12048673291200
12,048,673,291,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 12048673291200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1890 divisors.
12048673291200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred ninety divisors.
Prime factorization of 12048673291200:
26 × 32 × 52 × 7 × 132 × 294
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 13 × 29 × 29 × 29 × 29)See below for interesting mathematical facts about the number 12048673291200 from the Numbermatics database.
Names of 12048673291200
- Cardinal: 12048673291200 can be written as Twelve trillion, forty-eight billion, six hundred seventy-three million, two hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.20486732912 × 1013
Factors of 12048673291200
Divisors of 12048673291200
- Number of divisors d(n): 1890
-
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 29 30 32 35 36 39 40 42 45 48 50 52 56 58 60 63 64 65 70 72 75 78 80 84 87 90 91 96 100 104 105 112 116 117 120 126 130 140 144 145 150 156 160 168 169 174 175 180 182 192 195 200 203 208 210 224 225 232 234 240 252 260 261 273 280 288 290 300 312 315 320 325 336 338 348 350 360 364 377 390 400 406 416 420 435 448 450 455 464 468 480 504 507 520 522 525 546 560 576 580 585 600 609 624 630 650 672 676 696 700 720 725 728 754 780 800 812 819 832 840 841 845 870 900 910 928 936 960 975 1008 1014 1015 1040 1044 1050 1092 1120 1131 1160 1170 1183 1200 1218 1248 1260 1300 1305 1344 1352 1365 1392 1400 1440 1450 1456 1508 1521 1560 1575 1600 1624 1638 1680 1682 1690 1740 1800 1820 1827 1856 1872 1885 1950 2016 2028 2030 2080 2088 2100 2175 2184 2240 2262 2275 2320 2340 2366 2400 2436 2496 2520 2523 2535 2600 2610 2639 2704 2730 2784 2800 2880 2900 2912 2925 3016 3042 3045 3120 3150 3248 3276 3360 3364 3380 3393 3480 3549 3600 3640 3654 3744 3770 3900 4032 4056 4060 4095 4160 4176 4200 4205 4225 4350 4368 4524 4550 4640 4680 4732 4800 4872 4901 5040 5046 5070 5075 5200 5220 5278 5408 5460 5568 5600 5655 5800 5824 5850 5887 5915 6032 6084 6090 6240 6300 6496 6525 6552 6720 6728 6760 6786 6825 6960 7098 7200 7280 7308 7488 7540 7569 7605 7800 7917 8112 8120 8190 8352 8400 8410 8450 8700 8736 9048 9100 9135 9280 9360 9425 9464 9744 9802 10080 10092 10140 10150 10400 10440 10556 10647 10816 10920 10933 11200 11310 11600 11700 11774 11830 12064 12168 12180 12480 12600 12615 12675 12992 13050 13104 13195 13456 13520 13572 13650 13920 14196 14400 14560 14616 14703 15080 15138 15210 15225 15600 15834 16224 16240 16380 16704 16800 16820 16900 16965 17400 17472 17661 17745 18096 18200 18270 18720 18850 18928 19488 19604 20160 20184 20280 20300 20475 20800 20880 21025 21112 21294 21840 21866 22620 23200 23400 23548 23660 23751 24128 24336 24360 24389 24505 25200 25230 25350 26100 26208 26390 26912 27040 27144 27300 27840 28275 28392 29120 29232 29406 29435 29575 30160 30276 30420 30450 31200 31668 32448 32480 32760 32799 33600 33640 33800 33930 34307 34800 35322 35490 36192 36400 36540 37440 37700 37845 37856 38025 38976 39208 39585 40368 40560 40600 40950 41760 42050 42224 42588 43680 43732 44109 45240 45675 46400 46800 47096 47320 47502 48672 48720 48778 49010 50400 50460 50700 52200 52416 52780 52983 53235 53824 54080 54288 54600 54665 56550 56784 58464 58812 58870 59150 60320 60552 60840 60900 62400 63075 63336 64960 65520 65598 65975 67280 67600 67860 68614 69600 70644 70980 72384 72800 73080 73167 73515 75400 75690 75712 76050 76531 78416 79170 80736 81120 81200 81900 83520 84100 84448 84825 85176 87360 87464 88218 88305 88725 90480 91350 93600 94192 94640 95004 97344 97440 97556 98020 98397 100800 100920 101400 102921 104400 105560 105966 106470 108576 109200 109330 113100 113568 116928 117624 117740 118300 118755 120640 121104 121680 121800 121945 122525 126150 126672 131040 131196 131950 134560 135200 135720 137228 139200 141288 141960 142129 145600 146160 146334 147030 147175 150800 151380 152100 153062 156832 158340 161472 162240 162400 163800 163995 168200 168896 169650 170352 170723 171535 174928 176436 176610 177450 180960 182700 187200 188384 189225 189280 190008 194880 195112 196040 196794 197925 201840 202800 205842 208800 211120 211932 212940 217152 218400 218660 219501 220545 226200 227136 229593 235248 235480 236600 237510 242208 243360 243600 243890 245050 252300 253344 262080 262392 263900 264915 266175 269120 270400 271440 273325 274456 282576 283920 284258 292320 292668 294060 294350 301600 302760 304200 306124 308763 313664 316680 317057 324800 327600 327990 336400 339300 340704 341446 343070 349856 352872 353220 354900 361920 365400 365835 367575 376768 378450 378560 380016 382655 390224 392080 393588 395850 403680 405600 411684 417600 422240 423864 425880 426387 436800 437320 439002 441090 441525 452400 459186 470496 470960 473200 475020 484416 486720 487200 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35646962400 35859146700 37072840896 37652104035 38249756480 38617542600 40162244304 41547149280 41835671150 43030976040 44134334400 46163499200 46341051120 47812195600 50202805380 51490056800 51933936600 53549659072 53788720050 57374634720 57926313900 59353070400 60243366456 61788068160 62753506725 66201501600 66937073840 68849561664 69245248800 71293924800 71718293400 75304208070 77235085200 80324488608 83094298560 83671342300 86061952080 92682102240 95624391200 100405610760 102980113600 103867873200 107577440100 114749269440 115852627800 120486732912 125507013450 132403003200 133874147680 138490497600 143436586800 150608416140 154470170400 160648977216 167342684600 172123904160 185364204480 188260520175 191248782400 200811221520 207735746400 215154880200 231705255600 240973465824 251014026900 267748295360 286873173600 301216832280 308940340800 334685369200 344247808320 376521040350 401622443040 415471492800 430309760400 463410511200 481946931648 502028053800 573746347200 602433664560 669370738400 753042080700 803244886080 860619520800 926821022400 1004056107600 1204867329120 1338741476800 1506084161400 1721239041600 2008112215200 2409734658240 3012168322800 4016224430400 6024336645600 12048673291200
- Sum of all divisors σ(n): 54888552868344
- Sum of proper divisors (its aliquot sum) s(n): 42839879577144
- 12048673291200 is an abundant number, because the sum of its proper divisors (42839879577144) is greater than itself. Its abundance is 30791206285944
Bases of 12048673291200
- Binary: 101011110101010011001110010000111011110000002
- Hexadecimal: 0xAF54CE43BC0
- Base-36: 49R30ZN40
Squares and roots of 12048673291200
- 12048673291200 squared (120486732912002) is 145170528078076239997440000
- 12048673291200 cubed (120486732912003) is 1749112264323716861134476484374528000000
-
The
square root of 12048673291200 is 3471119.8900643003 -
The
cube root of 12048673291200 is 22925.1969886037
Scales and comparisons
How big is 12048673291200?- 12,048,673,291,200 seconds is equal to 383,110 years, 28 weeks, 1 day, 4 hours.
-
To count from 1 to 12,048,673,291,200 would take you about nine hundred fifty-seven thousand, seven hundred seventy-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 12048673291200 cubic inches would be around 1910.4 feet tall.
Recreational maths with 12048673291200
- 12048673291200 backwards is 00219237684021
- 12048673291200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12048673291200's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 12048673291200 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/12048673291200/
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The information we have on file for 12048673291200 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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