12946249680
12,946,249,680 is an even composite number composed of seven prime numbers multiplied together.
12946249680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 12946249680:
24 × 3 × 5 × 7 × 13 × 372 × 433
(2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 37 × 37 × 433)See below for interesting mathematical facts about the number 12946249680 from the Numbermatics database.
Names of 12946249680
- Cardinal: 12946249680 can be written as Twelve billion, nine hundred forty-six million, two hundred forty-nine thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.294624968 × 1010
Factors of 12946249680
Divisors of 12946249680
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 37 39 40 42 48 52 56 60 65 70 74 78 80 84 91 104 105 111 112 120 130 140 148 156 168 182 185 195 208 210 222 240 259 260 273 280 296 312 336 364 370 390 420 433 444 455 481 518 520 546 555 560 592 624 728 740 777 780 840 866 888 910 962 1036 1040 1092 1110 1295 1299 1365 1369 1443 1456 1480 1554 1560 1680 1732 1776 1820 1924 2072 2165 2184 2220 2405 2590 2598 2730 2738 2886 2960 3031 3108 3120 3367 3464 3640 3848 3885 4107 4144 4330 4368 4440 4810 5180 5196 5460 5476 5629 5772 6062 6216 6495 6734 6845 6928 7215 7280 7696 7770 8214 8660 8880 9093 9583 9620 10101 10360 10392 10920 10952 11258 11544 12124 12432 12990 13468 13690 14430 15155 15540 16021 16428 16835 16887 17320 17797 18186 19166 19240 20202 20535 20720 20784 21840 21904 22516 23088 24248 25980 26936 27380 28145 28749 28860 30310 31080 32042 32856 33670 33774 34640 35594 36372 38332 38480 39403 40404 41070 45032 45465 47915 48063 48496 50505 51960 53391 53872 54760 56290 57498 57720 60620 62160 64084 65712 67340 67548 71188 72744 76664 78806 80105 80808 82140 84435 88985 90064 90930 95830 96126 101010 103920 106782 109520 112147 112580 114996 115440 118209 121240 124579 128168 134680 135096 142376 143745 145488 153328 157612 160210 161616 164280 168870 177970 181860 191660 192252 197015 202020 208273 213564 224294 225160 229992 236418 240315 242480 249158 256336 266955 269360 270192 284752 287490 315224 320420 328560 336441 337740 355940 363720 373737 383320 384504 394030 404040 416546 427128 448588 450320 459984 472836 480630 498316 533910 560735 574980 591045 592777 622895 624819 630448 640840 672882 675480 711880 727440 747474 766640 769008 788060 808080 833092 854256 897176 945672 961260 996632 1041365 1067820 1121470 1149960 1182090 1185554 1245790 1249638 1281680 1345764 1350960 1423760 1457911 1494948 1576120 1666184 1682205 1778331 1794352 1868685 1891344 1922520 1993264 2082730 2135640 2242940 2299920 2364180 2371108 2491580 2499276 2691528 2915822 2963885 2989896 3124095 3152240 3332368 3364410 3556662 3737370 3845040 4149439 4165460 4271280 4373733 4485880 4728360 4742216 4983160 4998552 5383056 5831644 5927770 5979792 6248190 6728820 7113324 7289555 7474740 7706101 8298878 8330920 8747466 8891655 8971760 9456720 9484432 9966320 9997104 11663288 11855540 12448317 12496380 13457640 14226648 14579110 14949480 15412202 16597756 16661840 17494932 17783310 20747195 21868665 23118303 23326576 23711080 24896634 24992760 26915280 28453296 29158220 29898960 30824404 33195512 34989864 35566620 38530505 41494390 43737330 46236606 47422160 49793268 49985520 53942707 58316440 61648808 62241585 66391024 69979728 71133240 77061010 82988780 87474660 92473212 99586536 107885414 115591515 116632880 123297616 124483170 142266480 154122020 161828121 165977560 174949320 184946424 199173072 215770828 231183030 248966340 269713535 308244040 323656242 331955120 349898640 369892848 431541656 462366060 497932680 539427070 616488080 647312484 809140605 863083312 924732120 995865360 1078854140 1294624968 1618281210 1849464240 2157708280 2589249936 3236562420 4315416560 6473124840 12946249680
- Sum of all divisors σ(n): 50883243264
- Sum of proper divisors (its aliquot sum) s(n): 37936993584
- 12946249680 is an abundant number, because the sum of its proper divisors (37936993584) is greater than itself. Its abundance is 24990743904
Bases of 12946249680
- Binary: 11000000111010100000010111110100002
- Hexadecimal: 0x303A817D0
- Base-36: 5Y3V26O
Squares and roots of 12946249680
- 12946249680 squared (129462496802) is 167605380776900102400
- 12946249680 cubed (129462496803) is 2169861107249221102087967232000
-
The
square root of 12946249680 is 113781.5876141655 -
The
cube root of 12946249680 is 2348.0895703209
Scales and comparisons
How big is 12946249680?- 12,946,249,680 seconds is equal to 411 years, 33 weeks, 5 days, 20 hours, 28 minutes.
-
To count from 1 to 12,946,249,680 would take you about eight 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 12946249680 cubic inches would be around 195.7 feet tall.
Recreational maths with 12946249680
- 12946249680 backwards is 08694264921
- The number of decimal digits it has is: 11
- The sum of 12946249680's digits is 51
- More coming soon!
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