27428665917312
27,428,665,917,312 is an even composite number composed of six prime numbers multiplied together.
What does the number 27428665917312 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
27428665917312 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 27428665917312:
27 × 38 × 11 × 19 × 31 × 712
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 19 × 31 × 71 × 71)See below for interesting mathematical facts about the number 27428665917312 from the Numbermatics database.
Names of 27428665917312
- Cardinal: 27428665917312 can be written as Twenty-seven trillion, four hundred twenty-eight billion, six hundred sixty-five million, nine hundred seventeen thousand, three hundred twelve.
Scientific notation
- Scientific notation: 2.7428665917312 × 1013
Factors of 27428665917312
Divisors of 27428665917312
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 31 32 33 36 38 44 48 54 57 62 64 66 71 72 76 81 88 93 96 99 108 114 124 128 132 142 144 152 162 171 176 186 192 198 209 213 216 228 243 248 264 279 284 288 297 304 324 341 342 352 372 384 396 418 426 432 456 486 496 513 528 558 568 576 589 594 608 627 639 648 682 684 704 729 744 781 792 836 837 852 864 891 912 972 992 1023 1026 1056 1116 1136 1152 1178 1188 1216 1254 1278 1296 1349 1364 1368 1408 1458 1488 1539 1562 1584 1672 1674 1704 1728 1767 1782 1824 1881 1917 1944 1984 2046 2052 2112 2187 2201 2232 2272 2343 2356 2376 2432 2508 2511 2556 2592 2673 2698 2728 2736 2916 2976 3069 3078 3124 3168 3344 3348 3408 3456 3534 3564 3648 3762 3834 3888 3968 4047 4092 4104 4224 4374 4402 4464 4544 4617 4686 4712 4752 5016 5022 5041 5112 5184 5301 5346 5396 5456 5472 5643 5751 5832 5952 6138 6156 6248 6336 6479 6561 6603 6688 6696 6816 7029 7068 7128 7296 7524 7533 7668 7776 8019 8094 8184 8208 8748 8804 8928 9088 9207 9234 9372 9424 9504 10032 10044 10082 10224 10368 10602 10692 10792 10912 10944 11286 11502 11664 11904 12141 12276 12312 12496 12672 12958 13122 13206 13376 13392 13632 13851 14058 14136 14256 14839 15048 15066 15123 15336 15552 15903 16038 16188 16368 16416 16929 17253 17496 17608 17856 18414 18468 18744 18848 19008 19437 19809 20064 20088 20164 20448 21087 21204 21384 21584 21824 21888 22572 22599 23004 23328 24057 24211 24282 24552 24624 24992 25916 26244 26412 26752 26784 27264 27621 27702 28116 28272 28512 29678 30096 30132 30246 30672 31104 31806 32076 32376 32736 32832 33858 34506 34992 35216 35712 36423 36828 36936 37488 37696 38016 38874 39618 40128 40176 40328 40896 41553 41819 42174 42408 42768 43168 43648 44517 45144 45198 45369 46008 46656 47709 48114 48422 48564 49104 49248 49984 50787 51759 51832 52488 52824 53568 55242 55404 55451 56232 56544 57024 58311 59356 59427 60192 60264 60492 61344 63261 63612 64152 64752 65472 65664 67716 67797 69012 69984 70432 72171 72633 72846 73656 73872 74976 75392 77748 79236 80256 80352 80656 81792 82863 83106 83638 84348 84816 85536 86336 89034 90288 90396 90738 92016 93312 95418 95779 96228 96844 97128 98208 98496 99968 101574 103518 103664 104976 105648 107136 109269 110484 110808 110902 112464 113088 114048 116622 118712 118854 120384 120528 120984 122688 124659 125457 126522 127224 128304 129504 130944 133551 135432 135594 136107 138024 139968 140864 143127 144342 145266 145692 147312 147744 149952 152361 155277 155496 156271 158472 160704 161312 165726 166212 166353 167276 168696 169632 171072 172672 174933 178068 178281 180576 180792 181476 184032 189783 190836 191558 192456 193688 194256 196416 196992 203148 203391 207036 207328 209952 211296 217899 218538 220968 221616 221804 224928 226176 233244 237424 237708 240768 241056 241968 245376 248589 249318 250914 253044 254448 256608 259008 267102 270864 271188 272214 276048 279936 281728 286254 287337 288684 290532 291384 294624 295488 299904 304722 310554 310992 312542 316944 321408 322624 327807 331452 332424 332706 334552 337392 339264 342144 349866 356136 356562 361152 361584 362952 368064 376371 379566 381672 383116 384912 387376 388512 392832 400653 406296 406782 408321 414072 414656 419904 422592 429381 435798 437076 441936 443232 443608 449856 457083 460009 465831 466488 468813 474848 475416 482112 483936 497178 498636 499059 501828 506088 508896 513216 518016 524799 534204 534843 541728 542376 544428 552096 569349 572508 574674 577368 581064 582768 589248 590976 609444 621108 621984 625084 633888 645248 653697 655614 662904 664848 665412 669104 674784 678528 699732 712272 713124 722304 723168 725904 736128 745767 752742 759132 763344 766232 769824 774752 777024 801306 812592 813564 816642 828144 829312 839808 845184 858762 862011 871596 874152 883872 886464 887216 899712 914166 920018 931662 932976 937626 949696 950832 964224 967872 983421 994356 997272 998118 1003656 1012176 1017792 1026432 1049598 1053569 1068408 1069686 1083456 1084752 1088856 1104192 1129113 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5468234832 5772025656 5821024176 5853321792 5940798336 6036238098 6144414408 6230955456 6270842688 6493528863 6683398128 6702997536 6777530496 6912466209 7054698024 7154059968 7290979776 7518822894 7696034208 7761365568 7936535277 8048317464 8192552544 8202352248 8658038484 8779982688 8911197504 8937330048 9216621612 9406264032 10025097192 10054496304 10166295744 10261378944 10582047036 10731089952 10923403392 10936469664 11278234341 11544051312 11642048352 11706643584 12072476196 12288828816 12461910912 12541685376 12987057726 13366796256 13405995072 13824932418 14109396048 14308119936 14581959552 15037645788 15392068416 15522731136 15873070554 16096634928 16385105088 16404704496 17316076968 17559965376 17822395008 18433243224 18812528064 19480586589 20050194384 20108992608 20332591488 21164094072 21462179904 21872939328 22556468682 23088102624 23284096704 23809605831 24144952392 24577657632 25974115452 26733592512 26811990144 27649864836 28218792096 30075291576 30784136832 31746141108 32193269856 32770210176 32809408992 34632153936 35119930752 36866486448 37625056128 38961173178 40100388768 40217985216 42328188144 42924359808 43745878656 45112937364 46176205248 46568193408 47619211662 48289904784 49155315264 51948230904 53467185024 55299729672 56437584192 60150583152 63492282216 64386539712 65618817984 69264307872 71428817493 73732972896 77922346356 80200777536 80435970432 84656376288 90225874728 92352410496 95238423324 96579809568 98310630528 103896461808 110599459344 112875168384 120301166304 126984564432 128773079424 131237635968 138528615744 142857634986 147465945792 155844692712 160401555072 169312752576 180451749456 190476846648 193159619136 207792923616 214286452479 221198918688 240602332608 253969128864 277057231488 285715269972 294931891584 311689385424 338625505152 360903498912 380953693296 386319238272 415585847232 428572904958 442397837376 481204665216 507938257728 571430539944 623378770848 721806997824 761907386592 831171694464 857145809916 884795674752 1015876515456 1142861079888 1246757541696 1443613995648 1523814773184 1714291619832 2285722159776 2493515083392 3047629546368 3428583239664 4571444319552 6857166479328 9142888639104 13714332958656 27428665917312
- Sum of all divisors σ(n): 98540877427200
- Sum of proper divisors (its aliquot sum) s(n): 71112211509888
- 27428665917312 is an abundant number, because the sum of its proper divisors (71112211509888) is greater than itself. Its abundance is 43683545592576
Bases of 27428665917312
- Binary: 1100011110010001110111110001101111111100000002
- Hexadecimal: 0x18F23BE37F80
- Base-36: 9Q0JZI000
Squares and roots of 27428665917312
- 27428665917312 squared (274286659173122) is 752331714003512938421305344
- 27428665917312 cubed (274286659173123) is 20635455242401074447114073712410207715328
-
The
square root of 27428665917312 is 5237238.3865270063 -
The
cube root of 27428665917312 is 30157.9322754603
Scales and comparisons
How big is 27428665917312?- 27,428,665,917,312 seconds is equal to 872,146 years, 38 weeks, 1 day, 1 hour, 55 minutes, 12 seconds.
-
To count from 1 to 27,428,665,917,312 would take you about two million, one hundred eighty thousand, three hundred sixty-six 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 27428665917312 cubic inches would be around 2513.2 feet tall.
Recreational maths with 27428665917312
- 27428665917312 backwards is 21371956682472
- The number of decimal digits it has is: 14
- The sum of 27428665917312's digits is 63
- More coming soon!
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"Number 27428665917312 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 27428665917312 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/27428665917312/
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Numbermatics. 2024. "Number 27428665917312 - Facts about the integer". https://numbermatics.com/n/27428665917312/
The information we have on file for 27428665917312 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 27428665917312, math, Factors of 27428665917312, curriculum, school, college, exams, university, Prime factorization of 27428665917312, STEM, science, technology, engineering, physics, economics, calculator, twenty-seven trillion, four hundred twenty-eight billion, six hundred sixty-five million, nine hundred seventeen thousand, three hundred twelve.