131468956735539200
131,468,956,735,539,200 is an even composite number composed of four prime numbers multiplied together.
131468956735539200 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 131468956735539200:
211 × 52 × 312 × 516912
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 31 × 31 × 51691 × 51691)See below for interesting mathematical facts about the number 131468956735539200 from the Numbermatics database.
Names of 131468956735539200
- Cardinal: 131468956735539200 can be written as One hundred thirty-one quadrillion, four hundred sixty-eight trillion, nine hundred fifty-six billion, seven hundred thirty-five million, five hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 1.314689567355392 × 1017
Factors of 131468956735539200
Divisors of 131468956735539200
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 128 155 160 200 248 256 310 320 400 496 512 620 640 775 800 961 992 1024 1240 1280 1550 1600 1922 1984 2048 2480 2560 3100 3200 3844 3968 4805 4960 5120 6200 6400 7688 7936 9610 9920 10240 12400 12800 15376 15872 19220 19840 24025 24800 25600 30752 31744 38440 39680 48050 49600 51200 51691 61504 63488 76880 79360 96100 99200 103382 123008 153760 158720 192200 198400 206764 246016 258455 307520 317440 384400 396800 413528 492032 516910 615040 768800 793600 827056 984064 1033820 1230080 1292275 1537600 1587200 1602421 1654112 1968128 2067640 2460160 2584550 3075200 3204842 3308224 4135280 4920320 5169100 6150400 6409684 6616448 8012105 8270560 9840640 10338200 12300800 12819368 13232896 16024210 16541120 20676400 24601600 25638736 26465792 32048420 33082240 40060525 41352800 49203200 49675051 51277472 52931584 64096840 66164480 80121050 82705600 99350102 102554944 105863168 128193680 132328960 160242100 165411200 198700204 205109888 248375255 256387360 264657920 320484200 330822400 397400408 410219776 496750510 512774720 529315840 640968400 661644800 794800816 820439552 993501020 1025549440 1241876275 1281936800 1323289600 1589601632 1640879104 1987002040 2051098880 2483752550 2563873600 2646579200 2671959481 3179203264 3281758208 3974004080 4102197760 4967505100 5127747200 5343918962 6358406528 7948008160 8204395520 9935010200 10255494400 10687837924 12716813056 13359797405 15896016320 16408791040 19870020400 20510988800 21375675848 25433626112 26719594810 31792032640 39740040800 41021977600 42751351696 50867252224 53439189620 63584065280 66798987025 79480081600 82043955200 82830743911 85502703392 101734504448 106878379240 127168130560 133597974050 158960163200 165661487822 171005406784 213756758480 254336261120 267195948100 317920326400 331322975644 342010813568 414153719555 427513516960 508672522240 534391896200 635840652800 662645951288 684021627136 828307439110 855027033920 1068783792400 1271681305600 1325291902576 1368043254272 1656614878220 1710054067840 2070768597775 2137567584800 2543362611200 2567753061241 2650583805152 2736086508544 3313229756440 3420108135680 4141537195550 4275135169600 5135506122482 5301167610304 5472173017088 6626459512880 6840216271360 8283074391100 8550270339200 10271012244964 10602335220608 12838765306205 13252919025760 13680432542720 16566148782200 17100540678400 20542024489928 21204670441216 25677530612410 26505838051520 27360865085440 33132297564400 34201081356800 41084048979856 42409340882432 51355061224820 53011676103040 64193826531025 66264595128800 68402162713600 82168097959712 84818681764864 102710122449640 106023352206080 128387653062050 132529190257600 136804325427200 164336195919424 169637363529728 205420244899280 212046704412160 256775306124100 265058380515200 328672391838848 410840489798560 424093408824320 513550612248200 530116761030400 657344783677696 821680979597120 848186817648640 1027101224496400 1060233522060800 1314689567355392 1643361959194240 2054202448992800 2120467044121600 2629379134710784 3286723918388480 4108404897985600 4240934088243200 5258758269421568 6573447836776960 8216809795971200 13146895673553920 16433619591942400 26293791347107840 32867239183884800 65734478367769600 131468956735539200
- Sum of all divisors σ(n): 336824069147989605
- Sum of proper divisors (its aliquot sum) s(n): 205355112412450405
- 131468956735539200 is an abundant number, because the sum of its proper divisors (205355112412450405) is greater than itself. Its abundance is 73886155676911205
Bases of 131468956735539200
- Binary: 1110100110001001001010001110100010011011010001000000000002
- Hexadecimal: 0x1D31251D1368800
- Base-36: ZYHUSY4GU0W
Squares and roots of 131468956735539200
- 131468956735539200 squared (1314689567355392002) is 17284086585131077983168314736640000
- 131468956735539200 cubed (1314689567355392003) is 2272320831473911165159768905582711434576396288000000
-
The
square root of 131468956735539200 is 362586481.7330331745 -
The
cube root of 131468956735539200 is 508480.6205520575
Scales and comparisons
How big is 131468956735539200?- 131,468,956,735,539,200 seconds is equal to 4,180,306,164 years, 2 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 131,468,956,735,539,200 would take you about twelve billion, five hundred forty million, nine hundred eighteen thousand, four hundred ninety-two 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 131468956735539200 cubic inches would be around 42373.4 feet tall.
Recreational maths with 131468956735539200
- 131468956735539200 backwards is 002935537659864131
- The number of decimal digits it has is: 18
- The sum of 131468956735539200's digits is 77
- More coming soon!
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