42480780642304000
42,480,780,642,304,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42480780642304000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 480 divisors.
42480780642304000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 42480780642304000:
214 × 53 × 2521 × 1613 × 5101
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 2521 × 1613 × 5101)See below for interesting mathematical facts about the number 42480780642304000 from the Numbermatics database.
Names of 42480780642304000
- Cardinal: 42480780642304000 can be written as Forty-two quadrillion, four hundred eighty trillion, seven hundred eighty billion, six hundred forty-two million, three hundred four thousand.
Scientific notation
- Scientific notation: 4.2480780642304 × 1016
Factors of 42480780642304000
Divisors of 42480780642304000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1024 1280 1600 1613 2000 2048 2521 2560 3200 3226 4000 4096 5042 5101 5120 6400 6452 8000 8065 8192 10084 10202 10240 12605 12800 12904 16000 16130 16384 20168 20404 20480 25210 25505 25600 25808 32000 32260 40325 40336 40808 40960 50420 51010 51200 51616 63025 64000 64520 80650 80672 81616 81920 100840 102020 102400 103232 126050 127525 128000 129040 161300 161344 163232 201625 201680 204040 204800 206464 252100 255050 256000 258080 315125 322600 322688 326464 403250 403360 408080 409600 412928 504200 510100 512000 516160 630250 637625 645200 645376 652928 806500 806720 816160 825856 1008400 1020200 1024000 1032320 1260500 1275250 1290400 1290752 1305856 1613000 1613440 1632320 1651712 2016800 2040400 2048000 2064640 2521000 2550500 2580800 2581504 2611712 3226000 3226880 3264640 3303424 4033600 4066373 4080800 4129280 5042000 5101000 5161600 5163008 5223424 6452000 6453760 6529280 6606848 8067200 8132746 8161600 8227913 8258560 10084000 10202000 10323200 10326016 10446848 12859621 12904000 12907520 13058560 13213696 16134400 16265492 16323200 16455826 16517120 20168000 20331865 20404000 20646400 20652032 20893696 25719242 25808000 25815040 26117120 26427392 32268800 32530984 32646400 32911652 33034240 40336000 40663730 40808000 41139565 41292800 41304064 41787392 51438484 51616000 51630080 52234240 64298105 64537600 65061968 65292800 65823304 66068480 80672000 81327460 81616000 82279130 82585600 83574784 101659325 102876968 103232000 103260160 104468480 128596210 129075200 130123936 130585600 131646608 132136960 161344000 162654920 163232000 164558260 165171200 203318650 205697825 205753936 206464000 206520320 208936960 257192420 258150400 260247872 261171200 263293216 321490525 322688000 325309840 326464000 329116520 330342400 406637300 411395650 411507872 412928000 417873920 508296625 514384840 516300800 520495744 522342400 526586432 642981050 645376000 650619680 652928000 658233040 660684800 813274600 822791300 823015744 825856000 1016593250 1028489125 1028769680 1032601600 1040991488 1044684800 1053172864 1285962100 1290752000 1301239360 1305856000 1316466080 1607452625 1626549200 1645582600 1646031488 1651712000 2033186500 2056978250 2057539360 2081982976 2089369600 2106345728 2571924200 2581504000 2602478720 2611712000 2632932160 3214905250 3253098400 3291165200 3292062976 3303424000 4066373000 4113956500 4115078720 4163965952 4212691456 5143848400 5163008000 5204957440 5223424000 5265864320 6429810500 6506196800 6582330400 6584125952 8132746000 8227913000 8230157440 8327931904 8425382912 10287696800 10409914880 10446848000 10531728640 12859621000 13012393600 13164660800 13168251904 16265492000 16455826000 16460314880 16655863808 16850765824 20575393600 20742568673 20819829760 21063457280 25719242000 26024787200 26329321600 26336503808 32530984000 32911652000 32920629760 33311727616 33701531648 41150787200 41485137346 41639659520 42126914560 51438484000 52049574400 52658643200 52673007616 65061968000 65823304000 65841259520 66623455232 67403063296 82301574400 82970274692 83279319040 84253829120 102876968000 103712843365 104099148800 105317286400 105346015232 130123936000 131646608000 131682519040 134806126592 164603148800 165940549384 166558638080 168507658240 205753936000 207425686730 208198297600 210634572800 210692030464 260247872000 263293216000 263365038080 329206297600 331881098768 333117276160 337015316480 411507872000 414851373460 416396595200 421269145600 518564216825 520495744000 526586432000 526730076160 658412595200 663762197536 674030632960 823015744000 829702746920 832793190400 842538291200 1037128433650 1040991488000 1053172864000 1053460152320 1316825190400 1327524395072 1646031488000 1659405493840 1665586380800 1685076582400 2074256867300 2081982976000 2106345728000 2592821084125 2633650380800 2655048790144 3292062976000 3318810987680 3370153164800 4148513734600 4163965952000 4212691456000 5185642168250 5267300761600 5310097580288 6584125952000 6637621975360 8297027469200 8327931904000 8425382912000 10371284336500 10620195160576 13168251904000 13275243950720 16594054938400 16850765824000 20742568673000 21240390321152 26336503808000 26550487901440 33188109876800 41485137346000 42480780642304 53100975802880 66376219753600 82970274692000 84961561284608 106201951605760 132752439507200 165940549384000 169923122569216 212403903211520 265504879014400 331881098768000 339846245138432 424807806423040 531009758028800 663762197536000 849615612846080 1062019516057600 1327524395072000 1699231225692160 2124039032115200 2655048790144000 4248078064230400 5310097580288000 8496156128460800 10620195160576000 21240390321152000 42480780642304000
- Sum of all divisors σ(n): 106157417872720032
- Sum of proper divisors (its aliquot sum) s(n): 63676637230416032
- 42480780642304000 is an abundant number, because the sum of its proper divisors (63676637230416032) is greater than itself. Its abundance is 21195856588112032
Bases of 42480780642304000
- Binary: 100101101110110000001011011111111111011101000000000000002
- Hexadecimal: 0x96EC0B7FF74000
- Base-36: BMA6H7P6AKG
Squares and roots of 42480780642304000
- 42480780642304000 squared (424807806423040002) is 1804616723979550246794428416000000
- 42480780642304000 cubed (424807806423040003) is 76661527194808538811980860482893029310464000000000
-
The
square root of 42480780642304000 is 206108662.2204510841 -
The
cube root of 42480780642304000 is 348923.9896597057
Scales and comparisons
How big is 42480780642304000?- 42,480,780,642,304,000 seconds is equal to 1,350,757,422 years, 38 weeks, 4 days, 12 hours, 26 minutes, 40 seconds.
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To count from 1 to 42,480,780,642,304,000 would take you about four billion, fifty-two million, two hundred seventy-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 42480780642304000 cubic inches would be around 29077 feet tall.
Recreational maths with 42480780642304000
- 42480780642304000 backwards is 00040324608708424
- The number of decimal digits it has is: 17
- The sum of 42480780642304000's digits is 52
- More coming soon!
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