12825482342400
12,825,482,342,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 12825482342400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1872 divisors.
12825482342400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred seventy-two divisors.
Prime factorization of 12825482342400:
212 × 32 × 52 × 73 × 13 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 3121)See below for interesting mathematical facts about the number 12825482342400 from the Numbermatics database.
Names of 12825482342400
- Cardinal: 12825482342400 can be written as Twelve trillion, eight hundred twenty-five billion, four hundred eighty-two million, three hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.28254823424 × 1013
Factors of 12825482342400
Divisors of 12825482342400
- Number of divisors d(n): 1872
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 28 30 32 35 36 39 40 42 45 48 49 50 52 56 60 63 64 65 70 72 75 78 80 84 90 91 96 98 100 104 105 112 117 120 126 128 130 140 144 147 150 156 160 168 175 180 182 192 195 196 200 208 210 224 225 234 240 245 252 256 260 273 280 288 294 300 312 315 320 325 336 343 350 360 364 384 390 392 400 416 420 441 448 450 455 468 480 490 504 512 520 525 546 560 576 585 588 600 624 630 637 640 650 672 686 700 720 728 735 768 780 784 800 819 832 840 882 896 900 910 936 960 975 980 1008 1024 1029 1040 1050 1092 1120 1152 1170 1176 1200 1225 1248 1260 1274 1280 1300 1344 1365 1372 1400 1440 1456 1470 1536 1560 1568 1575 1600 1638 1664 1680 1715 1764 1792 1800 1820 1872 1911 1920 1950 1960 2016 2048 2058 2080 2100 2184 2205 2240 2275 2304 2340 2352 2400 2450 2496 2520 2548 2560 2600 2688 2730 2744 2800 2880 2912 2925 2940 3072 3087 3120 3121 3136 3150 3185 3200 3276 3328 3360 3430 3528 3584 3600 3640 3675 3744 3822 3840 3900 3920 4032 4095 4096 4116 4160 4200 4368 4410 4459 4480 4550 4608 4680 4704 4800 4900 4992 5040 5096 5120 5145 5200 5376 5460 5488 5600 5733 5760 5824 5850 5880 6144 6174 6240 6242 6272 6300 6370 6400 6552 6656 6720 6825 6860 7056 7168 7200 7280 7350 7488 7644 7680 7800 7840 8064 8190 8232 8320 8400 8575 8736 8820 8918 8960 9100 9216 9360 9363 9408 9555 9600 9800 9984 10080 10192 10240 10290 10400 10752 10920 10976 11025 11200 11466 11520 11648 11700 11760 12288 12348 12480 12484 12544 12600 12740 12800 13104 13312 13377 13440 13650 13720 14112 14336 14400 14560 14700 14976 15288 15360 15435 15600 15605 15680 15925 16128 16380 16464 16640 16800 17150 17472 17640 17836 17920 18200 18432 18720 18726 18816 19110 19200 19600 19968 20160 20384 20475 20480 20580 20800 21504 21840 21847 21952 22050 22295 22400 22932 23040 23296 23400 23520 24696 24960 24968 25088 25200 25480 25600 25725 26208 26624 26754 26880 27300 27440 28089 28224 28665 28672 28800 29120 29400 29952 30576 30720 30870 31200 31210 31360 31850 32256 32760 32928 33280 33600 34300 34944 35280 35672 35840 36400 36864 37440 37452 37632 38220 38400 39200 39936 40131 40320 40573 40768 40950 41160 41600 43008 43680 43694 43904 44100 44590 44800 45864 46080 46592 46800 46815 47040 47775 49392 49920 49936 50176 50400 50960 51200 51450 52416 53248 53508 53760 54600 54880 56178 56448 57330 57600 58240 58800 59904 61152 61440 61740 62400 62420 62720 63700 64512 65520 65541 65856 66560 66885 67200 68600 69888 70560 71344 71680 72800 74880 74904 75264 76440 76800 77175 78025 78400 79872 80262 80640 81146 81536 81900 82320 83200 86016 87360 87388 87808 88200 89180 89600 91728 92160 93184 93600 93630 94080 95550 98784 99840 99872 100352 100800 101920 102400 102900 104832 107016 107520 109200 109235 109760 111475 112356 112896 114660 115200 116480 117600 119808 121719 122304 123480 124800 124840 125440 127400 129024 131040 131082 131712 133120 133770 134400 137200 139776 140445 141120 142688 143325 143360 145600 149760 149808 150528 152880 152929 153600 154350 156050 156800 159744 160524 161280 162292 163072 163800 164640 166400 174720 174776 175616 176400 178360 179200 183456 184320 186368 187200 187260 188160 191100 196623 197568 199680 199744 200655 200704 201600 202865 203840 205800 209664 214032 215040 218400 218470 219520 222950 224712 225792 229320 230400 232960 234075 235200 239616 243438 244608 246960 249600 249680 250880 254800 258048 262080 262164 263424 266240 267540 268800 274400 279552 280890 282240 284011 285376 286650 291200 299520 299616 301056 305760 305858 307200 308700 312100 313600 321048 322560 324584 326144 327600 327705 329280 332800 334425 349440 349552 351232 352800 356720 358400 365157 366912 372736 374400 374520 376320 382200 393246 395136 399360 399488 401310 403200 405730 407680 411600 419328 428064 430080 436800 436940 439040 445900 449424 451584 458640 458787 460800 465920 468150 470400 479232 486876 489216 493920 499200 499360 501760 509600 524160 524328 526848 535080 537600 546175 548800 559104 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2337004800 2348989440 2385692400 2466438912 2492805120 2504977020 2516774400 2544738560 2569207200 2617445376 2671975488 2726505600 2740487680 2783307800 2818787328 2862830880 2876313600 2908272640 2936236800 3053686272 3083048640 3116006400 3131221275 3131985920 3180923200 3271806720 3288585216 3339969360 3355699200 3425609600 3489927168 3523484160 3562633984 3578538600 3635340800 3739207680 3817107840 3853810800 3914982400 4007963232 4026839040 4071581696 4089758400 4109414400 4110731520 4154675200 4174961700 4362408960 4384780288 4404355200 4453292480 4580529408 4674009600 4697978880 4771384800 4932877824 5009954040 5033548800 5089477120 5138414400 5234890752 5343950976 5453011200 5480975360 5566615600 5637574656 5725661760 5816545280 5872473600 6107372544 6166097280 6232012800 6262442550 6361846400 6543613440 6577170432 6679938720 6711398400 6851219200 7046968320 7125267968 7157077200 7270681600 7478415360 7634215680 7707621600 7829964800 8015926464 8143163392 8179516800 8221463040 8349923400 8724817920 8808710400 8906584960 9161058816 9348019200 9395957760 9542769600 9865755648 10019908080 10067097600 10178954240 10276828800 10469781504 10687901952 10906022400 10961950720 11133231200 11451323520 11744947200 12214745088 12332194560 12464025600 12524885100 12723692800 13087226880 13154340864 13359877440 13702438400 14093936640 14250535936 14314154400 14541363200 15268431360 15415243200 15659929600 16031852928 16359033600 16442926080 16699846800 17449635840 17617420800 17813169920 18322117632 18696038400 19085539200 19731511296 20039816160 20134195200 20357908480 20553657600 21375803904 21812044800 21923901440 22266462400 22902647040 23489894400 24429490176 24664389120 25049770200 25447385600 26174453760 26719754880 27404876800 28187873280 28501071872 28628308800 29082726400 30536862720 30830486400 32063705856 32718067200 32885852160 33399693600 35234841600 35626339840 36644235264 37392076800 38171078400 39463022592 40079632320 40715816960 41107315200 42751607808 43624089600 44532924800 45805294080 46979788800 49328778240 50099540400 50894771200 52348907520 53439509760 54809753600 57002143744 57256617600 61073725440 61660972800 64127411712 65436134400 65771704320 66799387200 70469683200 71252679680 73288470528 76342156800 80159264640 82214630400 85503215616 87248179200 89065849600 91610588160 98657556480 100199080800 101789542400 106879019520 109619507200 114513235200 122147450880 123321945600 128254823424 130872268800 133598774400 140939366400 142505359360 152684313600 160318529280 164429260800 171006431232 178131699200 183221176320 197315112960 200398161600 203579084800 213758039040 229026470400 246643891200 256509646848 261744537600 267197548800 285010718720 305368627200 320637058560 328858521600 356263398400 366442352640 400796323200 427516078080 458052940800 493287782400 513019293696 534395097600 610737254400 641274117120 712526796800 801592646400 855032156160 916105881600 986575564800 1068790195200 1282548234240 1425053593600 1603185292800 1832211763200 2137580390400 2565096468480 3206370585600 4275160780800 6412741171200 12825482342400
- Sum of all divisors σ(n): 57711571153600
- Sum of proper divisors (its aliquot sum) s(n): 44886088811200
- 12825482342400 is an abundant number, because the sum of its proper divisors (44886088811200) is greater than itself. Its abundance is 32060606468800
Bases of 12825482342400
- Binary: 101110101010001010100101000110110000000000002
- Hexadecimal: 0xBAA2A51B000
- Base-36: 4JNY11J40
Squares and roots of 12825482342400
- 12825482342400 squared (128254823424002) is 164492997315214190837760000
- 12825482342400 cubed (128254823424003) is 2109702032514730211463594743169024000000
-
The
square root of 12825482342400 is 3581268.2589272757 -
The
cube root of 12825482342400 is 23407.6547036663
Scales and comparisons
How big is 12825482342400?- 12,825,482,342,400 seconds is equal to 407,810 years, 34 weeks, 4 days, 16 hours.
-
To count from 1 to 12,825,482,342,400 would take you about one million, nineteen thousand, five hundred twenty-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 12825482342400 cubic inches would be around 1950.6 feet tall.
Recreational maths with 12825482342400
- 12825482342400 backwards is 00424328452821
- 12825482342400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12825482342400's digits is 45
- More coming soon!
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"Number 12825482342400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 12825482342400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/12825482342400/
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The information we have on file for 12825482342400 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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