13248397953664614400
13,248,397,953,664,614,400 is an even composite number composed of five prime numbers multiplied together.
13248397953664614400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred ninety-five divisors.
Prime factorization of 13248397953664614400:
216 × 52 × 114 × 712 × 3312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 11 × 11 × 11 × 71 × 71 × 331 × 331)See below for interesting mathematical facts about the number 13248397953664614400 from the Numbermatics database.
Names of 13248397953664614400
- Cardinal: 13248397953664614400 can be written as Thirteen quintillion, two hundred forty-eight quadrillion, three hundred ninety-seven trillion, nine hundred fifty-three billion, six hundred sixty-four million, six hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.32483979536646144 × 1019
Factors of 13248397953664614400
Divisors of 13248397953664614400
- Number of divisors d(n): 2295
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 71 80 88 100 110 121 128 142 160 176 200 220 242 256 275 284 320 331 352 355 400 440 484 512 550 568 605 640 662 704 710 781 800 880 968 1024 1100 1136 1210 1280 1324 1331 1408 1420 1562 1600 1655 1760 1775 1936 2048 2200 2272 2420 2560 2648 2662 2816 2840 3025 3124 3200 3310 3520 3550 3641 3872 3905 4096 4400 4544 4840 5041 5120 5296 5324 5632 5680 6050 6248 6400 6620 6655 7040 7100 7282 7744 7810 8192 8275 8591 8800 9088 9680 10082 10240 10592 10648 11264 11360 12100 12496 12800 13240 13310 14080 14200 14564 14641 15488 15620 16384 16550 17182 17600 18176 18205 19360 19525 20164 20480 21184 21296 22528 22720 23501 24200 24992 25205 25600 26480 26620 28160 28400 29128 29282 30976 31240 32768 33100 33275 34364 35200 36352 36410 38720 39050 40051 40328 40960 42368 42592 42955 45056 45440 47002 48400 49984 50410 51200 52960 53240 55451 56320 56800 58256 58564 61952 62480 65536 66200 66550 68728 70400 72704 72820 73205 77440 78100 80102 80656 81920 84736 85184 85910 90112 90880 91025 94004 94501 96800 99968 100820 102400 105920 106480 109561 110902 112640 113600 116512 117128 117505 123904 124960 126025 132400 133100 137456 140800 145408 145640 146410 154880 156200 160204 161312 163840 169472 170368 171820 180224 181760 182050 188008 189002 193600 199936 200255 201640 204800 211840 212960 214775 219122 221804 225280 227200 233024 234256 235010 247808 249920 252050 258511 264800 266200 274912 277255 281600 290816 291280 292820 309760 312400 320408 322624 327680 338944 340736 343640 360448 363520 364100 366025 376016 378004 387200 399872 400510 403280 409600 423680 425920 429550 438244 440561 443608 450560 454400 466048 468512 470020 472505 495616 499840 504100 517022 529600 532400 547805 549824 554510 563200 581632 582560 585640 587525 609961 619520 624800 640816 645248 677888 681472 687280 720896 727040 728200 732050 752032 756008 774400 799744 801020 806560 819200 847360 851840 859100 876488 881122 887216 901120 908800 932096 937024 940040 945010 991232 999680 1001275 1008200 1034044 1039511 1059200 1064800 1095610 1099648 1109020 1126400 1163264 1165120 1171280 1175050 1205171 1219922 1239040 1249600 1281632 1290496 1292555 1355776 1362944 1374560 1386275 1454080 1456400 1464100 1504064 1512016 1548800 1599488 1602040 1613120 1638400 1668571 1694720 1703680 1718200 1752976 1762244 1774432 1802240 1817600 1864192 1874048 1880080 1890020 1982464 1999360 2002550 2016400 2068088 2079022 2118400 2129600 2191220 2199296 2202805 2218040 2252800 2326528 2330240 2342560 2350100 2362525 2410342 2439844 2478080 2499200 2563264 2580992 2585110 2711552 2725888 2739025 2749120 2772550 2843621 2908160 2912800 2928200 3008128 3024032 3049805 3097600 3198976 3204080 3226240 3337142 3389440 3407360 3436400 3505952 3524488 3548864 3604480 3635200 3728384 3748096 3760160 3780040 3964928 3998720 4005100 4032800 4136176 4158044 4236800 4259200 4382440 4398592 4405610 4436080 4505600 4653056 4660480 4685120 4700200 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45555945868400 47046867733184 47784162426880 48191413811200 49768587354112 50031714326528 51248875110400 52562578669568 53010555192320 53462349696800 56373762621440 56555212902400 56854220825600 58311610711552 58808584666480 59730203033600 60461286195200 61685009678336 62210734192640 62539642908160 64689443133128 65703223336960 66157638778880 66263193990400 68431807611904 70096601907200 70467203276800 72773402656768 72889513389440 73510730833100 77106262097920 77763417740800 78174553635200 80861803916410 82129029171200 82697048473600 84816888307712 85539759514880 90488340643840 90966753320960 91111891736800 94093735466368 96382827622400 99537174708224 100063428653056 105125157339136 106021110384640 106924699393600 112747525242880 113110425804800 113708441651200 116623221423104 117617169332960 119460406067200 120922572390400 124421468385280 125079285816320 129378886266256 131406446673920 132526387980800 136863615223808 140193203814400 140934406553600 145546805313536 145779026778880 147021461666200 154212524195840 155526835481600 156349107270400 161723607832820 164258058342400 165394096947200 169633776615424 171079519029760 180976681287680 181933506641920 182223783473600 188187470932736 192765655244800 199074349416448 200126857306112 202154509791025 212042220769280 213849398787200 226220851609600 227416883302400 233246442846208 235234338665920 238920812134400 248842936770560 250158571632640 258757772532512 262812893347840 265052775961600 273727230447616 281868813107200 291558053557760 294042923332400 308425048391680 311053670963200 312698214540800 323447215665640 328516116684800 330788193894400 339267553230848 342159038059520 363867013283840 364447566947200 376374941865472 385531310489600 398148698832896 400253714612224 404309019582050 424084441538560 427698797574400 452441703219200 454833766604800 466492885692416 470468677331840 497685873541120 500317143265280 517515545065024 525625786695680 530105551923200 547454460895232 563737626214400 583116107115520 588085846664800 622107341926400 625396429081600 646894431331280 657032233369600 678535106461696 684318076119040 727734026567680 728895133894400 752749883730944 771062620979200 800507429224448 808618039164100 848168883077120 855397595148800 904883406438400 909667533209600 932985771384832 940937354663680 995371747082240 1000634286530560 1035031090130048 1060211103846400 1094908921790464 1166232214231040 1176171693329600 1244214683852800 1250792858163200 1293788862662560 1314064466739200 1368636152238080 1457790267788800 1505499767461888 1542125241958400 1601014858448896 1617236078328200 1696337766154240 1710795190297600 1819335066419200 1865971542769664 1881874709327360 1990743494164480 2001268573061120 2070062180260096 2120422207692800 2189817843580928 2332464428462080 2352343386659200 2488429367705600 2501585716326400 2587577725325120 2628128933478400 2737272304476160 2915580535577600 3010999534923776 3234472156656400 3392675532308480 3421590380595200 3638670132838400 3731943085539328 3763749418654720 4002537146122240 4140124360520192 4240844415385600 4379635687161856 4664928856924160 4704686773318400 4976858735411200 5003171432652800 5175155450650240 5474544608952320 5831161071155200 6021999069847552 6468944313312800 6843180761190400 7463886171078656 7527498837309440 8005074292244480 8280248721040384 8481688830771200 9329857713848320 9409373546636800 9953717470822400 10006342865305600 10350310901300480 10949089217904640 11662322142310400 12043998139695104 12937888626625600 13686361522380800 15054997674618880 16560497442080768 16963377661542400 18659715427696640 18818747093273600 20012685730611200 20700621802600960 21898178435809280 23324644284620800 24087996279390208 25875777253251200 27372723044761600 30109995349237760 33120994884161536 37319430855393280 37637494186547200 40025371461222400 41401243605201920 46649288569241600 48175992558780416 51751554506502400 54745446089523200 60219990698475520 66241989768323072 75274988373094400 82802487210403840 93298577138483200 103503109013004800 109490892179046400 120439981396951040 132483979536646144 150549976746188800 165604974420807680 186597154276966400 207006218026009600 240879962793902080 264967959073292288 301099953492377600 331209948841615360 414012436052019200 529935918146584576 602199906984755200 662419897683230720 828024872104038400 1204399813969510400 1324839795366461440 1656049744208076800 2649679590732922880 3312099488416153600 6624198976832307200 13248397953664614400
- Sum of all divisors σ(n): 36768410699469173445
- Sum of proper divisors (its aliquot sum) s(n): 23520012745804559045
- 13248397953664614400 is an abundant number, because the sum of its proper divisors (23520012745804559045) is greater than itself. Its abundance is 10271614792139944645
Bases of 13248397953664614400
- Binary: 10110111110110111100001110111110111011110011000100000000000000002
- Hexadecimal: 0xB7DBC3BEEF310000
- Base-36: 2SNL14EJLGHZ4
Squares and roots of 13248397953664614400
- 13248397953664614400 squared (132483979536646144002) is 175520048338664742322430358700687360000
- 13248397953664614400 cubed (132483979536646144003) is 2325359449237080174552331494715018819306616189353984000000
-
13248397953664614400 is a
perfect square number . Itssquare root is 3639834880 -
The
cube root of 13248397953664614400 is 2366216.3721513157
Scales and comparisons
How big is 13248397953664614400?- 13,248,397,953,664,614,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,248,397,953,664,614,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13248397953664614400 cubic inches would be around 197184.7 feet tall.
Recreational maths with 13248397953664614400
- 13248397953664614400 backwards is 00441646635979384231
- The number of decimal digits it has is: 20
- The sum of 13248397953664614400's digits is 85
- More coming soon!
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"Number 13248397953664614400 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 13248397953664614400 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/13248397953664614400/
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Numbermatics. 2024. "Number 13248397953664614400 - Facts about the integer". https://numbermatics.com/n/13248397953664614400/
The information we have on file for 13248397953664614400 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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