6448742730144000
6,448,742,730,144,000 is an even composite number composed of seven prime numbers multiplied together.
6448742730144000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, five hundred ninety-two divisors.
Prime factorization of 6448742730144000:
28 × 32 × 53 × 112 × 13 × 4561 × 3121
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 13 × 4561 × 3121)See below for interesting mathematical facts about the number 6448742730144000 from the Numbermatics database.
Names of 6448742730144000
- Cardinal: 6448742730144000 can be written as Six quadrillion, four hundred forty-eight trillion, seven hundred forty-two billion, seven hundred thirty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 6.448742730144 × 1015
Factors of 6448742730144000
Divisors of 6448742730144000
- Number of divisors d(n): 2592
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 30 32 33 36 39 40 44 45 48 50 52 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 110 117 120 121 125 128 130 132 143 144 150 156 160 165 176 180 192 195 198 200 208 220 225 234 240 242 250 256 260 264 275 286 288 300 312 320 325 330 352 360 363 375 384 390 396 400 416 429 440 450 468 480 484 495 500 520 528 550 572 576 585 600 605 624 640 650 660 704 715 720 726 750 768 780 792 800 825 832 858 880 900 936 960 968 975 990 1000 1040 1056 1089 1100 1125 1144 1152 1170 1200 1210 1248 1280 1287 1300 1320 1375 1408 1430 1440 1452 1500 1560 1573 1584 1600 1625 1650 1664 1716 1760 1800 1815 1872 1920 1936 1950 1980 2000 2080 2112 2145 2178 2200 2250 2288 2304 2340 2400 2420 2475 2496 2574 2600 2640 2750 2816 2860 2880 2904 2925 3000 3025 3120 3121 3146 3168 3200 3250 3300 3328 3432 3520 3575 3600 3630 3744 3840 3872 3900 3960 4000 4125 4160 4224 4290 4356 4400 4500 4561 4576 4680 4719 4800 4840 4875 4950 4992 5148 5200 5280 5445 5500 5720 5760 5808 5850 6000 6050 6240 6242 6292 6336 6400 6435 6500 6600 6864 7040 7150 7200 7260 7488 7744 7800 7865 7920 8000 8250 8320 8448 8580 8712 8800 9000 9075 9122 9152 9360 9363 9438 9600 9680 9750 9900 9984 10296 10400 10560 10725 10890 11000 11440 11520 11616 11700 12000 12100 12375 12480 12484 12584 12672 12870 13000 13200 13683 13728 14080 14157 14300 14400 14520 14625 14976 15125 15488 15600 15605 15730 15840 16000 16500 16640 17160 17424 17600 17875 18000 18150 18244 18304 18720 18726 18876 19200 19360 19500 19800 20592 20800 21120 21450 21780 22000 22805 22880 23232 23400 23595 24000 24200 24750 24960 24968 25168 25344 25740 26000 26400 27225 27366 27456 28089 28314 28600 28800 29040 29250 29952 30250 30976 31200 31210 31460 31680 32000 32175 33000 34320 34331 34848 35200 35750 36000 36300 36488 36608 37440 37452 37752 38720 39000 39325 39600 40573 41049 41184 41600 42240 42900 43560 44000 45375 45610 45760 46464 46800 46815 47190 48000 48400 49500 49920 49936 50171 50336 51480 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413380944240 416370269250 426363155712 430605150250 440939673856 444128287200 447829356260 450961030080 455516192000 458007296175 469751073000 471295968000 488541115920 496057133088 501067811200 508896995750 512455716000 516560616000 516726180300 521110523648 532953944640 537395227512 551174592320 555160359000 559786695325 563701287600 586249339104 592171049600 601281373440 610676394900 620071416360 626334764000 645907725375 651388154560 661409510784 666192430800 671744034390 683274288000 688747488000 688968240400 704626609500 706943952000 710605259520 716526970016 732811673880 740213812000 751601716800 763345493625 775089270450 781665785472 806092841268 814235193200 819929145600 826761888480 832740538500 861210300500 888256574400 895658712520 901922060160 916014592350 939502146000 977082231840 992114266176 1002135622400 1007616051585 1017793991500 1024911432000 1033121232000 1033452360600 1065907889280 1074790455024 1102349184640 1110320718000 1119573390650 1127402575200 1172498678208 1184342099200 1221352789800 1240142832720 1252669528000 1291815450750 1302776309120 1322819021568 1332384861600 1343488068780 1366548576000 1377936480800 1409253219000 1413887904000 1433053940032 1465623347760 1480427624000 1503203433600 1526690987250 1550178540900 1563331570944 1612185682536 1628470386400 1653523776960 1665481077000 1679360085975 1722420601000 1776513148800 1791317425040 1803844120320 1832029184700 1879004292000 1937723176125 1954164463680 1984228532352 2015232103170 2035587983000 2049822864000 2066242464000 2066904721200 2131815778560 2149580910048 2204698369280 2220641436000 2239146781300 2254805150400 2290036480875 2344997356416 2442705579600 2480285665440 2505339056000 2583630901500 2605552618240 2664769723200 2686976137560 2755872961600 2798933476625 2818506438000 2866107880064 2931246695520 2960855248000 3006406867200 3053381974500 3100357081800 3224371365072 3256940772800 3307047553920 3330962154000 3358720171950 3444841202000 3553026297600 3582634850080 3664058369400 3758008584000 3875446352250 3908328927360 3968457064704 4030464206340 4071175966000 4099645728000 4133809442400 4299161820096 4441282872000 4478293562600 4509610300800 4580072961750 4689994712832 4885411159200 4960571330880 5010678112000 5038080257925 5167261803000 5329539446400 5373952275120 5511745923200 5597866953250 5637012876000 5732215760128 5862493391040 5921710496000 6106763949000 6200714163600 6448742730144 6513881545600 6614095107840 6661924308000 6717440343900 6889682404000 7165269700160 7328116738800 7516017168000 7750892704500 7816657854720 8060928412680 8142351932000 8267618884800 8396800429875 8598323640192 8882565744000 8956587125200 9019220601600 9160145923500 9770822318400 9921142661760 10076160515850 10334523606000 10659078892800 10747904550240 11023491846400 11195733906500 11274025752000 11724986782080 12213527898000 12401428327200 12897485460288 13027763091200 13323848616000 13434880687800 13779364808000 14330539400320 14656233477600 15032034336000 15501785409000 16121856825360 16284703864000 16535237769600 16793600859750 17196647280384 17765131488000 17913174250400 18320291847000 19541644636800 19842285323520 20152321031700 20669047212000 21495809100480 22391467813000 22548051504000 23449973564160 24427055796000 24802856654400 25190401289625 25794970920576 26647697232000 26869761375600 27558729616000 28661078800640 29312466955200 31003570818000 32243713650720 32569407728000 33070475539200 33587201719500 35826348500800 36640583694000 39083289273600 40304642063400 41338094424000 42991618200960 44782935626000 45096103008000 48854111592000 49605713308800 50380802579250 51589941841152 53295394464000 53739522751200 55117459232000 58624933910400 62007141636000 64487427301440 65138815456000 67174403439000 71652697001600 73281167388000 80609284126800 82676188848000 85983236401920 89565871252000 97708223184000 99211426617600 100761605158500 107479045502400 117249867820800 124014283272000 128974854602880 134348806878000 143305394003200 146562334776000 161218568253600 165352377696000 179131742504000 195416446368000 201523210317000 214958091004800 248028566544000 257949709205760 268697613756000 293124669552000 322437136507200 358263485008000 403046420634000 429916182009600 496057133088000 537395227512000 586249339104000 644874273014400 716526970016000 806092841268000 1074790455024000 1289748546028800 1612185682536000 2149580910048000 3224371365072000 6448742730144000
- Sum of all divisors σ(n): 27482529771531744
- Sum of proper divisors (its aliquot sum) s(n): 21033787041387744
- 6448742730144000 is an abundant number, because the sum of its proper divisors (21033787041387744) is greater than itself. Its abundance is 14585044311243744
Bases of 6448742730144000
- Binary: 101101110100100011000111010111010110110011001000000002
- Hexadecimal: 0x16E918EBAD9900
- Base-36: 1RHVZIFXA80
Squares and roots of 6448742730144000
- 6448742730144000 squared (64487427301440002) is 41586282799585090806260736000000
- 6448742730144000 cubed (64487427301440003) is 268179238877536826076404012840550825984000000000
-
The
square root of 6448742730144000 is 80304064.2193407295 -
The
cube root of 6448742730144000 is 186133.7028624863
Scales and comparisons
How big is 6448742730144000?- 6,448,742,730,144,000 seconds is equal to 205,050,071 years, 28 weeks, 3 days, 8 hours.
-
To count from 1 to 6,448,742,730,144,000 would take you about six hundred fifteen million, one hundred fifty thousand, two hundred fourteen 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 6448742730144000 cubic inches would be around 15511.1 feet tall.
Recreational maths with 6448742730144000
- 6448742730144000 backwards is 0004410372478446
- The number of decimal digits it has is: 16
- The sum of 6448742730144000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 6448742730144000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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Numbermatics. (2024). Number 6448742730144000 - Facts about the integer. Retrieved 22 September 2024, from https://numbermatics.com/n/6448742730144000/
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The information we have on file for 6448742730144000 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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