48137740946945964
48,137,740,946,945,964 is an even composite number composed of five prime numbers multiplied together.
What does the number 48137740946945964 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1404 divisors.
48137740946945964 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 48137740946945964:
22 × 312 × 193 × 232 × 792
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 19 × 23 × 23 × 79 × 79)See below for interesting mathematical facts about the number 48137740946945964 from the Numbermatics database.
Names of 48137740946945964
- Cardinal: 48137740946945964 can be written as Forty-eight quadrillion, one hundred thirty-seven trillion, seven hundred forty billion, nine hundred forty-six million, nine hundred forty-five thousand, nine hundred sixty-four.
Scientific notation
- Scientific notation: 4.8137740946945964 × 1016
Factors of 48137740946945964
Divisors of 48137740946945964
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 79 81 92 108 114 138 158 162 171 207 228 237 243 276 316 324 342 361 414 437 474 486 513 529 621 684 711 722 729 828 874 948 972 1026 1058 1083 1242 1311 1422 1444 1458 1501 1539 1587 1748 1817 1863 2052 2116 2133 2166 2187 2484 2622 2844 2916 3002 3078 3174 3249 3634 3726 3933 4266 4332 4374 4503 4617 4761 5244 5451 5589 6004 6156 6241 6348 6399 6498 6561 6859 7268 7452 7866 8303 8532 8748 9006 9234 9522 9747 10051 10902 11178 11799 12482 12798 12996 13122 13509 13718 13851 14283 15732 16353 16606 16767 18012 18468 18723 19044 19197 19494 19683 20102 20577 21804 22356 23598 24909 24964 25596 26244 27018 27436 27702 28519 28566 29241 30153 32706 33212 33534 34523 35397 37446 38394 38988 39366 40204 40527 41154 41553 41791 42849 47196 49059 49818 50301 54036 55404 56169 57038 57132 57591 58482 59049 60306 61731 65412 67068 69046 70794 74727 74892 76788 78732 81054 82308 83106 83582 85557 85698 87723 90459 98118 99636 100602 103569 106191 112338 114076 115182 116964 118098 118579 120612 121581 123462 124659 125373 128547 138092 141588 143543 147177 149454 150903 157757 162108 166212 167164 168507 171114 171396 172773 175446 177147 180918 185193 190969 196236 201204 207138 212382 224181 224676 230364 236196 237158 243162 246924 249318 250746 256671 257094 263169 271377 287086 294354 298908 301806 310707 315514 318573 337014 342228 345546 350892 354294 355737 361836 364743 370386 373977 376119 381938 385641 414276 424764 430629 441531 448362 452709 473271 474316 486324 498636 501492 505521 513342 514188 518319 526338 531441 541861 542754 555579 572907 574172 588708 603612 621414 631028 637146 655937 672543 674028 691092 708588 711474 729486 740772 747954 752238 763876 770013 771282 789507 794029 814131 861258 883062 896724 905418 932121 946542 955719 1011042 1026684 1036638 1052676 1062882 1067211 1083722 1085508 1094229 1111158 1121931 1128357 1145814 1156923 1242828 1274292 1291887 1311874 1324593 1345086 1358127 1419813 1422948 1458972 1495908 1504476 1516563 1540026 1542564 1554957 1579014 1588058 1625583 1628262 1666737 1718721 1722516 1766124 1810836 1864242 1893084 1911438 1967811 2017629 2022084 2073276 2125764 2134422 2167444 2188458 2222316 2243862 2253001 2256714 2291628 2310039 2313846 2368521 2382087 2442393 2583774 2623748 2649186 2690172 2716254 2727317 2796363 2839626 2867157 3033126 3080052 3109914 3158028 3176116 3201633 3251166 3256524 3282687 3301489 3333474 3365793 3385071 3437442 3470769 3628411 3728484 3822876 3875661 3935622 3973779 4035258 4074381 4259439 4268844 4376916 4487724 4506002 4513428 4549689 4620078 4627692 4664871 4737042 4764174 4876749 4884786 5000211 5156163 5167548 5298372 5432508 5454634 5592726 5679252 5734314 5903433 6052887 6066252 6219828 6403266 6502332 6565374 6602978 6666948 6731586 6759003 6770142 6874884 6930117 6941538 7105563 7146261 7256822 7327179 7751322 7871244 7947558 8070516 8148762 8181951 8389089 8518878 8601471 9012004 9099378 9240156 9329742 9474084 9528348 9604899 9753498 9769572 9848061 9904467 10000422 10097379 10155213 10312326 10412307 10885233 10909268 11185452 11468628 11626983 11806866 11921337 12105774 12223143 12462803 12778317 12806532 13130748 13205956 13463172 13518006 13540284 13649067 13860234 13883076 13994613 14211126 14292522 14513644 14630247 14654358 15000633 15086551 15468489 15502644 15895116 16297524 16363902 16778178 17037756 17202942 17710299 18158661 18198756 18659484 19209798 19506996 19696122 19808934 20000844 20194758 20277009 20310426 20624652 20790351 20824614 21316689 21438783 21770466 21981537 23253966 23613732 23842674 24211548 24446286 24545853 24925606 25167267 25556634 25804413 27036012 27298134 27720468 27989226 28422252 28585044 28814697 29260494 29308716 29544183 29713401 30001266 30173102 30465639 30936978 31236921 32655699 32727804 33556356 34405884 34880949 35420598 35764011 36317322 37388409 38334951 38419596 39392244 39617868 40389516 40554018 40620852 40947201 41580702 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2943664217388 3059861489127 3370282219908 3475398234564 3509093231298 3563382999996 3668475914262 3704042855259 3761348722218 3856572740502 4079815318836 4306471725438 4415496326082 4789348417764 4938723807012 5055423329862 5213097351846 5345074499994 5502713871393 5642023083327 5797632295188 6119722978254 6459707588157 6623244489123 7018186462596 7336951828524 7408085710518 7522697444436 7583134994793 7713145481004 7819646027769 8017611749991 8612943450876 8830992652164 9179584467381 10110846659724 10426194703692 10690148999988 11005427742786 11112128565777 11284046166654 12239445956508 12919415176314 13246488978246 14816171421036 15166269989586 15639292055538 16035223499982 16508141614179 16926069249981 18359168934762 19379122764471 22010855485572 22224257131554 22568092333308 22749404984379 23458938083307 25838830352628 26492977956492 27538753402143 30332539979172 31278584111076 32070446999964 33016283228358 33336385697331 33852138499962 36718337869524 38758245528942 44448514263108 45498809968758 46917876166614 49524424842537 50778207749943 55077506804286 58137368293413 66032566456716 66672771394662 67704276999924 70376814249921 77516491057884 90997619937516 93835752333228 99048849685074 101556415499886 110155013608572 116274736586826 133345542789324 140753628499842 148573274527611 152334623249829 174412104880239 198097699370148 203112830999772 211130442749763 232549473173652 281507256999684 297146549055222 304669246499658 348824209760478 422260885499526 445719823582833 523236314640717 594293098110444 609338492999316 633391328249289 697648419520956 844521770999052 891439647165666 1046472629281434 1266782656498578 1337159470748499 1782879294331332 2092945258562868 2533565312997156 2674318941496998 4011478412245497 5348637882993996 8022956824490994 12034435236736491 16045913648981988 24068870473472982 48137740946945964
- Sum of all divisors σ(n): 141219142843893240
- Sum of proper divisors (its aliquot sum) s(n): 93081401896947276
- 48137740946945964 is an abundant number, because the sum of its proper divisors (93081401896947276) is greater than itself. Its abundance is 44943660950001312
Bases of 48137740946945964
- Binary: 101010110000010100000101001101010110111010110111101011002
- Hexadecimal: 0xAB0505356EB7AC
- Base-36: D5ZEKWG66R0
Squares and roots of 48137740946945964
- 48137740946945964 squared (481377409469459642) is 2317242103475278114869378735889296
- 48137740946945964 cubed (481377409469459643) is 111546800088449091818057272202854180768830798001344
-
The
square root of 48137740946945964 is 219403147.0762121133 -
The
cube root of 48137740946945964 is 363771.4142321353
Scales and comparisons
How big is 48137740946945964?- 48,137,740,946,945,964 seconds is equal to 1,530,631,262 years, 15 weeks, 5 days, 12 hours, 59 minutes, 24 seconds.
-
To count from 1 to 48,137,740,946,945,964 would take you about four billion, five hundred ninety-one million, eight hundred ninety-three thousand, seven hundred eighty-six 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 48137740946945964 cubic inches would be around 30314.3 feet tall.
Recreational maths with 48137740946945964
- 48137740946945964 backwards is 46954964904773184
- The number of decimal digits it has is: 17
- The sum of 48137740946945964's digits is 90
- More coming soon!
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"Number 48137740946945964 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 48137740946945964 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/48137740946945964/
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The information we have on file for 48137740946945964 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 48137740946945964, math, Factors of 48137740946945964, curriculum, school, college, exams, university, Prime factorization of 48137740946945964, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quadrillion, one hundred thirty-seven trillion, seven hundred forty billion, nine hundred forty-six million, nine hundred forty-five thousand, nine hundred sixty-four.