13051313448146400
13,051,313,448,146,400 is an even composite number composed of nine prime numbers multiplied together.
13051313448146400 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13051313448146400:
25 × 3 × 52 × 7 × 17 × 127 × 307 × 331 × 3541
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 17 × 127 × 307 × 331 × 3541)See below for interesting mathematical facts about the number 13051313448146400 from the Numbermatics database.
Names of 13051313448146400
- Cardinal: 13051313448146400 can be written as Thirteen quadrillion, fifty-one trillion, three hundred thirteen billion, four hundred forty-eight million, one hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.30513134481464 × 1016
Factors of 13051313448146400
Divisors of 13051313448146400
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 50 51 56 60 68 70 75 80 84 85 96 100 102 105 112 119 120 127 136 140 150 160 168 170 175 200 204 210 224 238 240 254 255 272 280 300 307 331 336 340 350 357 381 400 408 420 425 476 480 508 510 525 544 560 595 600 614 635 662 672 680 700 714 762 800 816 840 850 889 921 952 993 1016 1020 1050 1120 1190 1200 1228 1270 1275 1324 1360 1400 1428 1524 1535 1632 1655 1680 1700 1778 1785 1842 1904 1905 1986 2032 2040 2100 2149 2159 2317 2380 2400 2456 2540 2550 2648 2667 2720 2800 2856 2975 3048 3070 3175 3310 3360 3400 3541 3556 3570 3684 3808 3810 3972 4064 4080 4200 4298 4318 4445 4605 4634 4760 4912 4965 5080 5100 5219 5296 5334 5600 5627 5712 5950 6096 6140 6350 6447 6477 6620 6800 6951 7082 7112 7140 7368 7620 7675 7944 8160 8275 8400 8596 8636 8890 8925 9210 9268 9520 9525 9824 9930 10160 10200 10438 10592 10623 10668 10745 10795 11254 11424 11585 11900 12192 12280 12700 12894 12954 13240 13335 13600 13902 14164 14224 14280 14736 15113 15240 15350 15657 15888 16550 16800 16881 17192 17272 17705 17780 17850 18420 18536 19040 19050 19860 20320 20400 20876 21246 21336 21490 21590 22225 22508 23025 23170 23800 24560 24787 24825 25400 25788 25908 26095 26480 26670 27804 28135 28328 28448 28560 29472 30226 30480 30700 31314 31776 32235 32385 33100 33762 34384 34544 34755 35410 35560 35700 36533 36840 37072 38100 38989 39389 39720 40800 41752 42037 42492 42672 42980 43180 44450 45016 45339 46050 46340 47600 49120 49574 49650 50800 51576 51816 52190 52960 53115 53340 53725 53975 55608 56270 56656 57120 57925 60197 60452 60960 61400 62628 64470 64770 66200 66675 67524 68768 69088 69510 70820 71120 71400 73066 73680 74144 74361 75565 76200 77978 78285 78778 79440 83504 84074 84405 84984 85344 85960 86360 88525 88900 90032 90678 92100 92680 95200 99148 99300 101600 101617 103152 103632 104380 106230 106680 107450 107950 109599 111216 112540 113312 115850 116967 118167 120394 120904 122800 123935 125256 126111 128940 129540 130475 132400 133350 135048 139020 140675 141640 142240 142800 146132 147360 148722 151130 152400 155956 156570 157556 158880 161175 161925 167008 168148 168810 169968 171920 172720 173775 177050 177800 180064 180591 181356 182665 184200 185360 194945 196945 198296 198600 203234 206304 207264 208760 210185 212460 213360 214900 215900 219198 222432 225080 226695 231700 233934 236334 240788 241808 245600 247870 250512 252222 257880 259080 260950 264800 265575 266700 270096 272923 278040 281350 283280 285600 292264 294259 297444 300985 302260 304800 304851 311912 313140 315112 322350 323850 336296 337620 339936 343840 345440 347550 354100 355600 361182 362712 365330 368400 370720 371805 377825 389890 391425 393890 396592 397200 406468 417520 420370 421379 422025 424920 426720 429800 431800 438396 449707 450160 453390 463400 467868 472668 481576 483616 495740 501024 504444 508085 515760 518160 521900 531150 533400 540192 545846 547995 556080 562700 566560 584528 584835 588518 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368577053040 375523333280 377817086850 379575193350 386568137200 394299499944 403004892640 404880206240 410728645775 416788447600 425124216552 428192698430 431790956400 442837725575 456978762190 458777891175 460721316300 463881764640 469404166600 489363083920 492874374930 500146137120 503756115800 506100257800 513831238116 525732666592 526538647200 531405270690 548374514628 563284999920 566832288736 579852205800 587235700704 604507338960 607320309360 611703854900 614295088400 625182671400 639770267066 642289047645 657165833240 685108317488 685468143285 704106249900 708540360920 731166019504 734044625880 737154106080 755634173700 759150386700 773136274400 776863895723 788598999888 821457291550 833576895200 850248433104 856385396860 863581912800 885675451150 913957524380 917555782350 921442632600 938808333200 959655400599 978726167840 985748749860 1007512231600 1012200515600 1027662476232 1062810541380 1070481746075 1096749029256 1126569999840 1142446905475 1159704411600 1209014677920 1214640618720 1223407709800 1228590176800 1232185937325 1250365342800 1279540534132 1284578095290 1314331666480 1328513176725 1370216634976 1370936286570 1408212499800 1417080721840 1462332039008 1468089251760 1511268347400 1518300773400 1553727791446 1577197999776 1599425667665 1642914583100 1700496866208 1712770793720 1771350902300 1827915048760 1835111564700 1842885265200 1877616666400 1919310801198 1971497499720 2015024463200 2024401031200 2055324952464 2125621082760 2140963492150 2193498058512 2284893810950 2319408823200 2330591687169 2446815419600 2464371874650 2500730685600 2559081068264 2569156190580 2628663332960 2657026353450 2741872573140 2816424999600 2834161443680 2936178503520 3022536694800 3036601546800 3107455582892 3198851335330 3211445238225 3285829166200 3425541587440 3427340716425 3542701804600 3655830097520 3670223129400 3685770530400 3838621602396 3884319478615 3942994999440 4110649904928 4251242165520 4281926984300 4386996117024 4569787621900 4661183374338 4798277002995 4893630839200 4928743749300 5118162136528 5138312381160 5314052706900 5438047270061 5483745146280 5632849999200 6045073389600 6073203093600 6214911165784 6397702670660 6422890476450 6571658332400 6851083174880 6854681432850 7085403609200 7311660195040 7340446258800 7677243204792 7768638957230 7885989998880 7997128338325 8502484331040 8563853968600 9139575243800 9322366748676 9596554005990 9857487498600 10236324273056 10276624762320 10628105413800 10876094540122 10967490292560 11652958435845 12429822331568 12795405341320 12845780952900 13143316664800 13709362865700 14170807218400 14680892517600 15354486409584 15537277914460 15994256676650 16314141810183 17127707937200 18279150487600 18644733497352 19193108011980 19421597393075 19714974997200 20553249524640 21256210827600 21752189080244 21934980585120 23305916871690 23991385014975 24859644663136 25590810682640 25691561905800 27190236350305 27418725731400 30708972819168 31074555828920 31988513353300 32628283620366 34255415874400 36558300975200 37289466994704 38386216023960 38843194786150 39429949994400 42512421655200 43504378160488 46611833743380 47982770029950 51181621365280 51383123811600 54380472700610 54837451462800 58264792179225 62149111657840 63977026706600 65256567240732 74578933989408 76772432047920 77686389572300 81570709050915 87008756320976 93223667486760 95965540059900 102766247623200 108760945401220 109674902925600 116529584358450 124298223315680 127954053413200 130513134481464 135951181751525 153544864095840 155372779144600 163141418101830 174017512641952 186447334973520 191931080119800 217521890802440 233059168716900 255908106826400 261026268962928 271902363503050 310745558289200 326282836203660 372894669947040 383862160239600 407853545254575 435043781604880 466118337433800 522052537925856 543804727006100 621491116578400 652565672407320 767724320479200 815707090509150 870087563209760 932236674867600 1087609454012200 1305131344814640 1631414181018300 1864473349735200 2175218908024400 2610262689629280 3262828362036600 4350437816048800 6525656724073200 13051313448146400
- Sum of all divisors σ(n): 52152130338029568
- Sum of proper divisors (its aliquot sum) s(n): 39100816889883168
- 13051313448146400 is an abundant number, because the sum of its proper divisors (39100816889883168) is greater than itself. Its abundance is 26049503441736768
Bases of 13051313448146400
- Binary: 1011100101111000011001101101011110110111010101111000002
- Hexadecimal: 0x2E5E19B5EDD5E0
- Base-36: 3KIAYMK3KDC
Squares and roots of 13051313448146400
- 13051313448146400 squared (130513134481464002) is 170336782721767073281595832960000
- 13051313448146400 cubed (130513134481464003) is 2223118743050589950834159885140035276025344000000
-
The
square root of 13051313448146400 is 114242345.2496770131 -
The
cube root of 13051313448146400 is 235442.4346395729
Scales and comparisons
How big is 13051313448146400?- 13,051,313,448,146,400 seconds is equal to 414,991,397 years, 14 weeks, 6 days, 19 hours, 20 minutes.
-
To count from 1 to 13,051,313,448,146,400 would take you about one billion, two hundred forty-four million, nine hundred seventy-four thousand, one hundred ninety-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 13051313448146400 cubic inches would be around 19620.2 feet tall.
Recreational maths with 13051313448146400
- 13051313448146400 backwards is 00464184431315031
- 13051313448146400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13051313448146400's digits is 48
- More coming soon!
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"Number 13051313448146400 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 13051313448146400 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/13051313448146400/
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The information we have on file for 13051313448146400 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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