450768327680000
450,768,327,680,000 is an even composite number composed of four prime numbers multiplied together.
450768327680000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred thirty divisors.
Prime factorization of 450768327680000:
213 × 54 × 112 × 8532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 11 × 853 × 853)See below for interesting mathematical facts about the number 450768327680000 from the Numbermatics database.
Names of 450768327680000
- Cardinal: 450768327680000 can be written as Four hundred fifty trillion, seven hundred sixty-eight billion, three hundred twenty-seven million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 4.5076832768 × 1014
Factors of 450768327680000
Divisors of 450768327680000
- Number of divisors d(n): 630
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 121 125 128 160 176 200 220 242 250 256 275 320 352 400 440 484 500 512 550 605 625 640 704 800 853 880 968 1000 1024 1100 1210 1250 1280 1375 1408 1600 1706 1760 1936 2000 2048 2200 2420 2500 2560 2750 2816 3025 3200 3412 3520 3872 4000 4096 4265 4400 4840 5000 5120 5500 5632 6050 6400 6824 6875 7040 7744 8000 8192 8530 8800 9383 9680 10000 10240 11000 11264 12100 12800 13648 13750 14080 15125 15488 16000 17060 17600 18766 19360 20000 20480 21325 22000 22528 24200 25600 27296 27500 28160 30250 30976 32000 34120 35200 37532 38720 40000 40960 42650 44000 45056 46915 48400 51200 54592 55000 56320 60500 61952 64000 68240 70400 75064 75625 77440 80000 85300 88000 90112 93830 96800 102400 103213 106625 109184 110000 112640 121000 123904 128000 136480 140800 150128 151250 154880 160000 170600 176000 187660 193600 204800 206426 213250 218368 220000 225280 234575 242000 247808 256000 272960 281600 300256 302500 309760 320000 341200 352000 375320 387200 412852 426500 436736 440000 450560 469150 484000 495616 512000 516065 533125 545920 563200 600512 605000 619520 640000 682400 704000 727609 750640 774400 825704 853000 873472 880000 938300 968000 991232 1024000 1032130 1066250 1091840 1126400 1172875 1201024 1210000 1239040 1280000 1364800 1408000 1455218 1501280 1548800 1651408 1706000 1746944 1760000 1876600 1936000 2064260 2132500 2183680 2252800 2345750 2402048 2420000 2478080 2560000 2580325 2729600 2816000 2910436 3002560 3097600 3302816 3412000 3493888 3520000 3638045 3753200 3872000 4128520 4265000 4367360 4691500 4804096 4840000 4956160 5120000 5160650 5459200 5632000 5820872 5864375 6005120 6195200 6605632 6824000 6987776 7040000 7276090 7506400 7744000 8003699 8257040 8530000 8734720 9383000 9608192 9680000 10321300 10918400 11264000 11641744 11728750 12010240 12390400 12901625 13211264 13648000 14080000 14552180 15012800 15488000 16007398 16514080 17060000 17469440 18190225 18766000 19216384 19360000 20642600 21836800 23283488 23457500 24020480 24780800 25803250 26422528 27296000 28160000 29104360 30025600 30976000 32014796 33028160 34120000 34938880 36380450 37532000 38432768 38720000 40018495 41285200 43673600 46566976 46915000 48040960 51606500 52845056 54592000 56320000 58208720 60051200 61952000 64029592 64508125 66056320 68240000 72760900 75064000 76865536 77440000 80036990 82570400 87347200 88040689 90951125 93133952 93830000 96081920 103213000 105690112 109184000 116417440 120102400 123904000 128059184 129016250 132112640 136480000 145521800 150128000 154880000 160073980 165140800 174694400 176081378 181902250 186267904 187660000 192163840 200092475 206426000 211380224 218368000 232834880 240204800 256118368 258032500 264225280 272960000 291043600 300256000 309760000 320147960 330281600 352162756 363804500 372535808 375320000 384327680 400184950 412852000 422760448 436736000 440203445 454755625 465669760 480409600 512236736 516065000 528450560 545920000 582087200 600512000 619520000 640295920 660563200 704325512 727609000 745071616 750640000 800369900 825704000 845520896 873472000 880406890 909511250 931339520 960819200 1000462375 1024473472 1032130000 1056901120 1091840000 1164174400 1201024000 1280591840 1321126400 1408651024 1455218000 1490143232 1501280000 1600739800 1651408000 1760813780 1819022500 1862679040 1921638400 2000924750 2048946944 2064260000 2113802240 2183680000 2201017225 2328348800 2402048000 2561183680 2642252800 2817302048 2910436000 2980286464 3002560000 3201479600 3302816000 3521627560 3638045000 3725358080 4001849500 4097893888 4128520000 4227604480 4367360000 4402034450 4656697600 4804096000 5002311875 5122367360 5284505600 5634604096 5820872000 5960572928 6005120000 6402959200 6605632000 7043255120 7276090000 7450716160 8003699000 8195787776 8257040000 8804068900 9313395200 9608192000 10004623750 10244734720 10569011200 11005086125 11269208192 11641744000 12010240000 12805918400 13211264000 14086510240 14552180000 14901432320 16007398000 16391575552 16514080000 17608137800 18626790400 20009247500 20489469440 21138022400 22010172250 22538416384 23283488000 24020480000 25611836800 26422528000 28173020480 29104360000 29802864640 32014796000 32783151104 33028160000 35216275600 37253580800 40018495000 40978938880 44020344500 45076832768 46566976000 48040960000 51223673600 52845056000 55025430625 56346040960 58208720000 64029592000 65566302208 66056320000 70432551200 74507161600 80036990000 81957877760 88040689000 90153665536 93133952000 102447347200 105690112000 110050861250 112692081920 116417440000 128059184000 132112640000 140865102400 149014323200 160073980000 163915755520 176081378000 180307331072 186267904000 204894694400 220101722500 225384163840 232834880000 256118368000 264225280000 281730204800 320147960000 327831511040 352162756000 360614662144 372535808000 409789388800 440203445000 450768327680 465669760000 512236736000 528450560000 563460409600 640295920000 704325512000 721229324288 745071616000 819578777600 880406890000 901536655360 931339520000 1024473472000 1126920819200 1280591840000 1408651024000 1639157555200 1760813780000 1803073310720 1862679040000 2048946944000 2253841638400 2561183680000 2817302048000 3521627560000 3606146621440 3725358080000 4097893888000 4507683276800 5122367360000 5634604096000 7043255120000 8195787776000 9015366553600 10244734720000 11269208192000 14086510240000 18030733107200 20489469440000 22538416384000 28173020480000 40978938880000 45076832768000 56346040960000 90153665536000 112692081920000 225384163840000 450768327680000
- Sum of all divisors σ(n): 1239662900231217
- Sum of proper divisors (its aliquot sum) s(n): 788894572551217
- 450768327680000 is an abundant number, because the sum of its proper divisors (788894572551217) is greater than itself. Its abundance is 338126244871217
Bases of 450768327680000
- Binary: 11001100111111000101011100000110000100000000000002
- Hexadecimal: 0x199F8AE0C2000
- Base-36: 4FS83ZT2BK
Squares and roots of 450768327680000
- 450768327680000 squared (4507683276800002) is 203192085239423854182400000000
- 450768327680000 cubed (4507683276800003) is 91592556461187103156500621688832000000000000
-
The
square root of 450768327680000 is 21231305.3691948013 -
The
cube root of 450768327680000 is 76674.5315337539
Scales and comparisons
How big is 450768327680000?- 450,768,327,680,000 seconds is equal to 14,333,038 years, 26 weeks, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 450,768,327,680,000 would take you about thirty-five million, eight hundred thirty-two thousand, five hundred ninety-six 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 450768327680000 cubic inches would be around 6389.5 feet tall.
Recreational maths with 450768327680000
- 450768327680000 backwards is 000086723867054
- The number of decimal digits it has is: 15
- The sum of 450768327680000's digits is 56
- More coming soon!
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