13828460434401888
13,828,460,434,401,888 is an even composite number composed of four prime numbers multiplied together.
What does the number 13828460434401888 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1344 divisors.
13828460434401888 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 13828460434401888:
25 × 315 × 116 × 17
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 11 × 11 × 11 × 17)See below for interesting mathematical facts about the number 13828460434401888 from the Numbermatics database.
Names of 13828460434401888
- Cardinal: 13828460434401888 can be written as Thirteen quadrillion, eight hundred twenty-eight trillion, four hundred sixty billion, four hundred thirty-four million, four hundred one thousand, eight hundred eighty-eight.
Scientific notation
- Scientific notation: 1.3828460434401888 × 1016
Factors of 13828460434401888
Divisors of 13828460434401888
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 32 33 34 36 44 48 51 54 66 68 72 81 88 96 99 102 108 121 132 136 144 153 162 176 187 198 204 216 242 243 264 272 288 297 306 324 352 363 374 396 408 432 459 484 486 528 544 561 594 612 648 726 729 748 792 816 864 891 918 968 972 1056 1089 1122 1188 1224 1296 1331 1377 1452 1458 1496 1584 1632 1683 1782 1836 1936 1944 2057 2178 2187 2244 2376 2448 2592 2662 2673 2754 2904 2916 2992 3168 3267 3366 3564 3672 3872 3888 3993 4114 4131 4356 4374 4488 4752 4896 5049 5324 5346 5508 5808 5832 5984 6171 6534 6561 6732 7128 7344 7776 7986 8019 8228 8262 8712 8748 8976 9504 9801 10098 10648 10692 11016 11616 11664 11979 12342 12393 13068 13122 13464 14256 14641 14688 15147 15972 16038 16456 16524 17424 17496 17952 18513 19602 19683 20196 21296 21384 22032 22627 23328 23958 24057 24684 24786 26136 26244 26928 28512 29282 29403 30294 31944 32076 32912 33048 34848 34992 35937 37026 37179 39204 39366 40392 42592 42768 43923 44064 45254 45441 47916 48114 49368 49572 52272 52488 53856 55539 58564 58806 59049 60588 63888 64152 65824 66096 67881 69984 71874 72171 74052 74358 78408 78732 80784 85536 87846 88209 90508 90882 95832 96228 98736 99144 104544 104976 107811 111078 111537 117128 117612 118098 121176 127776 128304 131769 132192 135762 136323 143748 144342 148104 148716 156816 157464 161051 161568 166617 175692 176418 177147 181016 181764 191664 192456 197472 198288 203643 209952 215622 216513 222156 223074 234256 235224 236196 242352 248897 256608 263538 264627 271524 272646 287496 288684 296208 297432 313632 314928 322102 323433 333234 334611 351384 352836 354294 362032 363528 383328 384912 395307 396576 407286 408969 431244 433026 444312 446148 468512 470448 472392 483153 484704 497794 499851 527076 529254 531441 543048 545292 574992 577368 592416 594864 610929 629856 644204 646866 649539 666468 669222 702768 705672 708588 724064 727056 746691 769824 790614 793881 814572 817938 862488 866052 888624 892296 940896 944784 966306 970299 995588 999702 1003833 1054152 1058508 1062882 1086096 1090584 1149984 1154736 1185921 1189728 1221858 1226907 1288408 1293732 1299078 1332936 1338444 1405536 1411344 1417176 1449459 1454112 1493382 1499553 1581228 1587762 1594323 1629144 1635876 1724976 1732104 1771561 1777248 1784592 1832787 1889568 1932612 1940598 1948617 1991176 1999404 2007666 2108304 2117016 2125764 2172192 2181168 2240073 2309472 2371842 2381643 2443716 2453814 2576816 2587464 2598156 2665872 2676888 2737867 2822688 2834352 2898918 2910897 2986764 2999106 3011499 3162456 3175524 3188646 3258288 3271752 3449952 3464208 3543122 3557763 3569184 3665574 3680721 3865224 3881196 3897234 3982352 3998808 4015332 4216608 4234032 4251528 4348377 4362336 4480146 4498659 4743684 4763286 4782969 4887432 4907628 5153632 5174928 5196312 5314683 5331744 5353776 5475734 5498361 5668704 5797836 5821794 5845851 5973528 5998212 6022998 6324912 6351048 6377292 6516576 6543504 6720219 6928416 7086244 7115526 7144929 7331148 7361442 7730448 7762392 7794468 7964704 7997616 8030664 8213601 8468064 8503056 8696754 8732691 8960292 8997318 9034497 9487368 9526572 9565938 9774864 9815256 10349856 10392624 10629366 10673289 10707552 10951468 10996722 11042163 11595672 11643588 11691702 11947056 11996424 12045996 12649824 12702096 12754584 13045131 13087008 13440438 13495977 14172488 14231052 14289858 14348907 14662296 14722884 15460896 15524784 15588936 15944049 15995232 16061328 16427202 16495083 17006112 17393508 17465382 17537553 17920584 17994636 18068994 18974736 19053144 19131876 19549728 19630512 20160657 20785248 21258732 21346578 21434787 21902936 21993444 22084326 23191344 23287176 23383404 23894112 23992848 24091992 24640803 25404192 25509168 26090262 26198073 26880876 26991954 27103491 28344976 28462104 28579716 28697814 29324592 29445768 30116537 31049568 31177872 31888098 32019867 32122656 32854404 32990166 33126489 34787016 34930764 35075106 35841168 35989272 36137988 37949472 38106288 38263752 39135393 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2380933270386 2510613731736 2586692935728 2597381749512 2738851343712 2824440448203 2910029552694 3081207761676 3161513588112 3174577693848 3347484975648 3361317558192 3463175666016 3556702786626 3571399905579 3765920597604 3880039403592 4108277015568 4232770258464 4365044329041 4621811642514 4742270382168 4761866540772 5021227463472 5173385871456 5194763499024 5335054179939 5648880896406 5820059105388 6162415523352 6323027176224 6349155387696 6722635116384 7113405573252 7142799811158 7531841195208 7760078807184 8216554031136 8473321344609 8730088658082 9243623285028 9484540764336 9523733081544 10042454926944 10389526998048 10670108359878 11297761792812 11640118210776 12324831046704 12698310775392 13095132987123 14226811146504 14285599622316 15063682390416 15520157614368 16005162539817 16946642689218 17460177316164 18487246570056 18969081528672 19047466163088 21340216719756 22595523585624 23280236421552 24649662093408 25419964033827 26190265974246 28453622293008 28571199244632 30127364780832 32010325079634 33893285378436 34920354632328 36974493140112 38094932326176 39285398961369 42680433439512 45191047171248 46560472843104 48015487619451 50839928067654 52380531948492 56907244586016 57142398489264 64020650159268 67786570756872 69840709264656 73948986280224 78570797922738 85360866879024 90382094342496 96030975238902 101679856135308 104761063896984 114284796978528 128041300318536 135573141513744 139681418529312 144046462858353 157141595845476 170721733758048 192061950477804 203359712270616 209522127793968 256082600637072 271146283027488 288092925716706 314283191690952 384123900955608 406719424541232 419044255587936 432139388575059 512165201274144 576185851433412 628566383381904 768247801911216 813438849082464 864278777150118 1152371702866824 1257132766763808 1536495603822432 1728557554300236 2304743405733648 3457115108600472 4609486811467296 6914230217200944 13828460434401888
- Sum of all divisors σ(n): 47563291158022080
- Sum of proper divisors (its aliquot sum) s(n): 33734830723620192
- 13828460434401888 is an abundant number, because the sum of its proper divisors (33734830723620192) is greater than itself. Its abundance is 19906370289218304
Bases of 13828460434401888
- Binary: 1100010010000011101001010101111111101110101010011000002
- Hexadecimal: 0x3120E957FBAA60
- Base-36: 3S5S30UDI00
Squares and roots of 13828460434401888
- 13828460434401888 squared (138284604344018882) is 191226317985818452969960297964544
- 13828460434401888 cubed (138284604344018883) is 2644365572283244612484870377380738843080470659072
-
The
square root of 13828460434401888 is 117594474.5062534305 -
The
cube root of 13828460434401888 is 240025.8099233515
Scales and comparisons
How big is 13828460434401888?- 13,828,460,434,401,888 seconds is equal to 439,702,267 years, 30 weeks, 4 hours, 4 minutes, 48 seconds.
-
To count from 1 to 13,828,460,434,401,888 would take you about one billion, three hundred nineteen million, one hundred six thousand, eight hundred two 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 13828460434401888 cubic inches would be around 20002.2 feet tall.
Recreational maths with 13828460434401888
- 13828460434401888 backwards is 88810443406482831
- 13828460434401888 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13828460434401888's digits is 72
- More coming soon!
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"Number 13828460434401888 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
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Numbermatics. (2024). Number 13828460434401888 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/13828460434401888/
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Numbermatics. 2024. "Number 13828460434401888 - Facts about the integer". https://numbermatics.com/n/13828460434401888/
The information we have on file for 13828460434401888 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!
Keywords: Divisors of 13828460434401888, math, Factors of 13828460434401888, curriculum, school, college, exams, university, Prime factorization of 13828460434401888, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred twenty-eight trillion, four hundred sixty billion, four hundred thirty-four million, four hundred one thousand, eight hundred eighty-eight.