47828928462405948
47,828,928,462,405,948 is an even composite number composed of seven prime numbers multiplied together.
47828928462405948 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 47828928462405948:
22 × 36 × 11 × 13 × 73 × 7692 × 2657
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 13 × 73 × 769 × 769 × 2657)See below for interesting mathematical facts about the number 47828928462405948 from the Numbermatics database.
Names of 47828928462405948
- Cardinal: 47828928462405948 can be written as Forty-seven quadrillion, eight hundred twenty-eight trillion, nine hundred twenty-eight billion, four hundred sixty-two million, four hundred five thousand, nine hundred forty-eight.
Scientific notation
- Scientific notation: 4.7828928462405948 × 1016
Factors of 47828928462405948
Divisors of 47828928462405948
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 73 78 81 99 108 117 132 143 146 156 162 198 219 234 243 286 292 297 324 351 396 429 438 468 486 572 594 657 702 729 769 803 858 876 891 949 972 1053 1188 1287 1314 1404 1458 1538 1606 1716 1782 1898 1971 2106 2307 2409 2574 2628 2657 2673 2847 2916 3076 3159 3212 3564 3796 3861 3942 4212 4614 4818 5148 5314 5346 5694 5913 6318 6921 7227 7722 7884 7971 8019 8459 8541 9228 9477 9636 9997 10439 10628 10692 11388 11583 11826 12636 13842 14454 15444 15942 16038 16918 17082 17739 18954 19994 20763 20878 21681 23166 23652 23913 25377 25623 27684 28908 29227 29991 31317 31884 32076 33836 34164 34541 34749 35478 37908 39988 41526 41756 43362 46332 47826 50754 51246 53217 56137 58454 59982 62289 62634 65043 69082 69498 70956 71739 76131 76869 83052 86724 87681 89973 93951 95652 101508 102492 103623 104247 106434 109967 112274 116908 119964 124578 125268 130086 138164 138996 143478 152262 153738 168411 175362 179946 186867 187902 193961 195129 207246 208494 212868 215217 219934 224548 228393 230607 249156 260172 263043 269919 281853 286956 304524 307476 310869 329901 336822 350724 359892 373734 375804 379951 387922 390258 414492 416988 430434 439868 456786 461214 505233 526086 539838 560601 563706 581883 585387 591361 617507 621738 645651 659802 673644 685179 691821 729781 747468 759902 775844 780516 789129 809757 845559 860868 913572 922428 932607 989703 1010466 1052172 1079676 1121202 1127412 1139853 1163766 1170774 1182722 1235014 1243476 1291302 1319604 1370358 1383642 1459562 1515699 1519804 1578258 1619514 1691118 1745649 1774083 1852521 1865214 1936953 1979406 2020932 2043233 2055537 2133571 2189343 2242404 2279706 2327532 2341548 2365444 2367387 2429271 2470028 2521493 2536677 2582604 2740716 2767284 2797821 2919124 2969109 3031398 3156516 3239028 3382236 3419559 3491298 3548166 3705042 3730428 3873906 3958812 4086466 4111074 4267142 4378686 4547097 4559412 4734774 4858542 5042986 5073354 5236947 5322249 5557563 5595642 5938218 6062796 6129699 6166611 6400713 6504971 6568029 6839118 6982596 7096332 7102161 7287813 7410084 7564479 7610031 7687693 7747812 8027591 8172932 8222148 8393463 8534284 8757372 8907327 9094194 9469548 9717084 10085972 10146708 10258677 10473894 10644498 11115126 11191284 11876436 12259398 12333222 12801426 13009942 13136058 13641291 13678236 14204322 14575626 15128958 15220062 15375386 15710841 15966747 16055182 16672689 16786926 17814654 18188388 18389097 19202139 19514913 19704087 20517354 20947788 21288996 21306483 22230252 22475563 22693437 23063079 24082773 24518796 24666444 25180389 25602852 26019884 26272116 26562029 26721981 27282582 27736423 28408644 29151252 30257916 30440124 30750772 30776031 31421682 31933494 32110364 33345378 33573852 35629308 36778194 38404278 39029826 39408174 40923873 41034708 42612966 43169353 44951126 45386874 46126158 47132523 47900241 48165546 50018067 50360778 53124058 53443962 54565164 55167291 55472846 57606417 58544739 59112261 61552062 62843364 63866988 66690756 67426689 68080311 69189237 72248319 73556388 76808556 78059652 78816348 79686087 80165943 81847746 83209269 84564623 85225932 86338706 89902252 90773748 92252316 92328093 94265046 95800482 96331092 100036134 100721556 106248116 106887924 110334582 110945692 115212834 117089478 118224522 123104124 129508059 134853378 136160622 138378474 141397569 143700723 144496638 149156009 150054201 159372174 160331886 163695492 165501873 166418538 169129246 172677412 172819251 175634217 177336783 184656186 188530092 191600964 200072268 202280067 204240933 207567711 216744957 220669164 230425668 234178956 236449044 239058261 249627807 253693869 259016118 269706756 272321244 276756948 276984279 282795138 287401446 288993276 292182319 298312018 300108402 318744348 320663772 331003746 332837076 338258492 345638502 351268434 354673566 369312372 388524177 404560134 408481866 415135422 431102169 433489914 447468027 450162603 474862883 478116522 496505619 499255614 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2022193829799 2064617476578 2206029632508 2290876926066 2303565402996 2392164072342 2523421360262 2696258439732 2799960687414 2827102994586 2982225243946 3000183694794 3096926214867 3309044448762 3455348104494 3785132040393 4044387659598 4129234953156 4199941031121 4473337865919 4500275542191 4581753852132 4784328144684 4963566673143 5046842720524 5183022156741 5599921374828 5654205989172 5964450487892 6000367389588 6066581489397 6193852429734 6618088897524 6910696208988 7570264080786 8088775319196 8399882062242 8946675731838 9000551084382 9290778644601 9927133346286 10366044313482 11355396121179 12133162978794 12387704859468 12599823093363 13420013597757 14890700019429 15140528161572 15549066470223 16402238841703 16799764124484 17893351463676 18001102168764 18199744468191 18581557289202 19854266692572 20732088626964 22710792242358 24266325957588 25199646186726 26840027195514 27872335933803 29781400038858 31098132940446 32804477683406 34066188363537 36399488936382 37163114578404 40260040793271 45421584484716 49206716525109 50399292373452 53680054391028 54599233404573 55744671867606 59562800077716 62196265880892 65608955366812 68132376727074 72798977872764 80520081586542 83617007801409 98413433050218 102198565090611 109198466809146 111489343735212 120780122379813 136264753454148 147620149575327 161040163173084 163797700213719 167234015602818 196826866100436 204397130181222 218396933618292 241560244759626 295240299150654 306595695271833 327595400427438 334468031205636 362340367139439 408794260362444 442860448725981 483120489519252 590480598301308 613191390543666 655190800854876 724680734278878 885720897451962 919787085815499 1087021101418317 1226382781087332 1328581346177943 1449361468557756 1771441794903924 1839574171630998 2174042202836634 2657162692355886 3679148343261996 3985744038533829 4348084405673268 5314325384711772 7971488077067658 11957232115601487 15942976154135316 23914464231202974 47828928462405948
- Sum of all divisors σ(n): 149703508402299936
- Sum of proper divisors (its aliquot sum) s(n): 101874579939893988
- 47828928462405948 is an abundant number, because the sum of its proper divisors (101874579939893988) is greater than itself. Its abundance is 54045651477488040
Bases of 47828928462405948
- Binary: 101010011110110000101000001100101111110101000001001111002
- Hexadecimal: 0xA9EC2832FD413C
- Base-36: D2XXUEK6FR0
Squares and roots of 47828928462405948
- 47828928462405948 squared (478289284624059482) is 2287606397861945801146748745778704
- 47828928462405948 cubed (478289284624059483) is 109413762753481164717168384499821778458924621331392
-
The
square root of 47828928462405948 is 218698258.9377564021 -
The
cube root of 47828928462405948 is 362991.8579489193
Scales and comparisons
How big is 47828928462405948?- 47,828,928,462,405,948 seconds is equal to 1,520,811,980 years, 26 weeks, 5 days, 11 hours, 25 minutes, 48 seconds.
-
To count from 1 to 47,828,928,462,405,948 would take you about four billion, five hundred sixty-two million, four hundred thirty-five thousand, nine hundred forty-one 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 47828928462405948 cubic inches would be around 30249.3 feet tall.
Recreational maths with 47828928462405948
- 47828928462405948 backwards is 84950426482982874
- The number of decimal digits it has is: 17
- The sum of 47828928462405948's digits is 90
- More coming soon!
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The information we have on file for 47828928462405948 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!
Keywords: Divisors of 47828928462405948, math, Factors of 47828928462405948, curriculum, school, college, exams, university, Prime factorization of 47828928462405948, STEM, science, technology, engineering, physics, economics, calculator, forty-seven quadrillion, eight hundred twenty-eight trillion, nine hundred twenty-eight billion, four hundred sixty-two million, four hundred five thousand, nine hundred forty-eight.