428008941903312
428,008,941,903,312 is an even composite number composed of six prime numbers multiplied together.
428008941903312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 428008941903312:
24 × 37 × 7 × 112 × 672 × 3217
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 67 × 67 × 3217)See below for interesting mathematical facts about the number 428008941903312 from the Numbermatics database.
Names of 428008941903312
- Cardinal: 428008941903312 can be written as Four hundred twenty-eight trillion, eight billion, nine hundred forty-one million, nine hundred three thousand, three hundred twelve.
Scientific notation
- Scientific notation: 4.28008941903312 × 1014
Factors of 428008941903312
Divisors of 428008941903312
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 67 72 77 81 84 88 99 108 112 121 126 132 134 144 154 162 168 176 189 198 201 216 231 242 243 252 264 268 297 308 324 336 363 378 396 402 432 462 469 484 486 504 528 536 567 594 603 616 648 693 726 729 737 756 792 804 847 891 924 938 968 972 1008 1072 1089 1134 1188 1206 1232 1296 1386 1407 1452 1458 1474 1512 1584 1608 1694 1701 1782 1809 1848 1876 1936 1944 2079 2178 2187 2211 2268 2376 2412 2541 2673 2772 2814 2904 2916 2948 3024 3216 3217 3267 3388 3402 3564 3618 3696 3752 3888 4158 4221 4356 4374 4422 4489 4536 4752 4824 5082 5103 5159 5346 5427 5544 5628 5808 5832 5896 6237 6434 6534 6633 6776 6804 7128 7236 7504 7623 8019 8107 8316 8442 8712 8748 8844 8978 9072 9648 9651 9801 10164 10206 10318 10692 10854 11088 11256 11664 11792 12474 12663 12868 13068 13266 13467 13552 13608 14256 14472 15246 15309 15477 16038 16214 16281 16632 16884 17424 17496 17688 17956 18711 19302 19602 19899 20328 20412 20636 21384 21708 22512 22519 22869 24057 24321 24948 25326 25736 26136 26532 26934 27216 28944 28953 29403 30492 30618 30954 31423 32076 32428 32562 33264 33768 34992 35376 35387 35912 37422 37989 38604 39204 39798 40401 40656 40824 41272 42768 43416 45038 45738 46431 48114 48642 48843 49379 49896 50652 51472 52272 53064 53868 56133 56749 57906 58806 59697 60984 61236 61908 62846 64152 64856 65124 67536 67557 68607 70774 71824 72963 74844 75978 77208 78408 79596 80802 81648 82544 86832 86859 88209 90076 91476 92862 94269 96228 97284 97686 98758 99792 101304 106128 106161 107736 112266 113498 113967 115812 117612 119394 121203 121968 122472 123816 125692 128304 129712 130248 135114 137214 139293 141548 145926 146529 148137 149688 151956 154416 156816 159192 161604 168399 170247 173718 176418 179091 180152 182952 185724 188538 192456 194568 195372 197516 202608 202671 205821 212322 215472 215539 218889 224532 226996 227934 231624 235224 238788 242406 244944 247632 247709 251384 260496 260577 264627 270228 274428 278586 282807 283096 291852 293058 296274 299376 303912 318384 318483 323208 336798 340494 341901 345653 347436 352836 358182 360304 363609 365904 371448 377076 384912 389136 389257 390744 395032 405342 411642 417879 424644 431078 437778 444411 449064 453992 455868 463248 470448 477576 484812 495418 502768 510741 521154 529254 537273 540456 543169 548856 557172 565614 566192 583704 586116 592548 607824 608013 617463 636966 646416 646617 656667 673596 680988 683802 691306 694872 705672 716364 727218 742896 743127 754152 778514 781488 781731 790064 810684 823284 835758 848421 849288 862156 875556 888822 898128 907984 911736 955152 955449 969624 990836 1021482 1025703 1036959 1042308 1058508 1074546 1080912 1086338 1090827 1097712 1114344 1131228 1167408 1167771 1172232 1185096 1216026 1234926 1253637 1273932 1293234 1313334 1333233 1347192 1361976 1367604 1382612 1389744 1411344 1432728 1454436 1486254 1508304 1508773 1532223 1557028 1563462 1611819 1621368 1629507 1646568 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5458740714 5543582814 5633327304 5718680748 5866109424 5959135413 6047544888 6238560816 6335523216 6337493217 6572215188 6599373102 6671794206 6810440472 6913628964 6989498692 7018380918 7169689296 7278320952 7391443752 7542140688 7624907664 7945513884 8065900458 8188111071 8315374221 8449990956 8578021122 8667833328 8762953584 8799164136 8895725608 9218171952 9357841224 9503284824 9858322782 10007691309 10370443446 10484248038 10527571377 10594018512 10754533944 10917481428 11087165628 11266654608 11437361496 11918270826 12095089776 12098850687 12231622711 12674986434 12867031683 13144430376 13198746204 13343588412 13620880944 13827257928 13978997384 14036761836 14556641904 14782887504 14787484173 15726372057 15891027768 16131800916 16376222142 16630748442 16899981912 17156042244 17598328272 17791451216 18715682448 19006569648 19012479651 19716645564 20015382618 20740886892 20968496076 21055142754 21509067888 21834962856 22174331256 22874722992 23836541652 24197701374 24463245422 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147385999278 152099837208 154404380196 160123060944 168441142032 177449810076 180138443562 188716464684 193581610992 195705963376 196514665704 205872506928 220169208798 221078998917 228149755812 231606570294 236599746768 240184591416 251621952912 252661713048 266174715114 270207665343 283074697026 290372416488 293558945064 294771998556 304199674416 308808760392 330253813197 347409855441 354899620152 360276887124 377432929368 393029331408 399262072671 424612045539 440338417596 442157997834 456299511624 463213140588 480369182832 505323426096 532349430228 540415330686 566149394052 580744832976 587117890128 589543997112 617617520784 660507626394 694819710882 709799240304 720553774248 754865858736 798524145342 810622996029 849224091078 880676835192 884315995668 912599023248 926426281176 990761439591 1064698860456 1080830661372 1132298788104 1179087994224 1273836136617 1321015252788 1389639421764 1441107548496 1597048290684 1621245992058 1698448182156 1761353670384 1768631991336 1852852562352 1981522879182 2129397720912 2161661322744 2264597576208 2431868988087 2547672273234 2642030505576 2779278843528 2972284318773 3194096581368 3242491984116 3396896364312 3537263982672 3821508409851 3963045758364 4323322645488 4863737976174 5095344546468 5284061011152 5558557687056 5944568637546 6388193162736 6484983968232 6793792728624 7643016819702 7926091516728 8916852956319 9727475952348 10190689092936 11889137275092 12969967936464 15286033639404 15852183033456 17833705912638 19454951904696 20381378185872 23778274550184 26750558868957 30572067278808 35667411825276 38909903809392 47556549100368 53501117737914 61144134557616 71334823650552 107002235475828 142669647301104 214004470951656 428008941903312
- Sum of all divisors σ(n): 1586507881163520
- Sum of proper divisors (its aliquot sum) s(n): 1158498939260208
- 428008941903312 is an abundant number, because the sum of its proper divisors (1158498939260208) is greater than itself. Its abundance is 730489997356896
Bases of 428008941903312
- Binary: 11000010101000101100110001111000101011101110100002
- Hexadecimal: 0x1854598F15DD0
- Base-36: 47PSLD5900
Squares and roots of 428008941903312
- 428008941903312 squared (4280089419033122) is 183191654349192706841156569344
- 428008941903312 cubed (4280089419033123) is 78407666143515234333484840862217327671267328
-
The
square root of 428008941903312 is 20688376.9760537765 -
The
cube root of 428008941903312 is 75361.7452532801
Scales and comparisons
How big is 428008941903312?- 428,008,941,903,312 seconds is equal to 13,609,360 years, 22 weeks, 3 days, 22 hours, 55 minutes, 12 seconds.
-
To count from 1 to 428,008,941,903,312 would take you about thirty-four million, twenty-three thousand, four hundred 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 428008941903312 cubic inches would be around 6280.1 feet tall.
Recreational maths with 428008941903312
- 428008941903312 backwards is 213309149800824
- 428008941903312 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428008941903312's digits is 54
- More coming soon!
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MLA style:
"Number 428008941903312 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 428008941903312 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/428008941903312/
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The information we have on file for 428008941903312 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 428008941903312, math, Factors of 428008941903312, curriculum, school, college, exams, university, Prime factorization of 428008941903312, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, eight billion, nine hundred forty-one million, nine hundred three thousand, three hundred twelve.