428128527974400
428,128,527,974,400 is an even composite number composed of six prime numbers multiplied together.
428128527974400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred eighty divisors.
Prime factorization of 428128527974400:
218 × 34 × 52 × 11 × 157 × 467
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 157 × 467)See below for interesting mathematical facts about the number 428128527974400 from the Numbermatics database.
Names of 428128527974400
- Cardinal: 428128527974400 can be written as Four hundred twenty-eight trillion, one hundred twenty-eight billion, five hundred twenty-seven million, nine hundred seventy-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.281285279744 × 1014
Factors of 428128527974400
Divisors of 428128527974400
- Number of divisors d(n): 2280
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 81 88 90 96 99 100 108 110 120 128 132 135 144 150 157 160 162 165 176 180 192 198 200 216 220 225 240 256 264 270 275 288 297 300 314 320 324 330 352 360 384 396 400 405 432 440 450 467 471 480 495 512 528 540 550 576 594 600 628 640 648 660 675 704 720 768 785 792 800 810 825 864 880 891 900 934 942 960 990 1024 1056 1080 1100 1152 1188 1200 1256 1280 1296 1320 1350 1401 1408 1413 1440 1485 1536 1570 1584 1600 1620 1650 1727 1728 1760 1782 1800 1868 1884 1920 1980 2025 2048 2112 2160 2200 2304 2335 2355 2376 2400 2475 2512 2560 2592 2640 2700 2802 2816 2826 2880 2970 3072 3140 3168 3200 3240 3300 3454 3456 3520 3564 3600 3736 3768 3840 3925 3960 4050 4096 4203 4224 4239 4320 4400 4455 4608 4670 4710 4752 4800 4950 5024 5120 5137 5181 5184 5280 5400 5604 5632 5652 5760 5940 6144 6280 6336 6400 6480 6600 6908 6912 7005 7040 7065 7128 7200 7425 7472 7536 7680 7850 7920 8100 8192 8406 8448 8478 8635 8640 8800 8910 9216 9340 9420 9504 9600 9900 10048 10240 10274 10362 10368 10560 10800 11208 11264 11304 11520 11675 11775 11880 12288 12560 12609 12672 12717 12800 12960 13200 13816 13824 14010 14080 14130 14256 14400 14850 14944 15072 15360 15411 15543 15700 15840 16200 16384 16812 16896 16956 17270 17280 17600 17820 18432 18680 18840 19008 19200 19800 20096 20480 20548 20724 20736 21015 21120 21195 21600 22275 22416 22528 22608 23040 23350 23550 23760 24576 25120 25218 25344 25434 25600 25685 25905 25920 26400 27632 27648 28020 28160 28260 28512 28800 29700 29888 30144 30720 30822 31086 31400 31680 32400 32768 33624 33792 33912 34540 34560 35025 35200 35325 35640 36864 37360 37680 37827 38016 38400 39600 40192 40960 41096 41448 41472 42030 42240 42390 43175 43200 44550 44832 45056 45216 46080 46233 46629 46700 47100 47520 49152 50240 50436 50688 50868 51200 51370 51810 51840 52800 55264 55296 56040 56320 56520 57024 57600 59400 59776 60288 61440 61644 62172 62800 63045 63360 63585 64800 65536 67248 67584 67824 69080 69120 70050 70400 70650 71280 73319 73728 74720 75360 75654 76032 76800 77055 77715 79200 80384 81920 82192 82896 82944 84060 84480 84780 86350 86400 89100 89664 90112 90432 92160 92466 93258 93400 94200 95040 98304 100480 100872 101376 101736 102400 102740 103620 103680 105075 105600 105975 110528 110592 112080 112640 113040 114048 115200 118800 119552 120576 122880 123288 124344 125600 126090 126720 127170 128425 129525 129600 131072 134496 135168 135648 138160 138240 138699 139887 140100 140800 141300 142560 146638 147456 149440 150720 151308 152064 153600 154110 155430 158400 160768 163840 164384 165792 165888 168120 168960 169560 172700 172800 178200 179328 180224 180864 184320 184932 186516 186800 188400 189135 190080 196608 200960 201744 202752 203472 204800 205480 207240 207360 210150 211200 211950 219957 221056 221184 224160 225280 226080 228096 230400 231165 233145 237600 239104 241152 245760 246576 248688 251200 252180 253440 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16723770624 16832921600 16892697600 16977100800 17043333120 17420594400 18018877440 18179555328 18335268864 18581967360 18937036800 19004284800 19099238400 19220135936 19820765184 20199505920 20271237120 20372520960 20646630400 20658585600 20835532800 20904713280 21304166400 21622652928 22298360832 22523596800 22724444160 22919086080 23227459200 24025169920 24325484544 24775956480 24790302720 25249382400 25339046400 25465651200 26130891600 26427686912 27028316160 27269332992 27544780800 27780710400 27872951040 28405555200 28648857600 28830203904 29731147776 30031462400 30299258880 30406855680 30558781440 30969945600 30987878400 32433979392 33034608640 33447541248 33665843200 33785395200 33954201600 34086666240 34841188800 36037754880 36359110656 36670537728 37163934720 37874073600 38008569600 38198476800 39641530368 40542474240 41293260800 41317171200 41671065600 41809426560 42608332800 43245305856 44596721664 45047193600 45448888320 45838172160 46454918400 48050339840 48650969088 49551912960 49580605440 50498764800 50678092800 50931302400 52261783200 52855373824 54056632320 54538665984 55745902080 56811110400 57297715200 57660407808 59462295552 60062924800 60598517760 60813711360 61117562880 61939891200 61975756800 64867958784 66069217280 66895082496 67570790400 68173332480 69682377600 72075509760 74327869440 75748147200 76017139200 76396953600 79283060736 81084948480 82586521600 82634342400 83342131200 83618853120 85216665600 86490611712 89193443328 90094387200 90897776640 91676344320 92909836800 96100679680 97301938176 99103825920 100997529600 101356185600 101862604800 104523566400 105710747648 108113264640 109077331968 111491804160 113622220800 114595430400 118924591104 120125849600 121627422720 123879782400 123951513600 129735917568 132138434560 133790164992 135141580800 136346664960 139364755200 144151019520 148655738880 151496294400 152034278400 152793907200 158566121472 162169896960 165173043200 167237706240 170433331200 172981223424 178386886656 180188774400 181795553280 183352688640 185819673600 194603876352 198207651840 202712371200 209047132800 211421495296 216226529280 222983608320 227244441600 229190860800 237849182208 240251699200 243254845440 247759564800 247903027200 259471835136 264276869120 267580329984 270283161600 272693329920 278729510400 288302039040 297311477760 302992588800 304068556800 305587814400 317132242944 324339793920 330346086400 334475412480 340866662400 356773773312 360377548800 371639347200 389207752704 396415303680 405424742400 418094265600 432453058560 445967216640 454488883200 458381721600 475698364416 480503398400 486509690880 495519129600 518943670272 528553738240 535160659968 540566323200 545386659840 557459020800 594622955520 608137113600 634264485888 648679587840 660692172800 668950824960 681733324800 713547546624 720755097600 743278694400 778415505408 792830607360 810849484800 836188531200 864906117120 891934433280 908977766400 916763443200 951396728832 973019381760 991038259200 1057107476480 1070321319936 1081132646400 1114918041600 1189245911040 1216274227200 1297359175680 1321384345600 1337901649920 1363466649600 1427095093248 1441510195200 1486557388800 1556831010816 1585661214720 1621698969600 1672377062400 1783868866560 1902793457664 1946038763520 1982076518400 2140642639872 2162265292800 2229836083200 2378491822080 2432548454400 2594718351360 2642768691200 2675803299840 2726933299200 2854190186496 2973114777600 3171322429440 3243397939200 3344754124800 3567737733120 3892077527040 3964153036800 4281285279744 4324530585600 4459672166400 4756983644160 4865096908800 5285537382400 5351606599680 5708380372992 5946229555200 6486795878400 6689508249600 7135475466240 7784155054080 7928306073600 8562570559488 8919344332800 9513967288320 9730193817600 10703213199360 11892459110400 12973591756800 13379016499200 14270950932480 15856612147200 17125141118976 17838688665600 19460387635200 21406426398720 23784918220800 26758032998400 28541901864960 35677377331200 38920775270400 42812852797440 47569836441600 53516065996800 71354754662400 85625705594880 107032131993600 142709509324800 214064263987200 428128527974400
- Sum of all divisors σ(n): 1745019721295136
- Sum of proper divisors (its aliquot sum) s(n): 1316891193320736
- 428128527974400 is an abundant number, because the sum of its proper divisors (1316891193320736) is greater than itself. Its abundance is 888762665346336
Bases of 428128527974400
- Binary: 11000010101100001011100001101010000000000000000002
- Hexadecimal: 0x1856170D40000
- Base-36: 47RBJ3LS00
Squares and roots of 428128527974400
- 428128527974400 squared (4281285279744002) is 183294036465526603367055360000
- 428128527974400 cubed (4281285279744003) is 78473406018471900110859773925113462784000000
-
The
square root of 428128527974400 is 20691266.9494741185 -
The
cube root of 428128527974400 is 75368.7633121203
Scales and comparisons
How big is 428128527974400?- 428,128,527,974,400 seconds is equal to 13,613,162 years, 46 weeks, 6 days.
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To count from 1 to 428,128,527,974,400 would take you about thirty-four million, thirty-two thousand, nine hundred seven 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 428128527974400 cubic inches would be around 6280.7 feet tall.
Recreational maths with 428128527974400
- 428128527974400 backwards is 004479725821824
- The number of decimal digits it has is: 15
- The sum of 428128527974400's digits is 63
- More coming soon!
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"Number 428128527974400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 428128527974400 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/428128527974400/
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The information we have on file for 428128527974400 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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