13082978048000
13,082,978,048,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13082978048000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
13082978048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 13082978048000:
211 × 53 × 72 × 17 × 19 × 3229
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 17 × 19 × 3229)See below for interesting mathematical facts about the number 13082978048000 from the Numbermatics database.
Names of 13082978048000
- Cardinal: 13082978048000 can be written as Thirteen trillion, eighty-two billion, nine hundred seventy-eight million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.3082978048 × 1013
Factors of 13082978048000
Divisors of 13082978048000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 19 20 25 28 32 34 35 38 40 49 50 56 64 68 70 76 80 85 95 98 100 112 119 125 128 133 136 140 152 160 170 175 190 196 200 224 238 245 250 256 266 272 280 304 320 323 340 350 380 392 400 425 448 475 476 490 500 512 532 544 560 595 608 640 646 665 680 700 760 784 800 833 850 875 896 931 950 952 980 1000 1024 1064 1088 1120 1190 1216 1225 1280 1292 1330 1360 1400 1520 1568 1600 1615 1666 1700 1750 1792 1862 1900 1904 1960 2000 2048 2125 2128 2176 2240 2261 2375 2380 2432 2450 2560 2584 2660 2720 2800 2975 3040 3136 3200 3229 3230 3325 3332 3400 3500 3584 3724 3800 3808 3920 4000 4165 4250 4256 4352 4480 4522 4655 4750 4760 4864 4900 5120 5168 5320 5440 5600 5950 6080 6125 6272 6400 6458 6460 6650 6664 6800 7000 7168 7448 7600 7616 7840 8000 8075 8330 8500 8512 8704 8960 9044 9310 9500 9520 9728 9800 10240 10336 10640 10880 11200 11305 11900 12160 12250 12544 12800 12916 12920 13300 13328 13600 14000 14336 14875 14896 15200 15232 15680 15827 16000 16145 16150 16625 16660 17000 17024 17408 17920 18088 18620 19000 19040 19456 19600 20672 20825 21280 21760 22400 22603 22610 23275 23800 24320 24500 25088 25600 25832 25840 26600 26656 27200 28000 29750 29792 30400 30464 31360 31654 32000 32290 32300 33250 33320 34000 34048 34816 35840 36176 37240 38000 38080 38912 39200 40375 41344 41650 42560 43520 44800 45206 45220 46550 47600 48640 49000 50176 51200 51664 51680 53200 53312 54400 54893 56000 56525 59500 59584 60800 60928 61351 62720 63308 64000 64580 64600 66500 66640 68000 68096 71680 72352 74480 76000 76160 78400 79135 80725 80750 82688 83300 85120 87040 89600 90412 90440 93100 95200 97280 98000 100352 103328 103360 104125 106400 106624 108800 109786 112000 113015 113050 116375 119000 119168 121600 121856 122702 125440 126616 128000 129160 129200 133000 133280 136000 136192 144704 148960 152000 152320 156800 158221 158270 161450 161500 165376 166600 170240 174080 179200 180824 180880 186200 190400 194560 196000 206656 206720 208250 212800 213248 217600 219572 224000 226030 226100 232750 238000 238336 243200 243712 245404 250880 253232 256000 258320 258400 266000 266560 272000 272384 274465 282625 289408 297920 304000 304640 306755 313600 316442 316540 322900 323000 330752 333200 340480 358400 361648 361760 372400 380800 384251 392000 395675 403625 413312 413440 416500 425600 426496 429457 435200 439144 448000 452060 452200 465500 476000 476672 486400 490808 501760 506464 516640 516800 532000 533120 544000 548930 565075 565250 578816 595840 608000 609280 613510 627200 632884 633080 645800 646000 661504 666400 680960 723296 723520 744800 761600 768502 784000 791105 791350 807250 826624 826880 833000 851200 852992 858914 870400 878288 896000 904120 904400 931000 952000 953344 972800 981616 1012928 1033280 1033600 1042967 1064000 1066240 1088000 1097860 1130150 1130500 1157632 1191680 1216000 1218560 1227020 1254400 1265768 1266160 1291600 1292000 1332800 1361920 1372325 1446592 1447040 1489600 1523200 1533775 1537004 1568000 1582210 1582700 1614500 1653248 1653760 1666000 1702400 1705984 1717828 1756576 1792000 1808240 1808800 1862000 1904000 1906688 1921255 1963232 1978375 2025856 2066560 2067200 2085934 2128000 2132480 2147285 2176000 2195720 2260300 2261000 2315264 2383360 2432000 2454040 2508800 2531536 2532320 2583200 2584000 2665600 2689757 2744650 2825375 2893184 2894080 2979200 3006199 3046400 3067550 3074008 3136000 3164420 3165400 3229000 3306496 3307520 3332000 3404800 3435656 3513152 3616480 3617600 3724000 3808000 3842510 3926464 3955525 3956750 4051712 4133120 4134400 4171868 4256000 4264960 4294570 4352000 4391440 4520600 4522000 4630528 4766720 4864000 4908080 5063072 5064640 5166400 5168000 5214835 5331200 5379514 5489300 5650750 5786368 5788160 5958400 6012398 6092800 6135100 6148016 6272000 6328840 6330800 6458000 6612992 6664000 6809600 6861625 6871312 7026304 7232960 7235200 7300769 7448000 7616000 7668875 7685020 7852928 7911050 7913500 8103424 8266240 8268800 8343736 8512000 8529920 8589140 8782880 9041200 9044000 9533440 9606275 9816160 10126144 10129280 10332800 10336000 10429670 10662400 10736425 10759028 10978600 11301500 11572736 11576320 11916800 12024796 12270200 12296032 12544000 12657680 12661600 12916000 13328000 13448785 13723250 13742624 14052608 14465920 14470400 14601538 14896000 15030995 15232000 15337750 15370040 15705856 15822100 15827000 16206848 16532480 16537600 16687472 17024000 17178280 17565760 18082400 18088000 19212550 19632320 19777625 20252288 20258560 20665600 20672000 20859340 21324800 21472850 21518056 21957200 22603000 23145472 23152640 23833600 24049592 24540400 24592064 25315360 25323200 25832000 26074175 26656000 26897570 27446500 27485248 28105216 28931840 28940800 29203076 29792000 30061990 30464000 30675500 30740080 31411712 31644200 31654000 32413696 33064960 33374944 34048000 34356560 35131520 36164800 36176000 36503845 38425100 39264640 39555250 40504576 40517120 41331200 41344000 41718680 42649600 42945700 43036112 43914400 45206000 46290944 47667200 48031375 48099184 49080800 49184128 50630720 50646400 51105383 51664000 52148350 53312000 53682125 53795140 54893000 54970496 56210432 57863680 57881600 58406152 59584000 60123980 61351000 61480160 62823424 63288400 63308000 66749888 67243925 68713120 70263040 72329600 72352000 73007690 75154975 76850200 78529280 79110500 81009152 81034240 82662400 82688000 83437360 85891400 86072224 87828800 90412000 96062750 96198368 98161600 98368256 101261440 101292800 102210766 103328000 104296700 106624000 107364250 107590280 109786000 109940992 112420864 115727360 115763200 116812304 119168000 120247960 122702000 122960320 125646848 126576800 126616000 130370875 133499776 134487850 137426240 140526080 144659200 144704000 146015380 150309950 153700400 157058560 158221000 162018304 162068480 165324800 166874720 171782800 172144448 175657600 180824000 182519225 192125500 192396736 196323200 196736512 202522880 202585600 204421532 206656000 208593400 213248000 214728500 215180560 219572000 219881984 231454720 233624608 238336000 240495920 245404000 245920640 253153600 253232000 255526915 260741750 266999552 268975700 274852480 281052160 289318400 289408000 292030760 300619900 307400800 314117120 316442000 324036608 333749440 336219625 343565600 344288896 351315200 361648000 365038450 375774875 384251000 384793472 392646400 393473024 405045760 405171200 408843064 413312000 417186800 429457000 430361120 439144000 439763968 467249216 480991840 490808000 491841280 506307200 506464000 511053830 521483500 533999104 537951400 549704960 562104320 578636800 578816000 584061520 601239800 614801600 628234240 632884000 667498880 672439250 687131200 688577792 702630400 723296000 730076900 751549750 768502000 769586944 785292800 786946048 810091520 810342400 817686128 826624000 834373600 858914000 860722240 878288000 879527936 912596125 934498432 961983680 981616000 983682560 1012614400 1012928000 1022107660 1042967000 1067998208 1075902800 1099409920 1157273600 1168123040 1202479600 1229603200 1265768000 1277634575 1334997760 1344878500 1374262400 1377155584 1405260800 1446592000 1460153800 1503099500 1537004000 1539173888 1570585600 1620183040 1635372256 1668747200 1717828000 1721444480 1756576000 1825192250 1868996864 1923967360 1963232000 1967365120 2025228800 2025856000 2044215320 2085934000 2135996416 2151805600 2198819840 2336246080 2404959200 2459206400 2531536000 2555269150 2669995520 2689757000 2748524800 2754311168 2810521600 2893184000 2920307600 3006199000 3074008000 3078347776 3141171200 3270744512 3337494400 3435656000 3442888960 3513152000 3650384500 3737993728 3847934720 3926464000 3934730240 4050457600 4051712000 4088430640 4171868000 4303611200 4397639680 4672492160 4809918400 4918412800 5063072000 5110538300 5339991040 5379514000 5497049600 5508622336 5786368000 5840615200 6012398000 6148016000 6156695552 6388172875 6541489024 6674988800 6871312000 6885777920 7026304000 7300769000 7475987456 7695869440 7852928000 8100915200 8176861280 8343736000 8607222400 9344984320 9619836800 9836825600 10126144000 10221076600 10679982080 10759028000 10994099200 11681230400 12024796000 12296032000 12776345750 13082978048 13349977600 13742624000 13771555840 14052608000 14601538000 14951974912 15391738880 15705856000 16353722560 16687472000 17214444800 18689968640 19239673600 19673651200 20252288000 20442153200 21518056000 21988198400 23362460800 24049592000 24592064000 25552691500 26165956096 26699955200 27485248000 27543111680 29203076000 30783477760 32707445120 33374944000 34428889600 37379937280 38479347200 40504576000 40884306400 43036112000 46724921600 48099184000 49184128000 51105383000 52331912192 53399910400 54970496000 58406152000 65414890240 66749888000 68857779200 74759874560 76958694400 81768612800 86072224000 93449843200 96198368000 98368256000 102210766000 104663824384 109940992000 116812304000 130829780480 133499776000 137715558400 153917388800 163537225600 172144448000 186899686400 192396736000 204421532000 233624608000 261659560960 266999552000 327074451200 344288896000 373799372800 384793472000 408843064000 467249216000 523319121920 654148902400 688577792000 769586944000 817686128000 934498432000 1308297804800 1635372256000 1868996864000 2616595609600 3270744512000 6541489024000 13082978048000
- Sum of all divisors σ(n): 42340734072000
- Sum of proper divisors (its aliquot sum) s(n): 29257756024000
- 13082978048000 is an abundant number, because the sum of its proper divisors (29257756024000) is greater than itself. Its abundance is 16174777976000
Bases of 13082978048000
- Binary: 101111100110000111100100001001011000000000002
- Hexadecimal: 0xBE61E425800
- Base-36: 4MY8JC54W
Squares and roots of 13082978048000
- 13082978048000 squared (130829780480002) is 171164314604449890304000000
- 13082978048000 cubed (130829780480003) is 2239338970570983717963240046592000000000
-
The
square root of 13082978048000 is 3617039.9566496359 -
The
cube root of 13082978048000 is 23563.2688017977
Scales and comparisons
How big is 13082978048000?- 13,082,978,048,000 seconds is equal to 415,998 years, 12 weeks, 1 day, 53 minutes, 20 seconds.
-
To count from 1 to 13,082,978,048,000 would take you about one million, thirty-nine thousand, nine hundred ninety-five 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 13082978048000 cubic inches would be around 1963.6 feet tall.
Recreational maths with 13082978048000
- 13082978048000 backwards is 00084087928031
- 13082978048000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13082978048000's digits is 50
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 13082978048000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
APA style:
Numbermatics. (2024). Number 13082978048000 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/13082978048000/
Chicago style:
Numbermatics. 2024. "Number 13082978048000 - Facts about the integer". https://numbermatics.com/n/13082978048000/
The information we have on file for 13082978048000 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!
Keywords: Divisors of 13082978048000, math, Factors of 13082978048000, curriculum, school, college, exams, university, Prime factorization of 13082978048000, STEM, science, technology, engineering, physics, economics, calculator, thirteen trillion, eighty-two billion, nine hundred seventy-eight million, forty-eight thousand.