12984408949800960
12,984,408,949,800,960 is an even composite number composed of six prime numbers multiplied together.
What does the number 12984408949800960 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2520 divisors.
12984408949800960 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, five hundred twenty divisors.
Prime factorization of 12984408949800960:
214 × 32 × 5 × 76 × 107 × 1399
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 107 × 1399)See below for interesting mathematical facts about the number 12984408949800960 from the Numbermatics database.
Names of 12984408949800960
- Cardinal: 12984408949800960 can be written as Twelve quadrillion, nine hundred eighty-four trillion, four hundred eight billion, nine hundred forty-nine million, eight hundred thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.298440894980096 × 1016
Factors of 12984408949800960
Divisors of 12984408949800960
- Number of divisors d(n): 2520
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 64 70 72 80 84 90 96 98 105 107 112 120 126 128 140 144 147 160 168 180 192 196 210 214 224 240 245 252 256 280 288 294 315 320 321 336 343 360 384 392 420 428 441 448 480 490 504 512 535 560 576 588 630 640 642 672 686 720 735 749 768 784 840 856 882 896 960 963 980 1008 1024 1029 1070 1120 1152 1176 1260 1280 1284 1344 1372 1399 1440 1470 1498 1536 1568 1605 1680 1712 1715 1764 1792 1920 1926 1960 2016 2048 2058 2140 2205 2240 2247 2304 2352 2401 2520 2560 2568 2688 2744 2798 2880 2940 2996 3072 3087 3136 3210 3360 3424 3430 3528 3584 3745 3840 3852 3920 4032 4096 4116 4197 4280 4410 4480 4494 4608 4704 4802 4815 5040 5120 5136 5145 5243 5376 5488 5596 5760 5880 5992 6144 6174 6272 6420 6720 6741 6848 6860 6995 7056 7168 7203 7490 7680 7704 7840 8064 8192 8232 8394 8560 8820 8960 8988 9216 9408 9604 9630 9793 10080 10240 10272 10290 10486 10752 10976 11192 11235 11520 11760 11984 12005 12288 12348 12544 12591 12840 13440 13482 13696 13720 13990 14112 14336 14406 14980 15360 15408 15435 15680 15729 16128 16384 16464 16788 16807 17120 17640 17920 17976 18432 18816 19208 19260 19586 20160 20480 20544 20580 20972 20985 21504 21609 21952 22384 22470 23040 23520 23968 24010 24576 24696 25088 25182 25680 26215 26880 26964 27392 27440 27980 28224 28672 28812 29379 29960 30720 30816 30870 31360 31458 32256 32928 33576 33614 33705 34240 35280 35840 35952 36015 36701 36864 37632 38416 38520 39172 40320 40960 41088 41160 41944 41970 43008 43218 43904 44768 44940 46080 47040 47187 47936 48020 48965 49152 49392 50176 50364 50421 51360 52430 53760 53928 54784 54880 55960 56448 57344 57624 58758 59920 61440 61632 61740 62720 62916 62955 64512 65856 67152 67228 67410 68480 68551 70560 71680 71904 72030 73402 73728 75264 76832 77040 78344 78645 80640 81920 82176 82320 83888 83940 84035 86016 86436 87808 88137 89536 89880 92160 94080 94374 95872 96040 97930 98784 100352 100728 100842 102720 104860 107520 107856 108045 109568 109760 110103 111920 112896 114688 115248 117516 117649 119840 122880 123264 123480 125440 125832 125910 129024 131712 134304 134456 134820 136960 137102 141120 143360 143808 144060 146804 146895 147456 149693 150528 151263 153664 154080 156688 157290 161280 164352 164640 167776 167880 168070 172032 172872 175616 176274 179072 179760 183505 184320 188160 188748 191744 192080 195860 197568 200704 201456 201684 205440 205653 209720 215040 215712 216090 219136 219520 220206 223840 225792 230496 235032 235298 235935 239680 245760 246528 246960 250880 251664 251820 252105 256907 258048 263424 268608 268912 269640 273920 274204 282240 286720 287616 288120 293608 293790 299386 301056 302526 307328 308160 313376 314580 322560 328704 329280 330309 335552 335760 336140 342755 344064 345744 351232 352548 352947 358144 359520 367010 368640 376320 377496 383488 384160 391720 395136 401408 402912 403368 410880 411306 419440 430080 431424 432180 438272 439040 440412 440685 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441962250240 450659758080 452860245180 460048503040 464060362752 473192745984 474021938880 481546096640 483050928192 495304556544 505623401472 515622625280 517554565920 525769717760 528336952710 540791709696 541739358720 552058203648 563559416224 577855315968 580075453440 591490932480 600879677440 603813660240 618747150336 619130695680 630923661312 632029251840 634004343252 644067904256 662943375360 674164535296 675989637120 690072754560 704449270280 722319144960 724576392288 736077604864 758435102208 772559585280 773433937920 788654576640 792505429065 805084880320 825507594240 828087305472 841231548416 842705669120 845339124336 866782973952 901319516160 905720490360 920097006080 928120725504 946385491968 948043877760 963092193280 966101856384 1011246802944 1031245250560 1035109131840 1051539435520 1056673905420 1081583419392 1083478717440 1104116407296 1127118832448 1155710631936 1160150906880 1182981864960 1207627320480 1238261391360 1261847322624 1264058503680 1268008686504 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4830509281920 5056234014720 5072034746016 5152543234048 5407917096960 5520582036480 5635594162240 5778553159680 5796611138304 5888620838912 6067480817664 6309236613120 6340043432520 6440679042560 6624698443776 6741645352960 6762712994688 7245763922880 7360776048640 7571083935744 7584351022080 7728814851072 8089974423552 8280873054720 8453391243360 8667829739520 8832931258368 9016950659584 9281207255040 9463854919680 9661018563840 10112468029440 10144069492032 10305086468096 11041164072960 11271188324480 11593222276608 12134961635328 12618473226240 12680086865040 12881358085120 13249396887552 13483290705920 13525425989376 14491527845760 14721552097280 15168702044160 15457629702144 16561746109440 16906782486720 17335659479040 17665862516736 18033901319168 18927709839360 19322037127680 20224936058880 20288138984064 20610172936192 22082328145920 22542376648960 23186444553216 24269923270656 25360173730080 25762716170240 26498793775104 27050851978752 28983055691520 29443104194560 30337404088320 30915259404288 33123492218880 33813564973440 36067802638336 37855419678720 38644074255360 40449872117760 40576277968128 41220345872384 44164656291840 45084753297920 46372889106432 50720347460160 51525432340480 52997587550208 54101703957504 57966111383040 60674808176640 61830518808576 66246984437760 67627129946880 72135605276672 77288148510720 81152555936256 88329312583680 90169506595840 92745778212864 101440694920320 103050864680960 108203407915008 115932222766080 121349616353280 123661037617152 132493968875520 135254259893760 144271210553344 154576297021440 162305111872512 180339013191680 185491556425728 202881389840640 206101729361920 216406815830016 231864445532160 264987937751040 270508519787520 288542421106688 309152594042880 324610223745024 360678026383360 370983112851456 405762779681280 432813631660032 463728891064320 541017039575040 618305188085760 649220447490048 721356052766720 811525559362560 865627263320064 927457782128640 1082034079150080 1298440894980096 1442712105533440 1623051118725120 1854915564257280 2164068158300160 2596881789960192 3246102237450240 4328136316600320 6492204474900480 12984408949800960
- Sum of all divisors σ(n): 53041717403438400
- Sum of proper divisors (its aliquot sum) s(n): 40057308453637440
- 12984408949800960 is an abundant number, because the sum of its proper divisors (40057308453637440) is greater than itself. Its abundance is 27072899503836480
Bases of 12984408949800960
- Binary: 1011100010000101000000010010110001001001000000000000002
- Hexadecimal: 0x2E21404B124000
- Base-36: 3JUL74H7GG0
Squares and roots of 12984408949800960
- 12984408949800960 squared (129844089498009602) is 168594875775671268985223616921600
- 12984408949800960 cubed (129844089498009603) is 2189104813912207093195205339929375579607924736000
-
The
square root of 12984408949800960 is 113949150.7199635077 -
The
cube root of 12984408949800960 is 235039.4317402253
Scales and comparisons
How big is 12984408949800960?- 12,984,408,949,800,960 seconds is equal to 412,864,041 years, 9 weeks, 6 days, 1 hour, 36 minutes.
-
To count from 1 to 12,984,408,949,800,960 would take you about one billion, two hundred thirty-eight million, five hundred ninety-two thousand, one hundred twenty-three 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 12984408949800960 cubic inches would be around 19586.6 feet tall.
Recreational maths with 12984408949800960
- 12984408949800960 backwards is 06900894980448921
- The number of decimal digits it has is: 17
- The sum of 12984408949800960's digits is 81
- More coming soon!
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"Number 12984408949800960 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 12984408949800960 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/12984408949800960/
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The information we have on file for 12984408949800960 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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