48537383852038146
48,537,383,852,038,146 is an even composite number composed of seven prime numbers multiplied together.
What does the number 48537383852038146 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 288 divisors.
48537383852038146 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 48537383852038146:
2 × 3 × 13 × 31 × 73 × 1272 × 41292
(2 × 3 × 13 × 31 × 73 × 127 × 127 × 4129 × 4129)See below for interesting mathematical facts about the number 48537383852038146 from the Numbermatics database.
Names of 48537383852038146
- Cardinal: 48537383852038146 can be written as Forty-eight quadrillion, five hundred thirty-seven trillion, three hundred eighty-three billion, eight hundred fifty-two million, thirty-eight thousand, one hundred forty-six.
Scientific notation
- Scientific notation: 4.8537383852038146 × 1016
Factors of 48537383852038146
Divisors of 48537383852038146
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 6 13 26 31 39 62 73 78 93 127 146 186 219 254 381 403 438 762 806 949 1209 1651 1898 2263 2418 2847 3302 3937 4129 4526 4953 5694 6789 7874 8258 9271 9906 11811 12387 13578 16129 18542 23622 24774 27813 29419 32258 48387 51181 53677 55626 58838 88257 96774 102362 107354 120523 127999 153543 161031 176514 209677 241046 255998 287401 301417 307086 322062 361569 383997 419354 499999 524383 574802 602834 629031 723138 767994 862203 904251 999998 1048766 1177417 1258062 1499997 1573149 1663987 1724406 1808502 2354834 2999994 3146298 3327974 3532251 3736213 3918421 4991961 6499987 6816979 7064502 7472426 7836842 9343927 9983922 11208639 11755263 12999974 13633958 15306421 16255873 17048641 18687854 19499961 20450937 22417278 23510526 28031781 30612842 32511746 34097282 36499927 38279959 38999922 40901874 45919263 48767619 51145923 56063562 66596641 72999854 76559918 91838526 97535238 102291846 109499781 114839877 121471051 133193282 199789923 211326349 218999562 221632333 229679754 242942102 364413153 399579846 422652698 443264666 474499051 497639467 528507871 633979047 664896999 728826306 865756333 948998102 995278934 1057015742 1186678729 1244550793 1267958094 1329793998 1423497153 1492918401 1585523613 1731512666 2064495871 2165177407 2373357458 2489101586 2597268999 2846994306 2985836802 3171047226 3560036187 3733652379 4128991742 4330354814 4861554793 5194537998 6193487613 6495532221 6870602323 7120072374 7467304758 9723109586 12386975226 12991064442 13741204646 14584664379 15426823477 16179160309 20611806969 26838446323 28147306291 29169328758 30853646954 32358320618 38581074583 41223613938 46280470431 48537480927 53676892646 56294612582 63200212309 67120499617 77162149166 80515338969 84441918873 92560940862 97074961854 115743223749 126400424618 134240999234 150708198583 158057950711 161030677938 168883837746 189600636927 201361498851 231486447498 274977530689 301416397166 316115901422 379201273854 402722997702 452124595749 474173852133 501553969579 549955061378 824932592067 872566495021 904249191498 948347704266 1003107939158 1504661908737 1649865184134 1745132990042 1959206581579 2054753359243 2617699485063 3009323817474 3574707898957 3918413163158 4109506718486 4899796472041 5235398970126 5877619744737 6164260077729 7149415797914 8524303451359 9799592944082 10724123696871 11755239489474 12328520155458 14699389416123 17048606902718 20073359740297 21448247393742 25572910354077 29398778832246 40146719480594 51145820708154 60220079220891 63697354136533 110815944867667 120440158441782 127394708273066 191092062409599 221631889735334 260953676623861 332447834603001 382184124819198 521907353247722 622274151949207 664895669206002 782861029871583 1244548303898414 1565722059743166 1866822455847621 3733644911695242 8089563975339691 16179127950679382 24268691926019073 48537383852038146
- Sum of all divisors σ(n): 110287513528432128
- Sum of proper divisors (its aliquot sum) s(n): 61750129676393982
- 48537383852038146 is an abundant number, because the sum of its proper divisors (61750129676393982) is greater than itself. Its abundance is 13212745824355836
Bases of 48537383852038146
- Binary: 101011000111000001111110010100101101001111011000000000102
- Hexadecimal: 0xAC707E52D3D802
- Base-36: D9X2EBFE136
Squares and roots of 48537383852038146
- 48537383852038146 squared (485373838520381462) is 2355877631200093371992838239117316
- 48537383852038146 cubed (485373838520381463) is 114348136893989290722777174568748967159450601136136
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The
square root of 48537383852038146 is 220312014.7700486761 -
The
cube root of 48537383852038146 is 364775.3264270583
Scales and comparisons
How big is 48537383852038146?- 48,537,383,852,038,146 seconds is equal to 1,543,338,670 years, 26 weeks, 3 days, 6 hours, 9 minutes, 6 seconds.
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To count from 1 to 48,537,383,852,038,146 would take you about four billion, six hundred thirty million, sixteen thousand and eleven 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 48537383852038146 cubic inches would be around 30397.9 feet tall.
Recreational maths with 48537383852038146
- 48537383852038146 backwards is 64183025838373584
- 48537383852038146 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 48537383852038146's digits is 78
- More coming soon!
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