34431319104
34,431,319,104 is an even composite number composed of seven prime numbers multiplied together.
34431319104 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 34431319104:
26 × 3 × 7 × 132 × 17 × 37 × 241
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 13 × 13 × 17 × 37 × 241)See below for interesting mathematical facts about the number 34431319104 from the Numbermatics database.
Names of 34431319104
- Cardinal: 34431319104 can be written as Thirty-four billion, four hundred thirty-one million, three hundred nineteen thousand, one hundred four.
Scientific notation
- Scientific notation: 3.4431319104 × 1010
Factors of 34431319104
Divisors of 34431319104
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 32 34 37 39 42 48 51 52 56 64 68 74 78 84 91 96 102 104 111 112 119 136 148 156 168 169 182 192 204 208 221 222 224 238 241 259 272 273 296 312 336 338 357 364 408 416 442 444 448 476 481 482 507 518 544 546 592 624 629 663 672 676 714 723 728 777 816 832 884 888 952 962 964 1014 1036 1088 1092 1183 1184 1248 1258 1326 1344 1352 1428 1443 1446 1456 1547 1554 1632 1687 1768 1776 1887 1904 1924 1928 2028 2072 2184 2366 2368 2496 2516 2652 2704 2856 2873 2886 2892 2912 3094 3108 3133 3264 3367 3374 3536 3549 3552 3774 3808 3848 3856 4056 4097 4144 4368 4403 4641 4732 5032 5061 5304 5408 5712 5746 5772 5784 5824 6188 6216 6253 6266 6734 6748 7072 7098 7104 7548 7616 7696 7712 8112 8177 8194 8288 8619 8736 8806 8917 9282 9399 9464 10064 10101 10122 10608 10816 11424 11492 11544 11568 12291 12376 12432 12506 12532 13209 13468 13496 14144 14196 15096 15392 15424 16224 16354 16388 16576 17238 17472 17612 17834 18564 18759 18798 18928 20111 20128 20202 20244 21216 21931 22848 22984 23088 23136 24531 24582 24752 24864 25012 25064 26418 26751 26936 26992 28392 28679 30192 30784 32448 32708 32776 34476 35224 35668 37128 37518 37596 37856 40222 40256 40404 40488 40729 42432 43771 43862 45968 46176 46272 49062 49164 49504 49728 50024 50128 52836 53261 53502 53872 53984 56784 57239 57358 60333 60384 62419 65416 65552 65793 68952 70448 71336 74256 75036 75192 75712 80444 80808 80976 81458 86037 87542 87724 91936 92352 98124 98328 99008 100048 100256 105672 106301 106522 107004 107744 107968 113568 114478 114716 115921 120666 120768 122187 124838 130832 131104 131313 131586 137904 140896 142672 148512 150072 150384 151589 159783 160888 161616 161952 162916 171717 172074 175084 175448 183872 187257 196248 196656 200096 200512 211344 212602 213044 214008 215488 227136 228956 229432 231842 241332 244374 249676 261664 262208 262626 263172 275808 281792 285103 285344 297024 300144 300768 303178 318903 319566 321776 323232 323904 325832 343434 344148 347763 350168 350896 372827 374514 392496 393312 400192 422688 425204 426088 428016 454767 457912 458864 463684 482664 488748 499352 523328 525252 526344 551616 570206 570688 600288 601536 606356 637806 639132 643552 646464 651664 686868 688296 692393 695526 700336 701792 744107 745654 749028 784992 786624 811447 845376 850408 852176 855309 856032 909534 915824 917728 927368 965328 977496 998704 1050504 1052688 1061123 1118481 1140412 1200576 1212712 1275612 1278264 1287104 1303328 1373736 1376592 1384786 1391052 1400672 1403584 1488214 1491308 1498056 1506973 1569984 1622894 1700816 1704352 1710618 1712064 1819068 1831648 1835456 1854736 1930656 1954992 1970657 1997408 2077179 2101008 2105376 2122246 2232321 2236962 2280824 2425424 2434341 2551224 2556528 2606656 2747472 2753184 2769572 2782104 2801344 2976428 2982616 2996112 3013946 3183369 3245788 3401632 3408704 3421236 3638136 3663296 3709472 3861312 3909984 3941314 3994816 4154358 4202016 4210752 4244492 4464642 4473924 4520919 4561648 4846751 4850848 4868682 5102448 5113056 5494944 5506368 5539144 5564208 5911971 5952856 5965232 5992224 6027892 6366738 6491576 6803264 6842472 7276272 7418944 7819968 7882628 8308716 8404032 8488984 8929284 8947848 9041838 9123296 9693502 9701696 9737364 10204896 10226112 10548811 10989888 11078288 11128416 11823942 11905712 11930464 11984448 12055784 12733476 12983152 13684944 13794599 14540253 14552544 15765256 16617432 16977968 17858568 17895696 18083676 18246592 19387004 19474728 20409792 21097622 22156576 22256832 23647884 23811424 23860928 24111568 25466952 25618541 25966304 27369888 27589198 29080506 29105088 31530512 31646433 33234864 33955936 35717136 35791392 36167352 38774008 38949456 41383797 42195244 44313152 47295768 47622848 48223136 50933904 51237082 51932608 54739776 55178396 58161012 63061024 63292866 66469728 67911872 71434272 71582784 72334704 76855623 77548016 77898912 82767594 84390488 94591536 96446272 101867808 102474164 110356792 116322024 126122048 126585732 132939456 142868544 144669408 153711246 155096032 155797824 165535188 168780976 179329787 189183072 203735616 204948328 220713584 232644048 253171464 289338816 307422492 310192064 331070376 337561952 358659574 378366144 409896656 441427168 465288096 506342928 537989361 614844984 662140752 675123904 717319148 819793312 882854336 930576192 1012685856 1075978722 1229689968 1324281504 1434638296 1639586624 2025371712 2151957444 2459379936 2648563008 2869276592 4303914888 4918759872 5738553184 8607829776 11477106368 17215659552 34431319104
- Sum of all divisors σ(n): 123105159936
- Sum of proper divisors (its aliquot sum) s(n): 88673840832
- 34431319104 is an abundant number, because the sum of its proper divisors (88673840832) is greater than itself. Its abundance is 54242521728
Bases of 34431319104
- Binary: 1000000001000100010000111100010000002
- Hexadecimal: 0x804443C40
- Base-36: FTFINUO
Squares and roots of 34431319104
- 34431319104 squared (344313191042) is 1185515735241475362816
- 34431319104 cubed (344313191043) is 40818870582912416712871872036864
-
The
square root of 34431319104 is 185556.7813473817 -
The
cube root of 34431319104 is 3253.2533608549
Scales and comparisons
How big is 34431319104?- 34,431,319,104 seconds is equal to 1,094 years, 42 weeks, 15 hours, 18 minutes, 24 seconds.
-
To count from 1 to 34,431,319,104 would take you about two thousand, one hundred eighty-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 34431319104 cubic inches would be around 271.1 feet tall.
Recreational maths with 34431319104
- 34431319104 backwards is 40191313443
- The number of decimal digits it has is: 11
- The sum of 34431319104's digits is 33
- More coming soon!
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The information we have on file for 34431319104 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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