13679973465804800
13,679,973,465,804,800 is an even composite number composed of five prime numbers multiplied together.
13679973465804800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 13679973465804800:
212 × 52 × 72 × 113 × 1273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 127 × 127 × 127)See below for interesting mathematical facts about the number 13679973465804800 from the Numbermatics database.
Names of 13679973465804800
- Cardinal: 13679973465804800 can be written as Thirteen quadrillion, six hundred seventy-nine trillion, nine hundred seventy-three billion, four hundred sixty-five million, eight hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36799734658048 × 1016
Factors of 13679973465804800
Divisors of 13679973465804800
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 121 127 128 140 154 160 175 176 196 200 220 224 242 245 254 256 275 280 308 320 350 352 385 392 400 440 448 484 490 508 512 539 550 560 605 616 635 640 700 704 770 784 800 847 880 889 896 968 980 1016 1024 1078 1100 1120 1210 1225 1232 1270 1280 1331 1397 1400 1408 1540 1568 1600 1694 1760 1778 1792 1925 1936 1960 2032 2048 2156 2200 2240 2420 2450 2464 2540 2560 2662 2695 2794 2800 2816 3025 3080 3136 3175 3200 3388 3520 3556 3584 3850 3872 3920 4064 4096 4235 4312 4400 4445 4480 4840 4900 4928 5080 5120 5324 5390 5588 5600 5632 5929 6050 6160 6223 6272 6350 6400 6655 6776 6985 7040 7112 7168 7700 7744 7840 8128 8470 8624 8800 8890 8960 9317 9680 9779 9800 9856 10160 10240 10648 10780 11176 11200 11264 11858 12100 12320 12446 12544 12700 12800 13310 13475 13552 13970 14080 14224 14336 15367 15400 15488 15680 16129 16256 16940 17248 17600 17780 17920 18634 19360 19558 19600 19712 20320 20480 21175 21296 21560 22225 22352 22400 22528 23716 24200 24640 24892 25088 25400 25600 26620 26950 27104 27940 28160 28448 28672 29645 30734 30800 30976 31115 31360 32258 32512 33275 33880 34496 34925 35200 35560 35840 37268 38720 39116 39200 39424 40640 42350 42592 43120 44450 44704 44800 45056 46585 47432 48400 48895 49280 49784 50176 50800 51200 53240 53900 54208 55880 56320 56896 59290 61468 61600 61952 62230 62720 64516 65024 65219 66550 67760 68453 68992 69850 70400 71120 71680 74536 76835 77440 78232 78400 78848 80645 81280 84700 85184 86240 88900 89408 89600 93170 94864 96800 97790 98560 99568 100352 101600 102400 106480 107569 107800 108416 111760 112640 112903 113792 118580 122936 123200 123904 124460 125440 129032 130048 130438 133100 135520 136906 137984 139700 140800 142240 143360 148225 149072 153670 154880 155575 156464 156800 157696 161290 162560 169037 169400 170368 172480 177419 177800 178816 179200 186340 189728 193600 195580 197120 199136 200704 203200 212960 215138 215600 216832 223520 225280 225806 227584 232925 237160 244475 245872 246400 247808 248920 250880 258064 260096 260876 266200 271040 273812 275968 279400 281600 284480 296450 298144 307340 309760 311150 312928 313600 315392 322580 325120 326095 338074 338800 340736 342265 344960 354838 355600 357632 358400 372680 379456 384175 387200 391160 394240 398272 403225 406400 425920 430276 431200 433664 447040 451612 455168 465850 474320 488950 491744 492800 495616 497840 501760 516128 520192 521752 532400 537845 542080 547624 551936 558800 563200 564515 568960 592900 596288 614680 619520 622300 625856 627200 645160 650240 652190 676148 677600 681472 684530 689920 709676 711200 715264 716800 745360 752983 758912 768350 774400 782320 788480 790321 796544 806450 812800 845185 851840 860552 862400 867328 887095 894080 903224 910336 931700 948640 977900 983488 985600 995680 1003520 1032256 1043504 1064800 1075690 1084160 1095248 1103872 1117600 1126400 1129030 1137920 1183259 1185800 1192576 1229360 1239040 1241933 1244600 1251712 1254400 1290320 1300480 1304380 1352296 1355200 1362944 1369060 1379840 1419352 1422400 1430528 1490720 1505966 1517824 1536700 1548800 1564640 1576960 1580642 1593088 1612900 1625600 1630475 1690370 1703680 1711325 1721104 1724800 1734656 1774190 1788160 1806448 1820672 1863400 1897280 1951609 1955800 1966976 1971200 1991360 2048383 2064512 2087008 2129600 2151380 2168320 2190496 2207744 2235200 2258060 2275840 2366518 2371600 2385152 2458720 2478080 2483866 2489200 2503424 2508800 2580640 2600960 2608760 2689225 2704592 2710400 2725888 2738120 2759680 2822575 2838704 2844800 2861056 2981440 3011932 3035648 3073400 3097600 3129280 3161284 3186176 3225800 3251200 3260950 3380740 3407360 3422650 3442208 3449600 3469312 3548380 3576320 3612896 3641344 3726800 3764915 3794560 3903218 3911600 3933952 3942400 3951605 3982720 4096766 4129024 4174016 4225925 4259200 4302760 4336640 4380992 4435475 4470400 4516120 4551680 4733036 4743200 4770304 4917440 4967732 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17523968 17741900 17881600 18064480 18206720 18824575 18932144 18972800 19081216 19516090 19669760 19758025 19870928 19913600 20027392 20483830 20645120 20870080 21467699 21513800 21636736 21683200 21904960 22532213 22580600 22709632 22758400 23665180 23851520 24095456 24285184 24587200 24838660 25034240 25290272 25489408 25806400 26087600 27045920 27258880 27322526 27381200 27537664 27596800 28387040 28610560 28677362 28903168 29581475 29814400 30119320 30356480 31048325 31225744 31292800 31471616 31612840 31861760 32774128 33032192 33131252 33392128 33807400 34073600 34422080 34774124 35047936 35483800 35763200 36128960 37649150 37864288 37945600 38162432 39032180 39339520 39516050 39741856 39827200 40054784 40967660 41290240 41414065 41740160 42935398 43027600 43273472 43366400 43467655 43809920 45064426 45161200 45419264 45516800 47330360 47703040 48190912 48790225 49174400 49677320 50068480 50580544 51209575 51612800 52175200 54091840 54645052 54762400 55075328 55193600 56774080 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79313389760 80296613600 80755451392 80928870400 84153380080 84816005120 86749020050 87244728736 87432083200 87931695104 88326274960 89021757440 91767558400 92291944448 95423922055 96175291520 97158902456 97923933184 99141737200 99922380800 100944314240 102779665408 104877209600 105191725100 106020006400 109055910920 109914618880 110407843700 111038745664 111277196800 115364930560 120219114400 121165721600 121448628070 122404916480 126180392800 126901423616 127173939200 128474581760 133593490877 134645408128 136319888650 137393273600 138798432080 139891333120 141322039936 144206163200 146828093440 152678275288 153006145600 153880466432 158626779520 160593227200 161510902784 168306760160 169632010240 173498040100 174489457472 174864166400 176652549920 178043514880 183535116800 190847844110 192350583040 194317804912 195847866368 198283474400 199844761600 201888628480 205559330816 209754419200 210383450200 212040012800 218111821840 219829237760 220815687400 222077491328 222554393600 230729861120 240438228800 242897256140 244809832960 252360785600 253802847232 256949163520 267186981754 269290816256 272639777300 274786547200 277596864160 279782666240 282644079872 288412326400 293656186880 303621570175 305356550576 306012291200 307760932864 317253559040 321186454400 323021805568 336613520320 346996080200 348978914944 349728332800 353305099840 367070233600 381695688220 384701166080 388635609824 391695732736 396566948800 403777256960 411118661632 420766900400 424080025600 436223643680 439658475520 441631374800 444154982656 445108787200 461459722240 477119610275 480876457600 485794512280 489619665920 504721571200 507605694464 513898327040 534373963508 538581632512 545279554600 549573094400 555193728320 565288159744 576824652800 607243140350 610713101152 612024582400 615521865728 634507118080 642372908800 646043611136 667967454385 673227040640 693992160400 697957829888 699456665600 706610199680 734140467200 763391376440 769402332160 777271219648 793133897600 807554513920 841533800800 848160051200 872447287360 883262749600 888309965312 890217574400 954239220550 961752915200 971589024560 979239331840 1009443142400 1015211388928 1027796654080 1068747927016 1077163265024 1090559109200 1099146188800 1110387456640 1130576319488 1153649305600 1214486280700 1221426202304 1224049164800 1269014236160 1284745817600 1335934908770 1346454081280 1387984320800 1395915659776 1398913331200 1413220399360 1468280934400 1526782752880 1538804664320 1554542439296 1586267795200 1615109027840 1683067601600 1744894574720 1766525499200 1776619930624 1908478441100 1923505830400 1943178049120 1958478663680 2018886284800 2055593308160 2137495854032 2154326530048 2181118218400 2198292377600 2220774913280 2261152638976 2307298611200 2428972561400 2442852404608 2448098329600 2538028472320 2569491635200 2671869817540 2692908162560 2775968641600 2791831319552 2826440798720 3053565505760 3077609328640 3109084878592 3172535590400 3230218055680 3339837271925 3366135203200 3489789149440 3533050998400 3553239861248 3816956882200 3847011660800 3886356098240 4037772569600 4274991708064 4308653060096 4362236436800 4441549826560 4522305277952 4857945122800 4885704809216 4896196659200 5076056944640 5138983270400 5343739635080 5385816325120 5551937283200 5583662639104 5652881597440 6107131011520 6218169757184 6345071180800 6679674543850 6732270406400 6979578298880 7066101996800 7106479722496 7633913764400 7694023321600 7772712196480 8075545139200 8549983416128 8724472873600 8883099653120 9715890245600 9771409618432 9792393318400 10277966540800 10687479270160 10771632650240 11103874566400 11167325278208 11305763194880 12214262023040 12436339514368 12690142361600 13359349087700 13464540812800 13959156597760 14132203993600 15267827528800 15388046643200 15545424392960 16151090278400 17099966832256 17448945747200 17766199306240 19431780491200 19542819236864 21374958540320 21543265300480 22207749132800 22611526389760 24428524046080 24872679028736 25380284723200 26718698175400 26929081625600 27918313195520 28264407987200 30535655057600 31090848785920 34199933664512 34897891494400 35532398612480 38863560982400 39085638473728 42749917080640 44415498265600 48857048092160 49745358057472 53437396350800 53858163251200 55836626391040 56528815974400 61071310115200 62181697571840 68399867329024 69795782988800 77727121964800 78171276947456 85499834161280 88830996531200 97714096184320 106874792701600 107716326502400 113057631948800 122142620230400 124363395143680 136799734658048 139591565977600 155454243929600 170999668322560 177661993062400 195428192368640 213749585403200 244285240460800 248726790287360 273599469316096 279183131955200 310908487859200 341999336645120 390856384737280 427499170806400 488570480921600 547198938632192 621816975718400 683998673290240 854998341612800 977140961843200 1243633951436800 1367997346580480 1709996683225600 1954281923686400 2735994693160960 3419993366451200 6839986732902400 13679973465804800
- Sum of all divisors σ(n): 43748069078661120
- Sum of proper divisors (its aliquot sum) s(n): 30068095612856320
- 13679973465804800 is an abundant number, because the sum of its proper divisors (30068095612856320) is greater than itself. Its abundance is 16388122147051520
Bases of 13679973465804800
- Binary: 1100001001100111011101000001101111011101010000000000002
- Hexadecimal: 0x3099DD06F75000
- Base-36: 3QP591V3BI8
Squares and roots of 13679973465804800
- 13679973465804800 squared (136799734658048002) is 187141674025123391514911703040000
- 13679973465804800 cubed (136799734658048003) is 2560093135009979358530217554896360772206592000000
-
The
square root of 13679973465804800 is 116961418.7063614583 -
The
cube root of 13679973465804800 is 239163.6016559065
Scales and comparisons
How big is 13679973465804800?- 13,679,973,465,804,800 seconds is equal to 434,980,841 years, 14 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,679,973,465,804,800 would take you about one billion, three hundred four million, nine hundred forty-two thousand, five hundred twenty-three 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 13679973465804800 cubic inches would be around 19930.3 feet tall.
Recreational maths with 13679973465804800
- 13679973465804800 backwards is 00840856437997631
- 13679973465804800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13679973465804800's digits is 80
- More coming soon!
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"Number 13679973465804800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 13679973465804800 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/13679973465804800/
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Numbermatics. 2024. "Number 13679973465804800 - Facts about the integer". https://numbermatics.com/n/13679973465804800/
The information we have on file for 13679973465804800 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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