13684120080384
13,684,120,080,384 is an even composite number composed of six prime numbers multiplied together.
13684120080384 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred thirty-six divisors.
Prime factorization of 13684120080384:
212 × 3 × 132 × 19 × 472 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 13 × 19 × 47 × 47 × 157)See below for interesting mathematical facts about the number 13684120080384 from the Numbermatics database.
Names of 13684120080384
- Cardinal: 13684120080384 can be written as Thirteen trillion, six hundred eighty-four billion, one hundred twenty million, eighty thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.3684120080384 × 1013
Factors of 13684120080384
Divisors of 13684120080384
- Number of divisors d(n): 936
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 47 48 52 57 64 76 78 94 96 104 114 128 141 152 156 157 169 188 192 208 228 247 256 282 304 312 314 338 376 384 416 456 471 494 507 512 564 608 611 624 628 676 741 752 768 832 893 912 942 988 1014 1024 1128 1216 1222 1248 1256 1352 1482 1504 1536 1664 1786 1824 1833 1884 1976 2028 2041 2048 2209 2256 2432 2444 2496 2512 2679 2704 2964 2983 3008 3072 3211 3328 3572 3648 3666 3768 3952 4056 4082 4096 4418 4512 4864 4888 4992 5024 5358 5408 5928 5966 6016 6123 6144 6422 6627 6656 7144 7296 7332 7379 7536 7904 7943 8112 8164 8836 8949 9024 9633 9728 9776 9984 10048 10716 10816 11609 11856 11932 12032 12246 12288 12844 13254 13312 14288 14592 14664 14758 15072 15808 15886 16224 16328 17672 17898 18048 19266 19456 19552 19968 20096 21432 21632 22137 23218 23712 23829 23864 24064 24492 25688 26508 26533 26624 28576 28717 29184 29328 29516 30144 31616 31772 32448 32656 34827 35344 35796 36096 38532 38779 38912 39104 39936 40192 41971 42864 43264 44274 46436 47424 47658 47728 48128 48984 51376 53016 53066 53248 57152 57434 58368 58656 59032 60288 63232 63544 64896 65312 69654 70688 71592 72192 77064 77558 77824 78208 79599 79872 80384 83942 85728 86151 86528 88548 92872 94848 95316 95456 95927 96256 97968 102752 106032 106132 114304 114868 116337 116736 117312 118064 120576 125913 126464 127088 129792 130624 139308 140201 141376 143184 144384 150917 154128 155116 156416 159198 159744 160768 167884 171456 172302 173056 177096 185744 189696 190632 190912 191854 192512 195936 205504 212064 212264 228608 229736 232674 233472 234624 236128 241152 251826 252928 254176 259584 261248 278616 280402 282752 286368 287781 288768 301834 308256 310232 312832 318396 321536 335768 342912 344604 346112 346813 354192 371488 373321 379392 381264 381824 383708 391872 411008 420603 424128 424528 452751 457216 459472 465348 469248 472256 482304 503652 504127 505856 508352 519168 522496 545623 557232 560804 565504 572736 575562 577536 603668 616512 620464 625664 636792 643072 671536 685824 689208 692224 693626 708384 742976 746642 758784 762528 763648 767416 783744 822016 841206 848256 849056 905502 914432 918944 930696 938496 944512 964608 1007304 1008254 1011712 1016704 1038336 1040439 1044992 1091246 1114464 1119963 1121608 1131008 1145472 1151124 1207336 1233024 1240928 1247051 1251328 1273584 1343072 1371648 1378416 1387252 1416768 1485952 1493284 1512381 1517568 1525056 1527296 1534832 1567488 1636869 1644032 1682412 1696512 1698112 1811004 1822613 1828864 1837888 1861392 1876992 1889024 1929216 2014608 2016508 2033408 2076672 2080878 2089984 2182492 2228928 2239926 2243216 2262016 2290944 2302248 2414672 2466048 2481856 2494102 2502656 2547168 2686144 2743296 2756832 2774504 2833536 2971904 2986568 3024762 3035136 3050112 3054592 3069664 3134976 3273738 3288064 3364824 3393024 3396224 3622008 3645226 3657728 3675776 3722784 3741153 3753984 3778048 4029216 4033016 4066816 4161756 4179968 4364984 4457856 4479852 4486432 4508569 4524032 4581888 4604496 4829344 4932096 4963712 4988204 5094336 5372288 5467839 5486592 5513664 5549008 5667072 5943808 5973136 6049524 6100224 6109184 6139328 6269952 6547476 6576128 6589447 6729648 6786048 6792448 7093099 7244016 7290452 7351552 7445568 7482306 7507968 7556096 8058432 8066032 8133632 8323512 8359936 8729968 8915712 8959704 8972864 9017138 9048064 9163776 9208992 9658688 9864192 9927424 9976408 10188672 10744576 10935678 10973184 11027328 11098016 11334144 11887616 11946272 12099048 12200448 12218368 12278656 12539904 13094952 13152256 13178894 13459296 13525707 13572096 13584896 14186198 14488032 14580904 14703104 14891136 14964612 15112192 16116864 16132064 16267264 16647024 17459936 17831424 17919408 17945728 18034276 18327552 18417984 19317376 19728384 19768341 19854848 19952816 20377344 21279297 21489152 21871356 22054656 22196032 22668288 23693969 23775232 23892544 24198096 24400896 24557312 25079808 26189904 26357788 26918592 27051414 27144192 27169792 28372396 28976064 29161808 29406208 29782272 29929224 30224384 32233728 32264128 32534528 33294048 34919872 35662848 35838816 35891456 36068552 36655104 36835968 38634752 39456768 39536682 39709696 39905632 40754688 42558594 42978304 43742712 44109312 44392064 45336576 47387938 47550464 47785088 48396192 48801792 49114624 52379808 52715576 53837184 54102828 54339584 56744792 57952128 58323616 58611397 58812416 59564544 59858448 64467456 64528256 66588096 69839744 71081907 71325696 71677632 71782912 72137104 73671936 77269504 79073364 79419392 79811264 81509376 85117188 85662811 85956608 87485424 88218624 88784128 90673152 94775876 95570176 96792384 97603584 98229248 104759616 105431152 107674368 108205656 108679168 113489584 115904256 116647232 117222794 117624832 119129088 119716896 128934912 129056512 133176192 139679488 142163814 142651392 143355264 143565824 144274208 147343872 154539008 158146728 158838784 159622528 163018752 170234376 171325622 171913216 174970848 175834191 176437248 177568256 189551752 191140352 193584768 196458496 209519232 210862304 215348736 216411312 226979168 231808512 233294464 234445588 238258176 239433792 256988433 257869824 258113024 266352384 279358976 284327628 286710528 287131648 288548416 294687744 309078016 316293456 319245056 326037504 340468752 342651244 349941696 351668382 352874496 355136512 379103504 382280704 387169536 392916992 419038464 421724608 430697472 432822624 453958336 463617024 466588928 468891176 476516352 478867584 513976866 515739648 516226048 532704768 558717952 568655256 573421056 574263296 577096832 589375488 618156032 632586912 638490112 680937504 685302488 699883392 703336764 710273024 758207008 764561408 774339072 838076928 843449216 861394944 865645248 907916672 927234048 933177856 937782352 957735168 1027953732 1032452096 1065409536 1113616543 1117435904 1137310512 1146842112 1154193664 1178750976 1265173824 1276980224 1361875008 1370604976 1399766784 1406673528 1420546048 1516414016 1529122816 1548678144 1676153856 1686898432 1722789888 1731290496 1815833344 1854468096 1866355712 1875564704 1915470336 2055907464 2064904192 2130819072 2227233086 2234871808 2274621024 2293684224 2308387328 2530347648 2553960448 2723750016 2741209952 2799533568 2813347056 3032828032 3097356288 3340849629 3352307712 3373796864 3462580992 3631666688 3732711424 3751129408 3830940672 4111814928 4261638144 4454466172 4549242048 4587368448 4616774656 5060695296 5107920896 5447500032 5482419904 5599067136 5626694112 6065656064 6194712576 6681699258 6704615424 6747593728 6925161984 7263333376 7465422848 7502258816 7661881344 8223629856 8908932344 9098484096 9233549312 10121390592 10895000064 10964839808 11198134272 11253388224 12131312128 13363398516 13495187456 13850323968 14526666752 15004517632 15323762688 16447259712 17817864688 18196968192 18467098624 20242781184 21790000128 21929679616 22396268544 22506776448 24262624256 26726797032 26990374912 27700647936 29053333504 30009035264 32894519424 35635729376 36393936384 40485562368 43580000256 43859359232 45013552896 48525248512 53453594064 55401295872 60018070528 65789038848 71271458752 72787872768 80971124736 87160000512 87718718464 90027105792 97050497024 106907188128 120036141056 131578077696 142542917504 145575745536 175437436928 180054211584 213814376256 240072282112 263156155392 285085835008 291151491072 350874873856 360108423168 427628752512 526312310784 570171670016 720216846336 855257505024 1052624621568 1140343340032 1710515010048 2280686680064 3421030020096 4561373360128 6842060040192 13684120080384
- Sum of all divisors σ(n): 42762850681440
- Sum of proper divisors (its aliquot sum) s(n): 29078730601056
- 13684120080384 is an abundant number, because the sum of its proper divisors (29078730601056) is greater than itself. Its abundance is 15394610520672
Bases of 13684120080384
- Binary: 110001110010000101010001110111010000000000002
- Hexadecimal: 0xC72151DD000
- Base-36: 4UMEBS5XC
Squares and roots of 13684120080384
- 13684120080384 squared (136841200803842) is 187255142374368610621587456
- 13684120080384 cubed (136841200803843) is 2562421853920262356600323734604406063104
-
The
square root of 13684120080384 is 3699205.3309304149 -
The
cube root of 13684120080384 is 23918.7763961359
Scales and comparisons
How big is 13684120080384?- 13,684,120,080,384 seconds is equal to 435,112 years, 35 weeks, 6 days, 10 hours, 46 minutes, 24 seconds.
-
To count from 1 to 13,684,120,080,384 would take you about one million, eighty-seven thousand, seven hundred eighty-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 13684120080384 cubic inches would be around 1993.2 feet tall.
Recreational maths with 13684120080384
- 13684120080384 backwards is 48308002148631
- 13684120080384 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13684120080384's digits is 48
- More coming soon!
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The information we have on file for 13684120080384 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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