48338426147928
48,338,426,147,928 is an even composite number composed of nine prime numbers multiplied together.
What does the number 48338426147928 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1024 divisors.
48338426147928 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 48338426147928:
23 × 3 × 7 × 31 × 37 × 41 × 53 × 67 × 1723
(2 × 2 × 2 × 3 × 7 × 31 × 37 × 41 × 53 × 67 × 1723)See below for interesting mathematical facts about the number 48338426147928 from the Numbermatics database.
Names of 48338426147928
- Cardinal: 48338426147928 can be written as Forty-eight trillion, three hundred thirty-eight billion, four hundred twenty-six million, one hundred forty-seven thousand, nine hundred twenty-eight.
Scientific notation
- Scientific notation: 4.8338426147928 × 1013
Factors of 48338426147928
Divisors of 48338426147928
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 21 24 28 31 37 41 42 53 56 62 67 74 82 84 93 106 111 123 124 134 148 159 164 168 186 201 212 217 222 246 248 259 268 287 296 318 328 371 372 402 424 434 444 469 492 518 536 574 636 651 742 744 777 804 861 868 888 938 984 1036 1113 1147 1148 1271 1272 1302 1407 1484 1517 1554 1608 1643 1722 1723 1736 1876 1961 2072 2077 2173 2226 2294 2296 2479 2542 2604 2747 2814 2968 3034 3108 3286 3441 3444 3446 3551 3752 3813 3922 4154 4346 4452 4551 4588 4929 4958 5084 5169 5208 5494 5628 5883 6068 6216 6231 6519 6572 6882 6888 6892 7102 7437 7626 7844 8029 8241 8308 8692 8897 8904 9102 9176 9858 9916 10168 10338 10619 10653 10988 11256 11501 11766 12061 12136 12462 13038 13144 13727 13764 13784 14204 14539 14874 15211 15252 15688 16058 16482 16616 17353 17384 17794 18204 19229 19716 19832 20676 21238 21306 21976 23002 23532 24087 24122 24857 24924 26076 26691 27454 27528 28408 29078 29748 30422 30504 31857 32116 32964 34503 34706 35588 36183 36408 38458 39432 41181 41352 42476 42612 43617 45633 46004 47027 47064 48174 48244 49714 49848 52059 52152 53382 53413 54908 57687 58156 59496 60791 60844 63714 63751 64232 65928 67363 69006 69412 70643 71176 72366 74571 76849 76916 80401 82362 84952 85157 85224 87234 91266 91319 92008 94054 96348 96488 99428 101639 104118 106764 106826 109816 110081 115374 115441 116312 121582 121688 127428 127502 131387 134726 138012 138824 141081 141286 144732 145591 149142 153698 153832 160239 160802 164724 170314 174468 182373 182532 182638 188108 191253 192696 198856 202089 203278 208236 211929 213528 213652 220162 230547 230748 230882 241203 243164 254856 255004 255471 262774 269452 273957 276024 282162 282572 289464 291182 298284 304917 307396 320478 321604 329189 329448 330243 340628 346323 348936 364746 365064 365276 373891 376216 382506 394161 404178 406556 416472 423858 425537 427304 436773 440324 446257 461094 461496 461764 471541 482406 486328 494501 510008 510942 525548 537943 538904 547914 562807 564324 565144 582364 596099 596568 609834 614792 639233 640956 643208 658378 660486 681256 692646 711473 729492 730552 747782 765012 770567 788322 808087 808356 813112 847716 851074 873546 880648 892514 919709 922188 923528 943082 964812 987567 989002 1019137 1021884 1051096 1075886 1095828 1121673 1125614 1128648 1164728 1192198 1219668 1276611 1278466 1281912 1316756 1320972 1338771 1385292 1414623 1422946 1458984 1483503 1495564 1530024 1541134 1576644 1613829 1616174 1616712 1688421 1695432 1702148 1747092 1785028 1788297 1839418 1844376 1886164 1917699 1929624 1975134 1976281 1978004 2038274 2043768 2134419 2151772 2189933 2191656 2243346 2251228 2311701 2384396 2424261 2439336 2492431 2553222 2556932 2613791 2633512 2641944 2677542 2759127 2770584 2829246 2830889 2845892 2967006 2991128 3057411 3082268 3150809 3153288 3227658 3232348 3376842 3378803 3404296 3494184 3570056 3576594 3578671 3678836 3744079 3772328 3835398 3950268 3952562 3956008 4072997 4076548 4268838 4271317 4303544 4379866 4486692 4502456 4513321 4623402 4733081 4768792 4848522 4984862 5106444 5113864 5227582 5355084 5386867 5518254 5658492 5661778 5691784 5928843 5934012 6114822 6118373 6164536 6301618 6455316 6464696 6569799 6753684 6757606 7153188 7157342 7357672 7477293 7488158 7670796 7841373 7900536 7905124 8145994 8153096 8492667 8537676 8542634 8759732 8973384 9026642 9246804 9452427 9466162 9697044 9969724 10136409 10212888 10455164 10710168 10736013 10773734 11036508 11232237 11316984 11323556 11857686 11868024 12218991 12229644 12236746 12603236 12813951 12910632 13139598 13507368 13515212 13539963 13833967 14199243 14306376 14314684 14954586 14976316 15329531 15341592 15682746 15810248 16160601 16291988 16985334 17075352 17085268 17447017 17519464 18053284 18296537 18355119 18493608 18904854 18932324 19394088 19816223 19939448 20272818 20910328 21472026 21547468 22055663 22073016 22464474 22647112 23651621 23715372 24437982 24459288 24473492 25050697 25206472 25627902 26208553 26279196 27030424 27079926 27667934 28398486 28510979 28629368 29899219 29909172 29952632 30659062 31365492 31593247 32321202 32583976 33131567 33970668 34170536 34894034 36106568 36593074 36710238 37708069 37809708 37864648 39632446 40545636 41501901 42828611 42944052 43094936 44111326 44928948 45988593 47303242 47430744 48875964 48946984 50101394 51255804 52341051 52417106 52558392 54159852 54889611 55335868 56796972 57021958 59448669 59798438 59818344 61318124 62730984 63186494 64642404 66166989 66263134 67941336 69788068 70954863 73186148 73420476 75152091 75416138 75619416 78625659 79264892 81027521 81091272 83003802 85532937 85657222 85888104 88222652 89697657 89857896 91977186 94606484 94779741 97751928 99394701 100202788 102511608 104682102 104742893 104834212 108319704 109779222 110671736 113124207 113593944 114043916 116066449 118897338 119596876 122636248 126372988 128485833 129284808 132333978 132410827 132526268 138530923 139576136 141909726 146372296 146725511 146840952 150304182 150832276 157251318 158529784 162055042 166007604 166992877 171065874 171314444 175123997 176445304 179395314 183954372 189212968 189559482 189669563 198789402 200405576 209364204 209485786 209668424 219558444 226248414 226379801 228087832 232132898 237794676 239193752 243082563 250853293 252745976 256971666 264667956 264821654 265052536 277061846 283819452 293451022 300608364 301664552 314228679 314502636 324110084 332015208 333985754 342131748 342628888 348199347 350247994 358790628 367908744 379118964 379339126 397232481 397578804 415592769 418728408 418971572 439116888 440176533 452496828 452759602 464265796 475589352 486165126 500978631 501706586 513943332 525371991 529335912 529643308 554123692 567192647 567638904 569008689 586902044 601216728 628457358 629005272 648220168 667971508 679139403 684263496 696398694 700495988 717581256 733200251 752559879 758237928 758678252 794464962 795157608 812465143 831185538 837943144 880353066 904993656 905519204 926875789 928531592 969716461 972330252 1001957262 1003413172 1027078577 1027886664 1050743982 1059286616 1108247384 1134385294 1138017378 1168950139 1173804088 1225867979 1256914716 1327686941 1335943016 1358278806 1392797388 1400991976 1466400502 1505119758 1517356504 1584658607 1588929924 1624930286 1662371076 1701577941 1755973051 1760706132 1811038408 1853751578 1939432922 1944660504 2003914524 2006826344 2054157154 2101487964 2199600753 2268770588 2276034756 2337900278 2437395429 2451735958 2513829432 2655373882 2716557612 2780627367 2785594776 2909149383 2932801004 3010239516 3081235731 3169317214 3177859848 3249860572 3324742152 3403155882 3506850417 3511946102 3521412264 3677603937 3707503156 3878865844 3983060823 4007829048 4108314308 4202975928 4294458613 4399201506 4537541176 4552069512 4675800556 4753975821 4874790858 4903471916 5267919153 5310747764 5428843907 5433115224 5561254734 5818298766 5865602008 6020479032 6162471462 6338634428 6499721144 6806311764 7013700834 7017773831 7023892204 7355207874 7415006312 7757731688 7776452083 7966121646 8216628616 8588917226 8798403012 9281571841 9351601112 9507951642 9749581716 9806943832 10535838306 10621495528 10857687814 11122509468 11636597532 12324942924 12677268856 12883375839 13612623528 14027401668 14035547662 14047784408 14710415748 15552904166 15932243292 16286531721 17177834452 17596806024 18563143682 19015903284 19499163432 21053321493 21071676612 21715375628 22245018936 23273195064 23329356249 24649885848 25766751678 27844715523 28054803336 28071095324 29420831496 30061210291 31105808332 31864486584 32573063442 34355668904 37126287364 38001907349 38031806568 42106642986 42143353224 43430751256 46658712498 49124416817 51533503356 54435164581 55689431046 56142190648 60122420582 62211616664 64971002887 65146126884 74252574728 76003814698 84213285972 90183630873 93317424996 98248833634 103067006712 108870329162 111378862092 114005722047 120244841164 129942005774 130292253768 147373250451 152007629396 163305493743 168426571944 180367261746 186634849992 194913008661 196497667268 217740658324 222757724184 228011444094 240489682328 259884011548 287728727071 294746500902 304015258792 326610987486 360734523492 389826017322 392995334536 435481316648 456022888188 519768023096 575457454142 589493001804 653221974972 721469046984 779652034644 863186181213 912045776376 1150914908284 1178986003608 1306443949944 1559304069288 1726372362426 2014101089497 2301829816568 3452744724852 4028202178994 6042303268491 6905489449704 8056404357988 12084606536982 16112808715976 24169213073964 48338426147928
- Sum of all divisors σ(n): 155190108487680
- Sum of proper divisors (its aliquot sum) s(n): 106851682339752
- 48338426147928 is an abundant number, because the sum of its proper divisors (106851682339752) is greater than itself. Its abundance is 58513256191824
Bases of 48338426147928
- Binary: 10101111110110101010101011100000110100010110002
- Hexadecimal: 0x2BF6AAB83458
- Base-36: H4UD6V80O
Squares and roots of 48338426147928
- 48338426147928 squared (483384261479282) is 2336603442458689384538693184
- 48338426147928 cubed (483384261479283) is 112947732940283688907538167887528189322752
-
The
square root of 48338426147928 is 6952584.1345450829 -
The
cube root of 48338426147928 is 36427.6231742615
Scales and comparisons
How big is 48338426147928?- 48,338,426,147,928 seconds is equal to 1,537,012 years, 22 weeks, 2 days, 20 hours, 38 minutes, 48 seconds.
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To count from 1 to 48,338,426,147,928 would take you about three million, eight hundred forty-two thousand, five hundred thirty-one 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 48338426147928 cubic inches would be around 3035.6 feet tall.
Recreational maths with 48338426147928
- 48338426147928 backwards is 82974162483384
- The number of decimal digits it has is: 14
- The sum of 48338426147928's digits is 69
- More coming soon!
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The information we have on file for 48338426147928 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 48338426147928, math, Factors of 48338426147928, curriculum, school, college, exams, university, Prime factorization of 48338426147928, STEM, science, technology, engineering, physics, economics, calculator, forty-eight trillion, three hundred thirty-eight billion, four hundred twenty-six million, one hundred forty-seven thousand, nine hundred twenty-eight.