21948970398816384
21,948,970,398,816,384 is an even composite number composed of five prime numbers multiplied together.
21948970398816384 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 21948970398816384:
27 × 37 × 74 × 11 × 17232
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 11 × 1723 × 1723)See below for interesting mathematical facts about the number 21948970398816384 from the Numbermatics database.
Names of 21948970398816384
- Cardinal: 21948970398816384 can be written as Twenty-one quadrillion, nine hundred forty-eight trillion, nine hundred seventy billion, three hundred ninety-eight million, eight hundred sixteen thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 2.1948970398816384 × 1016
Factors of 21948970398816384
Divisors of 21948970398816384
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 64 66 72 77 81 84 88 96 98 99 108 112 126 128 132 144 147 154 162 168 176 189 192 196 198 216 224 231 243 252 264 288 294 297 308 324 336 343 352 378 384 392 396 432 441 448 462 486 504 528 539 567 576 588 594 616 648 672 686 693 704 729 756 784 792 864 882 891 896 924 972 1008 1029 1056 1078 1134 1152 1176 1188 1232 1296 1323 1344 1372 1386 1408 1458 1512 1568 1584 1617 1701 1723 1728 1764 1782 1848 1944 2016 2058 2079 2112 2156 2187 2268 2352 2376 2401 2464 2592 2646 2673 2688 2744 2772 2916 3024 3087 3136 3168 3234 3402 3446 3456 3528 3564 3696 3773 3888 3969 4032 4116 4158 4224 4312 4374 4536 4704 4752 4802 4851 4928 5103 5169 5184 5292 5346 5488 5544 5832 6048 6174 6237 6272 6336 6468 6804 6892 7056 7128 7203 7392 7546 7776 7938 8019 8064 8232 8316 8624 8748 9072 9261 9408 9504 9604 9702 9856 10206 10338 10368 10584 10692 10976 11088 11319 11664 11907 12061 12096 12348 12474 12672 12936 13608 13784 14112 14256 14406 14553 14784 15092 15309 15507 15552 15876 16038 16464 16632 17248 17496 18144 18522 18711 18816 18953 19008 19208 19404 20412 20676 21168 21384 21609 21952 22176 22638 23328 23814 24057 24122 24192 24696 24948 25872 26411 27216 27568 27783 28224 28512 28812 29106 29568 30184 30618 31014 31104 31752 32076 32928 33264 33957 34496 34992 35721 36183 36288 37044 37422 37906 38016 38416 38808 40824 41352 42336 42768 43218 43659 43904 44352 45276 46521 46656 47628 48114 48244 49392 49896 51744 52822 54432 55136 55566 56133 56448 56859 57024 57624 58212 60368 61236 62028 63504 64152 64827 65856 66528 67914 68992 69984 71442 72366 72576 74088 74844 75812 76832 77616 79233 81648 82704 83349 84427 84672 85536 86436 87318 88704 90552 93042 93312 95256 96228 96488 98784 99792 101871 103488 105644 107163 108549 108864 110272 111132 112266 113718 114048 115248 116424 120736 122472 124056 127008 128304 129654 130977 131712 132671 133056 135828 139563 139968 142884 144732 148176 149688 151624 153664 155232 158466 163296 165408 166698 168399 168854 169344 170577 171072 172872 174636 181104 186084 190512 192456 192976 194481 197568 199584 203742 206976 211288 214326 217098 217728 220544 222264 224532 227436 230496 232848 237699 241472 244944 248112 250047 253281 254016 256608 259308 261954 265342 266112 271656 279126 279936 285768 289464 296352 299376 303248 305613 307328 310464 316932 325647 326592 330816 333396 336798 337708 341154 342144 345744 349272 362208 372168 381024 384912 385952 388962 392931 395136 398013 399168 407484 418689 422576 428652 434196 444528 449064 454872 460992 465696 475398 482944 489888 496224 500094 506562 508032 511731 513216 518616 523908 530684 543312 558252 571536 578928 583443 590989 592704 598752 606496 611226 620928 633864 651294 653184 661632 666792 673596 675416 682308 691488 698544 713097 724416 744336 750141 759843 762048 769824 771904 777924 785862 796026 798336 814968 837378 845152 857304 868392 889056 898128 909744 916839 921984 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1166505654699 1173051702144 1185021617472 1209709567836 1254513625904 1272551623308 1319683164912 1333149319656 1368560319168 1382525220384 1411327829142 1415423382912 1433729858176 1454344712352 1484643560526 1508209331328 1523599222464 1539630359064 1555340872932 1592351305776 1612946090448 1696735497744 1732084153947 1759577553216 1777532426208 1814564351754 1819830063744 1843366960512 1881770438856 1939126283136 1979524747368 1999723979484 2052840478752 2073787830576 2116991743713 2123135074368 2150594787264 2226965340789 2262313996992 2285398833696 2309445538596 2333011309398 2370043234944 2419419135672 2509027251808 2545103246616 2639366329824 2666298639312 2721846527631 2737120638336 2765050440768 2822655658284 2908689424704 2969287121052 3047198444928 3079260718128 3110681745864 3184702611552 3225892180896 3393470995488 3464168307894 3499516964097 3519155106432 3555064852416 3629128703508 3763540877712 3959049494736 3999447958968 4105680957504 4147575661152 4233983487426 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20360825972928 20785009847364 21330389114496 21774772221048 22581245266272 23754296968416 24496618748679 24634085745024 24885453966912 25403900924556 27713346463152 27996135712776 29033029628064 30108327021696 31177514771046 31672395957888 31995583671744 32662158331572 33871867899408 35631445452624 36951128617536 37328180950368 38105851386834 38710706170752 40721651945856 41570019694728 43549544442096 45162490532544 47508593936832 48993237497358 49770907933824 50807801849112 55426692926304 55992271425552 57158777080251 58066059256128 62355029542092 63991167343488 65324316663144 67743735798816 71262890905248 73902257235072 74656361900736 76211702773668 83140039389456 87099088884192 90324981065088 95017187873664 97986474994716 101615603698224 110853385852608 111984542851104 114317554160502 116132118512256 124710059084184 130648633326288 135487471597632 142525781810496 149312723801472 152423405547336 166280078778912 171476331240753 174198177768384 195972949989432 203231207396448 221706771705216 223969085702208 228635108321004 249420118168368 261297266652576 270974943195264 285051563620992 304846811094672 332560157557824 342952662481506 348396355536768 391945899978864 406462414792896 447938171404416 457270216642008 498840236336736 522594533305152 609693622189344 665120315115648 685905324963012 783891799957728 812924829585792 914540433284016 997680472673472 1045189066610304 1219387244378688 1371810649926024 1567783599915456 1829080866568032 1995360945346944 2438774488757376 2743621299852048 3135567199830912 3658161733136064 5487242599704096 7316323466272128 10974485199408192 21948970398816384
- Sum of all divisors σ(n): 83508573319790400
- Sum of proper divisors (its aliquot sum) s(n): 61559602920974016
- 21948970398816384 is an abundant number, because the sum of its proper divisors (61559602920974016) is greater than itself. Its abundance is 39610632522157632
Bases of 21948970398816384
- Binary: 10011011111101001111000111001111100111010011000100000002
- Hexadecimal: 0x4DFA78E7CE9880
- Base-36: 6049DSTU000
Squares and roots of 21948970398816384
- 21948970398816384 squared (219489703988163842) is 481757301568117854903468146835456
- 21948970398816384 cubed (219489703988163843) is 10574076751532276730734867829284854060417604911104
-
The
square root of 21948970398816384 is 148151849.1238512487 -
The
cube root of 21948970398816384 is 279987.1184499731
Scales and comparisons
How big is 21948970398816384?- 21,948,970,398,816,384 seconds is equal to 697,909,366 years, 3 weeks, 13 hours, 26 minutes, 24 seconds.
-
To count from 1 to 21,948,970,398,816,384 would take you about two billion, ninety-three million, seven hundred twenty-eight thousand and ninety-eight 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 21948970398816384 cubic inches would be around 23332.3 feet tall.
Recreational maths with 21948970398816384
- 21948970398816384 backwards is 48361889307984912
- The number of decimal digits it has is: 17
- The sum of 21948970398816384's digits is 90
- More coming soon!
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The information we have on file for 21948970398816384 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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