828428242059264
828,428,242,059,264 is an even composite number composed of six prime numbers multiplied together.
828428242059264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 828428242059264:
216 × 3 × 72 × 113 × 23 × 532
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 11 × 11 × 11 × 23 × 53 × 53)See below for interesting mathematical facts about the number 828428242059264 from the Numbermatics database.
Names of 828428242059264
- Cardinal: 828428242059264 can be written as Eight hundred twenty-eight trillion, four hundred twenty-eight billion, two hundred forty-two million, fifty-nine thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 8.28428242059264 × 1014
Factors of 828428242059264
Divisors of 828428242059264
- Number of divisors d(n): 2448
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 23 24 28 32 33 42 44 46 48 49 53 56 64 66 69 77 84 88 92 96 98 106 112 121 128 132 138 147 154 159 161 168 176 184 192 196 212 224 231 242 253 256 264 276 294 308 318 322 336 352 363 368 371 384 392 424 448 462 483 484 506 512 528 539 552 583 588 616 636 644 672 704 726 736 742 759 768 784 847 848 896 924 966 968 1012 1024 1056 1078 1104 1113 1127 1166 1176 1219 1232 1272 1288 1331 1344 1408 1452 1472 1484 1518 1536 1568 1617 1694 1696 1749 1771 1792 1848 1932 1936 2024 2048 2112 2156 2208 2226 2254 2332 2352 2438 2464 2541 2544 2576 2597 2662 2688 2783 2809 2816 2904 2944 2968 3036 3072 3136 3234 3381 3388 3392 3498 3542 3584 3657 3696 3864 3872 3993 4048 4081 4096 4224 4312 4416 4452 4508 4664 4704 4876 4928 5082 5088 5152 5194 5313 5324 5376 5566 5618 5632 5808 5888 5929 5936 6072 6144 6272 6413 6468 6762 6776 6784 6996 7084 7168 7314 7392 7728 7744 7791 7986 8096 8162 8192 8349 8427 8448 8533 8624 8832 8904 9016 9317 9328 9408 9752 9856 10164 10176 10304 10388 10626 10648 10752 11132 11236 11264 11616 11776 11858 11872 12144 12243 12288 12397 12544 12826 12936 13409 13524 13552 13568 13992 14168 14336 14628 14784 15456 15488 15582 15972 16192 16324 16384 16698 16854 16896 17066 17248 17664 17787 17808 18032 18634 18656 18816 19239 19481 19504 19663 19712 20328 20352 20608 20776 21252 21296 21504 22264 22472 22528 23232 23552 23716 23744 24288 24486 24576 24794 25088 25599 25652 25872 26818 27048 27104 27136 27951 27984 28336 28567 28672 29256 29568 30613 30899 30912 30976 31164 31944 32384 32648 32768 33396 33708 33792 34132 34496 35328 35574 35616 36064 37191 37268 37312 37632 38478 38962 39008 39326 39424 40227 40656 40704 41216 41552 42504 42592 43008 44528 44891 44944 45056 46464 47104 47432 47488 48576 48972 49152 49588 50176 51198 51304 51744 53636 54096 54208 54272 55902 55968 56672 57134 57344 58443 58512 58989 59136 59731 61226 61798 61824 61952 62328 63888 64607 64768 65219 65296 65536 66792 67416 67584 68264 68992 70543 70656 71148 71232 72128 74382 74536 74624 75264 76956 77924 78016 78652 78848 80454 81312 81408 82432 83104 85008 85184 85701 86016 89056 89782 89888 90112 91839 92697 92928 93863 94208 94864 94976 97152 97944 98304 99176 100352 102396 102608 103488 107272 108192 108416 108544 111804 111936 113344 114268 114688 116886 117024 117978 118272 119462 122452 123596 123648 123904 124656 127776 129214 129536 130438 130592 133584 134673 134832 135168 136367 136528 137641 137984 141086 141312 142296 142464 144256 147499 148764 149072 149248 150528 153912 155848 156032 157304 157696 160908 162624 162816 164864 166208 170016 170368 171402 172032 178112 179193 179564 179776 180224 183678 185394 185856 187726 188416 189728 189952 193821 194304 195657 195888 196608 198352 200704 204792 205216 206976 211629 214291 214544 216293 216384 216832 217088 223608 223872 226688 228536 229376 233772 234048 235956 236544 238924 244904 247192 247296 247808 249312 255552 258428 259072 260876 261184 267168 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321594814464 325640032256 326024495104 336212760576 339798294528 352222892032 355243671552 367536930816 372160036864 375193950208 384243154944 392248220672 404505977568 409302491136 427907149824 428793085952 448283680768 462292545792 467774275584 473658228736 488460048384 489036742656 512324206592 528334338048 539341303424 545736654848 558240055296 562790925312 570542866432 588372331008 616390061056 622410399744 643189628928 651280064512 672425521152 679596589056 704445784064 710487343104 735073861632 744320073728 750387900416 768486309888 784496441344 809011955136 818604982272 855814299648 857586171904 896567361536 924585091584 976920096768 978073485312 1056668676096 1078682606848 1091473309696 1116480110592 1125581850624 1141085732864 1176744662016 1232780122112 1286379257856 1302560129024 1344851042304 1408891568128 1420974686208 1500775800832 1536972619776 1568992882688 1618023910272 1637209964544 1711628599296 1715172343808 1793134723072 1849170183168 1953840193536 2113337352192 2157365213696 2232960221184 2251163701248 2282171465728 2353489324032 2465560244224 2572758515712 2605120258048 2689702084608 2817783136256 3001551601664 3137985765376 3236047820544 3274419929088 3423257198592 3586269446144 3698340366336 3907680387072 4226674704384 4314730427392 4502327402496 4706978648064 4931120488448 5145517031424 5210240516096 5379404169216 5635566272512 6003103203328 6275971530752 6472095641088 6846514397184 7396680732672 7815360774144 8453349408768 8629460854784 9004654804992 9413957296128 9862240976896 10758808338432 12006206406656 12551943061504 12944191282176 14793361465344 15630721548288 16906698817536 17258921709568 18009309609984 18827914592256 19724481953792 25103886123008 25888382564352 29586722930688 34517843419136 36018619219968 37655829184512 39448963907584 51776765128704 59173445861376 69035686838272 75311658369024 103553530257408 118346891722752 138071373676544 207107060514816 276142747353088 414214121029632 828428242059264
- Sum of all divisors σ(n): 3006181005053184
- Sum of proper divisors (its aliquot sum) s(n): 2177752762993920
- 828428242059264 is an abundant number, because the sum of its proper divisors (2177752762993920) is greater than itself. Its abundance is 1349324520934656
Bases of 828428242059264
- Binary: 101111000101110011011110110001011100000000000000002
- Hexadecimal: 0x2F1737B170000
- Base-36: 85NIOHXSLC
Squares and roots of 828428242059264
- 828428242059264 squared (8284282420592642) is 686293352241402506671288221696
- 828428242059264 cubed (8284282420592643) is 568544795334304327443323051530290763602591744
-
The
square root of 828428242059264 is 28782429.3981460849 -
The
cube root of 828428242059264 is 93918.6047342365
Scales and comparisons
How big is 828428242059264?- 828,428,242,059,264 seconds is equal to 26,341,455 years, 31 weeks, 1 day, 15 hours, 34 minutes, 24 seconds.
-
To count from 1 to 828,428,242,059,264 would take you about sixty-five million, eight hundred fifty-three thousand, six hundred thirty-nine 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 828428242059264 cubic inches would be around 7826.6 feet tall.
Recreational maths with 828428242059264
- 828428242059264 backwards is 462950242824828
- 828428242059264 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 828428242059264's digits is 66
- More coming soon!
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Cite this page
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"Number 828428242059264 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
APA style:
Numbermatics. (2024). Number 828428242059264 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/828428242059264/
Chicago style:
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The information we have on file for 828428242059264 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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