13341684006144
13,341,684,006,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 13341684006144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
13341684006144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13341684006144:
28 × 35 × 133 × 31 × 47 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 13 × 31 × 47 × 67)See below for interesting mathematical facts about the number 13341684006144 from the Numbermatics database.
Names of 13341684006144
- Cardinal: 13341684006144 can be written as Thirteen trillion, three hundred forty-one billion, six hundred eighty-four million, six thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.3341684006144 × 1013
Factors of 13341684006144
Divisors of 13341684006144
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 47 48 52 54 62 64 67 72 78 81 93 94 96 104 108 117 124 128 134 141 144 156 162 169 186 188 192 201 208 216 234 243 248 256 268 279 282 288 312 324 338 351 372 376 384 402 403 416 423 432 468 486 496 507 536 558 564 576 603 611 624 648 676 702 744 752 768 804 806 832 837 846 864 871 936 972 992 1014 1053 1072 1116 1128 1152 1206 1209 1222 1248 1269 1296 1352 1404 1457 1488 1504 1521 1608 1612 1664 1674 1692 1728 1742 1809 1833 1872 1944 1984 2028 2077 2106 2144 2197 2232 2256 2304 2412 2418 2444 2496 2511 2538 2592 2613 2704 2808 2914 2976 3008 3042 3149 3159 3216 3224 3328 3348 3384 3456 3484 3618 3627 3666 3744 3807 3888 3968 4056 4154 4212 4288 4371 4394 4464 4512 4563 4824 4836 4888 4992 5022 5076 5184 5226 5239 5408 5427 5499 5616 5828 5952 6016 6084 6231 6298 6318 6432 6448 6591 6696 6768 6912 6968 7236 7254 7332 7488 7533 7614 7776 7839 7936 7943 8112 8308 8424 8576 8742 8788 8928 9024 9126 9447 9648 9672 9776 9984 10044 10152 10368 10452 10478 10816 10854 10881 10998 11232 11323 11421 11656 11904 12032 12168 12462 12596 12636 12864 12896 13113 13182 13392 13536 13689 13936 14472 14508 14664 14976 15066 15228 15552 15678 15717 15886 16224 16281 16497 16616 16848 17152 17484 17576 17856 18048 18252 18693 18894 18941 19296 19344 19552 19773 20088 20304 20736 20904 20956 21632 21708 21762 21996 22464 22646 22842 23312 23517 23808 23829 24336 24924 25192 25272 25728 25792 26226 26364 26784 27001 27072 27378 27872 28341 28944 29016 29328 29952 30132 30456 31104 31356 31434 31772 32448 32562 32643 32994 33232 33696 33969 34968 35152 35712 36096 36504 37386 37788 37882 38592 38688 39104 39339 39546 40176 40608 40937 41067 41808 41912 43264 43416 43524 43992 44928 45292 45684 46624 47034 47151 47658 48672 49491 49848 50384 50544 51456 51584 52452 52728 53568 54002 54144 54756 55744 56079 56682 56823 57888 58032 58656 59319 60264 60912 62208 62712 62868 63544 64896 65124 65286 65988 66464 67392 67938 68107 69936 70304 70551 71424 71487 73008 74772 75576 75764 77184 77376 78208 78678 79092 80352 81003 81216 81874 82134 83616 83824 85023 86832 87048 87984 89856 90584 91368 93248 94068 94302 95316 97344 97619 97929 98982 99696 100768 101088 101907 103168 103259 104904 105456 107136 108004 108288 109512 111488 112158 113364 113646 115776 116064 117312 118017 118638 120528 121824 122811 125424 125736 127088 129792 130248 130572 131976 132928 134784 135876 136214 139872 140608 141102 141453 142974 146016 147199 148473 149544 151152 151528 154368 154752 156416 157356 158184 160704 162006 162432 163748 164268 167232 167648 168237 170046 170469 173664 174096 175968 177957 181168 182736 186496 188136 188604 190632 194688 195238 195858 197964 199392 201536 202176 203814 204321 206518 209808 210912 211653 214272 214461 216008 219024 222976 224316 226728 227292 231552 232128 234624 236034 237276 241056 243009 243648 245622 246233 250848 251472 254176 255069 260496 261144 263952 265856 269568 271752 272428 279744 281216 282204 282906 285948 292032 292857 294398 296946 299088 302304 303056 305721 309504 309777 314712 316368 321408 324012 324864 327496 328536 334464 335296 336474 340092 340938 347328 348192 351013 351936 354051 355914 362336 365472 368433 372992 376272 377208 381264 389376 390476 391716 395928 398784 403072 404352 407628 408642 413036 419616 421824 423306 424359 428922 432016 438048 441597 448632 453456 454584 463104 464256 469248 472068 474552 482112 486018 487296 491244 492466 501696 502944 504711 508352 510138 511407 520992 522288 527904 531712 532181 533871 543504 544856 559488 562432 564408 565812 571896 584064 585714 588796 593892 598176 604608 606112 611442 612963 619554 629424 632736 642816 643383 648024 654992 657072 668928 670592 672948 680184 681876 694656 696384 702026 703872 708102 711828 724672 729027 730944 736866 738699 752544 754416 762528 765207 780952 783432 791856 797568 806144 808704 815256 817284 826072 839232 843648 846612 848718 857844 864032 876096 878571 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102178752 102432928 102792807 104979888 106108704 106372656 108635904 109516056 110693648 112457088 113048832 113728212 114951096 115237044 117396864 117688896 118954368 119669238 121828512 123205563 123529536 124530354 126514224 127179936 129206016 129319983 130920192 131980888 132400008 133823664 134788992 136238336 136670976 137057076 139973184 141478272 141830208 143077428 146021408 147285216 148478499 151637616 153268128 153649392 156918528 159163056 159558984 162438016 162953856 164274084 164706048 166040472 168685632 169573248 170592318 172426644 172855566 176095296 176533344 178431552 182742768 186630912 186795531 189106944 189771336 190769904 195892992 196380288 197971332 200735496 202183488 204357504 204865856 205585614 209959776 212217408 212745312 214468943 219032112 221387296 224914176 227456424 229902192 230474088 234793728 235377792 237908736 239338476 243657024 246411126 247059072 249060708 253028448 254359872 258639966 259283349 263961776 264800016 267647328 269577984 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22125512448 23162645844 23655468096 23909827968 24891201504 26314958592 26898556464 27452024704 28507871808 30883527792 31540624128 32071355784 33105915648 33188268672 34743968766 35483202144 35864741952 38010495744 39472437888 41178037056 42761807712 46325291688 47310936192 47819655936 49782403008 52115953149 53797112928 54904049408 57015743616 61767055584 64142711568 66376537344 69487937532 70966404288 71729483904 78944875776 82356074112 85523615424 92650583376 94621872384 99564806016 104231906298 107594225856 114031487232 123534111168 128285423136 138975875064 141932808576 143458967808 164712148224 171047230848 185301166752 199129612032 208463812596 215188451712 247068222336 256570846272 277951750128 283865617152 342094461696 370602333504 416927625192 430376903424 494136444672 513141692544 555903500256 741204667008 833855250384 1026283385088 1111807000512 1482409334016 1667710500768 2223614001024 3335421001536 4447228002048 6670842003072 13341684006144
- Sum of all divisors σ(n): 46238034984960
- Sum of proper divisors (its aliquot sum) s(n): 32896350978816
- 13341684006144 is an abundant number, because the sum of its proper divisors (32896350978816) is greater than itself. Its abundance is 19554666972672
Bases of 13341684006144
- Binary: 110000100010010110100101010111111101000000002
- Hexadecimal: 0xC225A55FD00
- Base-36: 4Q9326O00
Squares and roots of 13341684006144
- 13341684006144 squared (133416840061442) is 178000532119798613029748736
- 13341684006144 cubed (133416840061443) is 2374826852467838508025232913566200233984
-
The
square root of 13341684006144 is 3652627.0006864923 -
The
cube root of 13341684006144 is 23717.5714055135
Scales and comparisons
How big is 13341684006144?- 13,341,684,006,144 seconds is equal to 424,224 years, 14 weeks, 4 days, 23 hours, 2 minutes, 24 seconds.
-
To count from 1 to 13,341,684,006,144 would take you about one million, sixty thousand, five hundred sixty 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 13341684006144 cubic inches would be around 1976.5 feet tall.
Recreational maths with 13341684006144
- 13341684006144 backwards is 44160048614331
- The number of decimal digits it has is: 14
- The sum of 13341684006144's digits is 45
- More coming soon!
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"Number 13341684006144 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13341684006144 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13341684006144/
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The information we have on file for 13341684006144 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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