13483200512006400
13,483,200,512,006,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13483200512006400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1728 divisors.
13483200512006400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13483200512006400:
28 × 3 × 52 × 7 × 43 × 73 × 1877 × 17027
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 43 × 73 × 1877 × 17027)See below for interesting mathematical facts about the number 13483200512006400 from the Numbermatics database.
Names of 13483200512006400
- Cardinal: 13483200512006400 can be written as Thirteen quadrillion, four hundred eighty-three trillion, two hundred billion, five hundred twelve million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.34832005120064 × 1016
Factors of 13483200512006400
Divisors of 13483200512006400
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 43 48 50 56 60 64 70 73 75 80 84 86 96 100 105 112 120 128 129 140 146 150 160 168 172 175 192 200 210 215 219 224 240 256 258 280 292 300 301 320 336 344 350 365 384 400 420 430 438 448 480 511 516 525 560 584 600 602 640 645 672 688 700 730 768 800 840 860 876 896 903 960 1022 1032 1050 1075 1095 1120 1168 1200 1204 1280 1290 1344 1376 1400 1460 1505 1533 1600 1680 1720 1752 1792 1806 1825 1877 1920 2044 2064 2100 2150 2190 2240 2336 2400 2408 2555 2580 2688 2752 2800 2920 3010 3066 3139 3200 3225 3360 3440 3504 3612 3650 3754 3840 4088 4128 4200 4300 4380 4480 4515 4672 4800 4816 5110 5160 5376 5475 5504 5600 5631 5840 6020 6132 6278 6400 6450 6720 6880 7008 7224 7300 7508 7525 7665 8176 8256 8400 8600 8760 8960 9030 9344 9385 9417 9600 9632 10220 10320 10950 11008 11200 11262 11680 12040 12264 12556 12775 12900 13139 13440 13760 14016 14448 14600 15016 15050 15330 15695 16352 16512 16800 17027 17200 17520 18060 18688 18770 18834 19200 19264 20440 20640 21900 21973 22400 22524 22575 23360 24080 24528 25112 25550 25800 26278 26880 27520 28032 28155 28896 29200 30032 30100 30660 31390 32704 33024 33600 34054 34400 35040 36120 37540 37668 38325 38528 39417 40880 41280 43800 43946 44800 45048 45150 46720 46925 47085 48160 49056 50224 51081 51100 51600 52556 55040 56064 56310 57792 58400 60064 60200 61320 62780 65408 65695 65919 67200 68108 68800 70080 72240 75080 75336 76650 77056 78475 78834 80711 81760 82560 85135 87600 87892 90096 90300 93440 93850 94170 96320 98112 100448 102162 102200 103200 105112 109865 112620 115584 116800 119189 120128 120400 122640 125560 130816 131390 131838 134400 136216 137021 137600 140160 140775 144480 150160 150672 153300 156950 157668 161422 163520 165120 170270 175200 175784 180192 180600 187700 188340 192640 196224 197085 200896 204324 204400 206400 210224 219730 225240 231168 233600 235425 238378 240256 240800 242133 245280 251120 255405 262780 263676 272432 274042 275200 280320 281550 288960 300320 301344 306600 313900 315336 322844 327040 328475 329595 340540 350400 351568 357567 360384 361200 375400 376680 385280 392448 394170 401792 403555 408648 408800 411063 412800 420448 425675 439460 450480 467200 470850 476756 480512 481600 484266 490560 502240 510810 525560 527352 544864 548084 549325 563100 564977 577920 595945 600640 602688 613200 627800 630672 645688 654080 656950 659190 681080 685105 700800 703136 715134 720768 722400 732161 750800 753360 788340 803584 807110 817296 817600 822126 825600 840896 851350 878920 900960 941700 953512 959147 963200 968532 981120 985425 1004480 1021620 1051120 1054704 1089728 1096168 1098650 1126200 1129954 1155840 1191890 1201280 1205376 1210665 1226400 1242971 1255600 1261344 1277025 1291376 1313900 1318380 1362160 1370210 1401600 1406272 1430268 1441536 1444800 1464322 1501600 1506720 1576680 1614220 1634592 1635200 1644252 1647975 1681792 1694931 1702700 1757840 1787835 1801920 1883400 1907024 1918294 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448961125200 461753442192 466611313400 478891866880 480993168950 489941879070 501607161905 513098428800 522604671008 527718219648 536922607200 549706478800 559933576080 577191802740 597262481152 598614833600 601928594286 613625836800 615671256256 653255838760 659647774560 699916970100 702250026667 715896809600 718337800320 721489753425 746578101440 769589070320 783907006512 791871763200 802571459048 816569798450 824559718200 859076171520 879530366080 895893721728 897922250400 923506884384 933222626800 961986337900 979883758140 1003214323810 1026196857600 1045209342016 1055436439296 1073845214400 1099412957600 1119867152160 1154383605480 1197229667200 1203857188572 1224854697675 1231342512512 1306511677520 1319295549120 1399833940200 1404500053334 1431793619200 1436675600640 1442979506850 1493156202880 1504821485715 1539178140640 1567814013024 1605142918096 1633139596900 1649119436400 1759060732160 1791787443456 1795844500800 1847013768768 1866445253600 1923972675800 1959767516280 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12038571885720 12313425125120 12542512104192 12841143344768 13065116775200 13192955491200 14045000533340 14931562028800 15048214857150 15391781406400 15678140130240 16051429180960 16854000640008 17556250666675 18470137687680 19261715017152 19597675162800 20064286476200 20904186840320 21067500800010 22397343043200 22472000853344 23087672109600 24077143771440 25682286689536 26130233550400 26385910982400 28090001066680 30096429714300 30783562812800 31356280260480 32102858361920 33708001280016 35112501333350 36940275375360 38523430034304 39195350325600 40128572952400 42135001600020 44794686086400 44944001706688 46175344219200 48154287542880 52260467100800 52668752000025 56180002133360 60192859428600 61567125625600 62712560520960 64205716723840 67416002560032 70225002666700 77046860068608 78390700651200 80257145904800 84270003200040 89888003413376 92350688438400 96308575085760 104520934201600 105337504000050 112360004266720 120385718857200 128411433447680 134832005120064 140450005333400 156781401302400 160514291809600 168540006400080 179776006826752 184701376876800 192617150171520 210675008000100 224720008533440 240771437714400 269664010240128 280900010666800 313562802604800 321028583619200 337080012800160 385234300343040 421350016000200 449440017066880 481542875428800 539328020480256 561800021333600 642057167238400 674160025600320 842700032000400 898880034133760 963085750857600 1123600042667200 1348320051200640 1685400064000800 1926171501715200 2247200085334400 2696640102401280 3370800128001600 4494400170668800 6741600256003200 13483200512006400
- Sum of all divisors σ(n): 52780827878811648
- Sum of proper divisors (its aliquot sum) s(n): 39297627366805248
- 13483200512006400 is an abundant number, because the sum of its proper divisors (39297627366805248) is greater than itself. Its abundance is 25814426854798848
Bases of 13483200512006400
- Binary: 1011111110011011100110010000001111010000011001000000002
- Hexadecimal: 0x2FE6E640F41900
- Base-36: 3ORE8SYXEDC
Squares and roots of 13483200512006400
- 13483200512006400 squared (134832005120064002) is 181796696046969647110553640960000
- 13483200512006400 cubed (134832005120064003) is 2451201305221573020824176778136843714822144000000
-
The
square root of 13483200512006400 is 116117184.3957921673 -
The
cube root of 13483200512006400 is 238011.3481866573
Scales and comparisons
How big is 13483200512006400?- 13,483,200,512,006,400 seconds is equal to 428,724,070 years, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 13,483,200,512,006,400 would take you about one billion, two hundred eighty-six million, one hundred seventy-two thousand, two hundred ten 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 13483200512006400 cubic inches would be around 19834.3 feet tall.
Recreational maths with 13483200512006400
- 13483200512006400 backwards is 00460021500238431
- The number of decimal digits it has is: 17
- The sum of 13483200512006400's digits is 39
- More coming soon!
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"Number 13483200512006400 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
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Numbermatics. (2024). Number 13483200512006400 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/13483200512006400/
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The information we have on file for 13483200512006400 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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