134788326800400
134,788,326,800,400 is an even composite number composed of eight prime numbers multiplied together.
What does the number 134788326800400 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2880 divisors.
134788326800400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 134788326800400:
24 × 32 × 52 × 73 × 13 × 23 × 181 × 2017
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 13 × 23 × 181 × 2017)See below for interesting mathematical facts about the number 134788326800400 from the Numbermatics database.
Names of 134788326800400
- Cardinal: 134788326800400 can be written as One hundred thirty-four trillion, seven hundred eighty-eight billion, three hundred twenty-six million, eight hundred thousand, four hundred.
Scientific notation
- Scientific notation: 1.347883268004 × 1014
Factors of 134788326800400
Divisors of 134788326800400
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 23 24 25 26 28 30 35 36 39 40 42 45 46 48 49 50 52 56 60 63 65 69 70 72 75 78 80 84 90 91 92 98 100 104 105 112 115 117 120 126 130 138 140 144 147 150 156 161 168 175 180 181 182 184 195 196 200 207 208 210 225 230 234 240 245 252 260 273 276 280 294 299 300 312 315 322 325 336 343 345 350 360 362 364 368 390 392 400 414 420 441 450 455 460 468 483 490 504 520 525 543 546 552 560 575 585 588 598 600 624 630 637 644 650 686 690 700 720 724 728 735 780 784 805 819 828 840 882 897 900 905 910 920 936 966 975 980 1008 1029 1035 1040 1050 1086 1092 1104 1127 1150 1170 1176 1196 1200 1225 1260 1267 1274 1288 1300 1365 1372 1380 1400 1448 1449 1456 1470 1495 1560 1575 1610 1629 1638 1656 1680 1715 1725 1764 1794 1800 1810 1820 1840 1872 1911 1932 1950 1960 2017 2058 2070 2093 2100 2172 2184 2205 2254 2275 2300 2340 2352 2353 2392 2415 2450 2520 2534 2548 2576 2600 2691 2715 2730 2744 2760 2800 2896 2898 2925 2940 2990 3087 3120 3150 3185 3220 3258 3276 3312 3381 3430 3450 3528 3588 3600 3620 3640 3675 3801 3822 3864 3900 3920 4025 4034 4095 4116 4140 4163 4186 4200 4344 4368 4410 4459 4485 4508 4525 4550 4600 4680 4706 4784 4830 4900 5040 5068 5096 5145 5175 5200 5382 5430 5460 5488 5520 5635 5733 5796 5850 5880 5980 6051 6174 6279 6300 6335 6370 6440 6516 6552 6762 6825 6860 6900 7056 7059 7176 7240 7245 7280 7350 7475 7602 7644 7728 7800 7889 8050 8068 8145 8190 8232 8280 8326 8372 8400 8575 8688 8820 8869 8918 8970 9016 9050 9100 9200 9360 9412 9555 9660 9800 10085 10136 10143 10192 10290 10350 10465 10764 10860 10920 11025 11270 11403 11466 11592 11700 11760 11765 11960 12075 12102 12348 12489 12558 12600 12670 12740 12880 13032 13104 13377 13455 13524 13575 13650 13720 13800 14118 14119 14352 14480 14490 14651 14700 14950 15204 15288 15435 15600 15778 15925 16100 16136 16290 16380 16464 16471 16560 16652 16744 16905 17150 17640 17738 17836 17940 18032 18100 18153 18200 18824 18837 19005 19110 19320 19600 20170 20272 20286 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26046053488 26197925520 26449828650 26595960300 26743715635 27507821796 27906485880 28174817475 28641803400 28800924530 29301810174 29623808088 29787475536 29899806300 30053138640 30228375600 30564246440 30858133425 31028620350 32092458762 32199791400 32377690800 32557566860 32747406900 32915342320 33413070600 33487783056 34384777245 34561109436 34883107350 35266438200 35461280400 36677095728 37029760110 37234344420 37441201889 37566423300 38205308050 39069080232 39296888280 39866408400 40696958575 41144177900 41371493800 41859728820 42319725840 42789945016 43201386795 43663209200 45079707960 45846369660 46081479248 46510809800 46542930525 48138688143 48836350290 49121110350 49373013480 49645792560 50088564400 51841664154 52324661025 52899657300 53191920600 53487431270 55015643592 55812971760 56349634950 57283606800 57307962075 57601849060 58603620348 59247616176 59799612600 61128492880 61716266850 62057240700 64184917524 64399582800 65115133720 65494813800 66826141200 68769554490 69122218872 69766214700 70532876400 72002311325 73254525435 74059520220 74468688840 74882403778 75132846600 76410616100 78138160464 78593776560 80231146905 81393917150 82288355800 82742987600 83719457640 85579890032 86402773590 90159415920 91692739320 92574400275 93021619600 93085861050 96277376286 97672700580 98242220700 98746026960 103683328308 104649322050 105799314600 106383841200 106974862540 110031287184 112323605667 112699269900 114615924150 115203698120 117207240696 119599225200 122090875725 123432533700 124114481400 128369835048 129604160385 130230267440 130989627600 133718578175 137539108980 138244437744 139532429400 144004622650 146509050870 148119040440 148937377680 149764807556 150265693200 152821232200 160462293810 162787834300 164576711600 167438915280 171923886225 172805547180 183385478640 185148800550 186171722100 187206009445 192554752572 195345401160 196484441400 207366656616 209298644100 211598629200 213949725080 216006933975 224647211334 225398539800 229231848300 230407396240 234414481392 240693440715 244181751450 246865067400 248228962800 256739670096 259208320770 267437156350 275078217960 279064858800 288009245300 293018101740 296238080880 299529615112 305642464400 320924587620 325575668600 336970817001 343847772450 345611094360 366272627175 370297601100 372343444200 374412018890 385109505144 390690802320 392968882800 401155734525 414733313232 418597288200 427899450160 432013867950 449294422668 450797079600 458463696600 481386881430 488363502900 493730134800 518416641540 534874312700 550156435920 561618028335 576018490600 586036203480 599059230224 641849175240 648020801925 651151337200 673941634002 687695544900 691222188720 732545254350 740595202200 744686888400 748824037780 770219010288 802311469050 837194576400 864027735900 898588845336 916927393200 936030047225 962773762860 976727005800 1036833283080 1069748625400 1123236056670 1152036981200 1172072406960 1203467203575 1283698350480 1296041603850 1347883268004 1375391089800 1465090508700 1481190404400 1497648075560 1604622938100 1684854085005 1728055471800 1797177690672 1872060094450 1925547525720 1953454011600 2073666566160 2139497250800 2246472113340 2406934407150 2592083207700 2695766536008 2750782179600 2808090141675 2930181017400 2995296151120 3209245876200 3369708170010 3456110943600 3744120188900 3851095051440 4492944226680 4813868814300 5184166415400 5391533072016 5616180283350 5860362034800 6418491752400 6739416340020 7488240377800 8424270425025 8985888453360 9627737628600 10368332830800 11232360566700 13478832680040 14976480755600 16848540850050 19255475257200 22464721133400 26957665360080 33697081700100 44929442266800 67394163400200 134788326800400
- Sum of all divisors σ(n): 616678146739200
- Sum of proper divisors (its aliquot sum) s(n): 481889819938800
- 134788326800400 is an abundant number, because the sum of its proper divisors (481889819938800) is greater than itself. Its abundance is 347101493138400
Bases of 134788326800400
- Binary: 111101010010110110110100101011010111100000100002
- Hexadecimal: 0x7A96DA56BC10
- Base-36: 1BS0WHN8K0
Squares and roots of 134788326800400
- 134788326800400 squared (1347883268004002) is 18167893041651428901440160000
- 134788326800400 cubed (1347883268004003) is 2448819904572825967670941848284864064000000
-
The
square root of 134788326800400 is 11609837.5010333371 -
The
cube root of 134788326800400 is 51272.4528135503
Scales and comparisons
How big is 134788326800400?- 134,788,326,800,400 seconds is equal to 4,285,851 years, 44 weeks, 6 days, 17 hours.
-
To count from 1 to 134,788,326,800,400 would take you about ten million, seven hundred fourteen thousand, six hundred twenty-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 134788326800400 cubic inches would be around 4272.7 feet tall.
Recreational maths with 134788326800400
- 134788326800400 backwards is 004008623887431
- The number of decimal digits it has is: 15
- The sum of 134788326800400's digits is 54
- More coming soon!
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"Number 134788326800400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 134788326800400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/134788326800400/
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The information we have on file for 134788326800400 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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