47138765681664
47,138,765,681,664 is an even composite number composed of five prime numbers multiplied together.
What does the number 47138765681664 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1144 divisors.
47138765681664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred forty-four divisors.
Prime factorization of 47138765681664:
210 × 312 × 19 × 47 × 97
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 47 × 97)See below for interesting mathematical facts about the number 47138765681664 from the Numbermatics database.
Names of 47138765681664
- Cardinal: 47138765681664 can be written as Forty-seven trillion, one hundred thirty-eight billion, seven hundred sixty-five million, six hundred eighty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.7138765681664 × 1013
Factors of 47138765681664
Divisors of 47138765681664
- Number of divisors d(n): 1144
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 47 48 54 57 64 72 76 81 94 96 97 108 114 128 141 144 152 162 171 188 192 194 216 228 243 256 282 288 291 304 324 342 376 384 388 423 432 456 486 512 513 564 576 582 608 648 684 729 752 768 776 846 864 873 893 912 972 1024 1026 1128 1152 1164 1216 1269 1296 1368 1458 1504 1536 1539 1552 1692 1728 1746 1786 1824 1843 1944 2052 2187 2256 2304 2328 2432 2538 2592 2619 2679 2736 2916 3008 3072 3078 3104 3384 3456 3492 3572 3648 3686 3807 3888 4104 4374 4512 4559 4608 4617 4656 4864 5076 5184 5238 5358 5472 5529 5832 6016 6156 6208 6561 6768 6912 6984 7144 7296 7372 7614 7776 7857 8037 8208 8748 9024 9118 9216 9234 9312 9728 10152 10368 10476 10716 10944 11058 11421 11664 12032 12312 12416 13122 13536 13677 13824 13851 13968 14288 14592 14744 15228 15552 15714 16074 16416 16587 17496 18048 18236 18468 18624 19456 19683 20304 20736 20952 21432 21888 22116 22842 23328 23571 24064 24111 24624 24832 26244 27072 27354 27648 27702 27936 28576 29184 29488 30456 31104 31428 32148 32832 33174 34263 34992 36096 36472 36936 37248 39366 40608 41031 41472 41553 41904 42864 43776 44232 45684 46656 47142 48128 48222 49248 49664 49761 52488 54144 54708 55404 55872 57152 58368 58976 59049 60912 62208 62856 64296 65664 66348 68526 69984 70713 72192 72333 72944 73872 74496 78732 81216 82062 82944 83106 83808 85728 86621 87552 88464 91368 93312 94284 96444 98496 99328 99522 102789 104976 108288 109416 110808 111744 114304 117952 118098 121824 123093 124416 124659 125712 128592 131328 132696 137052 139968 141426 144384 144666 145888 147744 148992 149283 157464 162432 164124 166212 167616 171456 173242 175104 176928 177147 182736 186624 188568 192888 196992 199044 205578 209952 212139 216576 216999 218832 221616 223488 228608 235904 236196 243648 246186 248832 249318 251424 257184 259863 262656 265392 274104 279936 282852 289332 291776 295488 297984 298566 308367 314928 324864 328248 332424 335232 342912 346484 353856 354294 365472 369279 373248 373977 377136 385776 393984 398088 411156 419904 424278 433152 433998 437664 443232 446976 447849 457216 471808 472392 487296 492372 498636 502848 514368 519726 525312 530784 531441 548208 559872 565704 578664 583552 590976 597132 616734 629856 636417 649728 650997 656496 664848 670464 685824 692968 707712 708588 730944 738558 746496 747954 754272 771552 779589 787968 796176 822312 839808 848556 867996 875328 886464 893952 895698 914432 925101 943616 944784 974592 984744 997272 1005696 1028736 1039452 1061568 1062882 1096416 1107837 1119744 1121931 1131408 1157328 1167104 1181952 1194264 1233468 1259712 1272834 1299456 1301994 1312992 1329696 1340928 1343547 1371648 1385936 1415424 1417176 1461888 1477116 1495908 1508544 1543104 1559178 1575936 1592352 1644624 1679616 1697112 1735992 1750656 1772928 1791396 1850202 1887232 1889568 1909251 1949184 1952991 1969488 1994544 2011392 2057472 2078904 2123136 2125764 2192832 2215674 2239488 2243862 2262816 2314656 2334208 2338767 2363904 2388528 2466936 2519424 2545668 2603988 2625984 2659392 2681856 2687094 2743296 2771872 2775303 2830848 2834352 2923776 2954232 2991816 3017088 3086208 3118356 3184704 3289248 3323511 3359232 3365793 3394224 3471984 3501312 3545856 3582792 3700404 3779136 3818502 3898368 3905982 3938976 3989088 4022784 4030641 4114944 4157808 4246272 4251528 4385664 4431348 4487724 4525632 4629312 4668416 4677534 4727808 4777056 4933872 5038848 5091336 5207976 5251968 5318784 5374188 5543744 5550606 5661696 5668704 5727753 5847552 5858973 5908464 5983632 6034176 6172416 6236712 6369408 6578496 6647022 6718464 6731586 6788448 6943968 7002624 7016301 7091712 7165584 7400808 7558272 7637004 7811964 7877952 7978176 8045568 8061282 8229888 8315616 8325909 8492544 8503056 8771328 8862696 8975448 9051264 9258624 9355068 9554112 9867744 9970533 10077696 10097379 10182672 10415952 10503936 10637568 10748376 11087488 11101212 11337408 11455506 11695104 11717946 11816928 11967264 12068352 12091923 12344832 12473424 12738816 13156992 13294044 13463172 13576896 13887936 14005248 14032602 14183424 14331168 14801616 15116544 15274008 15623928 15755904 15956352 16122564 16631232 16651818 16985088 17006112 17183259 17542656 17576919 17725392 17950896 18102528 18517248 18710136 19108224 19735488 19941066 20155392 20194758 20365344 20831904 21007872 21048903 21275136 21496752 22174976 22202424 22674816 22911012 23435892 23633856 23934528 24136704 24183846 24689664 24946848 24977727 25477632 26313984 26588088 26926344 27153792 27775872 28065204 28662336 29603232 29911599 30233088 30548016 31247856 31511808 31912704 32245128 33262464 33303636 34012224 34366518 35085312 35153838 35450784 35901792 36205056 36275769 37034496 37420272 38216448 39470976 39882132 40389516 40730688 41663808 42015744 42097806 42550272 42993504 44349952 44404848 45349632 45822024 46871784 47267712 47869056 48367692 49893696 49955454 50955264 51549777 52627968 52730757 53176176 53852688 54307584 55551744 56130408 57324672 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272097792 274932144 281230704 283606272 287214336 290206152 299362176 315767808 316384542 319057056 323116128 325845504 326481921 333310464 336782448 343948032 355238784 358939188 366576192 374974272 378141696 378880254 382952448 386941536 399149568 399643632 412398216 421846056 425409408 430821504 435309228 449043264 458597376 473651712 474576813 478585584 488768256 499965696 505173672 515922048 532858176 538408782 544195584 549864288 562461408 567212544 568320381 574428672 580412304 598724352 632769084 638114112 646232256 651691008 652963842 666620928 673564896 687896064 710477568 717878376 733152384 749948544 757760508 773883072 798299136 799287264 807613173 824796432 843692112 850818816 861643008 870618456 898086528 947303424 949153626 957171168 977536512 979445763 999931392 1010347344 1031844096 1065716352 1076817564 1099728576 1124922816 1134425088 1136640762 1148857344 1160824608 1197448704 1265538168 1276228224 1292464512 1305927684 1347129792 1375792128 1420955136 1435756752 1466304768 1499897088 1515521016 1547766144 1598574528 1615226346 1649592864 1687384224 1701637632 1704961143 1723286016 1741236912 1796173056 1898307252 1914342336 1955073024 1958891526 1999862784 2020694688 2063688192 2131432704 2153635128 2199457152 2249845632 2273281524 2321649216 2394897408 2422839519 2531076336 2552456448 2584929024 2611855368 2694259584 2841910272 2871513504 2932609536 2999794176 3031042032 3095532288 3197149056 3230452692 3299185728 3374768448 3403275264 3409922286 3446572032 3482473824 3592346112 3796614504 3828684672 3917783052 4041389376 4127376384 4262865408 4307270256 4398914304 4499691264 4546563048 4643298432 4845679038 5062152672 5104912896 5114883429 5169858048 5223710736 5388519168 5743027008 5865219072 5999588352 6062084064 6191064576 6394298112 6460905384 6598371456 6749536896 6819844572 6964947648 7184692224 7593229008 7657369344 7835566104 8082778752 8525730816 8614540512 8797828608 8999382528 9093126096 9286596864 9691358076 10124305344 10209825792 10229766858 10339716096 10447421472 10777038336 11486054016 12124168128 12382129152 12788596224 12921810768 13196742912 13499073792 13639689144 13929895296 15186458016 15314738688 15344650287 15671132208 16165557504 17229081024 17595657216 17998765056 18186252192 18573193728 19382716152 20248610688 20459533716 20894842944 21554076672 22972108032 24248336256 25577192448 25843621536 26393485824 26998147584 27279378288 27859790592 30372916032 30629477376 30689300574 31342264416 32331115008 34458162048 36372504384 37146387456 38765432304 40497221376 40919067432 41789685888 45944216064 46033950861 48496672512 51687243072 52786971648 53996295168 54558756576 55719581184 60745832064 61378601148 62684528832 64662230016 68916324096 72745008768 77530864608 80994442752 81838134864 83579371776 91888432128 92067901722 96993345024 103374486144 109117513152 111439162368 121491664128 122757202296 125369057664 137832648192 145490017536 155061729216 161988885504 163676269728 167158743552 184135803444 193986690048 206748972288 218235026304 242983328256 245514404592 250738115328 275665296384 290980035072 310123458432 327352539456 334317487104 368271606888 413497944576 436470052608 485966656512 491028809184 501476230656 581960070144 620246916864 654705078912 736543213776 826995889152 872940105216 982057618368 1002952461312 1240493833728 1309410157824 1473086427552 1745880210432 1964115236736 2480987667456 2618820315648 2946172855104 3928230473472 5237640631296 5892345710208 7856460946944 11784691420416 15712921893888 23569382840832 47138765681664
- Sum of all divisors σ(n): 153518668383360
- Sum of proper divisors (its aliquot sum) s(n): 106379902701696
- 47138765681664 is an abundant number, because the sum of its proper divisors (106379902701696) is greater than itself. Its abundance is 59241137020032
Bases of 47138765681664
- Binary: 10101011011111010110010110001000110100000000002
- Hexadecimal: 0x2ADF59623400
- Base-36: GPJ900000
Squares and roots of 47138765681664
- 47138765681664 squared (471387656816642) is 2222063229990823674585808896
- 47138765681664 cubed (471387656816643) is 104745317928378898961201747196314275282944
-
The
square root of 47138765681664 is 6865767.6687799449 -
The
cube root of 47138765681664 is 36123.7423029547
Scales and comparisons
How big is 47138765681664?- 47,138,765,681,664 seconds is equal to 1,498,866 years, 48 weeks, 5 days, 18 hours, 14 minutes, 24 seconds.
-
To count from 1 to 47,138,765,681,664 would take you about three million, seven hundred forty-seven thousand, one hundred sixty-seven 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 47138765681664 cubic inches would be around 3010.3 feet tall.
Recreational maths with 47138765681664
- 47138765681664 backwards is 46618656783174
- 47138765681664 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 47138765681664's digits is 72
- More coming soon!
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The information we have on file for 47138765681664 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 47138765681664, math, Factors of 47138765681664, curriculum, school, college, exams, university, Prime factorization of 47138765681664, STEM, science, technology, engineering, physics, economics, calculator, forty-seven trillion, one hundred thirty-eight billion, seven hundred sixty-five million, six hundred eighty-one thousand, six hundred sixty-four.