12918421200
12,918,421,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12918421200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
12918421200 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 12918421200:
24 × 3 × 52 × 29 × 43 × 89 × 97
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 29 × 43 × 89 × 97)See below for interesting mathematical facts about the number 12918421200 from the Numbermatics database.
Names of 12918421200
- Cardinal: 12918421200 can be written as Twelve billion, nine hundred eighteen million, four hundred twenty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.29184212 × 1010
Factors of 12918421200
Divisors of 12918421200
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 43 48 50 58 60 75 80 86 87 89 97 100 116 120 129 145 150 172 174 178 194 200 215 232 240 258 267 290 291 300 344 348 356 388 400 430 435 445 464 485 516 534 580 582 600 645 688 696 712 725 776 860 870 890 970 1032 1068 1075 1160 1164 1200 1247 1290 1335 1392 1424 1450 1455 1552 1720 1740 1780 1940 2064 2136 2150 2175 2225 2320 2328 2425 2494 2580 2581 2670 2813 2900 2910 3225 3440 3480 3560 3741 3827 3880 4171 4272 4300 4350 4450 4656 4850 4988 5160 5162 5340 5626 5800 5820 6235 6450 6675 6960 7120 7275 7482 7654 7743 7760 8342 8439 8600 8633 8700 8900 9700 9976 10320 10324 10680 11252 11481 11600 11640 12470 12513 12900 12905 13350 14065 14550 14964 15308 15486 16684 16878 17200 17266 17400 17800 18705 19135 19400 19952 20648 20855 21360 22504 22962 23280 24940 25026 25800 25810 25899 26700 28130 29100 29928 30616 30972 31175 33368 33756 34532 34800 35600 37410 38270 38715 38800 41296 41710 42195 43165 45008 45924 49880 50052 51600 51620 51798 53400 56260 57405 58200 59856 61232 61944 62350 62565 64525 66736 67512 69064 70325 74820 76540 77430 83420 84390 86330 91848 93525 95675 99760 100104 103240 103596 104275 106800 110983 112520 114810 116400 120959 123888 124700 125130 129050 129495 135024 138128 140650 149640 153080 154860 166840 168780 172660 183696 187050 191350 193575 200208 206480 207192 208550 210975 215825 221966 225040 229620 241918 249400 250260 250357 258100 258990 281300 287025 299280 306160 309720 312825 332949 333680 337560 345320 362877 371219 374100 382700 387150 414384 417100 421950 431650 443932 459240 483836 498800 500520 500714 516200 517980 554915 562600 574050 604795 619440 625650 647475 665898 675120 690640 725754 742438 748200 751071 765400 774300 834200 843900 863300 887864 918480 967672 1001040 1001428 1032400 1035960 1109830 1113657 1125200 1148100 1209590 1251300 1251785 1294950 1331796 1451508 1484876 1496400 1502142 1530800 1548600 1664745 1668400 1687800 1726600 1775728 1814385 1856095 1935344 2002856 2071920 2219660 2227314 2296200 2419180 2502600 2503570 2589900 2663592 2774575 2903016 2969752 3004284 3023975 3097200 3329490 3375600 3453200 3628770 3712190 3755355 4005712 4439320 4454628 4592400 4838360 5005200 5007140 5179800 5327184 5549150 5568285 5806032 5939504 6008568 6047950 6258925 6658980 7257540 7424380 7510710 8323725 8878640 8909256 9071925 9280475 9676720 10014280 10359600 10765351 11098300 11136570 12017136 12095900 12517850 13317960 14515080 14848760 15021420 16647450 17818512 18143850 18560950 18776775 20028560 21530702 22196600 22273140 24191800 25035700 26635920 27841425 29030160 29697520 30042840 32296053 33294900 36287700 37121900 37553550 43061404 44393200 44546280 48383600 50071400 53826755 55682850 60085680 64592106 66589800 72575400 74243800 75107100 86122808 89092560 100142800 107653510 111365700 129184212 133179600 145150800 148487600 150214200 161480265 172245616 215307020 222731400 258368424 269133775 300428400 322960530 430614040 445462800 516736848 538267550 645921060 807401325 861228080 1076535100 1291842120 1614802650 2153070200 2583684240 3229605300 4306140400 6459210600 12918421200
- Sum of all divisors σ(n): 44753385600
- Sum of proper divisors (its aliquot sum) s(n): 31834964400
- 12918421200 is an abundant number, because the sum of its proper divisors (31834964400) is greater than itself. Its abundance is 18916543200
Bases of 12918421200
- Binary: 11000000011111111101110110110100002
- Hexadecimal: 0x301FF76D0
- Base-36: 5XNALLC
Squares and roots of 12918421200
- 12918421200 squared (129184212002) is 166885606300609440000
- 12918421200 cubed (129184212003) is 2155898554408646562616128000000
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The
square root of 12918421200 is 113659.2327969883 -
The
cube root of 12918421200 is 2346.4059259987
Scales and comparisons
How big is 12918421200?- 12,918,421,200 seconds is equal to 410 years, 39 weeks, 5 days, 18 hours, 20 minutes.
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To count from 1 to 12,918,421,200 would take you about eight hundred twenty-one 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 12918421200 cubic inches would be around 195.5 feet tall.
Recreational maths with 12918421200
- 12918421200 backwards is 00212481921
- 12918421200 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 12918421200's digits is 30
- More coming soon!
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