13148217316416
13,148,217,316,416 is an even composite number composed of seven prime numbers multiplied together.
13148217316416 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 13148217316416:
26 × 3 × 7 × 132 × 37 × 97 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 37 × 97 × 127 × 127)See below for interesting mathematical facts about the number 13148217316416 from the Numbermatics database.
Names of 13148217316416
- Cardinal: 13148217316416 can be written as Thirteen trillion, one hundred forty-eight billion, two hundred seventeen million, three hundred sixteen thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.3148217316416 × 1013
Factors of 13148217316416
Divisors of 13148217316416
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 37 39 42 48 52 56 64 74 78 84 91 96 97 104 111 112 127 148 156 168 169 182 192 194 208 222 224 254 259 273 291 296 312 336 338 364 381 388 416 444 448 481 507 508 518 546 582 592 624 672 676 679 728 762 776 777 832 888 889 962 1014 1016 1036 1092 1164 1183 1184 1248 1261 1344 1352 1358 1443 1456 1524 1552 1554 1651 1776 1778 1924 2028 2032 2037 2072 2184 2328 2366 2368 2496 2522 2667 2704 2716 2886 2912 3048 3104 3108 3302 3367 3549 3552 3556 3589 3783 3848 4056 4064 4074 4144 4368 4656 4699 4732 4953 5044 5334 5408 5432 5772 5824 6096 6208 6216 6253 6604 6734 7098 7104 7112 7178 7566 7696 8112 8128 8148 8288 8736 8827 9312 9398 9464 9906 10088 10101 10668 10767 10816 10864 11544 11557 12192 12319 12432 12506 13208 13468 14097 14196 14224 14356 15132 15392 16129 16224 16296 16393 16576 17472 17654 18624 18759 18796 18928 19812 20176 20202 21336 21463 21534 21728 23088 23114 24384 24638 24864 25012 25123 26416 26481 26936 28194 28392 28448 28712 30264 30784 32258 32448 32592 32786 32893 34671 35308 36957 37518 37592 37856 39624 40352 40404 42672 42926 43068 43456 43771 46176 46228 46657 48387 49179 49276 49728 50024 50246 52832 52962 53872 56388 56784 56896 57424 60528 61087 64389 64516 65184 65572 65786 69342 70616 73914 75036 75184 75369 75712 79248 80704 80808 85344 85852 86136 86233 87542 92352 92456 93314 96774 98358 98552 98679 100048 100492 105664 105924 107744 112776 112903 113568 114751 114848 121056 122174 128778 129032 130368 131144 131313 131572 138684 139971 141232 147828 150072 150241 150368 150738 158496 160147 161616 170688 171704 172272 172466 175084 183261 184912 186628 193548 196716 197104 197358 200096 200984 209677 211848 215488 225552 225806 227136 229502 229696 242112 244348 257556 258064 258699 262288 262626 263144 277368 279942 282464 295656 300144 300482 300736 301476 316992 320294 323232 326599 338709 343408 344253 344544 344932 350168 366522 369824 373256 387096 393432 394208 394716 400192 401968 419354 423696 427609 450723 451104 451612 455803 459004 480441 488696 515112 516128 517398 524576 525252 526288 554736 559884 564928 591312 596773 600288 600964 602952 606541 629031 640588 646464 653198 677418 686816 688506 689088 689864 700336 733044 739648 746512 774192 786864 788416 789432 794131 803936 838708 847392 855218 901446 902208 903224 911606 918008 960882 977392 979797 1030224 1032256 1034796 1049152 1050504 1052576 1109472 1119768 1121029 1182624 1193546 1200576 1201928 1205904 1213082 1258062 1281176 1282827 1306396 1354836 1367409 1373632 1377012 1379728 1400672 1466088 1467739 1493024 1548384 1564513 1573728 1578864 1588262 1607872 1677416 1694784 1710436 1790319 1802892 1806448 1819623 1823212 1836016 1921764 1954784 1959594 2060448 2069592 2081911 2101008 2105152 2218944 2239536 2242058 2365248 2382393 2387092 2403856 2411808 2426164 2516124 2562352 2565654 2612792 2709672 2725801 2734818 2754024 2759456 2801344 2932176 2935478 2986048 3096768 3129026 3147456 3157728 3176524 3190621 3354832 3363087 3420872 3580638 3605784 3612896 3639246 3646424 3672032 3843528 3909568 3919188 4120896 4139184 4163822 4177411 4202016 4245787 4403217 4479072 4484116 4693539 4764786 4774184 4807712 4823616 4852328 5032248 5124704 5131308 5225584 5419344 5451602 5469636 5508048 5518912 5558917 5864352 5870956 5925439 6245733 6258052 6315456 6353048 6381242 6709664 6726174 6841744 7161276 7211568 7225792 7278492 7292848 7344064 7687056 7758049 7838376 8177403 8278368 8327644 8354822 8404032 8491574 8806434 8958144 8968232 9387078 9529572 9548368 9571863 9615424 9704656 10064496 10249408 10262616 10451168 10838688 10903204 10939272 10951591 11016096 11117834 11728704 11741912 11850878 12491466 12516104 12532233 12706096 12737361 12762484 13419328 13452348 13683488 14322552 14423136 14556984 14573377 14585696 15374112 15516098 15676752 16354806 16556736 16655288 16676751 16709644 16983148 17612868 17776317 17936464 18774156 19059144 19080607 19096736 19143726 19409312 20128992 20338669 20525232 20902336 21677376 21806408 21878544 21903182 22032192 22235668 23274147 23483824 23701756 24982932 25032208 25064466 25412192 25474722 25524968 26904696 27366976 28645104 28846272 29113968 29146754 29171392 30748224 31032196 31353504 32709612 32854773 33310576 33353502 33419288 33966296 35225736 35552634 35872928 37548312 38118288 38161214 38193472 38287452 38818624 40257984 40677338 41050464 41478073 43612816 43720131 43757088 43806364 44471336 46548294 46967648 47403512 49965864 50064416 50128932 50824384 50949444 51049936 53809392 54306343 57241821 57290208 57886981 58227936 58293508 61016007 62064392 62707008 65419224 65709546 66621152 66707004 66838576 67932592 70451472 71105268 71745856 75096624 76236576 76322428 76574904 77030707 81354676 82100928 82956146 87225632 87440262 87514176 87612728 88942672 93096588 93935296 94807024 99931728 100128832 100257864 100854637 101898888 102099872 107618784 108612686 114483642 114580416 115773962 116455872 116587016 122032014 124128784 124434219 130838448 131419092 133242304 133414008 133677152 135865184 140902944 142210536 142370683 150193248 152473152 152644856 153149808 154061414 162709352 162919029 165912292 173660943 174451264 174880524 175225456 177885344 186193176 189614048 199863456 200515728 201709274 203797776 204199744 215237568 217225372 228967284 231092121 231547924 233174032 244064028 248257568 248868438 261676896 262838184 264402697 266828016 267354304 271730368 281805888 284421072 284741366 300386496 302563911 305289712 306299616 308122828 325418704 325838058 331824584 347321886 349761048 350450912 355770688 372386352 379228096 399726912 401031456 403418548 405208867 407595552 427112049 434450744 457934568 462184242 463095848 466348064 488128056 496515136 497736876 523353792 525676368 528805394 533656032 539214949 568842144 569482732 605127822 610579424 612599232 616245656 650837408 651676116 663649168 694643772 699522096 700901824 705982459 744772704 752530753 793208091 802062912 806837096 810417734 815191104 854224098 868901488 915869136 924368484 926191696 932696128 976256112 995473752 1051352736 1057610788 1067312064 1078429898 1137684288 1138965464 1210255644 1215626601 1221158848 1232491312 1301674816 1303352232 1327298336 1389287544 1399044192 1411964918 1489545408 1505061506 1586416182 1613674192 1617644847 1620835468 1708448196 1737802976 1831738272 1848736968 1850818879 1852383392 1952512224 1990947504 2102705472 2115221576 2117947377 2156859796 2257592259 2277930928 2420511288 2431253202 2464982624 2606704464 2654596672 2778575088 2798088384 2823929836 3010123012 3172832364 3227348384 3235289694 3241670936 3416896392 3475605952 3663476544 3697473936 3701637758 3704766784 3905024448 3981895008 4230443152 4235894754 4313719592 4515184518 4555861856 4841022576 4862506404 4929965248 5213408928 5267715271 5552456637 5557150176 5647859672 6020246024 6345664728 6454696768 6470579388 6483341872 6833792784 7394947872 7403275516 7963790016 8460886304 8471789508 8627439184 9030369036 9111723712 9682045152 9725012808 9782899789 10426817856 10535430542 11104913274 11114300352 11295719344 12040492048 12691329456 12941158776 12966683744 13667585568 14789895744 14806551032 15803145813 16921772608 16943579016 17254878368 18060738072 19364090304 19450025616 19565799578 21070861084 22209826548 22591438688 24080984096 25382658912 25882317552 25933367488 27335171136 29348699367 29613102064 31606291626 33887158032 34509756736 36121476144 38900051232 39131599156 42141722168 44419653096 45182877376 48161968192 50765317824 51764635104 58697398734 59226204128 63212583252 67774316064 68480298523 72242952288 77800102464 78263198312 84283444336 88839306192 103529270208 117394797468 118452408256 126425166504 135548632128 136960597046 144485904576 156526396624 168566888672 177678612384 205440895569 234789594936 252850333008 273921194092 313052793248 337133777344 355357224768 410881791138 469579189872 505700666016 547842388184 626105586496 821763582276 939158379744 1011401332032 1095684776368 1643527164552 1878316759488 2191369552736 3287054329104 4382739105472 6574108658208 13148217316416
- Sum of all divisors σ(n): 45025118764416
- Sum of proper divisors (its aliquot sum) s(n): 31876901448000
- 13148217316416 is an abundant number, because the sum of its proper divisors (31876901448000) is greater than itself. Its abundance is 18728684131584
Bases of 13148217316416
- Binary: 101111110101010011101101001010010100010000002
- Hexadecimal: 0xBF54ED29440
- Base-36: 4NS7H42TC
Squares and roots of 13148217316416
- 13148217316416 squared (131482173164162) is 172875618599701560663085056
- 13148217316416 cubed (131482173164163) is 2273006202058723989680075224515873079296
-
The
square root of 13148217316416 is 3626047.0648374105 -
The
cube root of 13148217316416 is 23602.3705583517
Scales and comparisons
How big is 13148217316416?- 13,148,217,316,416 seconds is equal to 418,072 years, 33 weeks, 2 days, 3 hours, 53 minutes, 36 seconds.
-
To count from 1 to 13,148,217,316,416 would take you about one million, forty-five thousand, one hundred 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 13148217316416 cubic inches would be around 1966.9 feet tall.
Recreational maths with 13148217316416
- 13148217316416 backwards is 61461371284131
- 13148217316416 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13148217316416's digits is 48
- More coming soon!
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The information we have on file for 13148217316416 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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