13180428288000
13,180,428,288,000 is an even composite number composed of five prime numbers multiplied together.
13180428288000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred twenty-four divisors.
Prime factorization of 13180428288000:
216 × 32 × 53 × 19 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 19 × 97 × 97)See below for interesting mathematical facts about the number 13180428288000 from the Numbermatics database.
Names of 13180428288000
- Cardinal: 13180428288000 can be written as Thirteen trillion, one hundred eighty billion, four hundred twenty-eight million, two hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.3180428288 × 1013
Factors of 13180428288000
Divisors of 13180428288000
- Number of divisors d(n): 1224
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 30 32 36 38 40 45 48 50 57 60 64 72 75 76 80 90 95 96 97 100 114 120 125 128 144 150 152 160 171 180 190 192 194 200 225 228 240 250 256 285 288 291 300 304 320 342 360 375 380 384 388 400 450 456 475 480 485 500 512 570 576 582 600 608 640 684 720 750 760 768 776 800 855 873 900 912 950 960 970 1000 1024 1125 1140 1152 1164 1200 1216 1280 1368 1425 1440 1455 1500 1520 1536 1552 1600 1710 1746 1800 1824 1843 1900 1920 1940 2000 2048 2250 2280 2304 2328 2375 2400 2425 2432 2560 2736 2850 2880 2910 3000 3040 3072 3104 3200 3420 3492 3600 3648 3686 3800 3840 3880 4000 4096 4275 4365 4500 4560 4608 4656 4750 4800 4850 4864 5120 5472 5529 5700 5760 5820 6000 6080 6144 6208 6400 6840 6984 7125 7200 7275 7296 7372 7600 7680 7760 8000 8192 8550 8730 9000 9120 9215 9216 9312 9409 9500 9600 9700 9728 10240 10944 11058 11400 11520 11640 12000 12125 12160 12288 12416 12800 13680 13968 14250 14400 14550 14592 14744 15200 15360 15520 16000 16384 16587 17100 17460 18000 18240 18430 18432 18624 18818 19000 19200 19400 19456 20480 21375 21825 21888 22116 22800 23040 23280 24000 24250 24320 24576 24832 25600 27360 27645 27936 28227 28500 28800 29100 29184 29488 30400 30720 31040 32000 32768 33174 34200 34920 36000 36375 36480 36860 36864 37248 37636 38000 38400 38800 38912 40960 42750 43650 43776 44232 45600 46075 46080 46560 47045 48000 48500 48640 49152 49664 51200 54720 55290 55872 56454 57000 57600 58200 58368 58976 60800 61440 62080 64000 65536 66348 68400 69840 72000 72750 72960 73720 73728 74496 75272 76000 76800 77600 77824 81920 82935 84681 85500 87300 87552 88464 91200 92150 92160 93120 94090 96000 97000 97280 98304 99328 102400 109125 109440 110580 111744 112908 114000 115200 116400 116736 117952 121600 122880 124160 128000 132696 136800 138225 139680 141135 144000 145500 145920 147440 147456 148992 150544 152000 153600 155200 155648 163840 165870 169362 171000 174600 175104 176928 178771 182400 184300 184320 186240 188180 192000 194000 194560 196608 198656 204800 218250 218880 221160 223488 225816 228000 230375 230400 232800 233472 235225 235904 243200 245760 248320 256000 265392 273600 276450 279360 282270 288000 291000 291840 294880 294912 297984 301088 304000 307200 310400 311296 327680 331740 338724 342000 349200 350208 353856 357542 364800 368600 368640 372480 376360 384000 388000 389120 397312 409600 414675 423405 436500 437760 442320 446976 451632 456000 460750 460800 465600 466944 470450 471808 486400 491520 496640 512000 530784 536313 547200 552900 558720 564540 576000 582000 583680 589760 589824 595968 602176 608000 614400 620800 622592 663480 677448 684000 691125 698400 700416 705675 707712 715084 729600 737200 737280 744960 752720 768000 776000 778240 794624 819200 829350 846810 873000 875520 884640 893855 893952 903264 912000 921500 921600 931200 933888 940900 943616 972800 983040 993280 1024000 1061568 1072626 1094400 1105800 1117440 1129080 1152000 1164000 1167360 1176125 1179520 1191936 1204352 1216000 1228800 1241600 1245184 1326960 1354896 1368000 1382250 1396800 1400832 1411350 1415424 1430168 1459200 1474400 1474560 1489920 1505440 1536000 1552000 1556480 1589248 1608939 1638400 1658700 1693620 1746000 1751040 1769280 1787710 1787904 1806528 1824000 1843000 1843200 1862400 1867776 1881800 1887232 1945600 1986560 2048000 2073375 2117025 2123136 2145252 2188800 2211600 2234880 2258160 2304000 2328000 2334720 2352250 2359040 2383872 2408704 2432000 2457600 2483200 2653920 2681565 2709792 2736000 2764500 2793600 2801664 2822700 2830848 2860336 2918400 2948800 2949120 2979840 3010880 3072000 3104000 3112960 3178496 3217878 3317400 3387240 3492000 3502080 3528375 3538560 3575420 3575808 3613056 3648000 3686000 3686400 3724800 3735552 3763600 3774464 3891200 3973120 4096000 4146750 4234050 4246272 4290504 4377600 4423200 4469275 4469760 4516320 4608000 4656000 4669440 4704500 4718080 4767744 4817408 4864000 4915200 4966400 5307840 5363130 5419584 5472000 5529000 5587200 5603328 5645400 5661696 5720672 5836800 5897600 5959680 6021760 6144000 6208000 6225920 6356992 6435756 6634800 6774480 6984000 7004160 7056750 7077120 7150840 7151616 7226112 7296000 7372000 7372800 7449600 7527200 7548928 7782400 7946240 8044695 8192000 8293500 8468100 8492544 8581008 8755200 8846400 8938550 8939520 9032640 9216000 9312000 9338880 9409000 9436160 9535488 9634816 9728000 9932800 10585125 10615680 10726260 10839168 10944000 11058000 11174400 11206656 11290800 11323392 11441344 11673600 11795200 11919360 12043520 12288000 12416000 12871512 13269600 13407825 13548960 13968000 14008320 14113500 14154240 14301680 14303232 14452224 14592000 14744000 14745600 14899200 15054400 15097856 15564800 15892480 16089390 16587000 16936200 16985088 17162016 17510400 17692800 17877100 17879040 18065280 18432000 18624000 18677760 18818000 18872320 19070976 19269632 19456000 19865600 21170250 21231360 21452520 21678336 21888000 22116000 22346375 22348800 22581600 22646784 22882688 23347200 23590400 23838720 24087040 24576000 24832000 25743024 26539200 26815650 27097920 27936000 28016640 28227000 28308480 28603360 28606464 28904448 29184000 29488000 29798400 30108800 30195712 31129600 31784960 32178780 33174000 33872400 33970176 34324032 35020800 35385600 35754200 35758080 36130560 36864000 37248000 37636000 37744640 38539264 38912000 39731200 40223475 42340500 42462720 42905040 43356672 43776000 44232000 44692750 44697600 45163200 45293568 45765376 46694400 47180800 47677440 48174080 49664000 51486048 53078400 53631300 54195840 55872000 56033280 56454000 56616960 57206720 57212928 57808896 58368000 58976000 59596800 60217600 60391424 64357560 66348000 67039125 67744800 67940352 68648064 70041600 70771200 71508400 71516160 72261120 73728000 74496000 75272000 75489280 77078528 77824000 79462400 80446950 84681000 84925440 85810080 86713344 87552000 88464000 89385500 89395200 90326400 90587136 91530752 93388800 94361600 95354880 96348160 99328000 102972096 106156800 107262600 108391680 111744000 112908000 113233920 114413440 115617792 116736000 117952000 119193600 120435200 120782848 128715120 132696000 134078250 135489600 135880704 137296128 140083200 141542400 143016800 143032320 144522240 148992000 150544000 150978560 154157056 155648000 158924800 160893900 169362000 169850880 171620160 173426688 175104000 176928000 178771000 178790400 180652800 181174272 183061504 188723200 192696320 198656000 201117375 205944192 212313600 214525200 216783360 223488000 225816000 226467840 228826880 231235584 233472000 235904000 238387200 240870400 257430240 265392000 268156500 270979200 271761408 274592256 280166400 283084800 286033600 286064640 289044480 297984000 301088000 301957120 308314112 321787800 338724000 339701760 343240320 346853376 350208000 353856000 357542000 357580800 361305600 362348544 366123008 377446400 385392640 397312000 402234750 411888384 424627200 429050400 433566720 446976000 451632000 452935680 457653760 462471168 466944000 471808000 476774400 481740800 514860480 530784000 536313000 541958400 543522816 549184512 566169600 572067200 578088960 595968000 602176000 603914240 616628224 643575600 677448000 679403520 686480640 693706752 700416000 707712000 715084000 715161600 722611200 732246016 754892800 770785280 794624000 804469500 823776768 849254400 858100800 867133440 893952000 903264000 905871360 915307520 924942336 943616000 963481600 1029720960 1061568000 1072626000 1083916800 1087045632 1098369024 1132339200 1144134400 1156177920 1191936000 1204352000 1287151200 1354896000 1358807040 1372961280 1387413504 1400832000 1415424000 1430168000 1430323200 1445222400 1464492032 1509785600 1541570560 1608939000 1647553536 1698508800 1716201600 1734266880 1787904000 1806528000 1811742720 1830615040 1849884672 1887232000 1926963200 2059441920 2123136000 2145252000 2167833600 2196738048 2264678400 2288268800 2312355840 2383872000 2408704000 2574302400 2709792000 2717614080 2745922560 2774827008 2830848000 2860336000 2890444800 2928984064 3019571200 3083141120 3217878000 3295107072 3397017600 3432403200 3468533760 3575808000 3613056000 3661230080 3774464000 3853926400 4118883840 4246272000 4290504000 4335667200 4393476096 4529356800 4576537600 4624711680 4817408000 5148604800 5419584000 5435228160 5491845120 5549654016 5661696000 5720672000 5780889600 5857968128 6435756000 6590214144 6794035200 6864806400 6937067520 7151616000 7226112000 7322460160 7548928000 7707852800 8237767680 8492544000 8581008000 8671334400 8786952192 9058713600 9153075200 9249423360 9634816000 10297209600 10839168000 10983690240 11323392000 11441344000 11561779200 11715936256 12871512000 13180428288 13588070400 13729612800 13874135040 14452224000 14644920320 15097856000 15415705600 16475535360 16985088000 17162016000 17342668800 17573904384 18306150400 19269632000 20594419200 21678336000 21967380480 22646784000 22882688000 23123558400 25743024000 26360856576 27176140800 27459225600 27748270080 28904448000 29289840640 32951070720 33970176000 34324032000 34685337600 35147808768 36612300800 38539264000 41188838400 43356672000 43934760960 45293568000 45765376000 46247116800 51486048000 52721713152 54918451200 57808896000 58579681280 65902141440 67940352000 68648064000 69370675200 73224601600 77078528000 82377676800 86713344000 87869521920 91530752000 102972096000 105443426304 109836902400 115617792000 131804282880 135880704000 137296128000 138741350400 146449203200 164755353600 173426688000 175739043840 183061504000 205944192000 219673804800 231235584000 263608565760 274592256000 292898406400 329510707200 346853376000 366123008000 411888384000 439347609600 527217131520 549184512000 659021414400 693706752000 732246016000 823776768000 878695219200 1098369024000 1318042828800 1464492032000 1647553536000 2196738048000 2636085657600 3295107072000 4393476096000 6590214144000 13180428288000
- Sum of all divisors σ(n): 50541491398320
- Sum of proper divisors (its aliquot sum) s(n): 37361063110320
- 13180428288000 is an abundant number, because the sum of its proper divisors (37361063110320) is greater than itself. Its abundance is 24180634822320
Bases of 13180428288000
- Binary: 101111111100110011101011111100000000000000002
- Hexadecimal: 0xBFCCEBF0000
- Base-36: 4O706OZK0
Squares and roots of 13180428288000
- 13180428288000 squared (131804282880002) is 173723689855110610944000000
- 13180428288000 cubed (131804282880003) is 2289752636062038517855259983872000000000
-
The
square root of 13180428288000 is 3630485.9575544429 -
The
cube root of 13180428288000 is 23621.6288166937
Scales and comparisons
How big is 13180428288000?- 13,180,428,288,000 seconds is equal to 419,096 years, 44 weeks, 1 day, 8 hours.
-
To count from 1 to 13,180,428,288,000 would take you about one million, forty-seven thousand, seven hundred forty-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 13180428288000 cubic inches would be around 1968.5 feet tall.
Recreational maths with 13180428288000
- 13180428288000 backwards is 00088282408131
- 13180428288000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13180428288000's digits is 45
- More coming soon!
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The information we have on file for 13180428288000 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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