1328831683200
1,328,831,683,200 is an even composite number composed of eight prime numbers multiplied together.
1328831683200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 1328831683200:
27 × 32 × 52 × 7 × 17 × 43 × 71 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 17 × 43 × 71 × 127)See below for interesting mathematical facts about the number 1328831683200 from the Numbermatics database.
Names of 1328831683200
- Cardinal: 1328831683200 can be written as One trillion, three hundred twenty-eight billion, eight hundred thirty-one million, six hundred eighty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.3288316832 × 1012
Factors of 1328831683200
Divisors of 1328831683200
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 25 28 30 32 34 35 36 40 42 43 45 48 50 51 56 60 63 64 68 70 71 72 75 80 84 85 86 90 96 100 102 105 112 119 120 126 127 128 129 136 140 142 144 150 153 160 168 170 172 175 180 192 200 204 210 213 215 224 225 238 240 252 254 255 258 272 280 284 288 300 301 306 315 320 336 340 344 350 355 357 360 381 384 387 400 408 420 425 426 430 448 450 476 480 497 504 508 510 516 525 544 560 568 576 595 600 602 612 630 635 639 640 645 672 680 688 700 710 714 720 731 762 765 774 800 816 840 850 852 860 889 896 900 903 952 960 994 1008 1016 1020 1032 1050 1065 1071 1075 1088 1120 1136 1143 1152 1190 1200 1204 1207 1224 1260 1270 1275 1278 1290 1344 1360 1376 1400 1420 1428 1440 1462 1491 1505 1524 1530 1548 1575 1600 1632 1680 1700 1704 1720 1775 1778 1785 1800 1806 1904 1905 1920 1935 1988 2016 2032 2040 2064 2100 2130 2142 2150 2159 2176 2193 2240 2272 2286 2380 2400 2408 2414 2448 2485 2520 2540 2550 2556 2580 2667 2688 2709 2720 2752 2800 2840 2856 2880 2924 2975 2982 3010 3048 3053 3060 3096 3150 3175 3195 3200 3225 3264 3360 3400 3408 3440 3550 3556 3570 3600 3612 3621 3655 3808 3810 3825 3870 3976 4032 4064 4080 4128 4200 4260 4284 4300 4318 4386 4445 4473 4480 4515 4544 4572 4760 4800 4816 4828 4896 4970 5040 5080 5100 5112 5117 5160 5325 5334 5355 5418 5440 5461 5504 5600 5680 5712 5715 5760 5848 5950 5964 6020 6035 6096 6106 6120 6192 6300 6350 6390 6450 6477 6528 6579 6720 6800 6816 6880 7100 7112 7140 7200 7224 7242 7310 7455 7525 7616 7620 7650 7740 7952 8001 8064 8128 8160 8256 8400 8449 8520 8568 8600 8636 8772 8890 8925 8946 9017 9030 9088 9144 9159 9520 9525 9600 9632 9656 9675 9792 9940 10080 10160 10200 10224 10234 10320 10650 10668 10710 10795 10836 10863 10880 10922 10965 11200 11360 11424 11430 11696 11900 11928 12040 12070 12192 12212 12240 12384 12425 12600 12700 12780 12900 12954 13158 13335 13440 13545 13600 13632 13760 14200 14224 14280 14400 14448 14484 14620 14910 15050 15113 15232 15240 15265 15300 15351 15480 15904 15975 16002 16256 16320 16383 16512 16800 16898 17040 17136 17200 17272 17544 17780 17850 17892 18034 18060 18105 18275 18288 18318 19040 19050 19264 19312 19350 19431 19584 19880 20160 20320 20400 20448 20468 20640 21300 21336 21371 21420 21590 21672 21726 21844 21930 22225 22365 22400 22575 22720 22848 22860 23392 23800 23856 24080 24140 24384 24424 24480 24768 24850 25200 25347 25400 25560 25585 25800 25908 26316 26670 26775 27051 27090 27200 27264 27305 27477 27520 28400 28448 28560 28575 28800 28896 28968 29240 29820 30100 30175 30226 30480 30530 30600 30702 30960 31808 31950 32004 32385 32640 32766 32895 33600 33796 34080 34272 34400 34544 35088 35560 35700 35784 36068 36120 36210 36550 36576 36636 37275 38080 38100 38227 38528 38624 38700 38862 39760 40005 40320 40640 40800 40896 40936 41280 42245 42600 42672 42742 42840 43180 43344 43452 43688 43860 44450 44730 45085 45150 45339 45440 45696 45720 45795 46053 46784 47600 47712 48160 48280 48768 48848 48960 49149 49536 49700 50400 50694 50800 51120 51170 51600 51816 51901 52632 53340 53550 53975 54102 54180 54315 54400 54610 54825 54954 56800 56896 57120 57150 57792 57936 58480 59640 60200 60350 60452 60960 61060 61200 61404 61920 63119 63616 63900 64008 64113 64770 65532 65790 66675 67200 67592 67725 68160 68544 68800 69088 70176 71120 71400 71568 72136 72240 72420 73100 73152 73272 74550 75565 76041 76160 76200 76325 76454 76755 77248 77400 77724 79520 80010 81153 81280 81600 81792 81872 81915 82560 84490 85200 85344 85484 85680 86360 86688 86904 87376 87720 88900 89460 90170 90300 90525 90678 91440 91590 92106 92837 93568 95200 95424 96320 96560 97155 97696 97920 98298 99400 100800 101388 101600 102240 102340 103200 103632 103802 105264 106680 106855 107100 107950 108204 108360 108630 109220 109650 109908 111825 113600 113792 114240 114300 114681 115584 115872 116960 119280 120400 120700 120904 121920 122120 122400 122808 123840 126238 126735 127800 127925 128016 128226 129540 131064 131580 133350 135184 135255 135450 136017 136320 136525 137088 137385 137600 138176 140352 142240 142800 143136 144272 144480 144840 146200 146304 146544 149100 151130 152082 152400 152650 152908 153289 153510 154496 154800 155448 155703 159040 160020 161925 162306 163200 163744 163830 164475 168980 170400 170688 170968 171360 172720 173376 173808 174752 175440 177800 178920 180340 180600 181050 181356 182880 183180 184212 185674 189357 190400 190848 191135 192339 192640 193120 194310 195392 196596 198800 200025 201600 202776 203200 204480 204680 206400 207264 207604 210528 211225 213360 213710 214200 215900 216408 216720 217260 218440 219300 219816 223650 225425 226695 227200 228480 228600 228975 229362 230265 231744 233920 238560 240800 241400 241808 243840 244240 244800 245616 245745 247680 252476 253470 255600 255850 256032 256452 259080 259505 262128 263160 266700 270368 270510 270900 271575 272034 273050 274770 276352 278511 280704 284480 285600 286272 288544 288960 289680 292400 293088 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20198080 20277600 20516160 20726400 20760400 20795488 20888325 21052800 21460460 21640800 21712936 21762720 21798420 21981600 22018752 22073616 22280880 22722840 22936200 22993350 23251648 23263860 23355450 23394924 24180800 24237696 24333120 24427053 24465280 24526240 24561600 24619392 24814784 24912480 25247600 25603200 25645200 25752552 25968960 25994360 26158104 26212800 26365708 26737056 26825575 27036800 27141170 27203400 27248025 27523440 27592020 27851100 27916632 28403550 28854400 29016960 29064560 29079825 29243655 29308800 29431488 29473920 29707840 29894976 30297120 30416400 30581600 30657800 30774240 31018480 31089600 31140600 31193232 31455360 32190690 32461200 32492950 32569404 32697630 32957135 33216640 33421320 34193600 34336736 34404300 34490025 34761600 34877472 34895790 35649408 36271200 36330700 36356544 36697920 36789360 36842400 37134800 37222176 37368720 37871400 38467800 38628828 38773100 38991540 39319200 39548562 40396160 40555200 40711755 41032320 41520800 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92279978 93055440 93421800 93579696 96572070 97478850 97708212 98104960 98871405 99649920 100990400 102580800 103010208 103977440 104632416 105462832 106948224 107302300 108564680 108813600 108992100 110093760 110368080 111404400 111666528 113614200 116258240 116319300 116974620 118645686 121188480 121665600 122135265 122326400 122631200 123096960 124073920 124562400 124772928 128762760 129844800 129971800 130277616 130790520 131828540 133685280 135705850 137346944 137617200 137960100 138419967 139509888 139583160 145084800 145322800 146218275 147157440 147369600 148539200 148888704 149474880 151485600 153871200 154515312 155092400 155966160 157276800 158194248 160953450 162847020 163488150 164785675 166083200 167106600 171683680 173703488 174387360 174478950 176588928 178247040 181782720 183489600 183946800 184559956 186110880 186843600 187159392 193144140 194957700 195416424 197742810 201980800 203558775 205161600 206020416 207954880 209264832 210925664 214604600 217129360 217627200 217984200 220187520 220736160 222808800 223333056 227228400 230699945 232516480 232638600 233949240 237291372 241430175 243331200 244270530 245262400 248147840 249124800 249545856 257525520 259689600 259943600 260555232 261581040 263657080 267370560 271411700 275234400 275920200 276839934 279166320 290645600 292436550 294314880 296614215 297078400 298949760 302971200 307742400 309030624 310184800 311932320 316388496 321906900 325694040 326976300 329571350 334213200 343367360 347406976 348774720 348957900 363565440 366979200 367893600 369119912 372221760 373687200 374318784 386288280 389915400 390832848 395485620 407117550 412040832 415259901 415909760 418529664 421851328 429209200 434258720 435254400 435968400 441472320 445617600 446666112 454456800 461399890 465277200 467898480 474582744 482860350 488541060 490524800 494357025 498249600 515051040 519887200 521110464 523162080 527314160 534741120 542823400 550468800 551840400 553679868 558332640 581291200 584873100 593228430 605942400 610676325 615484800 618061248 620369600 623864640 632776992 643813800 651388080 653952600 659142700 668426400 686734720 692099835 697549440 697915800 735787200 738239824 744443520 747374400 748637568 772576560 779830800 781665696 790971240 814235100 830519802 843702656 858418400 868517440 871936800 882944640 891235200 908913600 922799780 930554400 935796960 949165488 965720700 977082120 988714050 1030102080 1039774400 1042220928 1046324160 1054628320 1085646800 1100937600 1103680800 1107359736 1116665280 1153499725 1162582400 1169746200 1186456860 1221352650 1236122496 1240739200 1247729280 1265553984 1287627600 1302776160 1307905200 1318285400 1336852800 1384199670 1395831600 1471574400 1476479648 1483071075 1494748800 1545153120 1559661600 1563331392 1581942480 1628470200 1661039604 1716836800 1737034880 1743873600 1817827200 1845599560 1861108800 1871593920 1898330976 1931441400 1954164240 1977428100 2060204160 2076299505 2079548800 2092648320 2109256640 2171293600 2207361600 2214719472 2233330560 2306999450 2339492400 2372913720 2442705300 2531107968 2575255200 2605552320 2615810400 2636570800 2673705600 2768399340 2791663200 2952959296 2966142150 3090306240 3119323200 3126662784 3163884960 3256940400 3322079208 3433673600 3460499175 3487747200 3691199120 3722217600 3743187840 3796661952 3862882800 3908328480 3954856200 4152599010 4218513280 4342587200 4414723200 4429438944 4613998900 4678984800 4745827440 4885410600 5150510400 5211104640 5231620800 5273141600 5536798680 5583326400 5905918592 5932284300 6180612480 6238646400 6327769920 6513880800 6644158416 6920998350 7382398240 7593323904 7725765600 7816656960 7909712400 8305198020 8685174400 8858877888 9227997800 9357969600 9491654880 9770821200 10301020800 10381497525 10463241600 10546283200 11073597360 11166652800 11864568600 12655539840 13027761600 13288316832 13841996700 14764796480 15451531200 15633313920 15819424800 16610396040 17717755776 18455995600 18715939200 18983309760 19541642400 20762995050 21092566400 22147194720 23729137200 26055523200 26576633664 27683993400 29529592960 30903062400 31638849600 33220792080 36911991200 37966619520 39083284800 41525990100 44294389440 47458274400 53153267328 55367986800 63277699200 66441584160 73823982400 78166569600 83051980200 88588778880 94916548800 110735973600 132883168320 147647964800 166103960400 189833097600 221471947200 265766336640 332207920800 442943894400 664415841600 1328831683200
- Sum of all divisors σ(n): 6000713072640
- Sum of proper divisors (its aliquot sum) s(n): 4671881389440
- 1328831683200 is an abundant number, because the sum of its proper divisors (4671881389440) is greater than itself. Its abundance is 3343049706240
Bases of 1328831683200
- Binary: 100110101011001001000101001011010100000002
- Hexadecimal: 0x135648A5A80
- Base-36: GYGG2OW0
Squares and roots of 1328831683200
- 1328831683200 squared (13288316832002) is 1765793642276145162240000
- 1328831683200 cubed (13288316832003) is 2346442537849668655146916282368000000
-
The
square root of 1328831683200 is 1152749.6186076141 -
The
cube root of 1328831683200 is 10994.0234288517
Scales and comparisons
How big is 1328831683200?- 1,328,831,683,200 seconds is equal to 42,252 years, 38 weeks, 2 days, 8 hours.
-
To count from 1 to 1,328,831,683,200 would take you about one hundred five thousand, six hundred thirty-one 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 1328831683200 cubic inches would be around 916.2 feet tall.
Recreational maths with 1328831683200
- 1328831683200 backwards is 0023861388231
- 1328831683200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 1328831683200's digits is 45
- More coming soon!
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MLA style:
"Number 1328831683200 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 1328831683200 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/1328831683200/
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The information we have on file for 1328831683200 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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