13017428736000
13,017,428,736,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13017428736000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
13017428736000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 13017428736000:
211 × 3 × 53 × 13 × 31 × 137 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 31 × 137 × 307)See below for interesting mathematical facts about the number 13017428736000 from the Numbermatics database.
Names of 13017428736000
- Cardinal: 13017428736000 can be written as Thirteen trillion, seventeen billion, four hundred twenty-eight million, seven hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.3017428736 × 1013
Factors of 13017428736000
Divisors of 13017428736000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 31 32 39 40 48 50 52 60 62 64 65 75 78 80 93 96 100 104 120 124 125 128 130 137 150 155 156 160 186 192 195 200 208 240 248 250 256 260 274 300 307 310 312 320 325 372 375 384 390 400 403 411 416 465 480 496 500 512 520 548 600 614 620 624 640 650 685 744 750 768 775 780 800 806 822 832 921 930 960 975 992 1000 1024 1040 1096 1200 1209 1228 1240 1248 1280 1300 1370 1488 1500 1535 1536 1550 1560 1600 1612 1625 1644 1664 1781 1842 1860 1920 1950 1984 2000 2015 2048 2055 2080 2192 2325 2400 2418 2456 2480 2496 2560 2600 2740 2976 3000 3070 3072 3100 3120 3200 3224 3250 3288 3328 3425 3562 3684 3720 3840 3875 3900 3968 3991 4000 4030 4110 4160 4247 4384 4605 4650 4800 4836 4875 4912 4960 4992 5120 5200 5343 5480 5952 6000 6045 6140 6144 6200 6240 6400 6448 6500 6576 6656 6850 7124 7368 7440 7675 7680 7750 7800 7936 7982 8000 8060 8220 8320 8494 8768 8905 9210 9300 9517 9600 9672 9750 9824 9920 9984 10075 10240 10275 10400 10686 10960 11625 11904 11973 12000 12090 12280 12400 12480 12741 12800 12896 13000 13152 13312 13700 14248 14736 14880 15350 15360 15500 15600 15872 15964 16000 16120 16440 16640 16988 17125 17536 17810 18420 18600 19034 19200 19344 19500 19648 19840 19955 19968 20150 20550 20800 21235 21372 21920 23025 23250 23808 23946 24000 24180 24560 24800 24960 25482 25600 25792 26000 26304 26624 26715 27400 28496 28551 29472 29760 30225 30700 30720 31000 31200 31744 31928 32000 32240 32880 33280 33976 34250 35072 35620 36840 37200 38068 38375 38400 38688 39000 39296 39680 39910 39936 40300 41100 41600 42059 42470 42744 43840 44525 46050 46500 47585 47616 47892 48000 48360 49120 49600 49920 50375 50964 51200 51375 51584 52000 52608 53430 54800 55211 56992 57102 58944 59520 59865 60450 61400 62000 62400 63488 63705 63856 64000 64480 65760 66560 67952 68500 70144 71240 73680 74400 76136 76750 76800 77376 78000 78592 79360 79820 79872 80600 82200 83200 84118 84940 85488 87680 89050 92100 93000 95170 95232 95784 96000 96720 98240 99200 99775 99840 100750 101928 102750 103168 104000 105216 106175 106860 109600 110422 113984 114204 115125 117888 119040 119730 120900 122800 123721 124000 124800 126177 127410 127712 128000 128960 131520 133120 133575 135904 137000 140288 142480 142755 147360 148800 151125 152272 153500 153600 154752 156000 157184 158720 159640 161200 164400 165633 166400 168236 169880 170976 175360 178100 184200 186000 190340 190464 191568 192000 193440 196480 198400 199550 199680 201500 203856 205500 206336 208000 210295 210432 212350 213720 219200 220844 222625 227968 228408 230250 235776 237925 238080 239460 241800 245600 247442 248000 249600 252354 254820 255424 256000 257920 263040 267150 271808 274000 276055 280576 284960 285510 294720 297600 299325 302250 304544 307000 309504 312000 314368 317440 318525 319280 322400 328800 331266 332800 336472 339760 341952 350720 356200 368400 371163 372000 380680 383136 384000 386880 392960 396800 399100 399360 403000 407712 411000 412672 416000 420590 420864 424700 427440 438400 441688 445250 455936 456816 460500 471552 475850 476160 478920 483600 491200 494884 496000 498875 499200 504708 509640 510848 515840 526080 530875 534300 543616 546767 548000 552110 569920 571020 589440 595200 598650 604500 609088 614000 618605 619008 624000 628736 630885 637050 638560 644800 657600 662532 665600 667875 672944 679520 683904 701440 712400 713775 736800 742326 744000 761360 766272 768000 773760 785920 793600 798200 806000 815424 822000 825344 828165 832000 841180 841728 849400 854880 876800 883376 890500 911872 913632 921000 943104 951700 952320 957840 967200 982400 989768 992000 997750 998400 1009416 1019280 1021696 1031680 1051475 1052160 1061750 1068600 1087232 1093534 1096000 1104220 1139840 1142040 1178880 1189625 1190400 1197300 1209000 1218176 1228000 1237210 1238016 1248000 1261770 1274100 1277120 1289600 1303829 1315200 1325064 1335750 1345888 1359040 1367808 1380275 1402880 1424800 1427550 1473600 1484652 1488000 1496625 1522720 1532544 1547520 1571840 1587200 1592625 1596400 1612000 1630848 1640301 1644000 1656330 1664000 1682360 1698800 1709760 1753600 1766752 1781000 1823744 1827264 1842000 1855815 1886208 1903400 1915680 1934400 1964800 1979536 1984000 1995500 1996800 2018832 2038560 2043392 2063360 2102950 2104320 2123500 2137200 2174464 2187068 2192000 2208440 2279680 2284080 2357760 2379250 2380800 2394600 2418000 2436352 2456000 2474420 2476032 2496000 2523540 2548200 2554240 2579200 2607658 2630400 2650128 2671500 2691776 2718080 2733835 2735616 2760550 2849600 2855100 2947200 2969304 2976000 2993250 3045440 3065088 3093025 3095040 3143680 3154425 3185250 3192800 3224000 3261696 3280602 3288000 3312660 3328000 3364720 3397600 3419520 3507200 3533504 3562000 3568875 3647488 3654528 3684000 3711630 3806800 3831360 3868800 3911487 3929600 3959072 3968000 3991000 4037664 4077120 4086784 4126720 4140825 4205900 4208640 4247000 4274400 4348928 4374136 4384000 4416880 4559360 4568160 4715520 4758500 4761600 4789200 4836000 4872704 4912000 4948840 4992000 5047080 5096400 5108480 5158400 5215316 5257375 5260800 5300256 5343000 5383552 5436160 5467670 5471232 5521100 5699200 5710200 5894400 5938608 5952000 5986500 6090880 6130176 6186050 6190080 6308850 6370500 6385600 6448000 6519145 6523392 6561204 6576000 6625320 6729440 6795200 6839040 6901375 7014400 7067008 7124000 7137750 7309056 7368000 7423260 7613600 7662720 7737600 7822974 7859200 7918144 7936000 7982000 8075328 8154240 8173568 8201505 8281650 8411800 8494000 8548800 8697856 8748272 8768000 8833760 9118720 9136320 9279075 9431040 9517000 9578400 9672000 9745408 9824000 9897680 9984000 10094160 10192800 10216960 10316800 10430632 10514750 10521600 10600512 10686000 10767104 10872320 10935340 10942464 11042200 11398400 11420400 11788800 11877216 11904000 11973000 12181760 12260352 12372100 12380160 12617700 12741000 12771200 12896000 13038290 13046784 13122408 13152000 13250640 13458880 13590400 13669175 13678080 13802750 14134016 14248000 14275500 14618112 14736000 14846520 15227200 15325440 15465125 15475200 15645948 15718400 15772125 15836288 15964000 16150656 16308480 16403010 16563300 16823600 16949777 16988000 17097600 17496544 17536000 17667520 18237440 18272640 18558150 19034000 19156800 19344000 19490816 19557435 19648000 19795360 20188320 20385600 20433920 20633600 20704125 20861264 21029500 21043200 21201024 21372000 21534208 21744640 21870680 22084400 22796800 22840800 23577600 23754432 23808000 23946000 24363520 24520704 24744200 25235400 25482000 25542400 25792000 26076580 26093568 26244816 26304000 26501280 26917760 27180800 27338350 27356160 27605500 28268032 28496000 28551000 29236224 29472000 29693040 30454400 30650880 30930250 30950400 31291896 31544250 31672576 31928000 32301312 32595725 32616960 32806020 33126600 33647200 33899554 33976000 34195200 34993088 35072000 35335040 36545280 37116300 38068000 38313600 38688000 39114870 39296000 39590720 40376640 40771200 40867840 41007525 41408250 41722528 42059000 42402048 42744000 43068416 43489280 43741360 44168800 45593600 45681600 46395375 47155200 47508864 47892000 48727040 49488400 50470800 50849331 50964000 51084800 51584000 52153160 52489632 52608000 53002560 53835520 54361600 54676700 54712320 55211000 56536064 56992000 57102000 58472448 58944000 59386080 60908800 61301760 61860500 61900800 62583792 63088500 63345152 63856000 64602624 65191450 65233920 65612040 66253200 67294400 67799108 67952000 68345875 68390400 69986176 70670080 73090560 74232600 76136000 76627200 77376000 78229740 78592000 79181440 80753280 81542400 82015050 82816500 83445056 84118000 84748885 84804096 85488000 86136832 87482720 88337600 91187200 91363200 92790750 95017728 95784000 97454080 97787175 98976800 100941600 101698662 101928000 102169600 103168000 104306320 104979264 105216000 106005120 107671040 108723200 109353400 110422000 113072128 113984000 114204000 117888000 118772160 121817600 122603520 123721000 125167584 126177000 126690304 127712000 129205248 130382900 130467840 131224080 132506400 134588800 135598216 135904000 136691750 136780800 139972352 141340160 146181120 148465200 152272000 153254400 154752000 156459480 158362880 161506560 162978625 163084800 164030100 165633000 166890112 168236000 169497770 169608192 170976000 174965440 176675200 182726400 185581500 190035456 191568000 195574350 197953600 201883200 203397324 203856000 204339200 205037625 208612640 209958528 212010240 215342080 217446400 218706800 220844000 227968000 228408000 235776000 237544320 243635200 247442000 250335168 252354000 253380608 254246655 255424000 258410496 260765800 262448160 265012800 269177600 271196432 271808000 273383500 273561600 279944704 282680320 292362240 296930400 304544000 306508800 309504000 312918960 316725760 323013120 325957250 326169600 328060200 331266000 333780224 336472000 338995540 339216384 341952000 349930880 353350400 365452800 371163000 380070912 383136000 391148700 395907200 403766400 406794648 407712000 410075250 417225280 419917056 423744425 424020480 430684160 437413600 441688000 455936000 456816000 475088640 487270400 488935875 494884000 500670336 504708000 508493310 510848000 521531600 524896320 530025600 538355200 542392864 543616000 546767000 559889408 565360640 593860800 609088000 613017600 625837920 633451520 646026240 651914500 652339200 656120400 662532000 667560448 672944000 677991080 683904000 699861760 706700800 730905600 742326000 760141824 766272000 782297400 791814400 807532800 813589296 815424000 820150500 834450560 839834112 847488850 848040960 874827200 883376000 913632000 950177280 977871750 989768000 1001340672 1009416000 1016986620 1021696000 1043063200 1049792640 1060051200 1076710400 1084785728 1087232000 1093534000 1119778816 1187721600 1218176000 1251675840 1266903040 1271233275 1292052480 1303829000 1312240800 1325064000 1335120896 1345888000 1355982160 1367808000 1399723520 1413401600 1461811200 1484652000 1532544000 1564594800 1583628800 1615065600 1627178592 1630848000 1640301000 1668901120 1679668224 1694977700 1696081920 1749654400 1766752000 1827264000 1900354560 1955743500 1979536000 2002681344 2018832000 2033973240 2086126400 2099585280 2118722125 2120102400 2153420800 2169571456 2187068000 2375443200 2436352000 2503351680 2542466550 2607658000 2624481600 2650128000 2670241792 2691776000 2711964320 2799447040 2826803200 2969304000 3065088000 3129189600 3167257600 3230131200 3254357184 3261696000 3280602000 3337802240 3359336448 3389955400 3499308800 3533504000 3654528000 3800709120 3911487000 3959072000 4005362688 4037664000 4067946480 4172252800 4199170560 4237444250 4240204800 4339142912 4374136000 4750886400 5006703360 5084933100 5215316000 5248963200 5300256000 5383552000 5423928640 5598894080 5938608000 6258379200 6334515200 6356166375 6460262400 6508714368 6561204000 6675604480 6779910800 6998617600 7067008000 7309056000 7822974000 7918144000 8010725376 8075328000 8135892960 8344505600 8398341120 8474888500 8480409600 8678285824 8748272000 9501772800 10013406720 10169866200 10430632000 10497926400 10600512000 10767104000 10847857280 11877216000 12516758400 12712332750 13017428736 13122408000 13351208960 13559821600 13997235200 14134016000 15645948000 15836288000 16150656000 16271785920 16689011200 16796682240 16949777000 17356571648 17496544000 19003545600 20026813440 20339732400 20861264000 20995852800 21201024000 21695714560 23754432000 25033516800 25424665500 26034857472 26244816000 27119643200 27994470400 31291896000 31672576000 32301312000 32543571840 33378022400 33899554000 34713143296 34993088000 40053626880 40679464800 41722528000 41991705600 42402048000 43391429120 47508864000 50067033600 50849331000 52069714944 52489632000 54239286400 62583792000 65087143680 66756044800 67799108000 69986176000 81358929600 83445056000 83983411200 86782858240 95017728000 100134067200 101698662000 104139429888 104979264000 108478572800 125167584000 130174287360 135598216000 139972352000 162717859200 166890112000 173565716480 200268134400 203397324000 209958528000 216957145600 250335168000 260348574720 271196432000 325435718400 333780224000 406794648000 419917056000 433914291200 500670336000 520697149440 542392864000 650871436800 813589296000 867828582400 1001340672000 1084785728000 1301742873600 1627178592000 2169571456000 2603485747200 3254357184000 4339142912000 6508714368000 13017428736000
- Sum of all divisors σ(n): 48657110261760
- Sum of proper divisors (its aliquot sum) s(n): 35639681525760
- 13017428736000 is an abundant number, because the sum of its proper divisors (35639681525760) is greater than itself. Its abundance is 22622252789760
Bases of 13017428736000
- Binary: 101111010110110110110011011100111000000000002
- Hexadecimal: 0xBD6DB373800
- Base-36: 4M44GYWAO
Squares and roots of 13017428736000
- 13017428736000 squared (130174287360002) is 169453450896838557696000000
- 13017428736000 cubed (130174287360003) is 2205848221118871212504704352256000000000
-
The
square root of 13017428736000 is 3607967.3967484795 -
The
cube root of 13017428736000 is 23523.8500800833
Scales and comparisons
How big is 13017428736000?- 13,017,428,736,000 seconds is equal to 413,913 years, 50 weeks, 2 days, 10 hours, 40 minutes.
-
To count from 1 to 13,017,428,736,000 would take you about one million, thirty-four thousand, seven 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 13017428736000 cubic inches would be around 1960.3 feet tall.
Recreational maths with 13017428736000
- 13017428736000 backwards is 00063782471031
- The number of decimal digits it has is: 14
- The sum of 13017428736000's digits is 42
- More coming soon!
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The information we have on file for 13017428736000 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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