137367921668096
137,367,921,668,096 is an even composite number composed of six prime numbers multiplied together.
What does the number 137367921668096 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 416 divisors.
137367921668096 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred sixteen divisors.
Prime factorization of 137367921668096:
212 × 7 × 31 × 41 × 193 × 19531
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 31 × 41 × 193 × 19531)See below for interesting mathematical facts about the number 137367921668096 from the Numbermatics database.
Names of 137367921668096
- Cardinal: 137367921668096 can be written as One hundred thirty-seven trillion, three hundred sixty-seven billion, nine hundred twenty-one million, six hundred sixty-eight thousand and ninety-six.
Scientific notation
- Scientific notation: 1.37367921668096 × 1014
Factors of 137367921668096
Divisors of 137367921668096
- Number of divisors d(n): 416
-
Complete list of divisors:
1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 128 164 193 217 224 248 256 287 328 386 434 448 496 512 574 656 772 868 896 992 1024 1148 1271 1312 1351 1544 1736 1792 1984 2048 2296 2542 2624 2702 3088 3472 3584 3968 4096 4592 5084 5248 5404 5983 6176 6944 7168 7913 7936 8897 9184 10168 10496 10808 11966 12352 13888 14336 15826 15872 17794 18368 19531 20336 20992 21616 23932 24704 27776 28672 31652 31744 35588 36736 39062 40672 41881 41984 43232 47864 49408 55391 55552 63304 63488 71176 73472 78124 81344 83762 83968 86464 95728 98816 110782 111104 126608 126976 136717 142352 146944 156248 162688 167524 167936 172928 191456 197632 221564 222208 245303 253216 273434 284704 293888 312496 325376 335048 345856 382912 395264 443128 444416 490606 506432 546868 569408 587776 605461 624992 650752 670096 691712 765824 790528 800771 886256 888832 981212 1012864 1093736 1138816 1175552 1210922 1249984 1301504 1340192 1383424 1531648 1601542 1717121 1772512 1962424 2025728 2187472 2277632 2421844 2499968 2603008 2680384 2766848 3063296 3203084 3434242 3545024 3769483 3924848 4051456 4238227 4374944 4555264 4843688 4999936 5206016 5360768 5533696 5605397 6126592 6406168 6868484 7090048 7538966 7849696 8102912 8476454 8749888 9110528 9687376 9999872 10721536 11210794 12253184 12812336 13736968 14180096 15077932 15699392 16205824 16952908 17499776 18221056 19374752 19999744 21443072 22421588 24506368 24823901 25624672 26386381 27473936 28360192 30155864 31398784 32411648 33905816 34999552 36442112 38749504 39999488 42886144 44843176 49647802 51249344 52772762 54947872 56720384 60311728 62797568 67811632 69999104 77499008 79998976 85772288 89686352 99295604 102498688 105545524 109895744 113440768 116853973 120623456 125595136 135623264 139998208 154548803 154998016 171544576 173767307 179372704 198591208 204997376 211091048 219791488 226881536 233707946 241246912 251190272 271246528 279996416 309097606 309996032 347534614 358745408 397182416 409994752 422182096 439582976 467415892 482493824 502380544 542493056 559992832 618195212 619992064 695069228 717490816 794364832 817977811 819989504 844364192 879165952 934831784 964987648 1004761088 1081841621 1084986112 1236390424 1239984128 1390138456 1434981632 1588729664 1635955622 1639979008 1688728384 1758331904 1869663568 1929975296 2163683242 2169972224 2472780848 2479968256 2780276912 2869963264 3177459328 3271911244 3279958016 3377456768 3516663808 3739327136 3859950592 4327366484 4339944448 4791012893 4945561696 5560553824 5739926528 6354918656 6543822488 6754913536 7033327616 7478654272 7719901184 8654732968 8679888896 9582025786 9891123392 11121107648 11479853056 12709837312 13087644976 13509827072 14957308544 15439802368 17309465936 17359777792 19164051572 19782246784 22242215296 22959706112 25419674624 26175289952 27019654144 29914617088 33537090251 34618931872 38328103144 39564493568 44484430592 50839349248 52350579904 54039308288 59829234176 67074180502 69237863744 76656206288 79128987136 88968861184 101678698496 104701159808 108078616576 119658468352 134148361004 138475727488 153312412576 158257974272 177937722368 209402319616 239316936704 268296722008 276951454976 306624825152 316515948544 355875444736 418804639232 478633873408 536593444016 553902909952 613249650304 633031897088 711750889472 837609278464 1073186888032 1107805819904 1226499300608 1675218556928 2146373776064 2215611639808 2452998601216 3350437113856 4292747552128 4431223279616 4905997202432 8585495104256 9811994404864 17170990208512 19623988809728 34341980417024 68683960834048 137367921668096
- Sum of all divisors σ(n): 333714154131456
- Sum of proper divisors (its aliquot sum) s(n): 196346232463360
- 137367921668096 is an abundant number, because the sum of its proper divisors (196346232463360) is greater than itself. Its abundance is 58978310795264
Bases of 137367921668096
- Binary: 111110011101111011101100010110010110000000000002
- Hexadecimal: 0x7CEF762CB000
- Base-36: 1COXY9TR7K
Squares and roots of 137367921668096
- 137367921668096 squared (1373679216680962) is 18869945903412158543184265216
- 137367921668096 cubed (1373679216680963) is 2592125250741130403485660706701770789748736
-
The
square root of 137367921668096 is 11720406.2074697735 -
The
cube root of 137367921668096 is 51597.4741953279
Scales and comparisons
How big is 137367921668096?- 137,367,921,668,096 seconds is equal to 4,367,875 years, 18 hours, 54 minutes, 56 seconds.
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To count from 1 to 137,367,921,668,096 would take you about ten million, nine hundred nineteen thousand, six hundred eighty-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 137367921668096 cubic inches would be around 4299.8 feet tall.
Recreational maths with 137367921668096
- 137367921668096 backwards is 690866129763731
- The number of decimal digits it has is: 15
- The sum of 137367921668096's digits is 74
- More coming soon!
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