428225405529600
428,225,405,529,600 is an even composite number composed of six prime numbers multiplied together.
428225405529600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 428225405529600:
29 × 38 × 52 × 72 × 19 × 5477
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 19 × 5477)See below for interesting mathematical facts about the number 428225405529600 from the Numbermatics database.
Names of 428225405529600
- Cardinal: 428225405529600 can be written as Four hundred twenty-eight trillion, two hundred twenty-five billion, four hundred five million, five hundred twenty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 4.282254055296 × 1014
Factors of 428225405529600
Divisors of 428225405529600
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 27 28 30 32 35 36 38 40 42 45 48 49 50 54 56 57 60 63 64 70 72 75 76 80 81 84 90 95 96 98 100 105 108 112 114 120 126 128 133 135 140 144 147 150 152 160 162 168 171 175 180 189 190 192 196 200 210 216 224 225 228 240 243 245 252 256 266 270 280 285 288 294 300 304 315 320 324 336 342 350 360 378 380 384 392 399 400 405 420 432 441 448 450 456 475 480 486 490 504 512 513 525 532 540 560 567 570 576 588 600 608 630 640 648 665 672 675 684 700 720 729 735 756 760 768 784 798 800 810 840 855 864 882 896 900 912 931 945 950 960 972 980 1008 1026 1050 1064 1080 1120 1134 1140 1152 1176 1197 1200 1215 1216 1225 1260 1280 1296 1323 1330 1344 1350 1368 1400 1425 1440 1458 1470 1512 1520 1536 1539 1568 1575 1596 1600 1620 1680 1701 1710 1728 1764 1792 1800 1824 1862 1890 1900 1920 1944 1960 1995 2016 2025 2052 2100 2128 2160 2187 2205 2240 2268 2280 2304 2352 2394 2400 2430 2432 2450 2520 2560 2565 2592 2646 2660 2688 2700 2736 2793 2800 2835 2850 2880 2916 2940 3024 3040 3078 3136 3150 3192 3200 3240 3325 3360 3402 3420 3456 3528 3584 3591 3600 3645 3648 3675 3724 3780 3800 3840 3888 3920 3969 3990 4032 4050 4104 4200 4256 4275 4320 4374 4410 4480 4536 4560 4608 4617 4655 4704 4725 4788 4800 4860 4864 4900 5040 5103 5130 5184 5292 5320 5376 5400 5472 5477 5586 5600 5670 5700 5760 5832 5880 5985 6048 6075 6080 6156 6272 6300 6384 6400 6480 6561 6615 6650 6720 6804 6840 6912 7056 7182 7200 7290 7296 7350 7448 7560 7600 7680 7695 7776 7840 7938 7980 8064 8100 8208 8379 8400 8505 8512 8550 8640 8748 8820 8960 9072 9120 9234 9310 9408 9450 9576 9600 9720 9728 9800 9975 10080 10206 10260 10368 10584 10640 10752 10773 10800 10935 10944 10954 11025 11172 11200 11340 11400 11520 11664 11760 11907 11970 12096 12150 12160 12312 12544 12600 12768 12800 12825 12960 13122 13230 13300 13440 13608 13680 13824 13851 13965 14112 14175 14364 14400 14580 14592 14700 14896 15120 15200 15309 15390 15552 15680 15876 15960 16128 16200 16416 16431 16758 16800 17010 17024 17100 17280 17496 17640 17920 17955 18144 18225 18240 18468 18620 18816 18900 19152 19200 19440 19600 19845 19950 20160 20412 20520 20736 21168 21280 21546 21600 21870 21888 21908 22050 22344 22400 22680 22800 23040 23085 23275 23328 23520 23814 23940 24192 24300 24320 24624 25088 25137 25200 25515 25536 25650 25920 26244 26460 26600 26880 27216 27360 27385 27702 27930 28224 28350 28728 28800 29160 29184 29400 29792 29925 30240 30400 30618 30780 31104 31360 31752 31920 32256 32319 32400 32805 32832 32862 33075 33516 33600 34020 34048 34200 34560 34992 35280 35721 35910 36288 36450 36480 36936 37240 37632 37800 38304 38339 38400 38475 38880 39200 39690 39900 40320 40824 41040 41472 41553 41895 42336 42525 42560 43092 43200 43740 43776 43816 44100 44688 44800 45360 45600 45927 46170 46550 46656 47040 47628 47880 48384 48600 48640 49248 49293 50274 50400 51030 51072 51300 51840 52488 52920 53200 53760 53865 54432 54675 54720 54770 55404 55860 56448 56700 57456 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53662331520 53946259200 54620587440 55070139600 55649825280 55758516345 56345448096 56643572160 57495355200 58261959936 58693175100 58741482240 59475750768 59624812800 60689541600 61953907050 62606053440 62937302400 63724018680 64394797824 64735511040 65268313600 66084167520 66910219614 67077914400 67972286592 68275734300 69562281600 70431810120 70489778688 70804465200 71549775360 72827449920 73426852800 74344688460 75127264128 75524762880 76468822416 76660473600 78186124800 78257566800 79301001024 79655023350 80493497280 80919388800 82605209400 83474737920 83916403200 84965358240 87392939904 88039762650 88112223360 89213626152 89437219200 90629715456 91034312400 91992568320 92749708800 92930860575 93909080160 94405953600 95586028020 97103266560 97902470400 99126251280 100169685504 100616871600 101958429888 104343422400 105734668032 106206697800 107324663040 107892518400 109241174880 110140279200 111517032690 112690896192 113287144320 114990710400 116523919872 117386350200 117482964480 118951501536 119249625600 119482535025 121379083200 123907814100 125212106880 125874604800 127448037360 128789595648 132168335040 133820439228 134155828800 135944573184 136551468600 139124563200 140863620240 141608930400 145654899840 146853705600 148689376920 150254528256 151049525760 152937644832 153320947200 156515133600 158602002048 159310046700 160986994560 161838777600 165210418800 166949475840 167275549035 169930716480 174785879808 176079525300 176224446720 178427252304 178874438400 182068624800 185861721150 187818160320 188811907200 191172056040 194206533120 195804940800 198252502560 201233743200 203916859776 208686844800 211469336064 212413395600 214649326080 218482349760 220280558400 223034065380 225381792384 226574288640 229981420800 234772700400 237903003072 238965070050 242758166400 247815628200 250424213760 251749209600 254896074720 264336670080 267640878456 268311657600 271889146368 273102937200 278249126400 278792581725 281727240480 283217860800 291309799680 293707411200 297378753840 300509056512 305875289664 313030267200 317204004096 318620093400 321973989120 323677555200 330420837600 334551098070 339861432960 349571759616 352159050600 352448893440 356854504608 357748876800 364137249600 371723442300 375636320640 377623814400 382344112080 396505005120 402467486400 407833719552 417373689600 424826791200 436964699520 440561116800 446068130760 450763584768 453148577280 459962841600 469545400800 475806006144 477930140100 485516332800 495631256400 500848427520 509792149440 528673340160 535281756912 536623315200 546205874400 557585163450 563454480960 566435721600 582619599360 587414822400 594757507680 611750579328 626060534400 634408008192 637240186800 643947978240 660841675200 669102196140 679722865920 704318101200 713709009216 728274499200 743446884600 751272641280 755247628800 764688224160 793010010240 804934972800 815667439104 834747379200 836377745175 849653582400 873929399040 881122233600 892136261520 901527169536 939090801600 951612012288 955860280200 971032665600 991262512800 1019584298880 1057346680320 1070563513824 1073246630400 1092411748800 1115170326900 1126908961920 1132871443200 1189515015360 1223501158656 1252121068800 1274480373600 1321683350400 1338204392280 1359445731840 1408636202400 1427418018432 1456548998400 1486893769200 1502545282560 1529376448320 1586020020480 1609869945600 1672755490350 1699307164800 1747858798080 1762244467200 1784272523040 1878181603200 1903224024576 1911720560400 1982525025600 2039168597760 2141127027648 2184823497600 2230340653800 2253817923840 2265742886400 2379030030720 2447002317312 2504242137600 2548960747200 2643366700800 2676408784560 2817272404800 2854836036864 2913097996800 2973787538400 3058752896640 3172040040960 3219739891200 3345510980700 3398614329600 3568545046080 3756363206400 3823441120800 3965050051200 4078337195520 4282254055296 4369646995200 4460681307600 4507635847680 4758060061440 5097921494400 5286733401600 5352817569120 5634544809600 5709672073728 5947575076800 6117505793280 6691021961400 6797228659200 7137090092160 7512726412800 7646882241600 7930100102400 8564508110592 8739293990400 8921362615200 9516120122880 10195842988800 10705635138240 11269089619200 11895150153600 12235011586560 13382043922800 14274180184320 15293764483200 15860200204800 17129016221184 17842725230400 20391685977600 21411270276480 22538179238400 23790300307200 26764087845600 28548360368640 30587528966400 35685450460800 42822540552960 47580600614400 53528175691200 61175057932800 71370900921600 85645081105920 107056351382400 142741801843200 214112702764800 428225405529600
- Sum of all divisors σ(n): 1948962301074360
- Sum of proper divisors (its aliquot sum) s(n): 1520736895544760
- 428225405529600 is an abundant number, because the sum of its proper divisors (1520736895544760) is greater than itself. Its abundance is 1092511490015160
Bases of 428225405529600
- Binary: 11000010101110111111111110010111000101110000000002
- Hexadecimal: 0x18577FF2E2E00
- Base-36: 47SK1A0000
Squares and roots of 428225405529600
- 428225405529600 squared (4282254055296002) is 183376997940990374256476160000
- 428225405529600 cubed (4282254055296003) is 78526689308081227226629579695074574336000000
-
The
square root of 428225405529600 is 20693607.8422685877 -
The
cube root of 428225405529600 is 75374.4477350491
Scales and comparisons
How big is 428225405529600?- 428,225,405,529,600 seconds is equal to 13,616,243 years, 16 weeks.
-
To count from 1 to 428,225,405,529,600 would take you about thirty-four million, forty thousand, six hundred 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 428225405529600 cubic inches would be around 6281.2 feet tall.
Recreational maths with 428225405529600
- 428225405529600 backwards is 006925504522824
- 428225405529600 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428225405529600's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 428225405529600 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 428225405529600 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/428225405529600/
Chicago style:
Numbermatics. 2024. "Number 428225405529600 - Facts about the integer". https://numbermatics.com/n/428225405529600/
The information we have on file for 428225405529600 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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