13729496168294400
13,729,496,168,294,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13729496168294400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2304 divisors.
13729496168294400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 13729496168294400:
211 × 3 × 52 × 133 × 23 × 877 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 13 × 23 × 877 × 2017)See below for interesting mathematical facts about the number 13729496168294400 from the Numbermatics database.
Names of 13729496168294400
- Cardinal: 13729496168294400 can be written as Thirteen quadrillion, seven hundred twenty-nine trillion, four hundred ninety-six billion, one hundred sixty-eight million, two hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.37294961682944 × 1016
Factors of 13729496168294400
Divisors of 13729496168294400
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 23 24 25 26 30 32 39 40 46 48 50 52 60 64 65 69 75 78 80 92 96 100 104 115 120 128 130 138 150 156 160 169 184 192 195 200 208 230 240 256 260 276 299 300 312 320 325 338 345 368 384 390 400 416 460 480 507 512 520 552 575 598 600 624 640 650 676 690 736 768 780 800 832 845 877 897 920 960 975 1014 1024 1040 1104 1150 1196 1200 1248 1280 1300 1352 1380 1472 1495 1536 1560 1600 1664 1690 1725 1754 1794 1840 1920 1950 2017 2028 2048 2080 2197 2208 2300 2392 2400 2496 2535 2560 2600 2631 2704 2760 2944 2990 3072 3120 3200 3328 3380 3450 3508 3588 3680 3840 3887 3900 4034 4056 4160 4225 4385 4394 4416 4485 4600 4784 4800 4992 5070 5120 5200 5262 5408 5520 5888 5980 6051 6144 6240 6400 6591 6656 6760 6900 7016 7176 7360 7475 7680 7774 7800 8068 8112 8320 8450 8770 8788 8832 8970 9200 9568 9600 9984 10085 10140 10240 10400 10524 10816 10985 11040 11401 11661 11776 11960 12102 12480 12675 12800 13155 13182 13312 13520 13800 14032 14352 14720 14950 15360 15548 15600 16136 16224 16640 16900 17540 17576 17664 17940 18400 19136 19200 19435 19968 20170 20171 20280 20800 21048 21632 21925 21970 22080 22425 22802 23322 23552 23920 24204 24960 25350 25600 26221 26310 26364 26624 27040 27600 28064 28704 29440 29900 30255 30720 31096 31200 32272 32448 32955 33280 33800 34203 35080 35152 35328 35880 36800 38272 38400 38870 39936 40340 40342 40560 41600 42096 43264 43850 43940 44160 44850 45604 46391 46644 47104 47840 48408 49920 50425 50531 50700 51200 52442 52620 52728 54080 54925 55200 56128 57005 57408 58305 58880 59800 60510 60513 62192 62400 64544 64896 65775 65910 66560 67600 68406 70160 70304 70656 71760 73600 76544 76800 77740 78663 79872 80680 80684 81120 83200 84192 86528 87700 87880 88320 89700 91208 92782 93288 95680 96816 97175 99840 100850 100855 101062 101400 104884 105240 105456 108160 109850 110400 112256 114010 114816 116610 117760 119600 121020 121026 124384 124800 129088 129792 131105 131550 131820 133120 135200 136812 139173 140320 140608 141312 143520 147200 148213 151275 151593 153088 153600 155480 157326 161360 161368 162240 164775 166400 168384 171015 173056 175400 175760 176640 179400 182416 185564 186576 191360 193632 194350 199680 201700 201710 202124 202800 209768 210480 210912 216320 219700 220800 224512 228020 229632 231955 233220 235520 239200 242040 242052 248768 249600 252655 258176 259584 262210 262223 263100 263640 270400 273624 278346 280640 281216 285025 287040 291525 294400 296426 302550 302565 303186 306176 310960 314652 322720 322736 324480 329550 332800 336768 340873 342030 346112 350800 351520 353280 358800 364832 371128 373152 382720 387264 388700 393315 399360 403400 403420 404248 405600 419536 420960 421824 432640 439400 441600 444639 449024 456040 459264 463910 466440 478400 484080 484104 497536 499200 504275 505310 516352 519168 524420 524446 526200 527280 540800 547248 556692 561280 562432 570050 574080 583050 588800 592852 603083 605100 605130 606372 612352 621920 629304 645440 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1043671316480 1072616888148 1083194963968 1100119885280 1134481587200 1147951184640 1165887921900 1177385830400 1204236134400 1243613783360 1249840343040 1269369098400 1304589145600 1320143862336 1340771110185 1353993704960 1361377904640 1375149856600 1430155850864 1434938980800 1492336540032 1530601579520 1554517229200 1562300428800 1565506974720 1624792445952 1650179827920 1692492131200 1701722380800 1760191816448 1766078745600 1787694813580 1836721895424 1865420675040 1913251974400 1956883718400 1989782053376 2030990557440 2062724784900 2083067238400 2145233776296 2200239770560 2234618516975 2268963174400 2295902369280 2331775843800 2487227566720 2538738196800 2609178291200 2640287724672 2681542220370 2707987409920 2750299713200 2860311701728 2869877961600 2984673080064 3061203159040 3109034458400 3124600857600 3131013949440 3249584891904 3300359655840 3384984262400 3403444761600 3520383632896 3532157491200 3575389627160 3730841350080 3826503948800 3913767436800 3979564106752 4061981114880 4125449569800 4290467552592 4400479541120 4469237033950 4591804738560 4663551687600 4974455133440 5077476393600 5218356582400 5280575449344 5363084440740 5415974819840 5500599426400 5720623403456 5739755923200 5969346160128 6218068916800 6249201715200 6600719311680 6703855550925 6769968524800 6806889523200 7040767265792 7150779254320 7461682700160 7653007897600 7827534873600 7959128213504 8123962229760 8250899139600 8580935105184 8800959082240 8938474067900 9183609477120 9327103375200 9948910266880 10154952787200 10561150898688 10726168881480 11001198852800 11441246806912 11479511846400 11938692320256 12436137833600 13201438623360 13407711101850 13539937049600 14081534531584 14301558508640 14923365400320 15306015795200 15655069747200 16247924459520 16501798279200 17161870210368 17601918164480 17876948135800 18654206750400 19897820533760 20309905574400 21122301797376 21452337762960 22002397705600 22882493613824 22959023692800 23877384640512 24872275667200 26402877246720 26815422203700 27079874099200 28603117017280 29846730800640 33003596558400 34323740420736 35203836328960 35753896271600 37308413500800 39795641067520 40619811148800 42244603594752 42904675525920 44004795411200 45764987227648 45918047385600 49744551334400 52805754493440 53630844407400 57206234034560 59693461601280 66007193116800 68647480841472 70407672657920 71507792543200 74616827001600 81239622297600 85809351051840 88009590822400 91529974455296 99489102668800 105611508986880 107261688814800 114412468069120 119386923202560 132014386233600 137294961682944 143015585086400 149233654003200 171618702103680 176019181644800 183059948910592 198978205337600 211223017973760 214523377629600 228824936138240 264028772467200 274589923365888 286031170172800 298467308006400 343237404207360 352038363289600 429046755259200 457649872276480 528057544934400 549179846731776 572062340345600 596934616012800 686474808414720 858093510518400 915299744552960 1056115089868800 1144124680691200 1372949616829440 1716187021036800 2288249361382400 2745899233658880 3432374042073600 4576498722764800 6864748084147200 13729496168294400
- Sum of all divisors σ(n): 51390100598054400
- Sum of proper divisors (its aliquot sum) s(n): 37660604429760000
- 13729496168294400 is an abundant number, because the sum of its proper divisors (37660604429760000) is greater than itself. Its abundance is 23931108261465600
Bases of 13729496168294400
- Binary: 1100001100011011100111011011100000111001101000000000002
- Hexadecimal: 0x30C6E76E0E6800
- Base-36: 3R6P7GTIL1C
Squares and roots of 13729496168294400
- 13729496168294400 squared (137294961682944002) is 188499065035210611567805071360000
- 13729496168294400 cubed (137294961682944003) is 2587997191128001001339482203453648361488384000000
-
The
square root of 13729496168294400 is 117172932.7459819109 -
The
cube root of 13729496168294400 is 239451.8518355275
Scales and comparisons
How big is 13729496168294400?- 13,729,496,168,294,400 seconds is equal to 436,555,510 years, 1 week, 4 days, 13 hours, 20 minutes.
-
To count from 1 to 13,729,496,168,294,400 would take you about one billion, three hundred nine million, six hundred sixty-six thousand, five hundred thirty 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 13729496168294400 cubic inches would be around 19954.3 feet tall.
Recreational maths with 13729496168294400
- 13729496168294400 backwards is 00449286169492731
- 13729496168294400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13729496168294400's digits is 75
- More coming soon!
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"Number 13729496168294400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 13729496168294400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/13729496168294400/
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The information we have on file for 13729496168294400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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