29844451993053476400
29,844,451,993,053,476,400 is an even composite number composed of six prime numbers multiplied together.
29844451993053476400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 29844451993053476400:
24 × 3 × 52 × 61 × 317 × 1286154866881
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 61 × 317 × 1286154866881)See below for interesting mathematical facts about the number 29844451993053476400 from the Numbermatics database.
Names of 29844451993053476400
- Cardinal: 29844451993053476400 can be written as Twenty-nine quintillion, eight hundred forty-four quadrillion, four hundred fifty-one trillion, nine hundred ninety-three billion, fifty-three million, four hundred seventy-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.98444519930534764 × 1019
Factors of 29844451993053476400
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 10
- Sum of prime factors: 1286154867269
Divisors of 29844451993053476400
- Number of divisors d(n): 240
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 61 75 80 100 120 122 150 183 200 240 244 300 305 317 366 400 488 600 610 634 732 915 951 976 1200 1220 1268 1464 1525 1585 1830 1902 2440 2536 2928 3050 3170 3660 3804 4575 4755 4880 5072 6100 6340 7320 7608 7925 9150 9510 12200 12680 14640 15216 15850 18300 19020 19337 23775 24400 25360 31700 36600 38040 38674 47550 58011 63400 73200 76080 77348 95100 96685 116022 126800 154696 190200 193370 232044 290055 309392 380400 386740 464088 483425 580110 773480 928176 966850 1160220 1450275 1546960 1933700 2320440 2900550 3867400 4640880 5801100 7734800 11602200 23204400 1286154866881 2572309733762 3858464600643 5144619467524 6430774334405 7716929201286 10289238935048 12861548668810 15433858402572 19292323003215 20578477870096 25723097337620 30867716805144 32153871672025 38584646006430 51446194675240 61735433610288 64307743344050 77169292012860 78455446879741 96461615016075 102892389350480 128615486688100 154338584025720 156910893759482 192923230032150 235366340639223 257230973376200 308677168051440 313821787518964 385846460064300 392277234398705 407711092801277 470732681278446 514461946752400 627643575037928 771692920128600 784554468797410 815422185602554 941465362556892 1176831703196115 1223133278403831 1255287150075856 1543385840257200 1569108937594820 1630844371205108 1882930725113784 1961386171993525 2038555464006385 2353663406392230 2446266556807662 3138217875189640 3261688742410216 3765861450227568 3922772343987050 4077110928012770 4707326812784460 4892533113615324 5884158515980575 6115666392019155 6276435750379280 6523377484820432 7845544687974100 8154221856025540 9414653625568920 9785066227230648 10192777320031925 11768317031961150 12231332784038310 15691089375948200 16308443712051080 18829307251137840 19570132454461296 20385554640063850 23536634063922300 24462665568076620 24870376660877897 30578331960095775 31382178751896400 32616887424102160 40771109280127700 47073268127844600 48925331136153240 49740753321755794 61156663920191550 74611129982633691 81542218560255400 94146536255689200 97850662272306480 99481506643511588 122313327840383100 124351883304389485 149222259965267382 163084437120510800 198963013287023176 244626655680766200 248703766608778970 298444519930534764 373055649913168455 397926026574046352 489253311361532400 497407533217557940 596889039861069528 621759416521947425 746111299826336910 994815066435115880 1193778079722139056 1243518833043894850 1492222599652673820 1865278249565842275 1989630132870231760 2487037666087789700 2984445199305347640 3730556499131684550 4974075332175579400 5968890398610695280 7461112998263369100 9948150664351158800 14922225996526738200 29844451993053476400
- Sum of all divisors σ(n): 97475496042332548128
- Sum of proper divisors (its aliquot sum) s(n): 67631044049279071728
- 29844451993053476400 is an abundant number, because the sum of its proper divisors (67631044049279071728) is greater than itself. Its abundance is 37786592056225595328
Bases of 29844451993053476400
- Binary: 110011110001011001100101011110111000010100010011010110110001100002
- Hexadecimal: 0x19E2CCAF70A26B630
- Base-36: 6AQSFAC10DSMO
Squares and roots of 29844451993053476400
- 29844451993053476400 squared (298444519930534764002) is 890691314765673619754119790125356960000
- 29844451993053476400 cubed (298444519930534764003) is 26582194184153829354083299609126870456253080918935744000000
-
The
square root of 29844451993053476400 is 5463007595.9176073985 -
The
cube root of 29844451993053476400 is 3101852.9329323443
Scales and comparisons
How big is 29844451993053476400?- 29,844,451,993,053,476,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 29,844,451,993,053,476,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 29844451993053476400 cubic inches would be around 258487.7 feet tall.
Recreational maths with 29844451993053476400
- 29844451993053476400 backwards is 00467435039915444892
- The number of decimal digits it has is: 20
- The sum of 29844451993053476400's digits is 87
- More coming soon!
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