428271629193408
428,271,629,193,408 is an even composite number composed of seven prime numbers multiplied together.
428271629193408 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred ninety-two divisors.
Prime factorization of 428271629193408:
26 × 3 × 7 × 11 × 133 × 473 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 13 × 13 × 47 × 47 × 47 × 127)See below for interesting mathematical facts about the number 428271629193408 from the Numbermatics database.
Names of 428271629193408
- Cardinal: 428271629193408 can be written as Four hundred twenty-eight trillion, two hundred seventy-one billion, six hundred twenty-nine million, one hundred ninety-three thousand, four hundred eight.
Scientific notation
- Scientific notation: 4.28271629193408 × 1014
Factors of 428271629193408
Divisors of 428271629193408
- Number of divisors d(n): 1792
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 32 33 39 42 44 47 48 52 56 64 66 77 78 84 88 91 94 96 104 112 127 132 141 143 154 156 168 169 176 182 188 192 208 224 231 254 264 273 282 286 308 312 329 336 338 352 364 376 381 416 429 448 462 507 508 517 528 546 564 572 611 616 624 658 672 676 704 728 752 762 832 858 889 924 987 1001 1014 1016 1034 1056 1092 1128 1144 1183 1222 1232 1248 1316 1344 1352 1397 1456 1504 1524 1551 1651 1716 1778 1833 1848 1859 1974 2002 2028 2032 2068 2112 2184 2197 2209 2256 2288 2366 2444 2464 2496 2632 2667 2704 2794 2912 3003 3008 3048 3102 3302 3432 3549 3556 3619 3666 3696 3718 3948 4004 4056 4064 4136 4191 4277 4368 4394 4418 4512 4576 4732 4888 4928 4953 5264 5334 5408 5577 5588 5824 5969 6006 6096 6204 6591 6604 6627 6721 6864 7098 7112 7238 7332 7392 7436 7896 7943 8008 8112 8128 8272 8382 8554 8736 8788 8836 9024 9152 9464 9776 9779 9906 10528 10668 10816 10857 11154 11176 11557 11938 12012 12192 12408 12831 13013 13182 13208 13254 13442 13728 14196 14224 14476 14664 14784 14872 15379 15463 15792 15886 16016 16224 16544 16764 17108 17472 17576 17672 17907 18161 18928 19552 19558 19812 20163 21056 21336 21463 21714 22308 22352 23114 23829 23876 24024 24167 24299 24384 24816 25662 26026 26364 26416 26508 26884 27456 28392 28448 28717 28952 29328 29337 29744 30758 30926 31584 31772 32032 32448 33088 33528 34216 34671 35152 35344 35814 36322 37856 39039 39104 39116 39624 40326 41783 42672 42926 43428 44616 44704 46137 46228 46389 47047 47658 47752 48048 48334 48598 49632 51324 52052 52728 52832 53016 53768 54483 55601 56784 56896 57434 57904 58656 58674 59488 61516 61852 63168 63544 64064 64389 65659 67056 68432 69342 70304 70688 71628 72501 72644 72897 75712 77597 78078 78232 79248 80652 83566 85344 85852 86151 86856 87373 89232 89408 92274 92456 92778 94094 95316 95504 96096 96668 97196 99264 102648 103259 103823 104104 105456 105664 106032 107536 108966 111202 113568 114868 115808 117312 117348 118976 123032 123704 125349 127088 127127 128778 131318 134112 136864 138684 140608 141141 141376 143256 145002 145288 145794 150241 155194 156156 156464 158496 161304 166803 167132 169169 170093 170688 171704 172302 173712 174746 178464 184548 184912 185556 188188 190632 191008 192192 193336 194392 196977 201019 205296 206518 207646 208208 210912 212064 215072 217932 222404 227136 229736 231616 232791 234696 236093 246064 247408 250698 254176 254254 257556 262119 262636 268224 273728 277368 279019 280543 282282 286512 290004 290576 291588 300482 309777 310388 311469 312312 312928 315887 316992 322608 333606 334264 338338 340186 343408 344604 347424 349492 356928 369096 369824 371112 373321 376376 381264 381381 382016 386672 388784 393954 402038 410592 413036 415292 416416 421824 424128 430144 435864 444808 450723 459472 459613 465582 469392 472186 492128 494816 501396 507507 508352 508508 510279 515112 524238 525272 543179 554736 558038 561086 564564 573024 580008 581152 583176 600964 603057 611611 619554 620776 622938 624624 625856 631774 645216 667212 668528 676676 680372 686816 689208 694848 698984 708279 722813 726761 738192 739648 742224 746642 752752 762528 762762 773344 777568 787908 804076 821184 826072 830584 832832 837057 841629 853567 871728 889616 901446 918944 919226 931164 938784 944372 947661 984256 989632 1002792 1008761 1015014 1017016 1020558 1030224 1048476 1050544 1086358 1109472 1116076 1119963 1122172 1129128 1135849 1142053 1146048 1160016 1162304 1166352 1201928 1206114 1223222 1239108 1241552 1245876 1249248 1263548 1290432 1334424 1337056 1349699 1353352 1360744 1373632 1378416 1378839 1397968 1416558 1445626 1453522 1476384 1484448 1493284 1505504 1525056 1525524 1546688 1555136 1575816 1608152 1629537 1652144 1652651 1661168 1674114 1683258 1707134 1743456 1779232 1802892 1834833 1837888 1838452 1862328 1877568 1888744 1895322 1953133 1963801 2005584 2017522 2030028 2034032 2041116 2060448 2096952 2101088 2168439 2172716 2180283 2211209 2218944 2232152 2239926 2244344 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10036361764 10249901376 10620235808 10808389592 10948758288 10952118177 10970353472 11313177018 11790970464 11958218272 12117237132 12183421404 12352445248 12516706488 12773551336 12943412391 13198706521 13370118294 13479530064 13559765362 13848271008 13923910176 14398588932 14598344384 14602824236 14792471304 14913522624 15054542646 15084236024 15598471343 15930353712 16156316176 16212584388 16244561872 16455530208 16688941984 17257883188 17563633087 17625072192 17721340224 17826824392 17937327408 17972706752 18528667872 19160327004 19198118576 19723295072 19953950016 20072723528 20339648043 21240471616 21616779184 21897516576 21904236354 22626354036 23581940928 23916436544 24234474264 24366842808 24511883539 25033412976 25547102672 25886824782 26397413042 26740236588 26959060128 27119530724 27696542016 27847820352 28797177864 28968589637 29205648472 29584942608 30109085292 30168472048 31196942686 31860707424 32312632352 32425168776 32489123744 32911060416 33377883968 34515766376 35127266174 35653648784 35874654816 37057335744 38320654008 38396237152 39446590144 39596119563 40145447056 40679296086 43233558368 43795033152 43808472708 45252708072 46795414029 47459178767 48468948528 48733685616 49023767078 50066825952 51094205344 51773649564 52690899261 52794826084 53480473176 53918120256 54239061448 57594355728 57937179274 58411296944 59169885216 60218170584 60336944096 62393885372 63721414848 64625264704 64850337552 64978247488 69031532752 70254532348 71307297568 71749309632 73535650617 76641308016 76792474304 79192239126 80290894112 81358592172 86467116736 86905768911 87616945416 90505416144 93590828058 94918357534 96937897056 97467371232 98047534156 100133651904 102188410688 103547299128 105381798522 105589652168 106960946352 108478122896 115188711456 115874358548 116822593888 118339770432 120436341168 120673888192 124787770744 129700675104 138063065504 140509064696 142377536301 142614595136 147071301234 153282616032 158384478252 160581788224 162717184344 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1497453248928 1518693720544 1568760546496 1622241019672 1686108776352 1853989736768 1911926916042 2058998217276 2230581402049 2278040580816 2353140819744 2433361529508 2534151652032 2549235888056 2745330956368 2780984605152 2994906497856 3037387441088 3244482039344 3372217552704 3823853832084 4117996434552 4461162804098 4556081161632 4706281639488 4866723059016 5098471776112 5490661912736 5561969210304 6488964078688 6691744206147 7647707664168 8235992869104 8922325608196 9112162323264 9733446118032 10196943552224 10981323825472 12977928157376 13383488412294 15295415328336 16471985738208 17844651216392 19466892236064 20393887104448 26766976824588 30590830656672 32943971476416 35689302432784 38933784472128 53533953649176 61181661313344 71378604865568 107067907298352 142757209731136 214135814596704 428271629193408
- Sum of all divisors σ(n): 1575996987801600
- Sum of proper divisors (its aliquot sum) s(n): 1147725358608192
- 428271629193408 is an abundant number, because the sum of its proper divisors (1147725358608192) is greater than itself. Its abundance is 719453729414784
Bases of 428271629193408
- Binary: 11000010110000010110000100101001101010000110000002
- Hexadecimal: 0x18582C25350C0
- Base-36: 47T59QDJ9C
Squares and roots of 428271629193408
- 428271629193408 squared (4282716291934082) is 183416588371975959480670654464
- 428271629193408 cubed (4282716291934083) is 78552121123162837639471941571030951794573312
-
The
square root of 428271629193408 is 20694724.6706354613 -
The
cube root of 428271629193408 is 75377.1596695695
Scales and comparisons
How big is 428271629193408?- 428,271,629,193,408 seconds is equal to 13,617,713 years, 4 weeks, 2 hours, 36 minutes, 48 seconds.
-
To count from 1 to 428,271,629,193,408 would take you about thirty-four million, forty-four thousand, two hundred eighty-two 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 428271629193408 cubic inches would be around 6281.4 feet tall.
Recreational maths with 428271629193408
- 428271629193408 backwards is 804391926172824
- 428271629193408 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428271629193408's digits is 66
- More coming soon!
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MLA style:
"Number 428271629193408 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 428271629193408 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/428271629193408/
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Numbermatics. 2024. "Number 428271629193408 - Facts about the integer". https://numbermatics.com/n/428271629193408/
The information we have on file for 428271629193408 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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