13528020064000
13,528,020,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13528020064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
13528020064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 13528020064000:
28 × 53 × 132 × 19 × 312 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 19 × 31 × 31 × 137)See below for interesting mathematical facts about the number 13528020064000 from the Numbermatics database.
Names of 13528020064000
- Cardinal: 13528020064000 can be written as Thirteen trillion, five hundred twenty-eight billion, twenty million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.3528020064 × 1013
Factors of 13528020064000
Divisors of 13528020064000
- Number of divisors d(n): 1296
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Complete list of divisors:
1 2 4 5 8 10 13 16 19 20 25 26 31 32 38 40 50 52 62 64 65 76 80 95 100 104 124 125 128 130 137 152 155 160 169 190 200 208 247 248 250 256 260 274 304 310 320 325 338 380 400 403 416 475 494 496 500 520 548 589 608 620 640 650 676 685 760 775 800 806 832 845 950 961 988 992 1000 1040 1096 1178 1216 1235 1240 1280 1300 1352 1370 1520 1550 1600 1612 1625 1664 1690 1781 1900 1922 1976 1984 2000 2015 2080 2192 2356 2375 2432 2470 2480 2600 2603 2704 2740 2945 3040 3100 3200 3211 3224 3250 3328 3380 3425 3562 3800 3844 3875 3952 3968 4000 4030 4160 4225 4247 4384 4712 4750 4805 4864 4940 4960 5200 5206 5239 5408 5480 5890 6080 6175 6200 6400 6422 6448 6500 6760 6850 7124 7600 7657 7688 7750 7904 7936 8000 8060 8320 8450 8494 8768 8905 9424 9500 9610 9880 9920 10075 10400 10412 10478 10816 10960 11780 12160 12350 12400 12493 12844 12896 13000 13015 13520 13700 14248 14725 15200 15314 15376 15500 15808 16000 16055 16120 16640 16900 16988 17125 17536 17810 18259 18848 19000 19220 19760 19840 20150 20800 20824 20956 21125 21235 21632 21920 23153 23560 24025 24320 24700 24800 24986 25688 25792 26000 26030 26195 27040 27400 28496 29450 30400 30628 30752 30875 31000 31616 32000 32110 32240 33800 33839 33976 34250 35072 35620 36518 37696 38000 38285 38440 39520 39680 40300 41600 41648 41912 42250 42470 43264 43840 44525 46306 47120 48050 49400 49600 49972 50375 51376 51584 52000 52060 52390 54080 54800 55211 56992 58900 60800 61256 61504 61750 62000 62465 63232 64220 64480 65075 67600 67678 67952 68500 71240 73036 73625 75392 76000 76570 76880 79040 80275 80600 80693 83200 83296 83824 84500 84940 87680 89050 91295 92612 94240 96100 98800 99200 99541 99944 100750 102752 103168 104000 104120 104780 106175 108160 109600 110422 113984 115765 117800 120125 121600 122512 123008 123500 124000 124930 128440 128960 130150 130975 131657 135200 135356 135904 137000 142480 146072 147250 150784 152000 153140 153760 158080 160550 161200 161386 162409 166592 167648 169000 169195 169880 175360 178100 182590 185224 188480 191425 192200 197600 198400 199082 199888 201500 205504 208000 208240 209560 212350 216320 219200 220844 222625 227968 231530 235600 237367 240250 245024 246016 247000 248000 249860 256880 257920 260300 261950 263314 270400 270712 271808 274000 276055 284960 292144 294500 304000 306280 307520 312325 316160 321100 322400 322772 324818 325375 333184 335296 338000 338390 339760 356200 365180 370448 376960 382850 384400 395200 398164 399776 401375 403000 403465 411008 416000 416480 419120 424700 438400 439907 441688 445250 455936 456475 463060 471200 474734 480500 490048 494000 496000 497705 499720 513760 515840 520600 523900 526628 530875 540800 541424 543616 548000 552110 569920 578825 584288 589000 608000 612560 615040 624650 642200 644800 645544 649636 650750 654875 658285 666368 670592 676000 676780 679520 712400 717743 730360 740896 753920 765700 768800 790400 796328 799552 802750 806000 806930 812045 822016 832960 838240 845975 849400 876800 879814 883376 890500 912950 926120 942400 949468 957125 961000 980096 988000 992000 995410 999440 1027520 1041200 1047800 1049009 1053256 1061750 1081600 1082848 1087232 1096000 1104220 1139840 1157650 1168576 1178000 1186835 1225120 1230080 1249300 1284400 1289600 1291088 1299272 1301500 1309750 1316570 1341184 1352000 1353560 1359040 1380275 1424800 1435486 1460720 1481792 1531400 1537600 1561625 1580800 1592656 1599104 1605500 1612000 1613860 1624090 1665920 1676480 1691950 1698800 1711541 1759628 1766752 1781000 1825900 1852240 1884800 1898936 1914250 1922000 1960192 1976000 1990820 1998880 2017325 2055040 2082400 2095600 2098018 2106512 2123500 2165696 2192000 2199535 2208440 2279680 2282375 2315300 2337152 2356000 2373670 2450240 2488525 2498600 2501483 2568800 2579200 2582176 2598544 2603000 2619500 2633140 2704000 2707120 2718080 2760550 2849600 2870972 2894125 2921440 2963584 3062800 3075200 3085771 3123250 3185312 3198208 3211000 3224000 3227720 3248180 3291425 3331840 3352960 3383900 3397600 3423082 3519256 3533504 3562000 3588715 3651800 3704480 3769600 3797872 3828500 3844000 3952000 3981640 3997760 4034650 4060225 4110080 4164800 4191200 4196036 4213024 4229875 4247000 4331392 4384000 4399070 4416880 4564750 4630600 4674304 4712000 4747340 4900480 4977050 4997200 5002966 5137600 5164352 5197088 5206000 5239000 5245045 5266280 5408000 5414240 5436160 5521100 5699200 5741944 5788250 5842880 5927168 5934175 6125600 6150400 6171542 6246500 6370624 6422000 6448000 6455440 6496360 6582850 6705920 6767800 6795200 6846164 6901375 7038512 7067008 7124000 7177430 7303600 7408960 7595744 7657000 7688000 7904000 7963280 7995520 8069300 8120450 8329600 8382400 8392072 8426048 8459750 8494000 8557705 8662784 8798140 8833760 9129500 9261200 9424000 9494680 9800960 9954100 9994400 10005932 10086625 10275200 10328704 10394176 10412000 10478000 10490090 10532560 10828480 10997675 11042200 11398400 11483888 11576500 11685760 11868350 12251200 12343084 12442625 12493000 12507415 12741248 12844000 12896000 12910880 12992720 13165700 13535600 13590400 13637117 13692328 13802750 14077024 14134016 14248000 14354860 14607200 14817920 15191488 15314000 15376000 15428855 15926560 15991040 16138600 16240900 16457125 16659200 16764800 16784144 16852096 16919500 16988000 17115410 17596280 17667520 17943575 18259000 18522400 18848000 18989360 19908200 19988800 20011864 20173250 20301125 20550400 20657408 20788352 20824000 20956000 20980180 21065120 21656960 21995350 22084400 22250033 22967776 23153000 23371520 23736700 24502400 24686168 24885250 24986000 25014830 25482496 25688000 25821760 25985440 26225225 26331400 27071200 27180800 27274234 27384656 27605500 28154048 28496000 28709720 29214400 29635840 29670875 30382976 30628000 30752000 30857710 31853120 32277200 32481800 32519279 32914250 33529600 33568288 33704192 33839000 33976000 34230820 35192560 35335040 35887150 36518000 37044800 37978720 39816400 39977600 40023728 40346500 40602250 41576704 41648000 41912000 41960360 42130240 42788525 43313920 43990700 44168800 44500066 45935552 46306000 47473400 49004800 49372336 49770500 49972000 50029660 51376000 51643520 51970880 52450450 52662800 54142400 54548468 54769312 54988375 55211000 56308096 56992000 57419440 58428800 59341750 60765952 61256000 61715420 62537075 63706240 64554400 64963600 65038558 65828500 67136576 67678000 67952000 68185585 68461640 70385120 70670080 71774300 73036000 74089600 75957440 77144275 79632800 79955200 80047456 80693000 81204500 83296000 83824000 83920720 84260480 85577050 87981400 88337600 89000132 89717875 91871104 92612000 94946800 98744672 99541000 99944000 100059320 102752000 103287040 103941760 104900900 105325600 108284800 109096936 109538624 109976750 110422000 111250165 112616192 114838880 116857600 118683500 122512000 123430840 125074150 127412480 129108800 129927200 130077116 131126125 131657000 134273152 135356000 135904000 136371170 136923280 140770240 143548600 146072000 148179200 151914880 154288550 159265600 160094912 161386000 162409000 162596395 167648000 167841440 168520960 171154100 175962800 176675200 178000264 179435750 183742208 185224000 189893600 197489344 199082000 199888000 200118640 207883520 209801800 210651200 213942625 216569600 218193872 219077248 219953500 220844000 222500330 229677760 237367000 245024000 246861680 250148300 258217600 259854400 260154232 262252250 263314000 268546304 270712000 272742340 273846560 281540480 287097200 292144000 303829760 308577100 312685375 318531200 320189824 322772000 324818000 325192790 335682880 340927925 342308200 351925600 353350400 356000528 358871500 370448000 379787200 385721375 394978688 398164000 399776000 400237280 419603600 421302400 422750627 427885250 436387744 438154496 439907000 441688000 445000660 459355520 474734000 493723360 500296600 516435200 519708800 520308464 524504500 526628000 541424000 545484680 547693120 556250825 563080960 574194400 584288000 617154200 625370750 637062400 640379648 645544000 649636000 650385580 671365760 681855850 684616400 703851200 712001056 717743000 740896000 759574400 771442750 789957376 796328000 800474560 812981975 839207200 842604800 845501254 855770500 872775488 879814000 883376000 890001320 918711040 949468000 987446720 1000593200 1039417600 1040616928 1049009000 1053256000 1082848000 1090969360 1095386240 1112501650 1148388800 1234308400 1250741500 1291088000 1299272000 1300771160 1342731520 1363711700 1369232800 1407702400 1424002112 1435486000 1519148800 1542885500 1592656000 1600949120 1625963950 1678414400 1691002508 1704639625 1711541000 1745550976 1759628000 1766752000 1780002640 1898936000 1974893440 2001186400 2081233856 2098018000 2106512000 2113753135 2181938720 2190772480 2225003300 2296777600 2468616800 2501483000 2582176000 2598544000 2601542320 2727423400 2738465600 2781254125 2815404800 2848004224 2870972000 3085771000 3185312000 3201898240 3251927900 3356828800 3382005016 3409279250 3423082000 3491101952 3519256000 3560005280 3797872000 3949786880 4002372800 4064909875 4162467712 4196036000 4213024000 4227506270 4363877440 4450006600 4593555200 4937233600 5002966000 5197088000 5203084640 5454846800 5476931200 5562508250 5696008448 5741944000 6171542000 6503855800 6713657600 6764010032 6818558500 6846164000 7038512000 7120010560 7595744000 8004745600 8129819750 8324935424 8392072000 8455012540 8727754880 8900013200 9874467200 10005932000 10406169280 10568765675 10909693600 10953862400 11125016500 11483888000 12343084000 13007711600 13528020064 13637117000 13692328000 14077024000 14240021120 16009491200 16259639500 16784144000 16910025080 17455509760 17800026400 19748934400 20011864000 20812338560 21137531350 21819387200 22250033000 22967776000 24686168000 26015423200 27056040128 27274234000 27384656000 28480042240 32519279000 33568288000 33820050160 35600052800 40023728000 41624677120 42275062700 43638774400 44500066000 49372336000 52030846400 52843828375 54112080256 54548468000 54769312000 65038558000 67640100320 71200105600 80047456000 84550125400 87277548800 89000132000 98744672000 104061692800 105687656750 108224160512 109096936000 130077116000 135280200640 142400211200 169100250800 178000264000 208123385600 211375313500 218193872000 260154232000 270560401280 338200501600 356000528000 422750627000 436387744000 520308464000 541120802560 676401003200 712001056000 845501254000 1040616928000 1352802006400 1691002508000 2705604012800 3382005016000 6764010032000 13528020064000
- Sum of all divisors σ(n): 39981116579040
- Sum of proper divisors (its aliquot sum) s(n): 26453096515040
- 13528020064000 is an abundant number, because the sum of its proper divisors (26453096515040) is greater than itself. Its abundance is 12925076451040
Bases of 13528020064000
- Binary: 110001001101101111001101010010010111000000002
- Hexadecimal: 0xC4DBCD49700
- Base-36: 4SMOPV2F4
Squares and roots of 13528020064000
- 13528020064000 squared (135280200640002) is 183007326851986564096000000
- 13528020064000 cubed (135280200640003) is 2475726789512680197349110022144000000000
-
The
square root of 13528020064000 is 3678045.6854150139 -
The
cube root of 13528020064000 is 23827.4781282271
Scales and comparisons
How big is 13528020064000?- 13,528,020,064,000 seconds is equal to 430,149 years, 10 weeks, 7 hours, 6 minutes, 40 seconds.
-
To count from 1 to 13,528,020,064,000 would take you about one million, seventy-five thousand, three hundred seventy-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 13528020064000 cubic inches would be around 1985.6 feet tall.
Recreational maths with 13528020064000
- 13528020064000 backwards is 00046002082531
- 13528020064000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13528020064000's digits is 31
- More coming soon!
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The information we have on file for 13528020064000 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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