13328267148000
13,328,267,148,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13328267148000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
13328267148000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13328267148000:
25 × 35 × 53 × 72 × 234
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 13328267148000 from the Numbermatics database.
Names of 13328267148000
- Cardinal: 13328267148000 can be written as Thirteen trillion, three hundred twenty-eight billion, two hundred sixty-seven million, one hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3328267148 × 1013
Factors of 13328267148000
Divisors of 13328267148000
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 27 28 30 32 35 36 40 42 45 46 48 49 50 54 56 60 63 69 70 72 75 80 81 84 90 92 96 98 100 105 108 112 115 120 125 126 135 138 140 144 147 150 160 161 162 168 175 180 184 189 196 200 207 210 216 224 225 230 240 243 245 250 252 270 276 280 288 294 300 315 322 324 336 345 350 360 368 375 378 392 400 405 414 420 432 441 450 460 480 483 486 490 500 504 525 529 540 552 560 567 575 588 600 621 630 644 648 672 675 690 700 720 735 736 750 756 784 800 805 810 828 840 864 875 882 900 920 945 966 972 980 1000 1008 1035 1050 1058 1080 1104 1120 1125 1127 1134 1150 1176 1200 1215 1225 1242 1260 1288 1296 1323 1350 1380 1400 1440 1449 1470 1500 1512 1568 1575 1587 1610 1620 1656 1680 1701 1725 1750 1764 1800 1840 1863 1890 1932 1944 1960 2000 2016 2025 2070 2100 2116 2160 2205 2208 2250 2254 2268 2300 2352 2400 2415 2430 2450 2484 2520 2576 2592 2625 2645 2646 2700 2760 2800 2835 2875 2898 2940 3000 3024 3105 3150 3174 3220 3240 3312 3360 3375 3381 3402 3450 3500 3528 3600 3675 3680 3703 3726 3780 3864 3888 3920 3969 4000 4025 4050 4140 4200 4232 4320 4347 4410 4500 4508 4536 4600 4704 4725 4761 4830 4860 4900 4968 5040 5152 5175 5250 5290 5292 5400 5520 5589 5600 5635 5670 5750 5796 5880 6000 6048 6075 6125 6210 6300 6348 6440 6480 6615 6624 6750 6762 6804 6900 7000 7056 7200 7245 7350 7406 7452 7560 7728 7776 7840 7875 7935 7938 8050 8100 8280 8400 8464 8505 8625 8694 8820 9000 9016 9072 9200 9315 9450 9522 9660 9720 9800 9936 10080 10125 10143 10350 10500 10580 10584 10800 11025 11040 11109 11178 11270 11340 11500 11592 11760 11907 12000 12075 12150 12167 12250 12420 12600 12696 12880 12960 13041 13225 13230 13500 13524 13608 13800 14000 14112 14175 14283 14490 14700 14812 14904 15120 15456 15525 15750 15870 15876 16100 16200 16560 16800 16905 16928 17010 17250 17388 17640 18000 18032 18144 18375 18400 18515 18630 18900 19044 19320 19440 19600 19845 19872 20125 20250 20286 20700 21000 21160 21168 21600 21735 22050 22218 22356 22540 22680 23000 23184 23520 23625 23805 23814 24150 24300 24334 24500 24840 25200 25392 25760 25875 25921 26082 26450 26460 27000 27048 27216 27600 27945 28000 28175 28350 28566 28980 29400 29624 29808 30240 30375 30429 31050 31500 31740 31752 32200 32400 33075 33120 33327 33810 34020 34500 34776 35280 36000 36064 36225 36501 36750 37030 37260 37800 38088 38640 38880 39123 39200 39675 39690 40250 40500 40572 41400 42000 42320 42336 42525 42849 43470 44100 44436 44712 45080 45360 46000 46368 46575 47250 47610 47628 48300 48600 48668 49000 49680 50400 50715 50784 51750 51842 52164 52900 52920 54000 54096 54432 55125 55200 55545 55890 56350 56700 57132 57960 58800 59248 59535 59616 60375 60750 60835 60858 62100 63000 63480 63504 64400 64800 65205 66125 66150 66654 67620 68040 69000 69552 70560 70875 71415 72450 73002 73500 74060 74520 75600 76176 77280 77625 77763 78246 79350 79380 80500 81000 81144 82800 84000 84525 84640 85050 85169 85698 86940 88200 88872 89424 90160 90720 91287 92000 92575 93150 94500 95220 95256 96600 97200 97336 98000 99225 99360 99981 101430 103500 103684 104328 105800 105840 108000 108192 108675 109503 110250 111090 111780 112700 113400 114264 115920 117600 118496 119025 119070 120750 121500 121670 121716 124200 126000 126960 127008 128547 128800 129605 130410 132250 132300 133308 135240 136080 138000 139104 139725 140875 141750 142830 144900 146004 147000 148120 149040 151200 152145 152352 155250 155526 156492 158700 158760 161000 162000 162288 165375 165600 166635 169050 170100 170338 171396 173880 176400 177744 178848 180320 181125 182505 182574 185150 186300 189000 190440 190512 193200 194400 194672 195615 196000 198375 198450 199962 202860 207000 207368 208656 211600 211680 212625 214245 217350 219006 220500 222180 223560 225400 226800 228528 231840 232875 233289 238050 238140 241500 243000 243340 243432 248400 252000 253575 253920 255507 257094 259210 260820 264500 264600 266616 270480 272160 273861 276000 277725 279450 279841 281750 283500 285660 289800 292008 294000 296240 297675 298080 299943 304175 304290 310500 311052 312984 317400 317520 322000 324000 324576 326025 328509 330750 333270 338100 340200 340676 342792 347760 352800 355488 357075 362250 365010 365148 370300 372600 378000 380880 381024 386400 388815 389344 391230 396750 396900 399924 405720 414000 414736 417312 422625 423200 425250 425845 428490 434700 438012 441000 444360 447120 450800 453600 456435 457056 462875 465750 466578 476100 476280 483000 486000 486680 486864 496125 496800 499905 507150 511014 514188 518420 521640 529000 529200 533232 540960 543375 547515 547722 555450 558900 559682 563500 567000 571320 579600 584016 588000 592480 595125 595350 596183 599886 608350 608580 621000 622104 625968 634800 635040 642735 644000 648025 652050 657018 661500 666540 676200 680400 681352 685584 695520 698625 699867 714150 724500 730020 730296 740600 745200 756000 760725 761760 766521 777630 782460 793500 793800 799848 811440 828000 829472 833175 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5292000 5332320 5356125 5365647 5475150 5477220 5554500 5589000 5596820 5598936 5713200 5796000 5832225 5840160 5876661 5913162 5953500 5961830 5998860 6083500 6085800 6132168 6221040 6259680 6298803 6348000 6387675 6427350 6480250 6520500 6570180 6665400 6716184 6762000 6804000 6813520 6846525 6855840 6898689 6996025 6998670 7141500 7154196 7198632 7300200 7302960 7406000 7452000 7465248 7498575 7555707 7607250 7665210 7776300 7824600 7835548 7884216 7938000 7998480 8114400 8176224 8212725 8331750 8395230 8398404 8516900 8569800 8694000 8760240 8763552 8887200 8942745 8954912 8998290 9125250 9128700 9198252 9331560 9522000 9525600 9538928 9598176 9720375 9733600 9780750 9794435 9855270 9998100 10074276 10143000 10220280 10283760 10368400 10432800 10498005 10512288 10646125 10712250 10731294 10950300 10954440 11109000 11178000 11193640 11197872 11410875 11426400 11497815 11664450 11753322 11826324 11907000 11923660 11997720 12167000 12171600 12264336 12442080 12497625 12592845 12597606 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894274500 899829000 906684840 919825200 933156000 940265760 944463375 952019082 965816460 979443500 985527000 987279048 1007427600 1007808480 1022028000 1028415675 1034803350 1049800500 1057798980 1073129400 1088021808 1095444000 1096976720 1103790240 1110688929 1119364000 1133356050 1149781500 1158979752 1175332200 1182632400 1192366000 1199772000 1207270575 1208913120 1234098810 1259284500 1259760600 1269358776 1287755280 1314036000 1316372064 1322248725 1341411750 1360027260 1371220900 1379737800 1399734000 1410398640 1430839200 1448724690 1469165250 1478290500 1480918572 1511141400 1533042000 1545306336 1567109600 1574700750 1586698470 1609694100 1645465080 1655685360 1679046000 1679680800 1692478368 1700034075 1714026125 1724672250 1762998300 1788549000 1799658000 1813369680 1839650400 1851148215 1888926750 1904038164 1931632920 1958887000 1971054000 1974558096 2012117625 2014855200 2056831350 2069606700 2099601000 2115597960 2146258800 2176043616 2193953440 2203747875 2221377858 2266712100 2299563000 2317959504 2350664400 2365264800 2380047705 2384732000 2414541150 2468197620 2518569000 2519521200 2538717552 2575510560 2587008375 2644497450 2682823500 2720054520 2742441800 2759475600 2799468000 2820797280 2833390125 2897449380 2938330500 2956581000 2961837144 3022282800 3066084000 3085247025 3149401500 3173396940 3219388200 3290930160 3311370720 3332066787 3358092000 3400068150 3428052250 3449344500 3525996600 3577098000 3599316000 3621811725 3626739360 3702296430 3777853500 3808076328 3863265840 3917774000 3942108000 3949116192 3966746175 4024235250 4113662700 4139213400 4199202000 4231195920 4292517600 4407495750 4442755716 4533424200 4599126000 4635919008 4701328800 4760095410 4829082300 4936395240 5037138000 5039042400 5077435104 5142078375 5174016750 5288994900 5365647000 5440109040 5484883600 5518951200 5553444645 5666780250 5794898760 5876661000 5913162000 5923674288 6036352875 6044565600 6170494050 6298803000 6346793880 6438776400 6581860320 6611243625 6664133574 6800136300 6856104500 6898689000 7051993200 7154196000 7243623450 7404592860 7555707000 7616152656 7726531680 7835548000 7933492350 8048470500 8227325400 8278426800 8398404000 8462391840 8500170375 8814991500 8885511432 9066848400 9198252000 9255741075 9520190820 9658164600 9872790480 10074276000 10284156750 10348033500 10577989800 10731294000 10880218080 10969767200 11106889290 11333560500 11589797520 11753322000 11826324000 11847348576 11900238525 12072705750 12340988100 12597606000 12693587760 12877552800 13222487250 13328267148 13600272600 13712209000 13797378000 14103986400 14487246900 14809185720 15111414000 15232305312 15426235125 15866984700 16096941000 16454650800 16556853600 16660333935 17000340750 17629983000 17771022864 18109058625 18133696800 18511482150 19040381640 19316329200 19745580960 19833730875 20568313500 20696067000 21155979600 21462588000 22213778580 22667121000 23179595040 23506644000 23800477050 24145411500 24681976200 25195212000 25387175520 26444974500 26656534296 27200545200 27424418000 27594756000 27767223225 28974493800 29618371440 30222828000 30852470250 31733969400 32193882000 32909301600 33320667870 34000681500 35259966000 35542045728 36218117250 37022964300 38080763280 38632658400 39667461750 41136627000 41392134000 42311959200 44427557160 45334242000 46278705375 47600954100 48290823000 49363952400 52889949000 53313068592 54401090400 54848836000 55534446450 57948987600 59236742880 59501192625 61704940500 63467938800 64387764000 66641335740 68001363000 70519932000 72436234500 74045928600 76161526560 79334923500 82273254000 82784268000 83301669675 88855114320 90668484000 92557410750 95201908200 96581646000 98727904800 105779898000 106626137184 111068892900 115897975200 119002385250 123409881000 126935877600 133282671480 136002726000 138836116125 144872469000 148091857200 158669847000 164546508000 166603339350 177710228640 185114821500 190403816400 193163292000 211559796000 222137785800 238004770500 246819762000 266565342960 272005452000 277672232250 289744938000 296183714400 317339694000 333206678700 370229643000 380807632800 416508348375 444275571600 476009541000 493639524000 533130685920 555344464500 579489876000 634679388000 666413357400 740459286000 833016696750 888551143200 952019082000 1110688929000 1332826714800 1480918572000 1666033393500 1904038164000 2221377858000 2665653429600 3332066787000 4442755716000 6664133574000 13328267148000
- Sum of all divisors σ(n): 59656506711984
- Sum of proper divisors (its aliquot sum) s(n): 46328239563984
- 13328267148000 is an abundant number, because the sum of its proper divisors (46328239563984) is greater than itself. Its abundance is 32999972415984
Bases of 13328267148000
- Binary: 110000011111001110101010000011111010111000002
- Hexadecimal: 0xC1F3AA0FAE0
- Base-36: 4Q2X64U00
Squares and roots of 13328267148000
- 13328267148000 squared (133282671480002) is 177642705168456053904000000
- 13328267148000 cubed (133282671480003) is 2367669431378582629130400345792000000000
-
The
square root of 13328267148000 is 3650789.9347949341 -
The
cube root of 13328267148000 is 23709.6183360213
Scales and comparisons
How big is 13328267148000?- 13,328,267,148,000 seconds is equal to 423,797 years, 34 weeks, 5 days, 6 hours.
-
To count from 1 to 13,328,267,148,000 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 13328267148000 cubic inches would be around 1975.8 feet tall.
Recreational maths with 13328267148000
- 13328267148000 backwards is 00084176282331
- 13328267148000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13328267148000's digits is 45
- More coming soon!
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"Number 13328267148000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 13328267148000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/13328267148000/
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The information we have on file for 13328267148000 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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