13135793006592000
13,135,793,006,592,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 13135793006592000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 2040 divisors.
13135793006592000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand and forty divisors.
Prime factorization of 13135793006592000:
214 × 316 × 53 × 149
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 149)See below for interesting mathematical facts about the number 13135793006592000 from the Numbermatics database.
Names of 13135793006592000
- Cardinal: 13135793006592000 can be written as Thirteen quadrillion, one hundred thirty-five trillion, seven hundred ninety-three billion, six million, five hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.3135793006592 × 1016
Factors of 13135793006592000
Divisors of 13135793006592000
- Number of divisors d(n): 2040
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 149 150 160 162 180 192 200 216 225 240 243 250 256 270 288 298 300 320 324 360 375 384 400 405 432 447 450 480 486 500 512 540 576 596 600 640 648 675 720 729 745 750 768 800 810 864 894 900 960 972 1000 1024 1080 1125 1152 1192 1200 1215 1280 1296 1341 1350 1440 1458 1490 1500 1536 1600 1620 1728 1788 1800 1920 1944 2000 2025 2048 2160 2187 2235 2250 2304 2384 2400 2430 2560 2592 2682 2700 2880 2916 2980 3000 3072 3200 3240 3375 3456 3576 3600 3645 3725 3840 3888 4000 4023 4050 4096 4320 4374 4470 4500 4608 4768 4800 4860 5120 5184 5364 5400 5760 5832 5960 6000 6075 6144 6400 6480 6561 6705 6750 6912 7152 7200 7290 7450 7680 7776 8000 8046 8100 8192 8640 8748 8940 9000 9216 9536 9600 9720 10125 10240 10368 10728 10800 10935 11175 11520 11664 11920 12000 12069 12150 12288 12800 12960 13122 13410 13500 13824 14304 14400 14580 14900 15360 15552 16000 16092 16200 16384 17280 17496 17880 18000 18225 18432 18625 19072 19200 19440 19683 20115 20250 20480 20736 21456 21600 21870 22350 23040 23328 23840 24000 24138 24300 24576 25600 25920 26244 26820 27000 27648 28608 28800 29160 29800 30375 30720 31104 32000 32184 32400 32805 33525 34560 34992 35760 36000 36207 36450 36864 37250 38144 38400 38880 39366 40230 40500 40960 41472 42912 43200 43740 44700 46080 46656 47680 48000 48276 48600 49152 51200 51840 52488 53640 54000 54675 55296 55875 57216 57600 58320 59049 59600 60345 60750 61440 62208 64000 64368 64800 65610 67050 69120 69984 71520 72000 72414 72900 73728 74500 76288 76800 77760 78732 80460 81000 81920 82944 85824 86400 87480 89400 91125 92160 93312 95360 96000 96552 97200 98415 100575 102400 103680 104976 107280 108000 108621 109350 110592 111750 114432 115200 116640 118098 119200 120690 121500 122880 124416 128000 128736 129600 131220 134100 138240 139968 143040 144000 144828 145800 147456 149000 152576 153600 155520 157464 160920 162000 164025 165888 167625 171648 172800 174960 177147 178800 181035 182250 184320 186624 190720 192000 193104 194400 196830 201150 204800 207360 209952 214560 216000 217242 218700 221184 223500 228864 230400 233280 236196 238400 241380 243000 245760 248832 256000 257472 259200 262440 268200 273375 276480 279936 286080 288000 289656 291600 295245 298000 301725 305152 307200 311040 314928 321840 324000 325863 328050 331776 335250 343296 345600 349920 354294 357600 362070 364500 368640 373248 381440 384000 386208 388800 393660 402300 409600 414720 419904 429120 432000 434484 437400 442368 447000 457728 460800 466560 472392 476800 482760 486000 492075 497664 502875 512000 514944 518400 524880 531441 536400 543105 546750 552960 559872 572160 576000 579312 583200 590490 596000 603450 610304 614400 622080 629856 643680 648000 651726 656100 663552 670500 686592 691200 699840 708588 715200 724140 729000 737280 746496 762880 768000 772416 777600 787320 804600 820125 829440 839808 858240 864000 868968 874800 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10135642752000 10262338286400 10811352268800 10946494172160 11019960576000 11402598096000 11676260450304 12162771302400 12827922858000 13135793006592 13514190336000 13683117715200 14595325562880 14693280768000 15203464128000 16217028403200 16419741258240 17103897144000 17514390675456 17631936921600 18018920448000 18244156953600 19460434083840 20271285504000 20524676572800 21892988344320 22039921152000 22805196192000 24325542604800 25655845716000 26271586013184 27028380672000 27366235430400 29190651125760 29386561536000 30406928256000 32434056806400 32839482516480 34207794288000 35028781350912 36488313907200 40542571008000 41049353145600 43785976688640 44079842304000 45610392384000 48651085209600 51311691432000 52543172026368 54056761344000 54732470860800 58381302251520 60813856512000 65678965032960 68415588576000 72976627814400 81085142016000 82098706291200 87571953377280 88159684608000 91220784768000 97302170419200 102623382864000 105086344052736 109464941721600 121627713024000 131357930065920 136831177152000 145953255628800 162170284032000 164197412582400 175143906754560 182441569536000 205246765728000 218929883443200 243255426048000 262715860131840 273662354304000 291906511257600 328394825164800 364883139072000 410493531456000 437859766886400 486510852096000 525431720263680 547324708608000 656789650329600 729766278144000 820987062912000 875719533772800 1094649417216000 1313579300659200 1459532556288000 1641974125824000 2189298834432000 2627158601318400 3283948251648000 4378597668864000 6567896503296000 13135793006592000
- Sum of all divisors σ(n): 49508967552571800
- Sum of proper divisors (its aliquot sum) s(n): 36373174545979800
- 13135793006592000 is an abundant number, because the sum of its proper divisors (36373174545979800) is greater than itself. Its abundance is 23237381539387800
Bases of 13135793006592000
- Binary: 1011101010101011101111001001000000000001000000000000002
- Hexadecimal: 0x2EAAEF24004000
- Base-36: 3LC90000000
Squares and roots of 13135793006592000
- 13135793006592000 squared (131357930065920002) is 172549057912031294955454464000000
- 13135793006592000 cubed (131357930065920003) is 2266568708214898689812904356376307826688000000000
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The
square root of 13135793006592000 is 114611487.2366291215 -
The
cube root of 13135793006592000 is 235949.3392082545
Scales and comparisons
How big is 13135793006592000?- 13,135,793,006,592,000 seconds is equal to 417,677,585 years, 48 weeks, 4 days.
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To count from 1 to 13,135,793,006,592,000 would take you about one billion, two hundred fifty-three million, thirty-two thousand, seven hundred fifty-seven 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 13135793006592000 cubic inches would be around 19662.4 feet tall.
Recreational maths with 13135793006592000
- 13135793006592000 backwards is 00029560039753131
- 13135793006592000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13135793006592000's digits is 54
- More coming soon!
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The information we have on file for 13135793006592000 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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