13104501984460800
13,104,501,984,460,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 13104501984460800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2592 divisors.
13104501984460800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 13104501984460800:
217 × 37 × 52 × 792 × 293
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 79 × 79 × 293)See below for interesting mathematical facts about the number 13104501984460800 from the Numbermatics database.
Names of 13104501984460800
- Cardinal: 13104501984460800 can be written as Thirteen quadrillion, one hundred four trillion, five hundred one billion, nine hundred eighty-four million, four hundred sixty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.31045019844608 × 1016
Factors of 13104501984460800
Divisors of 13104501984460800
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 79 80 81 90 96 100 108 120 128 135 144 150 158 160 162 180 192 200 216 225 237 240 243 256 270 288 293 300 316 320 324 360 384 395 400 405 432 450 474 480 486 512 540 576 586 600 632 640 648 675 711 720 729 768 790 800 810 864 879 900 948 960 972 1024 1080 1152 1172 1185 1200 1215 1264 1280 1296 1350 1422 1440 1458 1465 1536 1580 1600 1620 1728 1758 1800 1896 1920 1944 1975 2025 2048 2133 2160 2187 2304 2344 2370 2400 2430 2528 2560 2592 2637 2700 2844 2880 2916 2930 3072 3160 3200 3240 3456 3516 3555 3600 3645 3792 3840 3888 3950 4050 4096 4266 4320 4374 4395 4608 4688 4740 4800 4860 5056 5120 5184 5274 5400 5688 5760 5832 5860 5925 6075 6144 6241 6320 6399 6400 6480 6912 7032 7110 7200 7290 7325 7584 7680 7776 7900 7911 8100 8192 8532 8640 8748 8790 9216 9376 9480 9600 9720 10112 10240 10368 10548 10665 10800 10935 11376 11520 11664 11720 11850 12150 12288 12482 12640 12798 12800 12960 13185 13824 14064 14220 14400 14580 14650 15168 15360 15552 15800 15822 16200 16384 17064 17280 17496 17580 17775 18225 18432 18723 18752 18960 19197 19200 19440 20224 20480 20736 21096 21330 21600 21870 21975 22752 23040 23147 23328 23440 23700 23733 24300 24576 24964 25280 25596 25600 25920 26370 27648 28128 28440 28800 29160 29300 30336 30720 31104 31205 31600 31644 31995 32400 32768 34128 34560 34992 35160 35550 36450 36864 37446 37504 37920 38394 38400 38880 39555 40448 40960 41472 42192 42660 43200 43740 43950 45504 46080 46294 46656 46880 47400 47466 48600 49152 49928 50560 51192 51200 51840 52740 53325 54675 55296 56169 56256 56880 57591 57600 58320 58600 60672 61440 62208 62410 63200 63288 63990 64800 65536 65925 68256 69120 69441 69984 70320 71100 71199 72900 73728 74892 75008 75840 76788 76800 77760 79110 80896 81920 82944 84384 85320 86400 87480 87900 91008 92160 92588 93312 93615 93760 94800 94932 95985 97200 98304 99856 101120 102384 102400 103680 105480 106650 109350 110592 112338 112512 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198778945536 199958831550 202229968896 204789841920 207061401600 207349714944 209974394880 210656217600 213289420320 215989286400 223626313728 224699965440 227508715008 227544268800 230388572160 232944076800 233304883200 236988244800 239679963136 245747810304 248473681920 252787461120 255947304384 255987302400 259187143680 262467993600 266611775400 269639958528 276081868800 276466286592 279532892160 280874956800 283071283200 284385893760 287985715200 298168418304 299599953920 303344953344 307184762880 310592102400 315984326400 319934130480 323983929600 331298242560 337049948160 341263072512 341316403200 345582858240 349416115200 349957324800 355482367200 359519944704 368621715456 372710522880 374499942400 379181191680 383980953600 399917663100 404459937792 409579683840 414122803200 414699429888 419948789760 421312435200 426578840640 431978572800 447252627456 449399930880 455017430016 460777144320 465888153600 473976489600 496947363840 505574922240 511894608768 511974604800 518374287360 524935987200 533223550800 539279917056 552163737600 552932573184 559065784320 561749913600 566142566400 568771787520 575971430400 596336836608 599199907840 606689906688 614369525760 621184204800 631968652800 639868260960 647967859200 674099896320 682526145024 682632806400 691165716480 698832230400 699914649600 710964734400 719039889408 737243430912 745421045760 748999884800 758362383360 767961907200 799835326200 808919875584 828245606400 829398859776 842624870400 853157681280 863957145600 894505254912 898799861760 910034860032 921554288640 931776307200 947952979200 993894727680 1011149844480 1023789217536 1023949209600 1036748574720 1049871974400 1066447101600 1078559834112 1105865146368 1118131568640 1123499827200 1137543575040 1151942860800 1198399815680 1213379813376 1228739051520 1242368409600 1263937305600 1279736521920 1295935718400 1348199792640 1365052290048 1382331432960 1397664460800 1421929468800 1490842091520 1497999769600 1516724766720 1535923814400 1599670652400 1617839751168 1656491212800 1658797719552 1685249740800 1706315362560 1727914291200 1789010509824 1797599723520 1820069720064 1843108577280 1863552614400 1895905958400 2022299688960 2047578435072 2047898419200 2073497149440 2099743948800 2132894203200 2157119668224 2211730292736 2236263137280 2246999654400 2275087150080 2303885721600 2426759626752 2484736819200 2527874611200 2559473043840 2591871436800 2696399585280 2730104580096 2764662865920 2795328921600 2843858937600 2981684183040 2995999539200 3033449533440 3071847628800 3199341304800 3235679502336 3317595439104 3370499481600 3412630725120 3455828582400 3595199447040 3640139440128 3686217154560 3727105228800 3791811916800 4044599377920 4095156870144 4146994298880 4265788406400 4472526274560 4493999308800 4550174300160 4607771443200 4853519253504 4969473638400 5055749222400 5118946087680 5183742873600 5392799170560 5460209160192 5529325731840 5590657843200 5687717875200 5991999078400 6066899066880 6143695257600 6398682609600 6471359004672 6635190878208 6740998963200 6825261450240 6911657164800 7280278880256 7454210457600 7583623833600 8089198755840 8190313740288 8293988597760 8531576812800 8945052549120 8987998617600 9100348600320 9215542886400 9707038507008 10111498444800 10237892175360 10367485747200 10785598341120 10920418320384 11058651463680 11181315686400 11375435750400 12133798133760 12797365219200 13481997926400 13650522900480 13823314329600 14560557760512 14908420915200 15167247667200 16178397511680 16380627480576 16587977195520 17063153625600 17975997235200 18200697200640 18431085772800 19414077014016 20222996889600 20475784350720 20734971494400 21840836640768 22362631372800 22750871500800 24267596267520 25594730438400 26963995852800 27301045800960 27646628659200 29121115521024 30334495334400 32356795023360 32761254961152 33175954391040 34126307251200 36401394401280 40445993779200 40951568701440 41469942988800 43681673281536 44725262745600 45501743001600 48535192535040 51189460876800 53927991705600 54602091601920 55293257318400 58242231042048 60668990668800 65522509922304 68252614502400 72802788802560 80891987558400 81903137402880 82939885977600 87363346563072 91003486003200 97070385070080 102378921753600 109204183203840 121337981337600 131045019844608 136505229004800 145605577605120 161783975116800 163806274805760 165879771955200 174726693126144 182006972006400 204757843507200 218408366407680 242675962675200 262090039689216 273010458009600 291211155210240 327612549611520 364013944012800 409515687014400 436816732815360 485351925350400 524180079378432 546020916019200 655225099223040 728027888025600 819031374028800 873633465630720 1092041832038400 1310450198446080 1456055776051200 1638062748057600 2184083664076800 2620900396892160 3276125496115200 4368167328153600 6552250992230400 13104501984460800
- Sum of all divisors σ(n): 49534401903809760
- Sum of proper divisors (its aliquot sum) s(n): 36429899919348960
- 13104501984460800 is an abundant number, because the sum of its proper divisors (36429899919348960) is greater than itself. Its abundance is 23325397934888160
Bases of 13104501984460800
- Binary: 1011101000111001111001101000011011111000000000000000002
- Hexadecimal: 0x2E8E79A1BE0000
- Base-36: 3L15P3PC000
Squares and roots of 13104501984460800
- 13104501984460800 squared (131045019844608002) is 171727972260737045284666736640000
- 13104501984460800 cubed (131045019844608003) is 2250409553278257824852960725544859926003712000000
-
The
square root of 13104501984460800 is 114474896.7436127455 -
The
cube root of 13104501984460800 is 235761.8371104083
Scales and comparisons
How big is 13104501984460800?- 13,104,501,984,460,800 seconds is equal to 416,682,628 years, 11 weeks, 3 days.
-
To count from 1 to 13,104,501,984,460,800 would take you about one billion, two hundred fifty million, forty-seven thousand, eight hundred eighty-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 13104501984460800 cubic inches would be around 19646.8 feet tall.
Recreational maths with 13104501984460800
- 13104501984460800 backwards is 00806448910540131
- 13104501984460800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13104501984460800's digits is 54
- More coming soon!
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"Number 13104501984460800 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
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Numbermatics. (2024). Number 13104501984460800 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/13104501984460800/
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The information we have on file for 13104501984460800 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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