13979982144960
13,979,982,144,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 13979982144960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2016 divisors.
13979982144960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13979982144960:
26 × 37 × 5 × 132 × 172 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 17 × 17 × 409)See below for interesting mathematical facts about the number 13979982144960 from the Numbermatics database.
Names of 13979982144960
- Cardinal: 13979982144960 can be written as Thirteen trillion, nine hundred seventy-nine billion, nine hundred eighty-two million, one hundred forty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.397998214496 × 1013
Factors of 13979982144960
Divisors of 13979982144960
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 27 30 32 34 36 39 40 45 48 51 52 54 60 64 65 68 72 78 80 81 85 90 96 102 104 108 117 120 130 135 136 144 153 156 160 162 169 170 180 192 195 204 208 216 221 234 240 243 255 260 270 272 288 289 306 312 320 324 338 340 351 360 390 405 408 409 416 432 442 459 468 480 486 507 510 520 540 544 576 578 585 612 624 648 663 676 680 702 720 729 765 780 810 816 818 832 845 864 867 884 918 936 960 972 1014 1020 1040 1053 1080 1088 1105 1156 1170 1215 1224 1227 1248 1296 1326 1352 1360 1377 1404 1440 1445 1458 1521 1530 1560 1620 1632 1636 1690 1728 1734 1755 1768 1836 1872 1944 1989 2028 2040 2045 2080 2106 2160 2187 2210 2295 2312 2340 2430 2448 2454 2496 2535 2592 2601 2652 2704 2720 2754 2808 2873 2880 2890 2916 3042 3060 3120 3159 3240 3264 3272 3315 3380 3468 3510 3536 3645 3672 3681 3744 3757 3888 3978 4056 4080 4090 4131 4160 4212 4320 4335 4374 4420 4563 4590 4624 4680 4860 4896 4908 5070 5184 5202 5265 5304 5317 5408 5440 5508 5616 5746 5780 5832 5967 6084 6120 6135 6240 6318 6480 6544 6630 6760 6885 6936 6953 7020 7072 7290 7344 7362 7488 7514 7605 7776 7803 7956 8112 8160 8180 8262 8424 8619 8640 8670 8748 8840 9126 9180 9248 9360 9477 9720 9792 9816 9945 10140 10404 10530 10608 10634 10816 10935 11016 11043 11232 11271 11492 11560 11664 11934 12168 12240 12270 12393 12480 12636 12960 13005 13088 13260 13520 13689 13770 13872 13906 14040 14144 14365 14580 14688 14724 15028 15210 15552 15606 15795 15912 15951 16224 16320 16360 16524 16848 17238 17340 17496 17680 17901 18252 18360 18405 18496 18720 18785 18954 19440 19632 19890 20280 20655 20808 20859 21060 21216 21268 21870 22032 22086 22464 22542 22815 22984 23120 23328 23409 23868 24336 24480 24540 24786 25272 25857 25920 26010 26176 26520 26585 27040 27378 27540 27744 27812 28080 28431 28730 29160 29376 29448 29835 30056 30420 31212 31590 31824 31902 32448 32720 33048 33129 33696 33813 34476 34680 34765 34992 35360 35802 36504 36720 36810 37179 37440 37570 37908 38880 39015 39264 39780 40560 41067 41310 41616 41718 42120 42432 42536 43095 43740 44064 44172 45084 45630 45968 46240 46656 46818 47385 47736 47853 48672 48841 48960 49080 49572 50544 51714 52020 53040 53170 53703 54080 54756 55080 55215 55488 55624 56160 56355 56862 57460 58320 58896 59670 60112 60840 61965 62424 62577 63180 63648 63804 65440 66096 66258 67392 67626 68445 68952 69121 69360 69530 69984 70227 70720 71604 73008 73440 73620 74358 75140 75816 77571 77760 78030 78528 79560 79755 81120 82134 82620 83232 83436 84240 85072 86190 87480 88128 88344 89505 90168 90389 91260 91936 92480 93636 94770 95472 95706 97344 97682 98160 99144 99387 101088 101439 103428 104040 104295 106080 106340 107406 109512 110160 110430 111248 112320 112710 113724 114920 116640 117045 117792 118201 119340 120224 121680 123201 123930 124848 125154 126360 127296 127608 129285 130880 132192 132516 135252 136890 137904 138242 138720 139060 139968 140454 142155 143208 143559 146016 146523 146880 147240 148716 150280 151632 155142 156060 159120 159510 161109 162240 164268 165240 165645 166464 166872 168480 169065 170144 172380 174960 176688 179010 180336 180778 182520 183872 185895 187272 187731 189540 190944 191412 195364 196320 198288 198774 202176 202878 205335 206856 207363 208080 208590 210681 212160 212680 214812 219024 220320 220860 222496 225420 227448 229840 232713 233280 234090 235584 236402 238680 239265 240448 243360 244205 246402 247860 249696 250308 252720 255216 258570 264384 265032 268515 270504 271167 273780 275808 276484 277440 278120 280908 284310 286416 287118 292032 293046 294480 297432 298161 300560 303264 304317 310284 312120 312885 318240 319020 322218 328536 330480 331290 333744 336960 338130 340288 344760 345605 349920 351135 353376 354603 358020 360672 361556 365040 369603 371790 374544 375462 379080 381888 382824 387855 390728 392640 396576 397548 405756 410670 413712 414726 416160 417180 421362 425360 429624 430677 438048 439569 440640 441720 444992 450840 451945 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82977102 83776680 83982015 84397248 84604104 85104720 86168529 86773440 87643296 87858108 89580816 90110880 92196780 93026232 94004560 94946904 95179617 95411520 95742810 97381440 97620120 98343232 99534240 99879845 100532016 100778418 101126880 101374740 102125664 103362480 105496560 105755130 106815267 108133056 109554120 109822635 110636136 111702240 111976020 112805472 113472960 114891372 116282790 117144144 118272960 118683630 119441088 119855814 121649688 122929040 124034976 124465653 125665020 126595872 126906156 127657080 130160160 131464944 131787162 134042688 134371224 135166320 137816640 138295170 140662080 141006840 142420356 143117280 143614215 146072160 146430180 147514848 149301360 151167627 152062110 153188496 154664640 155043720 156192192 158244840 158632695 159807752 162199584 164331180 165954204 167553360 167964030 169208208 170209440 172337058 175286592 175716216 178025445 179161632 179783721 180221760 184393560 186052464 188009120 189893808 190359234 191485620 195240240 197680743 199068480 199759690 201064032 201556836 202253760 202749480 204251328 206724960 207442755 210993120 211510260 213630534 219108240 219645270 221272272 223404480 223952040 225610944 229782744 232565580 234288288 237367260 239711628 243299376 245858080 248069952 248931306 251330040 251946045 253191744 253812312 255314160 258505587 260320320 262929888 263574324 268742448 270332640 276590340 282013680 284840712 285538851 286234560 287228430 292144320 292860360 295029696 298602720 299639535 302335254 304124220 306376992 310087440 316489680 317265390 319615504 324399168 328662360 329467905 331908408 335106720 335928060 338416416 340418880 344674116 351432432 356050890 358323264 359567442 368787120 372104928 373396959 376018240 379787616 380718468 382971240 390480480 395361486 399519380 402128064 403113672 405498960 413449920 414885510 421986240 423020520 427261068 430842645 438216480 439290540 442544544 447904080 459565488 465131160 468576576 474734520 475898085 479423256 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4425445440 4480763508 4568621616 4595654880 4794232560 4837364064 4854160467 4865987520 4978626120 5076246240 5139699318 5170111740 5271486480 5374848960 5393511630 5514785856 5600954385 5696814240 5710777020 5753079072 5974351344 6046705080 6091495488 6325783776 6392310080 6472213956 6638168160 6721145262 6836177088 6852932424 6893482320 7028648640 7191348840 7467939180 7614369360 7907229720 7965801792 8062273440 8090267445 8272178784 8545221360 8566165530 8629618608 8961527016 9137243232 9191309760 9588465120 9674728128 9708320934 9957252240 10152492480 10279398636 10340223480 10542972960 10787023260 11201908770 11393628480 11421554040 11506158144 11948702688 12093410160 12651567552 12849248295 12944427912 13276336320 13442290524 13705864848 13786964640 14382697680 14562481401 14935878360 15228738720 15814459440 16124546880 16180534890 16544357568 16802863155 17090442720 17132331060 17259237216 17923054032 18274486464 19176930240 19416641868 19914504480 20558797272 20680446960 21085945920 21574046520 22403817540 22843108080 23897405376 24186820320 24270802335 25698496590 25888855824 26884581048 27411729696 27573929280 28765395360 29124962802 29871756720 30457477440 31628918880 32361069780 33605726310 34180885440 34264662120 34518474432 35846108064 38833283736 39829008960 41117594544 41360893920 43148093040 43687444203 44807635080 45686216160 48373640640 48541604670 51396993180 51777711648 53769162096 54823459392 57530790720 58249925604 59743513440 63257837760 64722139560 67211452620 68529324240 71692216128 72812407005 77666567472 82235189088 82721787840 86296186080 87374888406 89615270160 91372432320 97083209340 102793986360 103555423296 107538324192 116499851208 119487026880 129444279120 134422905240 137058648480 145624814010 155333134944 164470378176 172592372160 174749776812 179230540320 194166418680 205587972720 215076648384 218437221015 232999702416 258888558240 268845810480 274117296960 291249628020 310666269888 349499553624 358461080640 388332837360 411175945440 436874442030 465999404832 517777116480 537691620960 582499256040 698999107248 776665674720 822351890880 873748884060 931998809664 1075383241920 1164998512080 1397998214496 1553331349440 1747497768120 2329997024160 2795996428992 3494995536240 4659994048320 6989991072480 13979982144960
- Sum of all divisors σ(n): 57570783105600
- Sum of proper divisors (its aliquot sum) s(n): 43590800960640
- 13979982144960 is an abundant number, because the sum of its proper divisors (43590800960640) is greater than itself. Its abundance is 29610818815680
Bases of 13979982144960
- Binary: 110010110110111101111101111010100101110000002
- Hexadecimal: 0xCB6F7DEA5C0
- Base-36: 4YEBCF000
Squares and roots of 13979982144960
- 13979982144960 squared (139799821449602) is 195439900773400402453401600
- 13979982144960 cubed (139799821449603) is 2732246323224891721203432546416295936000
-
The
square root of 13979982144960 is 3738981.4314810389 -
The
cube root of 13979982144960 is 24089.9300485397
Scales and comparisons
How big is 13979982144960?- 13,979,982,144,960 seconds is equal to 444,520 years, 9 weeks, 5 days, 21 hours, 36 minutes.
-
To count from 1 to 13,979,982,144,960 would take you about one million, one hundred eleven thousand, three hundred 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 13979982144960 cubic inches would be around 2007.5 feet tall.
Recreational maths with 13979982144960
- 13979982144960 backwards is 06944128997931
- 13979982144960 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13979982144960's digits is 72
- More coming soon!
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"Number 13979982144960 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 13979982144960 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13979982144960/
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The information we have on file for 13979982144960 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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