137883774813216768
137,883,774,813,216,768 is an even composite number composed of four prime numbers multiplied together.
137883774813216768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand and fifty-eight divisors.
Prime factorization of 137883774813216768:
213 × 36 × 76 × 4432
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 7 × 7 × 7 × 443 × 443)See below for interesting mathematical facts about the number 137883774813216768 from the Numbermatics database.
Names of 137883774813216768
- Cardinal: 137883774813216768 can be written as One hundred thirty-seven quadrillion, eight hundred eighty-three trillion, seven hundred seventy-four billion, eight hundred thirteen million, two hundred sixteen thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37883774813216768 × 1017
Factors of 137883774813216768
Divisors of 137883774813216768
- Number of divisors d(n): 2058
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 128 144 147 162 168 189 192 196 216 224 243 252 256 288 294 324 336 343 378 384 392 432 441 443 448 486 504 512 567 576 588 648 672 686 729 756 768 784 864 882 886 896 972 1008 1024 1029 1134 1152 1176 1296 1323 1329 1344 1372 1458 1512 1536 1568 1701 1728 1764 1772 1792 1944 2016 2048 2058 2268 2304 2352 2401 2592 2646 2658 2688 2744 2916 3024 3072 3087 3101 3136 3402 3456 3528 3544 3584 3888 3969 3987 4032 4096 4116 4536 4608 4704 4802 5103 5184 5292 5316 5376 5488 5832 6048 6144 6174 6202 6272 6804 6912 7056 7088 7168 7203 7776 7938 7974 8064 8192 8232 9072 9216 9261 9303 9408 9604 10206 10368 10584 10632 10752 10976 11664 11907 11961 12096 12288 12348 12404 12544 13608 13824 14112 14176 14336 14406 15552 15876 15948 16128 16464 16807 18144 18432 18522 18606 18816 19208 20412 20736 21168 21264 21504 21609 21707 21952 23328 23814 23922 24192 24576 24696 24808 25088 27216 27648 27783 27909 28224 28352 28672 28812 31104 31752 31896 32256 32928 33614 35721 35883 36288 36864 37044 37212 37632 38416 40824 41472 42336 42528 43008 43218 43414 43904 46656 47628 47844 48384 49392 49616 50176 50421 54432 55296 55566 55818 56448 56704 57344 57624 62208 63504 63792 64512 64827 65121 65856 67228 71442 71766 72576 73728 74088 74424 75264 76832 81648 82944 83349 83727 84672 85056 86016 86436 86828 87808 93312 95256 95688 96768 98784 99232 100352 100842 107649 108864 110592 111132 111636 112896 113408 115248 117649 124416 127008 127584 129024 129654 130242 131712 134456 142884 143532 145152 148176 148848 150528 151263 151949 153664 163296 165888 166698 167454 169344 170112 172032 172872 173656 175616 186624 190512 191376 193536 194481 195363 196249 197568 198464 200704 201684 215298 217728 221184 222264 223272 225792 226816 230496 235298 248832 250047 251181 254016 255168 258048 259308 260484 263424 268912 285768 287064 290304 296352 297696 301056 302526 303898 307328 322947 326592 331776 333396 334908 338688 340224 345744 347312 351232 352947 373248 381024 382752 387072 388962 390726 392498 395136 396928 401408 403368 430596 435456 444528 446544 451584 453632 453789 455847 460992 470596 497664 500094 502362 508032 510336 516096 518616 520968 526848 537824 571536 574128 580608 583443 586089 588747 592704 595392 602112 605052 607796 614656 645894 653184 663552 666792 669816 677376 680448 691488 694624 702464 705894 746496 753543 762048 765504 774144 777924 781452 784996 790272 793856 806736 861192 870912 889056 893088 903168 907264 907578 911694 921984 941192 995328 1000188 1004724 1016064 1020672 1037232 1041936 1053696 1058841 1063643 1075648 1143072 1148256 1161216 1166886 1172178 1177494 1185408 1190784 1204224 1210104 1215592 1229312 1291788 1306368 1333584 1339632 1354752 1360896 1361367 1367541 1373743 1382976 1389248 1404928 1411788 1492992 1507086 1524096 1531008 1548288 1555848 1562904 1569992 1580544 1587712 1613472 1722384 1741824 1750329 1758267 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538608495364128 547157836560384 567422941618176 615552566130432 638350809320448 703488647006208 718144660485504 729543782080512 820736754840576 851134412427264 937984862674944 957526213980672 1077216990728256 1094315673120768 1231105132260864 1276701618640896 1406977294012416 1436289320971008 1641473509681152 1702268824854528 1915052427961344 2154433981456512 2188631346241536 2462210264521728 2553403237281792 2813954588024832 2872578641942016 3282947019362304 3830104855922688 4308867962913024 4924420529043456 5106806474563584 5745157283884032 6565894038724608 7660209711845376 8617735925826048 9848841058086912 11490314567768064 15320419423690752 17235471851652096 19697682116173824 22980629135536128 34470943703304192 45961258271072256 68941887406608384 137883774813216768
- Sum of all divisors σ(n): 483433787101497519
- Sum of proper divisors (its aliquot sum) s(n): 345550012288280751
- 137883774813216768 is an abundant number, because the sum of its proper divisors (345550012288280751) is greater than itself. Its abundance is 207666237475063983
Bases of 137883774813216768
- Binary: 1111010011101110010010000000010100000100000100000000000002
- Hexadecimal: 0x1E9DC900A082000
- Base-36: 11PNPVOU8000
Squares and roots of 137883774813216768
- 137883774813216768 squared (1378837748132167682) is 19011935356741870765166375756365824
- 137883774813216768 cubed (1378837748132167683) is 2621437413492430109155958781112111412605146818936832
-
The
square root of 137883774813216768 is 371327045.6258428371 -
The
cube root of 137883774813216768 is 516619.8093686439
Scales and comparisons
How big is 137883774813216768?- 137,883,774,813,216,768 seconds is equal to 4,384,277,536 years, 28 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,883,774,813,216,768 would take you about thirteen billion, one hundred fifty-two million, eight hundred thirty-two thousand, six hundred 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 137883774813216768 cubic inches would be around 43051.7 feet tall.
Recreational maths with 137883774813216768
- 137883774813216768 backwards is 867612318477388731
- The number of decimal digits it has is: 18
- The sum of 137883774813216768's digits is 90
- More coming soon!
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The information we have on file for 137883774813216768 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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