48993817137408
48,993,817,137,408 is an even composite number composed of six prime numbers multiplied together.
What does the number 48993817137408 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
48993817137408 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 48993817137408:
28 × 35 × 113 × 13 × 23 × 1979
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 23 × 1979)See below for interesting mathematical facts about the number 48993817137408 from the Numbermatics database.
Names of 48993817137408
- Cardinal: 48993817137408 can be written as Forty-eight trillion, nine hundred ninety-three billion, eight hundred seventeen million, one hundred thirty-seven thousand, four hundred eight.
Scientific notation
- Scientific notation: 4.8993817137408 × 1013
Factors of 48993817137408
Divisors of 48993817137408
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 32 33 36 39 44 46 48 52 54 64 66 69 72 78 81 88 92 96 99 104 108 117 121 128 132 138 143 144 156 162 176 184 192 198 207 208 216 234 242 243 253 256 264 276 286 288 297 299 312 324 351 352 363 368 384 396 414 416 429 432 468 484 486 506 528 552 572 576 594 598 621 624 648 702 704 726 736 759 768 792 828 832 858 864 891 897 936 968 972 1012 1053 1056 1089 1104 1144 1152 1188 1196 1242 1248 1287 1296 1331 1404 1408 1452 1472 1518 1573 1584 1656 1664 1716 1728 1782 1794 1863 1872 1936 1944 1979 2024 2106 2112 2178 2208 2277 2288 2304 2376 2392 2484 2496 2574 2592 2662 2673 2691 2783 2808 2816 2904 2944 3036 3146 3159 3168 3267 3289 3312 3328 3432 3456 3564 3588 3726 3744 3861 3872 3888 3958 3993 4048 4212 4224 4356 4416 4554 4576 4719 4752 4784 4968 4992 5148 5184 5324 5346 5382 5566 5589 5616 5808 5888 5937 6072 6292 6318 6336 6534 6578 6624 6831 6864 6912 7128 7176 7452 7488 7722 7744 7776 7916 7986 8073 8096 8349 8424 8448 8712 8832 9108 9152 9438 9504 9568 9801 9867 9936 9984 10296 10368 10648 10692 10764 11132 11178 11232 11583 11616 11874 11979 12144 12584 12636 12672 13068 13156 13248 13662 13728 14157 14256 14352 14904 14976 15444 15488 15552 15832 15972 16146 16192 16698 16848 17303 17424 17664 17811 18216 18304 18876 19008 19136 19602 19734 19872 20493 20592 20736 21296 21384 21528 21769 22264 22356 22464 23166 23232 23748 23958 24219 24288 25047 25168 25272 25344 25727 26136 26312 26496 27324 27456 28314 28512 28704 29403 29601 29808 29952 30613 30888 30976 31104 31664 31944 32292 32384 33396 33696 34606 34749 34848 35622 35937 36179 36432 36608 37752 38016 38272 39204 39468 39744 40986 41184 42471 42592 42768 43056 43538 44528 44712 44928 45517 46332 46464 47496 47916 48438 48576 50094 50336 50544 51454 51909 52272 52624 52992 53433 54648 54912 56628 57024 57408 58806 59202 59616 61226 61479 61776 62208 63328 63888 64584 64768 65307 66792 67392 69212 69498 69696 71244 71874 72358 72657 72864 75141 75504 76032 76544 77181 78408 78936 79488 81972 82368 84942 85184 85536 86112 87076 88803 89056 89424 89856 91034 91839 92664 92928 94992 95832 96876 97152 100188 100672 101088 102908 103818 104544 105248 106866 107811 108537 109296 109824 113256 114048 114816 117612 118404 119232 122452 122958 123552 126656 127413 127776 129168 130614 133584 134784 136551 138424 138996 139392 142488 143748 144716 145314 145728 150282 151008 154362 155727 156816 157872 158976 160299 163944 164736 169884 170368 171072 172224 174152 177606 178112 178848 182068 183678 185328 189984 191664 193752 194304 195921 200376 201344 202176 205816 207636 209088 210496 213732 215622 217074 218592 225423 226512 228096 229632 231543 235224 236808 238464 239459 244904 245916 247104 253312 254826 255552 258336 261228 266409 267168 269568 273102 275517 276848 277992 278784 282997 284976 287496 289432 290628 291456 300564 302016 308724 311454 313632 315744 320598 323433 325611 327888 329472 339768 340736 342144 344448 348304 355212 356224 357696 364136 367356 370656 379968 382239 383328 387504 391842 397969 400752 402688 404352 409653 411632 415272 418176 420992 427464 431244 434148 437184 450846 453024 463086 467181 470448 473616 476928 478918 480897 489808 491832 494208 500687 506624 509652 511104 516672 522456 532818 534336 546204 551034 553696 555984 565994 569952 574992 578864 581256 582912 587763 591721 601128 604032 617448 622908 627264 631488 641196 646866 651222 655776 676269 679536 684288 688896 694629 696608 710424 712448 715392 718377 728272 734712 741312 759936 764478 766656 775008 783684 795938 799227 801504 808704 819306 823264 826551 830544 836352 841984 848991 854928 862488 868296 874368 901692 906048 926172 934362 940896 947232 957836 961794 976833 979616 983664 988416 1001374 1019304 1022208 1033344 1044912 1065636 1068672 1092408 1102068 1107392 1111968 1131988 1139904 1149984 1157728 1162512 1175526 1183442 1193907 1202256 1208064 1228959 1234896 1245816 1254528 1262976 1282392 1293732 1302444 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269096256 273941096 275073084 275856768 281327904 284477292 286392964 287576406 288395712 297408078 298844832 305640192 308183733 310338864 312428688 314613504 317395584 324445176 326012544 336200436 337158272 338551488 340831296 343845216 351482274 352483648 353940192 358795008 363498762 366764112 375103872 379303056 383435208 384527616 386825868 396544104 398459776 400106304 410911644 413785152 416571584 426715938 429589446 432593568 446112117 448267248 451401984 454441728 458460288 465508296 468643032 471920256 476093376 484665016 486667764 489018816 504300654 505737408 511246944 515767824 527223411 528725472 533475072 538192512 545248143 547882192 550146168 551713536 562655808 568954584 572785928 575152812 576791424 594816156 597689664 616367466 620677728 624857376 634791168 640073907 644384169 648890352 652025088 672400872 674316544 677102976 681662592 687690432 702964548 704967296 707880384 726997524 733528224 750207744 756450981 758606112 766870416 773651736 787580651 793088208 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44378457552 44989731072 46395660168 46527841536 48412862784 50405161664 50613447456 52343821728 54619640064 54987449088 56705806872 57102350976 58886799444 59171276736 61860880224 63794032731 64550483712 66567686328 67484596608 69593490252 69791762304 75607742496 78515732592 78895035648 81929460096 82481173632 85058710308 85653526464 88756915104 92791320336 96825725568 100810323328 101226894912 104687643456 113411613744 114204701952 117773598888 118342553472 123721760448 127588065462 133135372656 134969193216 139186980504 139583524608 151215484992 157031465184 163858920192 164962347264 170117420616 171307052928 177513830208 185582640672 191382098193 193651451136 201620646656 202453789824 209375286912 226823227488 235547197776 236685106944 247443520896 255176130924 266270745312 278373961008 302430969984 314062930368 340234841232 342614105856 355027660416 371165281344 382764196386 404907579648 418750573824 453646454976 471094395552 494887041792 510352261848 532541490624 556747922016 604861939968 628125860736 680469682464 710055320832 742330562688 765528392772 907292909952 942188791104 1020704523696 1065082981248 1113495844032 1256251721472 1360939364928 1484661125376 1531056785544 1814585819904 1884377582208 2041409047392 2130165962496 2226991688064 2721878729856 3062113571088 3768755164416 4082818094784 4453983376128 5443757459712 6124227142176 8165636189568 12248454284352 16331272379136 24496908568704 48993817137408
- Sum of all divisors σ(n): 181162300999680
- Sum of proper divisors (its aliquot sum) s(n): 132168483862272
- 48993817137408 is an abundant number, because the sum of its proper divisors (132168483862272) is greater than itself. Its abundance is 83174666724864
Bases of 48993817137408
- Binary: 10110010001111010000110001000100010001000000002
- Hexadecimal: 0x2C8F43111100
- Base-36: HD7G5QO00
Squares and roots of 48993817137408
- 48993817137408 squared (489938171374082) is 2400394117693773831552958464
- 48993817137408 cubed (489938171374083) is 117604470459998572066560547439846004621312
-
The
square root of 48993817137408 is 6999558.3530254249 -
The
cube root of 48993817137408 is 36591.5179209055
Scales and comparisons
How big is 48993817137408?- 48,993,817,137,408 seconds is equal to 1,557,851 years, 43 weeks, 3 days, 17 hours, 16 minutes, 48 seconds.
-
To count from 1 to 48,993,817,137,408 would take you about three million, eight hundred ninety-four thousand, six hundred twenty-nine 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 48993817137408 cubic inches would be around 3049.3 feet tall.
Recreational maths with 48993817137408
- 48993817137408 backwards is 80473171839984
- 48993817137408 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48993817137408's digits is 72
- More coming soon!
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"Number 48993817137408 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 48993817137408 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/48993817137408/
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The information we have on file for 48993817137408 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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