13984648412116032
13,984,648,412,116,032 is an even composite number composed of five prime numbers multiplied together.
What does the number 13984648412116032 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1470 divisors.
13984648412116032 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred seventy divisors.
Prime factorization of 13984648412116032:
26 × 32 × 74 × 17 × 296
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 7 × 17 × 29 × 29 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 13984648412116032 from the Numbermatics database.
Names of 13984648412116032
- Cardinal: 13984648412116032 can be written as Thirteen quadrillion, nine hundred eighty-four trillion, six hundred forty-eight billion, four hundred twelve million, one hundred sixteen thousand and thirty-two.
Scientific notation
- Scientific notation: 1.3984648412116032 × 1016
Factors of 13984648412116032
Divisors of 13984648412116032
- Number of divisors d(n): 1470
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 29 32 34 36 42 48 49 51 56 58 63 64 68 72 84 87 96 98 102 112 116 119 126 136 144 147 153 168 174 192 196 203 204 224 232 238 252 261 272 288 294 306 336 343 348 357 392 406 408 441 448 464 476 493 504 522 544 576 588 609 612 672 686 696 714 784 812 816 833 841 882 928 952 986 1008 1029 1044 1071 1088 1176 1218 1224 1344 1372 1392 1421 1428 1479 1568 1624 1632 1666 1682 1764 1827 1856 1904 1972 2016 2058 2088 2142 2352 2401 2436 2448 2499 2523 2744 2784 2842 2856 2958 3087 3136 3248 3264 3332 3364 3451 3528 3654 3808 3944 4032 4116 4176 4263 4284 4437 4704 4802 4872 4896 4998 5046 5488 5568 5684 5712 5831 5887 5916 6174 6496 6664 6728 6902 7056 7203 7308 7497 7569 7616 7888 8232 8352 8526 8568 8874 9408 9604 9744 9792 9947 9996 10092 10353 10976 11368 11424 11662 11774 11832 12348 12789 12992 13328 13456 13804 14112 14297 14406 14616 14994 15138 15776 16464 16704 17052 17136 17493 17661 17748 19208 19488 19894 19992 20184 20706 21609 21952 22736 22848 23324 23548 23664 24157 24389 24696 25578 26656 26912 27608 28224 28594 28812 29232 29841 29988 30276 31059 31552 32928 34104 34272 34986 35322 35496 38416 38976 39788 39984 40368 40817 41209 41412 42891 43218 45472 46648 47096 47328 48314 48778 49392 51156 52479 52983 53312 53824 55216 57188 57624 58464 59682 59976 60552 62118 65856 68208 68544 69629 69972 70644 70992 72471 73167 76832 79576 79968 80736 81634 82418 82824 85782 86436 89523 90944 93296 94192 94656 96628 97556 98784 100079 102312 104958 105966 110432 114376 115248 116928 119364 119952 121104 122451 123627 124236 128673 136416 139258 139944 141288 141984 144942 146334 153664 159152 159936 161472 163268 164836 165648 169099 170723 171564 172872 179046 186592 188384 193256 195112 197568 200158 204624 208887 209916 211932 217413 219501 220864 228752 230496 238728 239904 242208 244902 247254 248472 257346 272832 278516 279888 282576 283968 288463 289884 292668 300237 318304 326536 329672 331296 338198 341446 343128 345744 358092 367353 370881 373184 376768 386512 390224 400316 409248 414613 417774 419832 423864 434826 439002 457504 460992 477456 479808 484416 489804 494508 496944 507297 512169 514692 557032 559776 565152 576926 579768 585336 600474 626661 636608 653072 659344 662592 676396 682892 686256 691488 700553 707281 716184 734706 741762 773024 780448 800632 818496 829226 835548 839664 847728 865389 869652 878004 900711 915008 954912 979608 989016 993888 1014594 1024338 1029384 1114064 1119552 1130304 1153852 1159536 1170672 1183693 1195061 1200948 1243839 1253322 1306144 1318688 1352792 1365784 1372512 1382976 1401106 1414562 1432368 1469412 1483524 1521891 1536507 1546048 1560896 1601264 1658452 1671096 1679328 1695456 1730778 1739304 1756008 1801422 1909824 1959216 1978032 1987776 2019241 2029188 2048676 2058768 2101659 2121843 2228128 2307704 2319072 2341344 2367386 2390122 2401896 2487678 2506644 2596167 2612288 2637376 2705584 2731568 2745024 2802212 2829124 2864736 2902291 2938824 2967048 3043782 3073014 3202528 3316904 3342192 3358656 3390912 3461556 3478608 3512016 3551079 3585183 3602844 3731517 3918432 3956064 4038482 4058376 4097352 4117536 4203318 4243686 4456256 4615408 4638144 4682688 4734772 4780244 4803792 4903871 4950967 4975356 5013288 5192334 5411168 5463136 5604424 5658248 5729472 5804582 5877648 5934096 6057723 6087564 6146028 6304977 6365529 6405056 6633808 6684384 6923112 6957216 7024032 7102158 7170366 7205688 7463034 7836864 7912128 8076964 8116752 8194704 8235072 8365427 8406636 8487372 8706873 9230816 9469544 9560488 9607584 9807742 9901934 9950712 10026576 10384668 10653237 10755549 10822336 10926272 11208848 11316496 11609164 11755296 11868192 12023777 12115446 12175128 12292056 12609954 12731058 13267616 13368768 13846224 13914432 14048064 14204316 14340732 14411376 14711613 14852901 14926068 16153928 16233504 16389408 16730854 16813272 16974744 17413746 18173169 18461632 18939088 19120976 19215168 19615484 19803868 19901424 20053152 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173214531462 174878056374 175739524632 182015936226 191133276096 192968889792 196989074996 197959464528 199860635856 200845171008 204024399103 205029445404 212351925597 225130371424 230952708616 233170741832 234319366176 239201019638 242687914968 244538162064 253271667852 259821797193 262317084561 263945952704 266480847808 273372593872 283135900796 286699914144 289453334688 295483612494 296939196792 299790953784 307544168106 323583886624 326050882752 337695557136 339359082048 342618232896 346429062924 349756112748 351479049264 358801529457 364031872452 393978149992 395918929056 399721271712 408048798206 410058890808 424703851194 443225418741 450260742848 461905417232 466341483664 468638732352 478402039276 485375829936 489076324128 495487826393 506543335704 519643594386 524634169122 546745187744 566271801592 573399828288 578906669376 590967224988 593878393584 599581907568 612073197309 615088336212 637055776791 647167773248 675391114272 692858125848 699512225496 702958098528 717603058914 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3672439183854 3827216314208 3963902611144 4052346685632 4157148755088 4197073352976 4284512381163 4305618353484 4459390437537 4530174412736 4727737799904 4896585578472 4920706689696 5023221412398 5096446214328 5542865006784 5596097803968 5712683174884 5740824471312 5824509959232 5945853916716 6528780771296 6697628549864 6795261619104 6936829569502 7091606699856 7344878367708 7534832118597 7654432628416 7927805222288 8314297510176 8394146705952 8569024762326 8611236706968 8918780875074 9455475599808 9793171156944 9841413379392 10046442824796 10192892428656 10405244354253 11425366349768 11481648942624 11891707833432 12853537143489 13057561542592 13395257099728 13590523238208 13873659139004 14183213399712 14689756735416 15069664237194 15855610444576 16628595020352 16788293411904 17138049524652 17222473413936 17837561750148 19586342313888 20092885649592 20385784857312 20810488708506 22850732699536 22963297885248 23783415666864 24278903493257 25707074286978 26790514199456 27747318278008 28366426799424 29379513470832 30139328474388 31215733062759 31711220889152 34276099049304 34444946827872 35675123500296 39172684627776 40185771299184 40771569714624 41620977417012 45701465399072 47566831333728 48557806986514 51414148573956 53581028398912 55494636556016 58759026941664 60278656948776 62431466125518 68552198098608 68889893655744 71350247000592 72836710479771 80371542598368 83241954834024 91402930798144 95133662667456 97115613973028 102828297147912 110989273112032 117518053883328 120557313897552 124862932251036 137104396197216 142700494001184 145673420959542 160743085196736 166483909668048 194231227946056 205656594295824 218510131439313 221978546224064 241114627795104 249725864502072 274208792394432 285400988002368 291346841919084 332967819336096 388462455892112 411313188591648 437020262878626 482229255590208 499451729004144 582693683838168 665935638672192 776924911784224 822626377183296 874040525757252 998903458008288 1165387367676336 1553849823568448 1748081051514504 1997806916016576 2330774735352672 3496162103029008 4661549470705344 6992324206058016 13984648412116032
- Sum of all divisors σ(n): 51281490691547298
- Sum of proper divisors (its aliquot sum) s(n): 37296842279431266
- 13984648412116032 is an abundant number, because the sum of its proper divisors (37296842279431266) is greater than itself. Its abundance is 23312193867315234
Bases of 13984648412116032
- Binary: 1100011010111011110110101100001110100110110100010000002
- Hexadecimal: 0x31AEF6B0E9B440
- Base-36: 3TP56SFNGW0
Squares and roots of 13984648412116032
- 13984648412116032 squared (139846484121160322) is 195570391210499455193095831425024
- 13984648412116032 cubed (139846484121160323) is 2734983160898822387425929445086746874173796384768
-
The
square root of 13984648412116032 is 118256705.5693504089 -
The
cube root of 13984648412116032 is 240926.1001249873 - Being both a perfect square and a perfect cube, 13984648412116032 is also a
perfect sixth number .
Scales and comparisons
How big is 13984648412116032?- 13,984,648,412,116,032 seconds is equal to 444,668,562 years, 7 weeks, 4 days, 17 hours, 7 minutes, 12 seconds.
-
To count from 1 to 13,984,648,412,116,032 would take you about one billion, three hundred thirty-four million, five thousand, six hundred eighty-six 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 13984648412116032 cubic inches would be around 20077.2 feet tall.
Recreational maths with 13984648412116032
- 13984648412116032 backwards is 23061121484648931
- 13984648412116032 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13984648412116032's digits is 63
- More coming soon!
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"Number 13984648412116032 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 13984648412116032 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/13984648412116032/
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The information we have on file for 13984648412116032 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 13984648412116032, math, Factors of 13984648412116032, curriculum, school, college, exams, university, Prime factorization of 13984648412116032, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred eighty-four trillion, six hundred forty-eight billion, four hundred twelve million, one hundred sixteen thousand and thirty-two.