45315966976000
45,315,966,976,000 is an even composite number composed of five prime numbers multiplied together.
45315966976000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 45315966976000:
214 × 53 × 7 × 71 × 2112
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 71 × 211 × 211)See below for interesting mathematical facts about the number 45315966976000 from the Numbermatics database.
Names of 45315966976000
- Cardinal: 45315966976000 can be written as Forty-five trillion, three hundred fifteen billion, nine hundred sixty-six million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 4.5315966976 × 1013
Factors of 45315966976000
Divisors of 45315966976000
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 71 80 100 112 125 128 140 142 160 175 200 211 224 250 256 280 284 320 350 355 400 422 448 497 500 512 560 568 640 700 710 800 844 875 896 994 1000 1024 1055 1120 1136 1280 1400 1420 1477 1600 1688 1750 1775 1792 1988 2000 2048 2110 2240 2272 2485 2560 2800 2840 2954 3200 3376 3500 3550 3584 3976 4000 4096 4220 4480 4544 4970 5120 5275 5600 5680 5908 6400 6752 7000 7100 7168 7385 7952 8000 8192 8440 8875 8960 9088 9940 10240 10550 11200 11360 11816 12425 12800 13504 14000 14200 14336 14770 14981 15904 16000 16384 16880 17750 17920 18176 19880 20480 21100 22400 22720 23632 24850 25600 26375 27008 28000 28400 28672 29540 29962 31808 32000 33760 35500 35840 36352 36925 39760 40960 42200 44521 44800 45440 47264 49700 51200 52750 54016 56000 56800 57344 59080 59924 62125 63616 64000 67520 71000 71680 72704 73850 74905 79520 81920 84400 89042 89600 90880 94528 99400 102400 104867 105500 108032 112000 113600 114688 118160 119848 124250 127232 128000 135040 142000 143360 145408 147700 149810 159040 168800 178084 179200 181760 184625 189056 198800 204800 209734 211000 216064 222605 224000 227200 236320 239696 248500 254464 256000 270080 284000 286720 290816 295400 299620 311647 318080 337600 356168 358400 363520 369250 374525 378112 397600 409600 419468 422000 432128 445210 448000 454400 472640 479392 497000 508928 512000 524335 540160 568000 573440 581632 590800 599240 623294 636160 675200 712336 716800 727040 738500 749050 756224 795200 838936 844000 864256 890420 896000 908800 945280 958784 994000 1017856 1024000 1048670 1080320 1113025 1136000 1163264 1181600 1198480 1246588 1272320 1350400 1424672 1433600 1454080 1477000 1498100 1512448 1558235 1590400 1677872 1688000 1728512 1780840 1792000 1817600 1872625 1890560 1917568 1988000 2035712 2048000 2097340 2160640 2226050 2272000 2363200 2396960 2493176 2544640 2621675 2700800 2849344 2867200 2908160 2954000 2996200 3024896 3116470 3160991 3180800 3355744 3376000 3457024 3561680 3584000 3635200 3745250 3781120 3835136 3976000 4071424 4194680 4321280 4452100 4544000 4726400 4793920 4986352 5089280 5243350 5401600 5565125 5698688 5816320 5908000 5992400 6049792 6232940 6321982 6361600 6711488 6752000 7123360 7168000 7270400 7490500 7562240 7670272 7791175 7952000 8142848 8389360 8642560 8904200 9088000 9452800 9587840 9972704 10178560 10486700 10803200 11130250 11397376 11816000 11984800 12099584 12465880 12643964 12723200 13108375 13422976 13504000 14246720 14336000 14540800 14981000 15124480 15340544 15582350 15804955 15904000 16778720 17285120 17808400 18176000 18905600 19175680 19945408 20357120 20973400 21606400 22126937 22260500 22794752 23632000 23969600 24199168 24931760 25287928 25446400 26216750 26845952 27008000 28493440 29081600 29962000 30248960 30681088 31164700 31609910 31808000 33557440 35616800 36352000 37811200 38351360 38955875 39890816 40714240 41946800 43212800 44253874 44521000 45589504 47264000 47939200 49863520 50575856 50892800 52433500 53691904 54016000 56986880 59924000 60497920 61362176 62329400 63219820 63616000 67114880 71233600 72704000 75622400 76702720 77911750 79024775 79781632 83893600 86425600 88507748 89042000 91179008 94528000 95878400 99727040 101151712 101785600 104867000 107383808 108032000 110634685 113973760 119848000 120995840 122724352 124658800 126439640 127232000 134229760 142467200 145408000 151244800 153405440 155823500 158049550 159563264 167787200 177015496 178084000 182358016 189056000 191756800 199454080 202303424 203571200 209734000 214767616 216064000 221269370 227947520 239696000 245448704 249317600 252879280 254464000 268459520 284934400 302489600 306810880 311647000 316099100 319126528 335574400 354030992 356168000 364716032 378112000 383513600 395123875 398908160 404606848 419468000 429535232 432128000 442538740 455895040 479392000 498635200 505758560 508928000 536919040 553173425 569868800 604979200 613621760 623294000 632198200 638253056 671148800 708061984 712336000 729432064 756224000 767027200 790247750 797816320 809213696 838936000 859070464 885077480 911790080 958784000 997270400 1011517120 1017856000 1073838080 1106346850 1139737600 1227243520 1246588000 1264396400 1276506112 1342297600 1416123968 1424672000 1512448000 1534054400 1580495500 1595632640 1618427392 1677872000 1718140928 1770154960 1823580160 1917568000 1994540800 2023034240 2147676160 2212693700 2279475200 2493176000 2528792800 2553012224 2684595200 2765867125 2832247936 2849344000 3024896000 3068108800 3160991000 3191265280 3236854784 3355744000 3540309920 3647160320 3835136000 3989081600 4046068480 4295352320 4425387400 4558950400 4986352000 5057585600 5106024448 5369190400 5531734250 5664495872 5698688000 6136217600 6321982000 6382530560 6473709568 6711488000 7080619840 7670272000 7978163200 8092136960 8590704640 8850774800 9117900800 9972704000 10115171200 10738380800 11063468500 11328991744 11397376000 12643964000 12765061120 12947419136 13422976000 14161239680 15340544000 15956326400 16184273920 17701549600 18235801600 19945408000 20230342400 21476761600 22126937000 22657983488 22794752000 25287928000 25530122240 25894838272 26845952000 28322479360 30681088000 31912652800 32368547840 35403099200 39890816000 40460684800 42953523200 44253874000 45315966976 45589504000 50575856000 51789676544 53691904000 56644958720 63825305600 64737095680 70806198400 79781632000 80921369600 88507748000 90631933952 91179008000 101151712000 107383808000 113289917440 127650611200 129474191360 141612396800 159563264000 161842739200 177015496000 181263867904 202303424000 214767616000 226579834880 258948382720 283224793600 319126528000 323685478400 354030992000 362527735808 404606848000 453159669760 566449587200 638253056000 647370956800 708061984000 809213696000 906319339520 1132899174400 1294741913600 1416123968000 1618427392000 1812638679040 2265798348800 2832247936000 3236854784000 4531596697600 5664495872000 6473709568000 9063193395200 11328991744000 22657983488000 45315966976000
- Sum of all divisors σ(n): 131707888655616
- Sum of proper divisors (its aliquot sum) s(n): 86391921679616
- 45315966976000 is an abundant number, because the sum of its proper divisors (86391921679616) is greater than itself. Its abundance is 41075954703616
Bases of 45315966976000
- Binary: 10100100110110111100100001110101000000000000002
- Hexadecimal: 0x2936F21D4000
- Base-36: G29V8PP8G
Squares and roots of 45315966976000
- 45315966976000 squared (453159669760002) is 2053536862969922584576000000
- 45315966976000 cubed (453159669760003) is 93058008666343649123922582962176000000000
-
The
square root of 45315966976000 is 6731713.5245047379 -
The
cube root of 45315966976000 is 35651.9879073009
Scales and comparisons
How big is 45315966976000?- 45,315,966,976,000 seconds is equal to 1,440,907 years, 30 weeks, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 45,315,966,976,000 would take you about three million, six hundred two thousand, two hundred sixty-eight 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 45315966976000 cubic inches would be around 2971 feet tall.
Recreational maths with 45315966976000
- 45315966976000 backwards is 00067966951354
- The number of decimal digits it has is: 14
- The sum of 45315966976000's digits is 61
- More coming soon!
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