107216340964992
107,216,340,964,992 is an even composite number composed of six prime numbers multiplied together.
107216340964992 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 107216340964992:
27 × 37 × 7 × 17 × 31 × 473
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 17 × 31 × 47 × 47 × 47)See below for interesting mathematical facts about the number 107216340964992 from the Numbermatics database.
Names of 107216340964992
- Cardinal: 107216340964992 can be written as One hundred seven trillion, two hundred sixteen billion, three hundred forty million, nine hundred sixty-four thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.07216340964992 × 1014
Factors of 107216340964992
Divisors of 107216340964992
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 31 32 34 36 42 47 48 51 54 56 62 63 64 68 72 81 84 93 94 96 102 108 112 119 124 126 128 136 141 144 153 162 168 186 188 189 192 204 216 217 224 238 243 248 252 272 279 282 288 306 324 329 336 357 372 376 378 384 408 423 432 434 448 459 476 486 496 504 527 544 558 564 567 576 612 648 651 658 672 714 729 744 752 756 799 816 837 846 864 868 896 918 952 972 987 992 1008 1054 1071 1088 1116 1128 1134 1152 1224 1269 1296 1302 1316 1344 1377 1428 1457 1458 1488 1504 1512 1581 1598 1632 1674 1692 1701 1728 1736 1836 1904 1944 1953 1974 1984 2016 2108 2142 2176 2187 2209 2232 2256 2268 2397 2448 2511 2538 2592 2604 2632 2688 2754 2856 2914 2916 2961 2976 3008 3024 3162 3196 3213 3264 3348 3384 3402 3456 3472 3672 3689 3807 3808 3888 3906 3948 3968 4032 4131 4216 4284 4371 4374 4418 4464 4512 4536 4743 4794 4896 5022 5076 5103 5184 5208 5264 5508 5593 5712 5828 5832 5859 5922 5952 6016 6048 6324 6392 6426 6528 6627 6696 6768 6804 6944 7191 7344 7378 7533 7614 7616 7776 7812 7896 8064 8262 8432 8568 8742 8748 8836 8883 8928 9024 9072 9486 9588 9639 9792 10044 10152 10199 10206 10368 10416 10528 11016 11067 11186 11421 11424 11656 11664 11718 11844 11904 12096 12393 12648 12784 12852 13113 13254 13392 13536 13608 13888 14229 14382 14688 14756 15066 15228 15232 15309 15463 15552 15624 15792 16524 16779 16864 17136 17484 17496 17577 17672 17766 17856 18048 18144 18972 19176 19278 19584 19881 20088 20304 20398 20412 20832 21056 21573 22032 22134 22372 22599 22842 22848 23312 23328 23436 23688 24192 24769 24786 25296 25568 25704 26226 26508 26649 26784 27072 27216 27776 28458 28764 28917 29376 29512 30132 30456 30597 30618 30926 31104 31248 31584 33048 33201 33558 33728 34263 34272 34968 34992 35154 35344 35532 35712 36288 37179 37553 37944 38352 38556 39339 39762 40176 40608 40796 40824 41664 42112 42687 43146 44064 44268 44744 45198 45684 45696 46389 46624 46656 46872 47376 49538 49572 50337 50592 51136 51408 52452 52731 53016 53298 53568 54144 54432 56916 57528 57834 58752 59024 59643 60264 60912 61194 61236 61852 62496 63168 64719 66096 66402 67116 67456 67797 68479 68526 68544 69936 69984 70308 70688 71064 72576 74307 74358 75106 75888 76704 77112 78678 79524 79947 80352 81216 81592 81648 83328 85374 86292 86751 88128 88536 89488 90396 91368 91791 92778 93248 93312 93744 94752 99076 99144 99603 100674 101184 102272 102789 102816 103823 104904 105462 106032 106596 107136 108864 112659 113832 115056 115668 118017 118048 119286 120528 121824 122388 122472 123704 124992 126336 128061 129438 132192 132804 134232 135594 136958 137052 137088 139167 139872 139968 140616 141376 142128 148614 148716 150212 151011 151776 153408 154224 157356 158193 159048 159894 160704 162432 163184 163296 170748 172584 173383 173502 176256 177072 178929 178976 180792 182736 183582 185556 186496 187488 189504 194157 198152 198288 199206 201348 202368 205437 205578 205632 207646 209808 210924 212064 213192 217728 222921 225318 227664 230112 231336 236034 236096 238572 239841 241056 243648 244776 244944 247408 249984 256122 258876 260253 262871 264384 265608 268464 271188 273916 274104 275373 278334 279744 279936 281232 282752 284256 297228 297432 298809 300424 302022 303552 306816 308448 311469 314712 316386 318096 319788 321408 326368 326592 337977 341496 345168 346766 347004 354051 354144 357858 357952 361584 365472 367164 371112 374976 379008 384183 388314 396304 396576 398412 402696 410874 411156 411264 415292 417501 419616 421848 424128 426384 445842 450636 453033 455328 460224 462672 472068 472192 474579 477144 479353 479682 482112 487296 489552 489888 494816 512244 517752 520149 520506 525742 528768 531216 536787 536928 542376 547832 548208 550746 556668 559488 562464 568512 582471 594456 594864 597618 600848 604044 607104 616311 616896 622938 629424 632772 636192 639576 652736 653184 668763 675954 682992 690336 693532 694008 708102 708288 715716 715904 719523 723168 726761 730944 734328 742224 749952 768366 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1149009141 1149797754 1155622464 1168048512 1173456144 1186073952 1198108584 1210991472 1216597914 1235908992 1242482976 1255843008 1286678439 1313153304 1314054576 1320138162 1334333196 1341092736 1348226208 1362723264 1390397616 1397793348 1412823384 1427533632 1441893824 1442883456 1477297467 1508729328 1516754484 1524952224 1532012188 1533063672 1564197318 1564608192 1565682048 1581431936 1589426307 1597478112 1614655296 1622130552 1656643968 1697320494 1715571252 1733433696 1750871072 1752072768 1760184216 1779110928 1797634944 1816487208 1824896871 1853863488 1863724464 1883764512 1969729956 1980207243 2001499794 2011639104 2022339312 2033269632 2044084896 2085596424 2096690022 2119235076 2129970816 2162840736 2164325184 2263093992 2287428336 2298018282 2299595508 2311244928 2346295977 2346912288 2372147904 2396217168 2421982944 2433195828 2484965952 2511686016 2545980741 2573356878 2626306608 2628109152 2640276324 2668666392 2696452416 2725446528 2780795232 2795586696 2825646768 2855067264 2883787648 2954594934 3002249691 3017458656 3033508968 3049904448 3064024376 3066127344 3128394636 3129216384 3178852614 3194956224 3229310592 3244261104 3394640988 3431142504 3447027423 3466867392 3501742144 3504145536 3520368432 3558221856 3632974416 3649793742 3707726976 3727448928 3767529024 3860035317 3939459912 3960414486 4002999588 4023278208 4044678624 4088169792 4171192848 4193380044 4238470152 4325681472 4328650368 4431892401 4526187984 4574856672 4596036564 4599191016 4692591954 4693824576 4744295808 4792434336 4843965888 4866391656 4969931904 5091961482 5146713756 5252613216 5256218304 5280552648 5337332784 5392904832 5474690613 5561590464 5591173392 5651293536 5909189868 5940621729 6004499382 6034917312 6067017936 6099808896 6128048752 6132254688 6256789272 6357705228 6389912448 6488522208 6789281976 6862285008 6894054846 6933734784 7003484288 7038887931 7040736864 7116443712 7265948832 7299587484 7454897856 7535058048 7720070634 7878919824 7920828972 8005999176 8089357248 8176339584 8342385696 8386760088 8476940304 8651362944 8863784802 9006749073 9052375968 9149713344 9192073128 9198382032 9385183908 9387649152 9584868672 9687931776 9732783312 10183922964 10293427512 10341082269 10505226432 10512436608 10561105296 10674665568 10949381226 11123180928 11182346784 11302587072 11818379736 11881243458 12008998764 12069834624 12134035872 12256097504 12264509376 12513578544 12715410456 12977044416 13295677203 13578563952 13724570016 13788109692 14077775862 14081473728 14232887424 14531897664 14599174968 14909795712 15440141268 15757839648 15841657944 16011998352 16178714496 16424071839 16684771392 16773520176 16953880608 17727569604 17821865187 18013498146 18104751936 18299426688 18384146256 18396764064 18770367816 19169737344 19465566624 20367845928 20586855024 20682164538 21010452864 21122210592 21349331136 21898762452 22364693568 22605174144 23636759472 23762486916 24017997528 24268071744 24512195008 24529018752 25027157088 25430820912 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112622206896 116793399744 119661094827 123521130144 124092987228 126733263552 128095986816 131392574712 134188161408 141820556832 142574921496 144107985168 147073170048 150162942528 159548126436 162942767424 164694840192 165457316304 175190099616 186139480842 189094075776 190099895328 192143980224 197088862068 203446567296 212730835248 216161977752 220609755072 225244413792 233586799488 239322189654 247042260288 248185974456 253466527104 262785149424 279209221263 283641113664 285149842992 288215970336 300325885056 319096252872 325885534848 330914632608 350380199232 372278961684 380199790656 384287960448 394177724136 425461670496 432323955504 441219510144 450488827584 478644379308 494084520576 496371948912 525570298848 558418442526 567282227328 570299685984 576431940672 638192505744 661829265216 700760398464 744557923368 760399581312 788355448272 837627663789 850923340992 864647911008 900977655168 957288758616 992743897824 1051140597696 1116836885052 1140599371968 1152863881344 1276385011488 1323658530432 1489115846736 1576710896544 1675255327578 1701846681984 1729295822016 1914577517232 1985487795648 2102281195392 2233673770104 2281198743936 2552770022976 2978231693472 3153421793088 3350510655156 3458591644032 3829155034464 3970975591296 4467347540208 5105540045952 5956463386944 6306843586176 6701021310312 7658310068928 8934695080416 11912926773888 13402042620624 15316620137856 17869390160832 26804085241248 35738780321664 53608170482496 107216340964992
- Sum of all divisors σ(n): 408846237696000
- Sum of proper divisors (its aliquot sum) s(n): 301629896731008
- 107216340964992 is an abundant number, because the sum of its proper divisors (301629896731008) is greater than itself. Its abundance is 194413555766016
Bases of 107216340964992
- Binary: 110000110000011001111111110101011010110100000002
- Hexadecimal: 0x61833FEAD680
- Base-36: 1206I96000
Squares and roots of 107216340964992
- 107216340964992 squared (1072163409649922) is 11495343769921421669769560064
- 107216340964992 cubed (1072163409649923) is 1232488697145691694253393413426513065279488
-
The
square root of 107216340964992 is 10354532.3875582137 -
The
cube root of 107216340964992 is 47506.5683939749
Scales and comparisons
How big is 107216340964992?- 107,216,340,964,992 seconds is equal to 3,409,148 years, 6 hours, 43 minutes, 12 seconds.
-
To count from 1 to 107,216,340,964,992 would take you about eight million, five hundred twenty-two thousand, eight hundred seventy 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 107216340964992 cubic inches would be around 3958.9 feet tall.
Recreational maths with 107216340964992
- 107216340964992 backwards is 299469043612701
- 107216340964992 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107216340964992's digits is 63
- More coming soon!
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MLA style:
"Number 107216340964992 - Facts about the integer". Numbermatics.com. 2024. Web. 27 May 2024.
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Numbermatics. (2024). Number 107216340964992 - Facts about the integer. Retrieved 27 May 2024, from https://numbermatics.com/n/107216340964992/
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Numbermatics. 2024. "Number 107216340964992 - Facts about the integer". https://numbermatics.com/n/107216340964992/
The information we have on file for 107216340964992 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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