13985379544320
13,985,379,544,320 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13985379544320 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2016 divisors.
13985379544320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 13985379544320:
28 × 36 × 5 × 17 × 61 × 97 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 17 × 61 × 97 × 149)See below for interesting mathematical facts about the number 13985379544320 from the Numbermatics database.
Names of 13985379544320
- Cardinal: 13985379544320 can be written as Thirteen trillion, nine hundred eighty-five billion, three hundred seventy-nine million, five hundred forty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.398537954432 × 1013
Factors of 13985379544320
Divisors of 13985379544320
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 61 64 68 72 80 81 85 90 96 97 102 108 120 122 128 135 136 144 149 153 160 162 170 180 183 192 194 204 216 240 243 244 255 256 270 272 288 291 298 305 306 320 324 340 360 366 384 388 405 408 432 447 459 480 485 486 488 510 540 544 549 576 582 596 610 612 640 648 680 720 729 732 745 765 768 776 810 816 864 873 894 915 918 960 970 972 976 1020 1037 1080 1088 1098 1152 1164 1192 1215 1220 1224 1280 1296 1341 1360 1377 1440 1455 1458 1464 1490 1530 1552 1620 1632 1647 1649 1728 1746 1788 1830 1836 1920 1940 1944 1952 2040 2074 2160 2176 2196 2235 2295 2304 2328 2384 2430 2440 2448 2533 2592 2619 2682 2720 2745 2754 2880 2910 2916 2928 2980 3060 3104 3111 3240 3264 3294 3298 3456 3492 3576 3645 3660 3672 3840 3880 3888 3904 4023 4080 4131 4148 4320 4352 4365 4392 4470 4590 4656 4768 4860 4880 4896 4941 4947 5066 5184 5185 5238 5364 5440 5490 5508 5760 5820 5832 5856 5917 5960 6120 6208 6222 6480 6528 6588 6596 6705 6885 6912 6984 7152 7290 7320 7344 7599 7760 7776 7808 7857 8046 8160 8235 8245 8262 8296 8640 8730 8784 8940 9089 9180 9312 9333 9536 9720 9760 9792 9882 9894 10132 10368 10370 10476 10728 10880 10980 11016 11520 11640 11664 11712 11834 11920 12069 12240 12393 12416 12444 12665 12960 13056 13095 13176 13192 13410 13770 13968 14304 14453 14580 14640 14688 14823 14841 15198 15520 15552 15555 15616 15714 16092 16320 16470 16490 16524 16592 17280 17460 17568 17751 17880 18178 18360 18624 18666 19072 19440 19520 19584 19764 19788 20115 20264 20655 20736 20740 20952 21456 21760 21960 22032 22797 23280 23328 23424 23571 23668 23840 24138 24480 24705 24735 24786 24832 24888 25330 25920 26190 26352 26384 26820 27267 27540 27936 27999 28608 28906 29160 29280 29376 29585 29646 29682 30396 31040 31104 31110 31428 32184 32640 32940 32980 33048 33184 34560 34920 35136 35502 35760 36207 36356 36720 37248 37332 37995 38144 38880 39040 39168 39285 39528 39576 40230 40528 41310 41480 41904 42912 43359 43920 44064 44469 44523 45445 45594 46560 46656 46665 46848 47142 47336 47680 48276 48960 49410 49470 49572 49776 50660 51840 52380 52704 52768 53253 53640 54534 55080 55872 55998 57216 57812 58320 58560 58752 59170 59292 59364 60345 60792 61965 62080 62208 62220 62856 64368 65280 65880 65960 66096 66368 68391 69840 70272 70713 71004 71520 72265 72414 72712 73440 74115 74205 74496 74664 75990 77760 78080 78570 79056 79152 80460 81056 81801 82620 82960 83808 83997 85824 86718 87840 88128 88755 88938 89046 90890 91188 93120 93312 93330 94284 94672 95360 96552 97920 98820 98940 99144 99552 100589 101320 103680 104760 105408 105536 106506 107280 108621 109068 110160 111744 111996 113985 114432 115624 116640 117120 117504 117855 118340 118584 118728 120690 121584 123930 124160 124440 125712 128736 130077 131760 131920 132192 132736 133569 136335 136782 139680 139995 140544 141426 142008 143040 144530 144828 145424 146880 148230 148410 149328 151980 154513 155520 157140 158112 158304 159759 160920 162112 163602 165240 165920 167616 167994 171648 173436 175680 176256 177510 177876 178092 181035 181780 182376 186240 186624 186660 188568 189344 190720 193104 195840 197640 197880 198288 199104 201178 202640 205173 209520 210816 211072 213012 214560 216795 217242 218136 220320 222345 222615 223488 223992 227970 231248 233280 234240 235710 236680 237168 237456 241380 243168 245403 245701 247860 248880 251424 251991 257472 260154 263520 263840 264384 265472 266265 267138 272670 273564 279360 279990 282852 284016 286080 289060 289656 290848 293760 296460 296820 298656 301767 303960 309026 311040 314280 316224 316608 319518 321840 324224 327204 330480 331840 335232 335988 341955 343296 346872 351360 352512 353565 355020 355752 356184 362070 363560 364752 372480 373320 377136 378688 386208 390231 395280 395760 396576 398208 400707 402356 405280 409005 410346 419040 419985 421632 422144 426024 429120 433590 434484 436272 440640 444690 445230 447984 455940 462496 463539 466560 471420 473360 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72424080 73329381 73862280 74166240 74924352 74938805 75093318 76684320 76935744 77252352 78528960 78624320 78786432 79346970 79607124 80637120 81477090 83249280 83437020 84289896 84636768 85484160 86269860 86908896 87540480 88345080 88452360 88999488 89926566 90512640 92021184 93655440 94234752 94349184 95216364 96169680 96565440 96764544 97772508 98483040 98888320 99508905 99899136 100124424 102245760 102580992 104705280 105362370 105795960 106014096 106142832 107516160 108636120 111249360 112386528 112639977 112849024 115026480 115878528 117793440 117936480 118179648 118665984 119020455 119410686 119902088 120955680 122215635 122694912 124873920 125155530 126955152 128226240 128753920 130363344 131310720 132517620 132678540 133499232 134889849 138031776 139034880 140483160 141061280 141352128 141523776 142824546 144848160 146658762 147724560 148332480 149848704 149877610 150186636 153368640 153871488 157057920 157248640 157572864 158693940 159214248 161274240 162954180 166498560 166874040 168579792 169273536 170968320 172539720 173817792 176690160 176904720 177998976 179116029 179853132 184042368 187310880 187733295 188469504 188698368 190432728 192339360 193130880 193529088 195545016 196966080 197776640 199017810 200248848 204491520 210724740 211591920 212028192 212285664 214236819 217272240 222498720 224773056 224816415 225279954 225698048 230052960 231757056 235586880 235872960 236359296 238040910 238821372 239804176 241911360 244431270 249747840 250311060 253910304 256452480 260726688 262621440 265035240 265357080 266998464 269779698 276063552 280966320 282122560 282704256 283047552 285649092 289696320 293317524 295449120 296664960 298526715 299697408 299755220 300373272 306737280 307742976 314115840 314497280 317387880 318428496 322548480 325908360 333748080 337159584 338547072 345079440 347635584 353380320 353809440 355997952 357061365 358232058 359706264 366646905 368084736 374621760 375466590 380865456 384678720 386261760 391090032 393932160 398035620 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1126399770 1128490240 1142596368 1158785280 1173270096 1181796480 1194106860 1199020880 1201493088 1214008641 1269551520 1273713984 1285420914 1303633440 1334992320 1348638336 1348898490 1380317760 1413521280 1415237760 1428245460 1432928232 1438825056 1466587620 1498487040 1501866360 1523461824 1538714880 1564360128 1592142480 1601990784 1618678188 1685797920 1692735360 1696225536 1698285312 1713894552 1738177920 1779989760 1791160290 1798531320 1802239632 1840423680 1904327280 1910570976 1918433408 1955450160 2002488480 2023347735 2031282432 2085813504 2120281920 2122856640 2142368190 2158237584 2247730560 2252799540 2285192736 2346540192 2363592960 2388213720 2398041760 2402986176 2428017282 2539103040 2547427968 2570841828 2607266880 2669984640 2697276672 2697796980 2760635520 2827042560 2830475520 2856490920 2865856464 2877650112 2933175240 3003732720 3046923648 3128720256 3184284960 3203981568 3213552285 3237356376 3371595840 3385470720 3427789104 3476355840 3582320580 3597062640 3604479264 3642025923 3808654560 3821141952 3836866816 3910900320 4004976960 4046695470 4240563840 4245713280 4284736380 4316475168 4495461120 4505599080 4570385472 4693080384 4776427440 4796083520 4805972352 4856034564 5078206080 5094855936 5141683656 5214533760 5339969280 5395593960 5521271040 5712981840 5731712928 5755300224 5866350480 6007465440 6070043205 6093847296 6257440512 6368569920 6427104570 6474712752 6743191680 6855578208 7164641160 7194125280 7208958528 7284051846 7617309120 7642283904 7821800640 8009953920 8093390940 8481127680 8491426560 8569472760 8632950336 9011198160 9140770944 9386160768 9552854880 9592167040 9611944704 9712069128 10156412160 10283367312 10429067520 10791187920 10926077769 11425963680 11463425856 11510600448 11732700960 12014930880 12140086410 12737139840 12854209140 12949425504 13486383360 13711156416 14329282320 14388250560 14417917056 14568103692 15234618240 15284567808 15643601280 16019907840 16186781880 17138945520 17265900672 18022396320 18210129615 18281541888 18772321536 19105709760 19184334080 19424138256 20566734624 21582375840 21852155538 22851927360 22926851712 23465401920 24029861760 24280172820 25474279680 25708418280 25898851008 27422312832 28658564640 28776501120 28835834112 29136207384 30469236480 31287202560 32373563760 34277891040 34531801344 36044792640 36420259230 38211419520 38848276512 41133469248 43164751680 43704311076 45703854720 45853703424 46930803840 48059723520 48560345640 51416836560 51797702016 54630388845 54844625664 57317129280 57553002240 58272414768 64747127520 68555782080 72089585280 72840518460 76422839040 77696553024 82266938496 86329503360 87408622152 91407709440 93861607680 97120691280 102833673120 103595404032 109260777690 114634258560 116544829536 129494255040 137111564160 144179170560 145681036920 155393106048 164533876992 172659006720 174817244304 194241382560 205667346240 218521555380 229268517120 233089659072 258988510080 274223128320 291362073840 310786212096 349634488608 388482765120 411334692480 437043110760 466179318144 517977020160 582724147680 699268977216 776965530240 822669384960 874086221520 932358636288 1165448295360 1398537954432 1553931060480 1748172443040 2330896590720 2797075908864 3496344886080 4661793181440 6992689772160 13985379544320
- Sum of all divisors σ(n): 54976089117600
- Sum of proper divisors (its aliquot sum) s(n): 40990709573280
- 13985379544320 is an abundant number, because the sum of its proper divisors (40990709573280) is greater than itself. Its abundance is 27005330028960
Bases of 13985379544320
- Binary: 110010111000001110011001010001101101000000002
- Hexadecimal: 0xCB839946D00
- Base-36: 4YGSLW000
Squares and roots of 13985379544320
- 13985379544320 squared (139853795443202) is 195590840998684290844262400
- 13985379544320 cubed (139853795443203) is 2735412146759344881207072831798509568000
-
The
square root of 13985379544320 is 3739703.1358545025 -
The
cube root of 13985379544320 is 24093.0298675563
Scales and comparisons
How big is 13985379544320?- 13,985,379,544,320 seconds is equal to 444,691 years, 42 weeks, 19 hours, 12 minutes.
-
To count from 1 to 13,985,379,544,320 would take you about one million, one hundred eleven thousand, seven hundred twenty-nine 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 13985379544320 cubic inches would be around 2007.8 feet tall.
Recreational maths with 13985379544320
- 13985379544320 backwards is 02344597358931
- The number of decimal digits it has is: 14
- The sum of 13985379544320's digits is 63
- More coming soon!
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MLA style:
"Number 13985379544320 - Facts about the integer". Numbermatics.com. 2024. Web. 20 September 2024.
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Numbermatics. (2024). Number 13985379544320 - Facts about the integer. Retrieved 20 September 2024, from https://numbermatics.com/n/13985379544320/
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The information we have on file for 13985379544320 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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