136837636497333072
136,837,636,497,333,072 is an even composite number composed of five prime numbers multiplied together.
What does the number 136837636497333072 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 300 divisors.
136837636497333072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred divisors.
Prime factorization of 136837636497333072:
24 × 34 × 7 × 192 × 41782586491
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 19 × 19 × 41782586491)See below for interesting mathematical facts about the number 136837636497333072 from the Numbermatics database.
Names of 136837636497333072
- Cardinal: 136837636497333072 can be written as One hundred thirty-six quadrillion, eight hundred thirty-seven trillion, six hundred thirty-six billion, four hundred ninety-seven million, three hundred thirty-three thousand and seventy-two.
Scientific notation
- Scientific notation: 1.36837636497333072 × 1017
Factors of 136837636497333072
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 41782586522
Divisors of 136837636497333072
- Number of divisors d(n): 300
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 81 84 108 112 114 126 133 144 152 162 168 171 189 216 228 252 266 304 324 336 342 361 378 399 432 456 504 513 532 567 648 684 722 756 798 912 1008 1026 1064 1083 1134 1197 1296 1368 1444 1512 1539 1596 2052 2128 2166 2268 2394 2527 2736 2888 3024 3078 3192 3249 3591 4104 4332 4536 4788 5054 5776 6156 6384 6498 7182 7581 8208 8664 9072 9576 9747 10108 10773 12312 12996 14364 15162 17328 19152 19494 20216 21546 22743 24624 25992 28728 29241 30324 38988 40432 43092 45486 51984 57456 58482 60648 68229 77976 86184 90972 116964 121296 136458 155952 172368 181944 204687 233928 272916 363888 409374 467856 545832 818748 1091664 1637496 3274992 41782586491 83565172982 125347759473 167130345964 250695518946 292478105437 334260691928 376043278419 501391037892 584956210874 668521383856 752086556838 793869143329 877434316311 1002782075784 1128129835257 1169912421748 1504173113676 1587738286658 1754868632622 2005564151568 2256259670514 2339824843496 2381607429987 2632302948933 3008346227352 3175476573316 3384389505771 3509737265244 4512519341028 4679649686992 4763214859974 5264605897866 5557084003303 6016692454704 6350953146632 6768779011542 7019474530488 7144822289961 7896908846799 9025038682056 9526429719948 10529211795732 11114168006606 12701906293264 13537558023084 14038949060976 14289644579922 15083513723251 15793817693598 16671252009909 18050077364112 19052859439896 21058423591464 21434466869883 22228336013212 23690726540397 27075116046168 28579289159844 30167027446502 31587635387196 33342504019818 38105718879792 42116847182928 42868933739766 44456672026424 45250541169753 47381453080794 50013756029727 54150232092336 57158578319688 60334054893004 63175270774392 64303400609649 66685008039636 85737867479532 88913344052848 90501082339506 94762906161588 100027512059454 105584596062757 114317156639376 120668109786008 126350541548784 128606801219298 133370016079272 135751623509259 150041268089181 171475734959064 181002164679012 189525812323176 200055024118908 211169192125514 241336219572016 257213602438596 266740032158544 271503247018518 300082536178362 316753788188271 342951469918128 362004329358024 379051624646352 400110048237816 407254870527777 422338384251028 450123804267543 514427204877192 543006494037036 600165072356724 633507576376542 724008658716048 800220096475632 814509741055554 844676768502056 900247608535086 950261364564813 1028854409754384 1086012988074072 1200330144713448 1221764611583331 1267015152753084 1629019482111108 1689353537004112 1800495217070172 1900522729129626 2172025976148144 2400660289426896 2443529223166662 2534030305506168 2850784093694439 3258038964222216 3600990434140344 3801045458259252 4887058446333324 5068060611012336 5701568187388878 6516077928444432 7201980868280688 7602090916518504 8552352281083317 9774116892666648 11403136374777756 15204181833037008 17104704562166634 19548233785333296 22806272749555512 34209409124333268 45612545499111024 68418818248666536 136837636497333072
- Sum of all divisors σ(n): 477702316927187616
- Sum of proper divisors (its aliquot sum) s(n): 340864680429854544
- 136837636497333072 is an abundant number, because the sum of its proper divisors (340864680429854544) is greater than itself. Its abundance is 204027043932521472
Bases of 136837636497333072
- Binary: 1111001100010010100011010111110110101001111011011010100002
- Hexadecimal: 0x1E6251AFB53DB50
- Base-36: 11FCW6DRFP00
Squares and roots of 136837636497333072
- 136837636497333072 squared (1368376364973330722) is 18724538762176260001535768504957184
- 136837636497333072 cubed (1368376364973330723) is 2562221628718898018307707723696103808228227547189248
-
The
square root of 136837636497333072 is 369915715.3965387721 -
The
cube root of 136837636497333072 is 515309.9419344263
Scales and comparisons
How big is 136837636497333072?- 136,837,636,497,333,072 seconds is equal to 4,351,013,574 years, 5 days, 8 hours, 31 minutes, 12 seconds.
-
To count from 1 to 136,837,636,497,333,072 would take you about thirteen billion, fifty-three million, forty thousand, seven hundred twenty-two 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 136837636497333072 cubic inches would be around 42942.5 feet tall.
Recreational maths with 136837636497333072
- 136837636497333072 backwards is 270333794636738631
- 136837636497333072 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 136837636497333072's digits is 81
- More coming soon!
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