138725599122302976
138,725,599,122,302,976 is an even composite number composed of four prime numbers multiplied together.
What does the number 138725599122302976 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 288 divisors.
138725599122302976 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138725599122302976:
211 × 35 × 7 × 39821933537
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 7 × 39821933537)See below for interesting mathematical facts about the number 138725599122302976 from the Numbermatics database.
Names of 138725599122302976
- Cardinal: 138725599122302976 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-five trillion, five hundred ninety-nine billion, one hundred twenty-two million, three hundred two thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38725599122302976 × 1017
Factors of 138725599122302976
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 39821933549
Divisors of 138725599122302976
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 243 252 256 288 324 336 378 384 432 448 486 504 512 567 576 648 672 756 768 864 896 972 1008 1024 1134 1152 1296 1344 1512 1536 1701 1728 1792 1944 2016 2048 2268 2304 2592 2688 3024 3072 3402 3456 3584 3888 4032 4536 4608 5184 5376 6048 6144 6804 6912 7168 7776 8064 9072 9216 10368 10752 12096 13608 13824 14336 15552 16128 18144 18432 20736 21504 24192 27216 27648 31104 32256 36288 41472 43008 48384 54432 55296 62208 64512 72576 82944 96768 108864 124416 129024 145152 165888 193536 217728 248832 290304 387072 435456 497664 580608 870912 1161216 1741824 3483648 39821933537 79643867074 119465800611 159287734148 238931601222 278753534759 318575468296 358397401833 477863202444 557507069518 637150936592 716794803666 836260604277 955726404888 1075192205499 1115014139036 1274301873184 1433589607332 1672521208554 1911452809776 2150384410998 2230028278072 2508781812831 2548603746368 2867179214664 3225576616497 3345042417108 3822905619552 4300768821996 4460056556144 5017563625662 5097207492736 5734358429328 6451153232994 6690084834216 7526345438493 7645811239104 8601537643992 8920113112288 9676729849491 10035127251324 10194414985472 11468716858656 12902306465988 13380169668432 15052690876986 15291622478208 17203075287984 17840226224576 19353459698982 20070254502648 20388829970944 22579036315479 22937433717312 25804612931976 26760339336864 30105381753972 30583244956416 34406150575968 35680452449152 38706919397964 40140509005296 40777659941888 45158072630958 45874867434624 51609225863952 53520678673728 60210763507944 61166489912832 67737108946437 68812301151936 71360904898304 77413838795928 80281018010592 81555319883776 90316145261916 91749734869248 103218451727904 107041357347456 120421527015888 122332979825664 135474217892874 137624602303872 142721809796608 154827677591856 160562036021184 180632290523832 183499469738496 206436903455808 214082714694912 240843054031776 244665959651328 270948435785748 275249204607744 285443619593216 309655355183712 321124072042368 361264581047664 366998939476992 412873806911616 428165429389824 481686108063552 541896871571496 550498409215488 570887239186432 619310710367424 642248144084736 722529162095328 733997878953984 825747613823232 856330858779648 963372216127104 1083793743142992 1100996818430976 1238621420734848 1284496288169472 1445058324190656 1651495227646464 1712661717559296 1926744432254208 2167587486285984 2201993636861952 2477242841469696 2568992576338944 2890116648381312 3302990455292928 3853488864508416 4335174972571968 4954485682939392 5137985152677888 5780233296762624 6605980910585856 7706977729016832 8670349945143936 9908971365878784 11560466593525248 15413955458033664 17340699890287872 19817942731757568 23120933187050496 34681399780575744 46241866374100992 69362799561151488 138725599122302976
- Sum of all divisors σ(n): 474862221544576320
- Sum of proper divisors (its aliquot sum) s(n): 336136622422273344
- 138725599122302976 is an abundant number, because the sum of its proper divisors (336136622422273344) is greater than itself. Its abundance is 197411023299970368
Bases of 138725599122302976
- Binary: 1111011001101101000110010100010001111000000101000000000002
- Hexadecimal: 0x1ECDA3288F02800
- Base-36: 11XY4CFSLC00
Squares and roots of 138725599122302976
- 138725599122302976 squared (1387255991223029762) is 19244791851841908225123265938456576
- 138725599122302976 cubed (1387255991223029763) is 2669745279630783287814068373600139032201696091570176
-
The
square root of 138725599122302976 is 372458855.6099894587 -
The
cube root of 138725599122302976 is 517669.0530295537
Scales and comparisons
How big is 138725599122302976?- 138,725,599,122,302,976 seconds is equal to 4,411,044,945 years, 33 weeks, 20 hours, 9 minutes, 36 seconds.
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To count from 1 to 138,725,599,122,302,976 would take you about thirteen billion, two hundred thirty-three million, one hundred thirty-four thousand, eight hundred thirty-six 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 138725599122302976 cubic inches would be around 43139.1 feet tall.
Recreational maths with 138725599122302976
- 138725599122302976 backwards is 679203221995527831
- 138725599122302976 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138725599122302976's digits is 81
- More coming soon!
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