13435048993200
13,435,048,993,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13435048993200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1080 divisors.
13435048993200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 13435048993200:
24 × 3 × 52 × 172 × 31 × 592 × 359
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 31 × 59 × 59 × 359)See below for interesting mathematical facts about the number 13435048993200 from the Numbermatics database.
Names of 13435048993200
- Cardinal: 13435048993200 can be written as Thirteen trillion, four hundred thirty-five billion, forty-eight million, nine hundred ninety-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.34350489932 × 1013
Factors of 13435048993200
Divisors of 13435048993200
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 31 34 40 48 50 51 59 60 62 68 75 80 85 93 100 102 118 120 124 136 150 155 170 177 186 200 204 236 240 248 255 272 289 295 300 310 340 354 359 372 400 408 425 465 472 496 510 527 578 590 600 620 680 708 718 744 775 816 850 867 885 930 944 1003 1020 1054 1077 1156 1180 1200 1240 1275 1360 1416 1436 1445 1475 1488 1550 1581 1700 1734 1770 1795 1829 1860 2006 2040 2108 2154 2312 2325 2360 2480 2550 2635 2832 2872 2890 2950 3009 3100 3162 3400 3468 3481 3540 3590 3658 3720 4012 4080 4216 4308 4335 4425 4624 4650 4720 5015 5100 5270 5385 5487 5744 5780 5900 6018 6103 6200 6324 6800 6936 6962 7080 7180 7225 7316 7440 7905 8024 8432 8616 8670 8850 8959 8975 9145 9300 10030 10200 10443 10540 10770 10974 11129 11560 11800 12036 12206 12400 12648 13175 13872 13924 14160 14360 14450 14632 15045 15810 16048 17051 17232 17340 17405 17700 17918 17950 18290 18309 18600 20060 20400 20886 21080 21181 21540 21675 21948 22258 23120 23600 24072 24412 25075 25296 26350 26877 26925 27435 27848 28720 28900 29264 30090 30515 31093 31620 33387 34102 34680 34810 35400 35836 35900 36580 36618 37200 39525 40120 41772 42160 42362 43080 43350 43896 44516 44795 45725 48144 48824 50150 51153 52215 52700 53754 53850 54870 55645 55696 57800 59177 60180 61030 62186 63240 63543 66774 68204 69360 69620 70800 71672 71800 73160 73236 75225 79050 80240 83544 84724 85255 86160 86700 87025 87792 89032 89590 91450 91545 93279 97648 100300 102306 103751 104430 105400 105905 107508 107700 107911 109740 111290 115600 118354 120360 122060 124372 126480 127086 133548 134385 136408 137175 139240 143344 143600 146320 146472 150450 152575 155465 158100 166935 167088 169448 170510 173400 174050 177531 178064 179180 182900 183090 186558 189193 200600 204612 207502 208860 210800 211810 215016 215400 215822 219480 222580 223975 236708 240720 244120 248744 254172 255765 261075 267096 268770 272816 274350 278225 278480 292944 295885 300900 305150 310930 311253 316200 317715 323733 333870 338896 341020 346800 348100 355062 358360 360077 365800 366180 373116 378386 401200 409224 415004 417720 423620 426275 430032 430800 431644 438960 445160 447950 457725 466395 473416 488240 497488 508344 511530 518755 522150 528581 529525 534192 537540 539555 548700 556450 567579 591770 601800 610300 621860 622506 632400 635430 647466 656611 667740 671925 682040 696200 710124 716720 720154 731600 732360 746232 756772 777325 818448 830008 834675 835440 847240 852550 863288 887655 890320 895900 915450 932790 945965 946832 1006009 1016688 1023060 1037510 1044300 1057162 1059050 1075080 1079110 1080231 1097400 1112900 1135158 1183540 1203600 1220600 1243720 1245012 1249679 1270860 1278825 1294932 1313222 1335480 1343850 1364080 1392400 1420248 1440308 1464720 1479425 1492464 1513544 1554650 1556265 1585743 1588575 1618665 1660016 1669350 1694480 1705100 1726576 1775310 1791800 1800385 1830900 1834487 1865580 1891930 1969833 2012018 2046120 2075020 2088600 2114324 2118100 2150160 2158220 2160462 2194800 2225800 2270316 2331975 2367080 2441200 2487440 2490024 2499358 2541720 2557650 2589864 2593775 2626444 2642905 2670960 2687700 2697775 2837895 2840496 2880616 2958850 3018027 3027088 3109300 3112530 3171486 3177150 3216281 3237330 3283055 3338700 3410200 3550620 3583600 3600770 3661800 3668974 3731160 3749037 3783860 3939666 4024036 4092240 4150040 4177200 4228648 4236200 4316440 4320924 4438275 4451600 4540632 4663950 4729825 4734160 4980048 4998716 5030045 5083440 5115300 5179728 5187550 5252888 5285810 5375400 5395550 5401155 5503461 5675790 5761232 5917700 6036054 6121309 6218600 6225060 6248395 6342972 6354300 6432562 6474660 6566110 6677400 6820400 7101240 7201540 7323600 7337948 7462320 7498074 7567720 7781325 7879332 7928715 8048072 8093325 8300080 8457296 8472400 8632880 8641848 8876550 9001925 9081264 9172435 9327900 9459650 9648843 9849165 9997432 10060090 10230600 10375100 10505776 10571620 10750800 10791100 10802310 11006922 11162387 11351580 11835400 12072108 12242618 12437200 12450120 12496790 12685944 12708600 12865124 12949320 13132220 13214525 13354800 14189475 14202480 14403080 14675896 14996148 15090135 15135440 15562650 15758664 15857430 16081405 16096144 16186650 16415275 17283696 17753100 18003850 18344870 18363927 18655800 18745185 18919300 19297686 19698330 19994864 20120180 20461200 20750200 21143240 21244543 21582200 21604620 22013844 22324774 22703160 23670800 24144216 24485236 24900240 24993580 25150225 25371888 25417200 25730248 25898640 26264440 26429050 27005775 27517305 28378950 28806160 29351792 29992296 30180270 30606545 31125300 31186279 31241975 31517328 31714860 32162810 32373300 32830550 33487161 35506200 36007700 36689740 36727854 37311600 37490370 37838600 38595372 38740049 39396660 39643575 40240360 41500400 42286480 42489086 43164400 43209240 44027688 44649548 45406320 45862175 48244215 48288432 48970472 49245825 49987160 50300450 51460496 52528880 52858100 54011550 55034610 55811935 56757900 59984592 60360540 61213090 62250600 62372558 62483950 63429720 63733629 64325620 64746600 65661100 66974322 71012400 72015400 73379480 73455708 74980740 75450675 75677200 77190744 77480098 78793320 79287150 80407025 80480720 84978172 86418480 88055376 89299096 91724350 91819635 93558837 93725925 96488430 97940944 98491650 99974320 100600900 105716200 106222715 108023100 110069220 111623870 113515800 116220147 120721080 122426180 124501200 124745116 124967900 126859440 127467258 128651240 129493200 131322200 133948644 137586525 144030800 146758960 146911416 149961480 150901350 153032725 154381488 154960196 155931395 157586640 158574300 160814050 167435805 169956344 178598192 183448700 183639270 187117674 187451850 189760579 192976860 193700245 196983300 201201800 211432400 212445430 216046200 220138440 223247740 227031600 232440294 241221075 241442160 244852360 249490232 249935800 254934516 257302480 262644400 267897288 275173050 279059675 293822832 299922960 301802700 306065450 309920392 311862790 317148600 318668145 321628100 334871610 339912688 361157231 366897400 367278540 374235348 374903700 379521158 385953720 387400490 393966600 402403600 424890860 432092400 440276880 446495480 459098175 464880588 467794185 482442150 489704720 498980464 499871600 509869032 531113575 535794576 550346100 558119350 569281737 581100735 603605400 612130900 619840784 623725580 634297200 637336290 643256200 658580833 669743220 722314462 733794800 734557080 748470696 749807400 759042316 771907440 774800980 779656975 787933200 837179025 849781720 892990960 918196350 929761176 935588370 948802895 964884300 968501225 1019738064 1062227150 1083471693 1100692200 1116238700 1138563474 1162201470 1207210800 1224261800 1247451160 1274672580 1286512400 1317161666 1339486440 1444628924 1469114160 1496941392 1499614800 1518084632 1549601960 1559313950 1593340725 1674358050 1699563440 1805786155 1836392700 1859522352 1871176740 1897605790 1929768600 1937002450 1975742499 2124454300 2166943386 2201384400 2232477400 2277126948 2324402940 2338970925 2448523600 2494902320 2549345160 2634323332 2678972880 2846408685 2889257848 2905503675 3036169264 3099203920 3118627900 3186681450 3292904165 3348716100 3611572310 3672785400 3742353480 3795211580 3859537200 3874004900 3951484998 4248908600 4333886772 4464954800 4554253896 4648805880 4677941850 4744014475 5098690320 5268646664 5417358465 5692817370 5778515696 5811007350 6237255800 6373362900 6585808330 6697432200 7223144620 7345570800 7484706960 7590423160 7748009800 7902969996 8497817200 8667773544 9028930775 9108507792 9297611760 9355883700 9488028950 9878712495 10537293328 10834716930 11195874161 11385634740 11622014700 12474511600 12746725800 13171616660 13394864400 14232043425 14446289240 15180846320 15496019600 15805939992 16464520825 17335547088 18057861550 18711767400 18976057900 19757424990 21669433860 22391748322 22771269480 23244029400 25493451600 26343233320 27086792325 28464086850 28892578480 31611879984 32929041650 33587622483 36115723100 37423534800 37952115800 39514849980 43338867720 44783496644 45542538960 46488058800 49393562475 52686466640 54173584650 55979370805 56928173700 65858083300 67175244966 72231446200 75904231600 79029699960 86677735440 89566993288 98787124950 108347169300 111958741610 113856347400 131716166600 134350489932 144462892400 158059399920 167938112415 179133986576 197574249900 216694338600 223917483220 227712694800 263432333200 268700979864 279896854025 335876224830 395148499800 433388677200 447834966440 537401959728 559793708050 671752449660 790296999600 839690562075 895669932880 1119587416100 1343504899320 1679381124150 2239174832200 2687009798640 3358762248300 4478349664400 6717524496600 13435048993200
- Sum of all divisors σ(n): 48139343170560
- Sum of proper divisors (its aliquot sum) s(n): 34704294177360
- 13435048993200 is an abundant number, because the sum of its proper divisors (34704294177360) is greater than itself. Its abundance is 21269245184160
Bases of 13435048993200
- Binary: 110000111000000101110101001010100001101100002
- Hexadecimal: 0xC381752A1B0
- Base-36: 4RFZ5AD2O
Squares and roots of 13435048993200
- 13435048993200 squared (134350489932002) is 180500541449684333646240000
- 13435048993200 cubed (134350489932003) is 2425033617675636375211729596965568000000
-
The
square root of 13435048993200 is 3665385.2448548979 -
The
cube root of 13435048993200 is 23772.7679685583
Scales and comparisons
How big is 13435048993200?- 13,435,048,993,200 seconds is equal to 427,193 years, 5 hours, 40 minutes.
-
To count from 1 to 13,435,048,993,200 would take you about one million, sixty-seven thousand, nine hundred eighty-two 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 13435048993200 cubic inches would be around 1981.1 feet tall.
Recreational maths with 13435048993200
- 13435048993200 backwards is 00239984053431
- 13435048993200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13435048993200's digits is 51
- More coming soon!
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The information we have on file for 13435048993200 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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