29697916828074645120
29,697,916,828,074,645,120 is an even composite number composed of six prime numbers multiplied together.
29697916828074645120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 29697916828074645120:
27 × 3 × 5 × 67 × 137993 × 1672988281
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 67 × 137993 × 1672988281)See below for interesting mathematical facts about the number 29697916828074645120 from the Numbermatics database.
Names of 29697916828074645120
- Cardinal: 29697916828074645120 can be written as Twenty-nine quintillion, six hundred ninety-seven quadrillion, nine hundred sixteen trillion, eight hundred twenty-eight billion, seventy-four million, six hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.969791682807464512 × 1019
Factors of 29697916828074645120
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1673126351
Divisors of 29697916828074645120
- Number of divisors d(n): 256
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 268 320 335 384 402 480 536 640 670 804 960 1005 1072 1340 1608 1920 2010 2144 2680 3216 4020 4288 5360 6432 8040 8576 10720 12864 16080 21440 25728 32160 42880 64320 128640 137993 275986 413979 551972 689965 827958 1103944 1379930 1655916 2069895 2207888 2759860 3311832 4139790 4415776 5519720 6623664 8279580 8831552 9245531 11039440 13247328 16559160 17663104 18491062 22078880 26494656 27736593 33118320 36982124 44157760 46227655 52989312 55473186 66236640 73964248 88315520 92455310 110946372 132473280 138682965 147928496 184910620 221892744 264946560 277365930 295856992 369821240 443785488 554731860 591713984 739642480 887570976 1109463720 1183427968 1479284960 1672988281 1775141952 2218927440 2958569920 3345976562 3550283904 4437854880 5018964843 5917139840 6691953124 8364941405 8875709760 10037929686 13383906248 16729882810 17751419520 20075859372 25094824215 26767812496 33459765620 40151718744 50189648430 53535624992 66919531240 80303437488 100379296860 107071249984 112090214827 133839062480 160606874976 200758593720 214142499968 224180429654 267678124960 321213749952 336270644481 401517187440 448360859308 535356249920 560451074135 642427499904 672541288962 803034374880 896721718616 1070712499840 1120902148270 1345082577924 1606068749760 1681353222405 1793443437232 2241804296540 2690165155848 3212137499520 3362706444810 3586886874464 4483608593080 5380330311696 6725412889620 7173773748928 8967217186160 10760660623392 13450825779240 14347547497856 17934434372320 21521321246784 26901651558480 35868868744640 43042642493568 53803303116960 71737737489280 107606606233920 215213212467840 230860671860033 461721343720066 692582015580099 923442687440132 1154303359300165 1385164031160198 1846885374880264 2308606718600330 2770328062320396 3462910077900495 3693770749760528 4617213437200660 5540656124640792 6925820155800990 7387541499521056 9234426874401320 11081312249281584 13851640311601980 14775082999042112 15467665014622211 18468853748802640 22162624498563168 27703280623203960 29550165998084224 30935330029244422 36937707497605280 44325248997126336 46402995043866633 55406561246407920 61870660058488844 73875414995210560 77338325073111055 88650497994252672 92805990087733266 110813122492815840 123741320116977688 147750829990421120 154676650146222110 185611980175466532 221626244985631680 232014975219333165 247482640233955376 309353300292444220 371223960350933064 443252489971263360 464029950438666330 494965280467910752 618706600584888440 742447920701866128 928059900877332660 989930560935821504 1237413201169776880 1484895841403732256 1856119801754665320 1979861121871643008 2474826402339553760 2969791682807464512 3712239603509330640 4949652804679107520 5939583365614929024 7424479207018661280 9899305609358215040 14848958414037322560 29697916828074645120
- Sum of all divisors σ(n): 96075673489501937280
- Sum of proper divisors (its aliquot sum) s(n): 66377756661427292160
- 29697916828074645120 is an abundant number, because the sum of its proper divisors (66377756661427292160) is greater than itself. Its abundance is 36679839833352647040
Bases of 29697916828074645120
- Binary: 110011100001001000011001000000010010000100111110000010110100000002
- Hexadecimal: 0x19C243202427C1680
- Base-36: 69MPKWMK9TU2O
Squares and roots of 29697916828074645120
- 29697916828074645120 squared (296979168280746451202) is 881966263927239190714757730613939814400
- 29697916828074645120 cubed (296979168280746451203) is 26192560751278880607115705396602419962021561934318665728000
-
The
square root of 29697916828074645120 is 5449579509.2901108273 -
The
cube root of 29697916828074645120 is 3096767.9400649041
Scales and comparisons
How big is 29697916828074645120?- 29,697,916,828,074,645,120 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 29,697,916,828,074,645,120 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 29697916828074645120 cubic inches would be around 258064 feet tall.
Recreational maths with 29697916828074645120
- 29697916828074645120 backwards is 02154647082861979692
- 29697916828074645120 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 29697916828074645120's digits is 96
- More coming soon!
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