13328275584000
13,328,275,584,000 is an even composite number composed of five prime numbers multiplied together.
13328275584000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 13328275584000:
210 × 3 × 53 × 132 × 593
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 59 × 59 × 59)See below for interesting mathematical facts about the number 13328275584000 from the Numbermatics database.
Names of 13328275584000
- Cardinal: 13328275584000 can be written as Thirteen trillion, three hundred twenty-eight billion, two hundred seventy-five million, five hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.3328275584 × 1013
Factors of 13328275584000
Divisors of 13328275584000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 59 60 64 65 75 78 80 96 100 104 118 120 125 128 130 150 156 160 169 177 192 195 200 208 236 240 250 256 260 295 300 312 320 325 338 354 375 384 390 400 416 472 480 500 507 512 520 590 600 624 640 650 676 708 750 767 768 780 800 832 845 885 944 960 975 1000 1014 1024 1040 1180 1200 1248 1280 1300 1352 1416 1475 1500 1534 1536 1560 1600 1625 1664 1690 1770 1888 1920 1950 2000 2028 2080 2301 2360 2400 2496 2535 2560 2600 2704 2832 2950 3000 3068 3072 3120 3200 3250 3328 3380 3481 3540 3776 3835 3840 3900 4000 4056 4160 4225 4425 4602 4720 4800 4875 4992 5070 5120 5200 5408 5664 5900 6000 6136 6240 6400 6500 6656 6760 6962 7080 7375 7552 7670 7680 7800 8000 8112 8320 8450 8850 9204 9440 9600 9750 9971 9984 10140 10400 10443 10816 11328 11505 11800 12000 12272 12480 12675 12800 13000 13312 13520 13924 14160 14750 15104 15340 15360 15600 16000 16224 16640 16900 17405 17700 18408 18880 19175 19200 19500 19942 19968 20280 20800 20886 21125 21632 22125 22656 23010 23600 24000 24544 24960 25350 25600 26000 27040 27848 28320 29500 29913 30208 30680 31200 32000 32448 33280 33800 34810 35400 36816 37760 38350 38400 39000 39884 39936 40560 41600 41772 42250 43264 44250 45253 45312 46020 47200 48000 49088 49855 49920 50700 52000 52215 54080 55696 56640 57525 59000 59826 60416 61360 62400 63375 64000 64896 66560 67600 69620 70800 73632 75520 76700 76800 78000 79768 81120 83200 83544 84500 86528 87025 88500 90506 90624 92040 94400 95875 96000 98176 99710 99840 101400 104000 104430 108160 111392 113280 115050 118000 119652 122720 124800 126750 128000 129792 135200 135759 139240 141600 147264 149565 151040 153400 156000 159536 162240 166400 167088 169000 173056 174050 177000 181012 181248 184080 188800 191750 192000 196352 199420 199680 202800 205379 208000 208860 216320 222784 226265 226560 230100 236000 239304 245440 249275 249600 253500 259584 261075 270400 271518 278480 283200 287625 294528 299130 302080 306800 312000 319072 324480 332800 334176 338000 348100 354000 362024 368160 377600 383500 384000 392704 398840 405600 410758 416000 417720 432640 435125 445568 452530 453120 460200 472000 478608 490880 498550 499200 507000 519168 522150 540800 543036 556960 566400 575250 588289 589056 598260 613600 616137 624000 638144 648960 668352 676000 678795 696200 708000 724048 736320 747825 755200 767000 785408 797680 811200 821516 832000 835440 865280 870250 891136 905060 906240 920400 944000 957216 981760 997100 998400 1014000 1026895 1044300 1081600 1086072 1113920 1131325 1132800 1150500 1176578 1178112 1196520 1227200 1232274 1246375 1248000 1276288 1297920 1305375 1336704 1352000 1357590 1392400 1416000 1448096 1472640 1495650 1510400 1534000 1595360 1622400 1643032 1664000 1670880 1740500 1764867 1782272 1810120 1840800 1888000 1914432 1963520 1994200 2028000 2053790 2088600 2163200 2172144 2227840 2262650 2265600 2301000 2353156 2356224 2393040 2454400 2464548 2492750 2496000 2552576 2595840 2610750 2669927 2673408 2704000 2715180 2784800 2832000 2896192 2941445 2945280 2991300 3068000 3080685 3190720 3244800 3286064 3341760 3393975 3481000 3529734 3564544 3620240 3681600 3739125 3776000 3828864 3927040 3988400 4056000 4107580 4177200 4326400 4344288 4455680 4525300 4531200 4602000 4706312 4786080 4908800 4929096 4985500 4992000 5105152 5134475 5221500 5339854 5346816 5408000 5430360 5569600 5656625 5664000 5792384 5882890 5890560 5982600 6136000 6161370 6381440 6489600 6572128 6683520 6787950 6962000 7059468 7240480 7363200 7478250 7552000 7657728 7976800 8009781 8112000 8215160 8354400 8688576 8824335 8911360 9050600 9204000 9412624 9572160 9817600 9858192 9971000 10210304 10268950 10443000 10679708 10693632 10816000 10860720 11139200 11313250 11328000 11584768 11765780 11781120 11965200 12272000 12322740 12762880 12979200 13144256 13349635 13367040 13575900 13924000 14118936 14480960 14707225 14726400 14956500 15315456 15403425 15953600 16019562 16224000 16430320 16708800 16969875 17377152 17648670 17822720 18101200 18408000 18825248 19144320 19635200 19716384 19942000 20537900 20886000 21359416 21632000 21721440 22278400 22626500 22656000 23169536 23531560 23930400 24544000 24645480 25525760 25672375 26288512 26699270 26734080 27151800 27848000 28237872 28961920 29414450 29452800 29913000 30630912 30806850 31907200 32039124 32448000 32860640 33417600 33939750 34709051 34754304 35297340 36202400 36816000 37650496 38288640 39432768 39884000 40048905 41075800 41772000 42718832 43442880 44121675 44556800 45253000 46339072 47063120 47860800 49088000 49290960 51051520 51344750 52577024 53398540 53468160 54303600 55696000 56475744 57923840 58828900 58905600 59826000 61613700 63814400 64078248 64896000 65721280 66748175 66835200 67879500 69418102 69508608 70594680 72404800 73536125 73632000 75300992 76577280 77017125 78865536 79768000 80097810 82151600 83544000 85437664 86885760 88243350 89113600 90506000 94126240 95721600 98176000 98581920 102689500 104127153 105154048 106797080 108607200 111392000 112951488 115847680 117657800 119652000 123227400 127628800 128156496 131442560 133496350 133670400 135759000 138836204 139017216 141189360 144809600 147072250 147264000 150601984 153154560 154034250 157731072 159536000 160195620 164303200 167088000 170875328 173545255 173771520 176486700 181012000 188252480 191443200 197163840 200244525 205379000 208254306 210308096 213594160 217214400 220608375 222784000 225902976 231695360 235315600 239304000 246454800 255257600 256312992 262885120 266992700 267340800 271518000 277672408 282378720 289619200 294144500 294528000 301203968 308068500 315462144 319072000 320391240 328606400 333740875 334176000 341750656 347090510 347543040 352973400 362024000 376504960 382886400 394327680 400489050 410758000 416508612 427188320 434428800 441216750 445568000 451805952 470631200 478608000 492909600 512625984 520635765 525770240 533985400 543036000 555344816 564757440 579238400 588289000 602407936 616137000 630924288 638144000 640782480 657212800 667481750 668352000 683501312 694181020 695086080 705946800 724048000 753009920 765772800 788655360 800978100 821516000 833017224 854376640 867726275 868857600 882433500 903611904 941262400 957216000 985819200 1001222625 1025251968 1041271530 1051540480 1067970800 1086072000 1110689632 1129514880 1158476800 1176578000 1232274000 1276288000 1281564960 1314425600 1334963500 1336704000 1367002624 1388362040 1411893600 1448096000 1506019840 1577310720 1601956200 1643032000 1666034448 1708753280 1735452550 1737715200 1764867000 1807223808 1882524800 1914432000 1971638400 2002445250 2050503936 2082543060 2135941600 2172144000 2221379264 2259029760 2353156000 2464548000 2563129920 2603178825 2628851200 2669927000 2734005248 2776724080 2823787200 2896192000 3012039680 3154621440 3203912400 3286064000 3332068896 3417506560 3470905100 3475430400 3529734000 3765049600 3828864000 3943276800 4004890500 4101007872 4165086120 4271883200 4338631375 4344288000 4442758528 4518059520 4706312000 4929096000 5126259840 5206357650 5257702400 5339854000 5553448160 5647574400 5792384000 6407824800 6572128000 6664137792 6835013120 6941810200 7059468000 7530099200 7886553600 8009781000 8202015744 8330172240 8543766400 8677262750 8688576000 8885517056 9036119040 9412624000 9858192000 10252519680 10412715300 10679708000 11106896320 11295148800 12815649600 13015894125 13144256000 13328275584 13670026240 13883620400 14118936000 15060198400 15773107200 16019562000 16660344480 17087532800 17354525500 17377152000 17771034112 18825248000 19716384000 20505039360 20825430600 21359416000 22213792640 22590297600 25631299200 26031788250 26288512000 26656551168 27767240800 28237872000 32039124000 33320688960 34175065600 34709051000 35542068224 37650496000 39432768000 41010078720 41650861200 42718832000 44427585280 45180595200 51262598400 52063576500 53313102336 55534481600 56475744000 64078248000 66641377920 68350131200 69418102000 75300992000 78865536000 83301722400 85437664000 88855170560 102525196800 104127153000 106626204672 111068963200 112951488000 128156496000 133282755840 138836204000 166603444800 170875328000 177710341120 205050393600 208254306000 222137926400 225902976000 256312992000 266565511680 277672408000 333206889600 341750656000 416508612000 444275852800 512625984000 533131023360 555344816000 666413779200 833017224000 888551705600 1025251968000 1110689632000 1332827558400 1666034448000 2221379264000 2665655116800 3332068896000 4442758528000 6664137792000 13328275584000
- Sum of all divisors σ(n): 48835263934080
- Sum of proper divisors (its aliquot sum) s(n): 35506988350080
- 13328275584000 is an abundant number, because the sum of its proper divisors (35506988350080) is greater than itself. Its abundance is 22178712766080
Bases of 13328275584000
- Binary: 110000011111001110110010000110110100000000002
- Hexadecimal: 0xC1F3B21B400
- Base-36: 4Q2XB5N9C
Squares and roots of 13328275584000
- 13328275584000 squared (133282755840002) is 177642930043050541056000000
- 13328275584000 cubed (133282755840003) is 2367673927163010595234674376704000000000
-
The
square root of 13328275584000 is 3650791.0901611445 -
The
cube root of 13328275584000 is 23709.6233382795
Scales and comparisons
How big is 13328275584000?- 13,328,275,584,000 seconds is equal to 423,797 years, 48 weeks, 4 days, 21 hours, 20 minutes.
-
To count from 1 to 13,328,275,584,000 would take you about one million, fifty-nine thousand, four hundred ninety-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 13328275584000 cubic inches would be around 1975.8 feet tall.
Recreational maths with 13328275584000
- 13328275584000 backwards is 00048557282331
- 13328275584000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13328275584000's digits is 48
- More coming soon!
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The information we have on file for 13328275584000 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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