12404429128224
12,404,429,128,224 is an even composite number composed of eight prime numbers multiplied together.
12404429128224 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 12404429128224:
25 × 32 × 7 × 292 × 31 × 53 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 29 × 29 × 31 × 53 × 61 × 73)See below for interesting mathematical facts about the number 12404429128224 from the Numbermatics database.
Names of 12404429128224
- Cardinal: 12404429128224 can be written as Twelve trillion, four hundred four billion, four hundred twenty-nine million, one hundred twenty-eight thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.2404429128224 × 1013
Factors of 12404429128224
Divisors of 12404429128224
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 31 32 36 42 48 53 56 58 61 62 63 72 73 84 87 93 96 106 112 116 122 124 126 144 146 159 168 174 183 186 203 212 217 219 224 232 244 248 252 261 279 288 292 318 336 348 366 371 372 406 424 427 434 438 464 477 488 496 504 511 522 549 558 584 609 636 651 657 672 696 732 742 744 812 841 848 854 868 876 899 928 954 976 992 1008 1022 1044 1098 1113 1116 1168 1218 1272 1281 1302 1314 1392 1464 1484 1488 1533 1537 1624 1643 1682 1696 1708 1736 1752 1769 1798 1827 1891 1908 1952 1953 2016 2044 2088 2117 2196 2226 2232 2263 2336 2436 2523 2544 2562 2604 2628 2697 2784 2928 2968 2976 3066 3074 3233 3248 3286 3339 3364 3416 3472 3504 3538 3596 3654 3782 3816 3843 3869 3906 4088 4176 4234 4392 4452 4453 4464 4526 4599 4611 4872 4929 5046 5088 5124 5208 5256 5307 5394 5673 5856 5887 5936 6132 6148 6293 6351 6466 6496 6572 6678 6728 6789 6832 6944 7008 7076 7192 7308 7564 7569 7632 7686 7738 7812 8091 8176 8352 8468 8784 8904 8906 8928 9052 9198 9222 9699 9744 9858 10092 10248 10416 10512 10614 10759 10788 11346 11501 11607 11774 11872 12264 12296 12383 12586 12702 12932 13144 13237 13356 13359 13456 13578 13664 13833 14152 14384 14616 14787 14819 15128 15138 15264 15372 15476 15624 15841 15921 16182 16352 16936 17019 17568 17661 17808 17812 18104 18396 18444 18879 19053 19398 19488 19716 20184 20367 20496 20832 21024 21228 21518 21576 22631 22692 23002 23214 23548 24528 24592 24766 25172 25404 25864 26071 26288 26474 26712 26718 26912 27083 27156 27666 28304 28768 29097 29232 29574 29638 30256 30276 30744 30952 31171 31248 31682 31842 32277 32364 33872 34038 34503 34821 35322 35616 35624 36208 36792 36888 37149 37758 38106 38796 39432 39711 40077 40368 40734 40992 42456 43036 43152 44457 44573 45262 45384 46004 46428 47096 47523 47647 49056 49184 49532 50344 50808 51301 51728 52142 52576 52948 52983 53424 53436 54166 54312 54839 55332 56608 56637 58194 58464 59148 59276 60512 60552 61393 61488 61904 62342 62496 63364 63684 64554 64728 65627 67744 67893 68076 69006 69642 70644 71248 72416 73584 73776 74298 75516 76212 77592 78213 78864 79422 80154 80736 81249 81468 84912 86072 86304 88914 89146 90524 90768 92008 92856 93513 93757 94192 95046 95294 96831 99064 100223 100688 101616 102602 103456 103509 104284 105896 105966 106848 106872 108332 108624 109678 110664 111447 112201 113274 116388 118296 118552 119133 119939 121104 122786 122976 123808 124684 126728 127368 129108 129137 129456 131254 133371 133719 135786 136152 138012 138043 139284 141288 142496 142569 142941 147168 147552 148596 151032 152424 153903 155184 156426 157728 158844 160308 162498 162936 164517 169824 172144 177828 178292 181048 181536 182497 184016 184179 185712 187026 187514 188384 190092 190588 193662 196881 198128 200446 201376 203232 203679 205204 207018 208568 211792 211932 213744 216664 217248 219356 221328 222894 224402 226548 232776 234639 236009 236592 237104 238266 239878 242208 243747 245572 249368 253456 254736 258216 258274 258912 262508 266742 267438 271572 272304 276024 276086 278568 280539 281271 282576 285138 285882 297192 300669 302064 304848 307806 310368 312011 312852 317688 320616 324996 325872 329034 333529 336603 344288 355656 356584 359107 359817 362096 364994 368032 368358 371424 374052 375028 380184 381176 383873 387324 387411 393762 396256 400892 401157 407358 410408 414036 414129 417136 423584 423864 427488 428823 429751 433328 438712 442656 445788 448804 453096 459389 461709 465552 469278 472018 473184 474208 476532 479756 487494 491144 493551 498736 506912 509472 516432 516548 525016 533484 534876 543144 544608 547491 552048 552172 552537 557136 561078 562542 565152 570276 571764 590643 594384 601338 604128 609696 615612 624022 625704 635376 641232 649992 651744 656299 658068 667058 673206 701561 708027 711312 713168 718214 719634 724192 729988 736716 748104 750056 760368 762352 767746 774648 774822 785407 787524 801784 802314 814716 820816 828072 828258 834272 839573 843813 847728 857646 859502 866656 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25008929694 25418912148 26005092512 26733683466 28320614448 28581633936 29050185312 29255729076 30552781104 33345239592 33435118944 33891882864 35644911288 36917943834 39007638768 42480921672 43070934473 44460319456 47526548384 49223925112 50017859388 50837824296 53467366932 55376915751 56641228896 57163267872 58511458152 61105562208 66690479184 67783765728 71289822576 73835887668 78015277536 84961843344 86141868946 98447850224 100035718776 101675648592 106934733864 110753831502 117022916304 129212803419 133380958368 142579645152 147671775336 169923686688 172283737892 196895700448 200071437552 203351297184 213869467728 221507663004 234045832608 258425606838 295343550672 344567475784 387638410257 400142875104 427738935456 443015326008 516851213676 590687101344 689134951568 775276820514 886030652016 1033702427352 1378269903136 1550553641028 1772061304032 2067404854704 3101107282056 4134809709408 6202214564112 12404429128224
- Sum of all divisors σ(n): 45243812210688
- Sum of proper divisors (its aliquot sum) s(n): 32839383082464
- 12404429128224 is an abundant number, because the sum of its proper divisors (32839383082464) is greater than itself. Its abundance is 20434953954240
Bases of 12404429128224
- Binary: 101101001000001000011001011110000010001000002
- Hexadecimal: 0xB4821978220
- Base-36: 4EAIKTVS0
Squares and roots of 12404429128224
- 12404429128224 squared (124044291282242) is 153869861997132024633394176
- 12404429128224 cubed (124044291282243) is 1908667798113031587911445811797838823424
-
The
square root of 12404429128224 is 3521992.2101310785 -
The
cube root of 12404429128224 is 23148.6460268089
Scales and comparisons
How big is 12404429128224?- 12,404,429,128,224 seconds is equal to 394,422 years, 24 weeks, 5 days, 13 hours, 50 minutes, 24 seconds.
-
To count from 1 to 12,404,429,128,224 would take you about nine hundred eighty-six thousand and fifty-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 12404429128224 cubic inches would be around 1929.1 feet tall.
Recreational maths with 12404429128224
- 12404429128224 backwards is 42282192440421
- The number of decimal digits it has is: 14
- The sum of 12404429128224's digits is 45
- More coming soon!
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"Number 12404429128224 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 12404429128224 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/12404429128224/
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The information we have on file for 12404429128224 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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