137980968616224
137,980,968,616,224 is an even composite number composed of six prime numbers multiplied together.
What does the number 137980968616224 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
137980968616224 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 137980968616224:
25 × 32 × 283 × 919 × 953 × 1933
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 283 × 919 × 953 × 1933)See below for interesting mathematical facts about the number 137980968616224 from the Numbermatics database.
Names of 137980968616224
- Cardinal: 137980968616224 can be written as One hundred thirty-seven trillion, nine hundred eighty billion, nine hundred sixty-eight million, six hundred sixteen thousand, two hundred twenty-four.
Scientific notation
- Scientific notation: 1.37980968616224 × 1014
Factors of 137980968616224
Divisors of 137980968616224
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 283 288 566 849 919 953 1132 1698 1838 1906 1933 2264 2547 2757 2859 3396 3676 3812 3866 4528 5094 5514 5718 5799 6792 7352 7624 7732 8271 8577 9056 10188 11028 11436 11598 13584 14704 15248 15464 16542 17154 17397 20376 22056 22872 23196 27168 29408 30496 30928 33084 34308 34794 40752 44112 45744 46392 61856 66168 68616 69588 81504 88224 91488 92784 132336 137232 139176 185568 260077 264672 269699 274464 278352 520154 539398 547039 556704 780231 809097 875807 1040308 1078796 1094078 1560462 1618194 1641117 1751614 1776427 1842149 2080616 2157592 2188156 2340693 2427291 2627421 3120924 3236388 3282234 3503228 3552854 3684298 4161232 4315184 4376312 4681386 4854582 4923351 5254842 5329281 5526447 6241848 6472776 6564468 7006456 7105708 7368596 7882263 8322464 8630368 8752624 9362772 9709164 9846702 10509684 10658562 11052894 12483696 12945552 13128936 14012912 14211416 14737192 15764526 15987843 16579341 17505248 18725544 19418328 19693404 21019368 21317124 22105788 24967392 25891104 26257872 28025824 28422832 29474384 31529052 31975686 33158682 37451088 38836656 39386808 42038736 42634248 44211576 52515744 56845664 58948768 63058104 63951372 66317364 74902176 77673312 78773616 84077472 85268496 88423152 126116208 127902744 132634728 157547232 170536992 176846304 247853381 252232416 255805488 265269456 495706762 502728841 511610976 521328167 530538912 743560143 991413524 1005457682 1042656334 1487120286 1508186523 1563984501 1692934931 1982827048 2010915364 2085312668 2230680429 2974240572 3016373046 3127969002 3385869862 3965654096 4021830728 4170625336 4461360858 4524559569 4691953503 5078804793 5948481144 6032746092 6255938004 6771739724 7931308192 8043661456 8341250672 8922721716 9049119138 9383907006 10157609586 11896962288 12065492184 12511876008 13543479448 15236414379 16087322912 16682501344 17845443432 18098238276 18767814012 20315219172 23793924576 24130984368 25023752016 27086958896 30472828758 35690886864 36196476552 37535628024 40630438344 48261968736 50047504032 54173917792 60945657516 71381773728 72392953104 75071256048 81260876688 121891315032 144785906208 150142512096 162521753376 243782630064 479100585473 487565260128 958201170946 1437301756419 1916402341892 2874603512838 3832804683784 4311905269257 5749207025676 7665609367568 8623810538514 11498414051352 15331218735136 17247621077028 22996828102704 34495242154056 45993656205408 68990484308112 137980968616224
- Sum of all divisors σ(n): 394816153979520
- Sum of proper divisors (its aliquot sum) s(n): 256835185363296
- 137980968616224 is an abundant number, because the sum of its proper divisors (256835185363296) is greater than itself. Its abundance is 118854216747072
Bases of 137980968616224
- Binary: 111110101111110001100101001111011000001001000002
- Hexadecimal: 0x7D7E329EC120
- Base-36: 1CWRKY5FS0
Squares and roots of 137980968616224
- 137980968616224 squared (1379809686162242) is 19038747700271392429396018176
- 137980968616224 cubed (1379809686162243) is 2626984848923353852967972771682206272487424
-
The
square root of 137980968616224 is 11746530.0670548663 -
The
cube root of 137980968616224 is 51674.1168705571
Scales and comparisons
How big is 137980968616224?- 137,980,968,616,224 seconds is equal to 4,387,367 years, 51 weeks, 6 days, 13 hours, 50 minutes, 24 seconds.
-
To count from 1 to 137,980,968,616,224 would take you about ten million, nine hundred sixty-eight thousand, four hundred nineteen 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 137980968616224 cubic inches would be around 4306.2 feet tall.
Recreational maths with 137980968616224
- 137980968616224 backwards is 422616869089731
- 137980968616224 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137980968616224's digits is 72
- More coming soon!
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