165594232704 173356462362 177443820008 179393752096 179791847872 182740650456 185158768704 193193271488 193838085987 195968174844 202249206089 202792937152 208846457664 211042649832 212298856081 218392393856 218636135367 221529241128 224911569792 228629537318 231141949816 235454299626 238569951984 241191599808 243654200608 258450781316 261290899792 266165730012 269090628144 269687771808 272651373696 281390199776 289789907232 291514847156 295372321504 304189405728 313939066168 318093269312 327588590784 342944305977 346712924724 354887640016 358787504192 359583695744 365481300912 370317537408 375605668451 386386542976 387676171974 391936349688 404498412178 405585874304 417692915328 422085299664 424597712162 437272270734 443058482256 457259074636 462283899632 470908599252 477139903968 482383199616 487308401216 510150982523 516901562632 522581799584 532331460024 538181256288 539375543616 562780399552 579579814464 583029694312 590744643008 606747618267 608378811456 627878132336 636186538624 636896568243 655177181568 685888611954 693425849448 709775280032 717575008384 730962601824 751211336902 775352343948 783872699376 808996824356 844170599328 849195424324 874544541468 886116964512 914518149272 924567799264 941817198504 954279807936 974616802432 1020301965046 1033803125264 1045163599168 1064662920048 1076362512576 1078751087232 1125560799104 1126817005353 1159159628928 1166059388624 1181489286016 1213495236534 1216757622912 1255756264672 1273793136486 1371777223908 1386851698896 1419550560064 1461925203648 1486091992567 1502422673804 1530452947569 1550704687896 1567745398752 1617993648712 1688341198656 1698390848648 1749089082936 1772233929024 1829036298544 1849135598528 1883634397008 1908559615872 2040603930092 2067606250528 2090327198336 2129325840096 2152725025152 2253634010706 2332118777248 2426990473068 2511512529344 2547586272972 2629239679157 2743554447816 2773703397792 2839101120128 2923850407296 2972183985134 3004845347608 3060905895138 3101409375792 3135490797504 3235987297424 3376682397312 3396781697296 3498178165872 3544467858048 3658072597088 3698271197056 3767268794016 4081207860184 4135212501056 4258651680192 4458275977701 4507268021412 4664237554496 4853980946136 4882873689863 5023025058688 5095172545944 5258479358314 5487108895632 5547406795584 5944367970268 6009690695216 6121811790276 6202818751584 6270981595008 6471974594848 6793563394592 6996356331744 7316145194176 7534537588032 7887719037471 8162415720368 8270425002112 8517303360384 8916551955402 9014536042824 9328475108992 9707961892272 9765747379726 10190345091888 10516958716628 10974217791264 11094813591168 11888735940536 12019381390432 12243623580552 12405637503168 12943949189696 13587126789184 13992712663488 14632290388352 14648621069589 15069075176064 15775438074942 16324831440736 17833103910804 18029072085648 19415923784544 19531494759452 20380690183776 21033917433256 21948435582528 23777471881072 24038762780864 24487247161104 24811275006336 25887898379392 27174253578368 27985425326976 29297242139178 31550876149884 32649662881472 34180115829041 35666207821608 36058144171296 38831847569088 39062989518904 40761380367552 42067834866512 43896871165056 47554943762144 48077525561728 48974494322208 58594484278356 63101752299768 65299325762944 68360231658082 71332415643216 72116288342592 77663695138176 78125979037808 81522760735104 84135669733024 95109887524288 97948988644416 102540347487123 117188968556712 126203504599536 136720463316164 142664831286432 144232576685184 156251958075616 168271339466048 190219775048576 195897977288832 205080694974246 234377937113424 252407009199072 273440926632328 285329662572864 312503916151232 336542678932096 410161389948492 468755874226848 504814018398144 546881853264656 570659325145728 625007832302464 820322779896984 937511748453696 1009628036796288 1093763706529312 1640645559793968 1875023496907392 2187527413058624 3281291119587936 4375054826117248 6562582239175872 13125164478351744
- Sum of all divisors σ(n): 45789363795651840
- Sum of proper divisors (its aliquot sum) s(n): 32664199317300096
- 13125164478351744 is an abundant number, because the sum of its proper divisors (32664199317300096) is greater than itself. Its abundance is 19539034838948352
Bases of 13125164478351744
- Binary: 1011101010000101000100011111100101100111001001100000002
- Hexadecimal: 0x2EA1447E59C980
- Base-36: 3L8HDBKPF9C
Squares and roots of 13125164478351744
- 13125164478351744 squared (131251644783517442) is 172269942583786408192422987841536
- 13125164478351744 cubed (131251644783517443) is 2261071331088407822230589755131589831593541238784
-
The
square root of 13125164478351744 is 114565110.2140252121 -
The
cube root of 13125164478351744 is 235885.6843558757
Scales and comparisons
How big is 13125164478351744?- 13,125,164,478,351,744 seconds is equal to 417,339,631 years, 31 weeks, 5 days, 20 hours, 22 minutes, 24 seconds.
-
To count from 1 to 13,125,164,478,351,744 would take you about one billion, two hundred fifty-two million, eighteen thousand, eight hundred ninety-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 13125164478351744 cubic inches would be around 19657.1 feet tall.
Recreational maths with 13125164478351744
- 13125164478351744 backwards is 44715387446152131
- The number of decimal digits it has is: 17
- The sum of 13125164478351744's digits is 66
- More coming soon!
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"Number 13125164478351744 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
APA style:
Numbermatics. (2024). Number 13125164478351744 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/13125164478351744/
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Numbermatics. 2024. "Number 13125164478351744 - Facts about the integer". https://numbermatics.com/n/13125164478351744/
The information we have on file for 13125164478351744 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 13125164478351744, math, Factors of 13125164478351744, curriculum, school, college, exams, university, Prime factorization of 13125164478351744, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, one hundred twenty-five trillion, one hundred sixty-four billion, four hundred seventy-eight million, three hundred fifty-one thousand, seven hundred forty-four.