428890243814009964
428,890,243,814,009,964 is an even composite number composed of six prime numbers multiplied together.
428890243814009964 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 428890243814009964:
22 × 39 × 7 × 192 × 313 × 2692
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 19 × 19 × 31 × 31 × 31 × 269 × 269)See below for interesting mathematical facts about the number 428890243814009964 from the Numbermatics database.
Names of 428890243814009964
- Cardinal: 428890243814009964 can be written as Four hundred twenty-eight quadrillion, eight hundred ninety trillion, two hundred forty-three billion, eight hundred fourteen million, nine thousand, nine hundred sixty-four.
Scientific notation
- Scientific notation: 4.28890243814009964 × 1017
Factors of 428890243814009964
Divisors of 428890243814009964
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 6 7 9 12 14 18 19 21 27 28 31 36 38 42 54 57 62 63 76 81 84 93 108 114 124 126 133 162 171 186 189 217 228 243 252 266 269 279 324 342 361 372 378 399 434 486 513 532 538 558 567 589 651 684 722 729 756 798 807 837 868 961 972 1026 1076 1083 1116 1134 1178 1197 1302 1444 1458 1539 1596 1614 1674 1701 1767 1883 1922 1953 2052 2166 2187 2268 2356 2394 2421 2511 2527 2604 2883 2916 3078 3228 3249 3348 3402 3534 3591 3766 3844 3906 4123 4332 4374 4617 4788 4842 5022 5054 5103 5111 5301 5649 5766 5859 6156 6498 6561 6727 6804 7068 7182 7263 7532 7533 7581 7812 8246 8339 8649 8748 9234 9684 9747 10044 10108 10206 10222 10602 10773 11191 11298 11532 11718 12369 12996 13122 13454 13851 14364 14526 15066 15162 15309 15333 15903 16492 16678 16947 17298 17577 18259 18468 19494 19683 20181 20412 20444 21204 21546 21789 22382 22596 22599 22743 23436 24738 25017 25947 26244 26908 27702 29052 29241 29791 30132 30324 30618 30666 31806 32319 33356 33573 33894 34596 35154 35777 36518 37107 38988 39366 40362 41553 43092 43578 44764 45198 45486 45927 45999 47709 49476 50034 50841 51894 52731 54777 55404 58373 58482 59582 60543 61236 61332 63612 64638 65367 67146 67788 67797 68229 70308 71554 72361 73036 74214 75051 77841 78337 78732 80724 83106 87156 87723 89373 90396 90972 91854 91998 95418 96957 97109 100068 100719 101682 103788 105462 107331 109554 111321 116746 116964 119164 121086 124659 127813 129276 130734 134292 135594 136458 137781 137997 143108 143127 144722 148428 150102 152523 155682 156674 158193 158441 164331 166212 175119 175446 178746 181629 183708 183996 190836 193914 194218 196101 201438 203364 203391 204687 208537 210924 214662 217083 219108 222642 225153 233492 233523 235011 242172 249318 255626 258509 261468 263169 268119 271188 272916 275562 275994 286254 289444 290871 291327 300204 302157 305046 311364 313348 316386 316882 321993 328662 333963 346921 350238 350892 357492 363258 373977 383439 387828 388436 392202 402876 406782 409374 413991 417074 429324 429381 434166 445284 450306 457569 467046 470022 474579 475323 492993 498636 506527 511252 517018 525357 526338 536238 544887 551124 551988 566029 572508 581742 582654 588303 604314 610092 610173 614061 625611 632772 633764 643986 651249 657324 667926 675459 679763 693842 700476 700569 705033 726516 747954 766878 775527 784404 789507 804357 813564 818748 827982 834148 858762 868332 872613 873981 900612 906471 915138 934092 940044 949158 950646 965979 985986 1001889 1013054 1034036 1040763 1050714 1052676 1072476 1089774 1109087 1132058 1150317 1163484 1165308 1176606 1208628 1220346 1228122 1241973 1251222 1287972 1288143 1302498 1335852 1350918 1359526 1372707 1374859 1387684 1401138 1410066 1423737 1425969 1478979 1495908 1519581 1533756 1551054 1576071 1579014 1608714 1634661 1655964 1698087 1717524 1745226 1747962 1764909 1809563 1812942 1830276 1842183 1876833 1898316 1901292 1931958 1953747 1971972 2003778 2026108 2026377 2039289 2081526 2101428 2101707 2115099 2179548 2218174 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42023343505194 42430772043333 42701139368181 44002282119012 44288542318671 46446853347846 49027234089393 49588419911436 51431855595876 52011914117634 54901464901947 56574362724444 56934852490908 56942411552577 59051389758228 59717382875802 60680566470573 63035015257791 63756539886132 65369645452524 66003423178518 69670280021769 73201953202596 74382629867154 75923215403436 80907421960764 83915132814324 84046687010388 84861544086666 85402278736362 88577084637342 89576074313703 92893706695692 98054468178786 99005134767777 104023828235268 109802929803894 111573944800731 113884823105154 119434765751604 121361132941146 126070030515582 128103418104543 132006846357036 132865626956013 139340560043538 147081702268179 148765259734308 164704394705841 169723088173332 170804557472724 177154169274684 179152148627406 182041699411719 189105045773373 196108936357572 198010269535554 209010840065307 219605859607788 223147889601462 227769646210308 242722265882292 252140061031164 256206836209086 265731253912026 268728222941109 278681120087076 294163404536358 297015404303331 329408789411682 358304297254812 364083398823438 378210091546746 384310254313629 396020539071108 398596880868039 418021680130614 441245106804537 446295779202924 494113184117523 512413672418172 531462507824052 537456445882218 567315137320119 588326809072716 594030808606662 627032520195921 658817578823364 728166797646876 756420183093492 768620508627258 797193761736078 806184668823327 836043360261228 882490213609074 988226368235046 1074912891764436 1134630274640238 1152930762940887 1188061617213324 1254065040391842 1323735320413611 1537241017254516 1594387523472156 1612369337646654 1701945411960357 1764980427218148 1881097560587763 1976452736470092 2269260549280476 2305861525881774 2508130080783684 2647470640827222 3224738675293308 3403890823920714 3458792288822661 3762195121175526 3971205961240833 4611723051763548 5105836235881071 5294941281654444 5643292681763289 6807781647841428 6917584577645322 7524390242351052 7942411922481666 10211672471762142 11286585363526578 11913617883722499 13835169155290644 15317508707643213 15884823844963332 20423344943524284 22573170727053156 23827235767444998 30635017415286426 35740853651167497 47654471534889996 61270034830572852 71481707302334994 107222560953502491 142963414604669988 214445121907004982 428890243814009964
- Sum of all divisors σ(n): 1408430020290349056
- Sum of proper divisors (its aliquot sum) s(n): 979539776476339092
- 428890243814009964 is an abundant number, because the sum of its proper divisors (979539776476339092) is greater than itself. Its abundance is 550649532662329128
Bases of 428890243814009964
- Binary: 101111100111011100101100111100001100010101000101100011011002
- Hexadecimal: 0x5F3B967862A2C6C
- Base-36: 39B0WHZGX6R0
Squares and roots of 428890243814009964
- 428890243814009964 squared (4288902438140099642) is 183946841238840912191374725491281296
- 428890243814009964 cubed (4288902438140099643) is 78893005587743461482842974854642030830462698070833344
-
The
square root of 428890243814009964 is 654897124.6035593671 -
The
cube root of 428890243814009964 is 754134.3491846351
Scales and comparisons
How big is 428890243814009964?- 428,890,243,814,009,964 seconds is equal to 13,637,383,108 years, 34 weeks, 1 day, 59 minutes, 24 seconds.
-
To count from 1 to 428,890,243,814,009,964 would take you about forty billion, nine hundred twelve million, one hundred forty-nine thousand, three hundred twenty-five 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 428890243814009964 cubic inches would be around 62844.5 feet tall.
Recreational maths with 428890243814009964
- 428890243814009964 backwards is 469900418342098824
- 428890243814009964 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 428890243814009964's digits is 81
- More coming soon!
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"Number 428890243814009964 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 428890243814009964 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/428890243814009964/
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The information we have on file for 428890243814009964 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 428890243814009964, math, Factors of 428890243814009964, curriculum, school, college, exams, university, Prime factorization of 428890243814009964, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, eight hundred ninety trillion, two hundred forty-three billion, eight hundred fourteen million, nine thousand, nine hundred sixty-four.