31142846311049200
31,142,846,311,049,200 is an even composite number composed of five prime numbers multiplied together.
31142846311049200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred seventy divisors.
Prime factorization of 31142846311049200:
24 × 52 × 7 × 132 × 2565412
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 13 × 13 × 256541 × 256541)See below for interesting mathematical facts about the number 31142846311049200 from the Numbermatics database.
Names of 31142846311049200
- Cardinal: 31142846311049200 can be written as Thirty-one quadrillion, one hundred forty-two trillion, eight hundred forty-six billion, three hundred eleven million, forty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 3.11428463110492 × 1016
Factors of 31142846311049200
Divisors of 31142846311049200
- Number of divisors d(n): 270
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 50 52 56 65 70 80 91 100 104 112 130 140 169 175 182 200 208 260 280 325 338 350 364 400 455 520 560 650 676 700 728 845 910 1040 1183 1300 1352 1400 1456 1690 1820 2275 2366 2600 2704 2800 3380 3640 4225 4550 4732 5200 5915 6760 7280 8450 9100 9464 11830 13520 16900 18200 18928 23660 29575 33800 36400 47320 59150 67600 94640 118300 236600 256541 473200 513082 1026164 1282705 1795787 2052328 2565410 3335033 3591574 4104656 5130820 6413525 6670066 7183148 8978935 10261640 12827050 13340132 14366296 16675165 17957870 20523280 23345231 25654100 26680264 28732592 33350330 35915740 43355429 44894675 46690462 51308200 53360528 66700660 71831480 83375825 86710858 89789350 93380924 102616400 116726155 133401320 143662960 166751650 173421716 179578700 186761848 216777145 233452310 266802640 303488003 333503300 346843432 359157400 373523696 433554290 466904620 583630775 606976006 667006600 693686864 718314800 867108580 933809240 1083885725 1167261550 1213952012 1334013200 1517440015 1734217160 1867618480 2167771450 2334523100 2427904024 3034880030 3468434320 4335542900 4669046200 4855808048 6069760060 7587200075 8671085800 9338092400 12139520120 15174400150 17342171600 24279040240 30348800300 60697600600 65813284681 121395201200 131626569362 263253138724 329066423405 460692992767 526506277448 658132846810 855572700853 921385985534 1053012554896 1316265693620 1645332117025 1711145401706 1842771971068 2303464963835 2632531387240 3290664234050 3422290803412 3685543942136 4277863504265 4606929927670 5265062774480 5989008905971 6581328468100 6844581606824 7371087884272 8555727008530 9213859855340 11122445111089 11517324819175 11978017811942 13162656936200 13689163213648 17111454017060 18427719710680 21389317521325 22244890222178 23034649638350 23956035623884 26325313872400 29945044529855 34222908034120 36855439421360 42778635042650 44489780444356 46069299276700 47912071247768 55612225555445 59890089059710 68445816068240 77857115777623 85557270085300 88979560888712 92138598553400 95824142495536 111224451110890 119780178119420 149725222649275 155714231555246 171114540170600 177959121777424 184277197106800 222448902221780 239560356238840 278061127777225 299450445298550 311428463110492 342229080341200 389285578888115 444897804443560 479120712477680 556122255554450 598900890597100 622856926220984 778571157776230 889795608887120 1112244511108900 1197801781194200 1245713852441968 1557142315552460 1946427894440575 2224489022217800 2395603562388400 3114284631104920 3892855788881150 4448978044435600 6228569262209840 7785711577762300 15571423155524600 31142846311049200
- Sum of all divisors σ(n): 92593334400803592
- Sum of proper divisors (its aliquot sum) s(n): 61450488089754392
- 31142846311049200 is an abundant number, because the sum of its proper divisors (61450488089754392) is greater than itself. Its abundance is 30307641778705192
Bases of 31142846311049200
- Binary: 11011101010010001000000111100111010101000100111111100002
- Hexadecimal: 0x6EA440F3AA27F0
- Base-36: 8IN7U354V74
Squares and roots of 31142846311049200
- 31142846311049200 squared (311428463110492002) is 969876876353630764798004820640000
- 31142846311049200 cubed (311428463110492003) is 30204726500921590937262251722256702496215488000000
-
The
square root of 31142846311049200 is 176473358.6438734951 -
The
cube root of 31142846311049200 is 314619.8363666595
Scales and comparisons
How big is 31142846311049200?- 31,142,846,311,049,200 seconds is equal to 990,246,181 years, 28 weeks, 1 day, 14 hours, 6 minutes, 40 seconds.
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To count from 1 to 31,142,846,311,049,200 would take you about two billion, nine hundred seventy million, seven hundred thirty-eight thousand, five hundred forty-four 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 31142846311049200 cubic inches would be around 26218.3 feet tall.
Recreational maths with 31142846311049200
- 31142846311049200 backwards is 00294011364824113
- The number of decimal digits it has is: 17
- The sum of 31142846311049200's digits is 49
- More coming soon!
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