138131214480
138,131,214,480 is an even composite number composed of seven prime numbers multiplied together.
138131214480 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138131214480:
24 × 32 × 5 × 7 × 19 × 137 × 10529
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 137 × 10529)See below for interesting mathematical facts about the number 138131214480 from the Numbermatics database.
Names of 138131214480
- Cardinal: 138131214480 can be written as One hundred thirty-eight billion, one hundred thirty-one million, two hundred fourteen thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3813121448 × 1011
Factors of 138131214480
Divisors of 138131214480
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 35 36 38 40 42 45 48 56 57 60 63 70 72 76 80 84 90 95 105 112 114 120 126 133 137 140 144 152 168 171 180 190 210 228 240 252 266 274 280 285 304 315 336 342 360 380 399 411 420 456 504 532 548 560 570 630 665 684 685 720 760 798 822 840 855 912 959 1008 1064 1096 1140 1197 1233 1260 1330 1368 1370 1520 1596 1644 1680 1710 1918 1995 2055 2128 2192 2280 2394 2466 2520 2603 2660 2736 2740 2877 3192 3288 3420 3836 3990 4110 4560 4788 4795 4932 5040 5206 5320 5480 5754 5985 6165 6384 6576 6840 7672 7809 7980 8220 8631 9576 9590 9864 10412 10529 10640 10960 11508 11970 12330 13015 13680 14385 15344 15618 15960 16440 17262 18221 19152 19180 19728 20824 21058 23016 23427 23940 24660 26030 28770 31236 31587 31920 32880 34524 36442 38360 39045 41648 42116 43155 46032 46854 47880 49320 52060 52645 54663 57540 62472 63174 69048 72884 73703 76720 78090 84232 86310 91105 93708 94761 95760 98640 104120 105290 109326 115080 117135 124944 126348 138096 145768 147406 156180 157935 163989 168464 172620 182210 187416 189522 200051 208240 210580 218652 221109 230160 234270 252696 273315 291536 294812 312360 315870 327978 345240 364420 368515 374832 379044 400102 421160 437304 442218 468540 473805 505392 546630 589624 600153 624720 631740 655956 663327 690480 728840 737030 758088 800204 819945 842320 874608 884436 937080 947610 1000255 1093260 1105545 1179248 1200306 1263480 1311912 1326654 1400357 1442473 1457680 1474060 1516176 1600408 1639890 1768872 1800459 1874160 1895220 2000510 2186520 2211090 2400612 2526960 2623824 2653308 2800714 2884946 2948120 3000765 3200816 3279780 3316635 3537744 3600918 3790440 4001020 4201071 4327419 4373040 4422180 4801224 5306616 5601428 5769892 5896240 6001530 6559560 6633270 7001785 7201836 7212365 7580880 8002040 8402142 8654838 8844360 9002295 9602448 10097311 10613232 11202856 11539784 12003060 12603213 12982257 13119120 13266540 14003570 14403672 14424730 16004080 16804284 17309676 17688720 18004590 20194622 21005355 21637095 22405712 23079568 24006120 25206426 25964514 26533080 27406987 28007140 28807344 28849460 30291933 33608568 34619352 36009180 40389244 42010710 43274190 48012240 50412852 50486555 51929028 53066160 54813974 56014280 57698920 60583866 63016065 64911285 67217136 69238704 72018360 80778488 82220961 84021420 86548380 90875799 100825704 100973110 103858056 109627948 112028560 115397840 121167732 126032130 129822570 137034935 144036720 151459665 161556976 164441922 168042840 173096760 181751598 191848909 201651408 201946220 207716112 219255896 242335464 246662883 252064260 259645140 274069870 302919330 328883844 336085680 346193520 363503196 383697818 403892440 411104805 438511792 454378995 484670928 493325766 504128520 519290280 548139740 575546727 605838660 657767688 727006392 767395636 807784880 822209610 908757990 959244545 986651532 1008257040 1038580560 1096279480 1151093454 1211677320 1233314415 1315535376 1454012784 1534791272 1644419220 1726640181 1817515980 1918489090 1973303064 2192558960 2302186908 2423354640 2466628830 2877733635 3069582544 3288838440 3453280362 3635031960 3836978180 3946606128 4604373816 4933257660 5755467270 6577676880 6906560724 7270063920 7673956360 8633200905 9208747632 9866515320 11510934540 13813121448 15347912720 17266401810 19733030640 23021869080 27626242896 34532803620 46043738160 69065607240 138131214480
- Sum of all divisors σ(n): 562190803200
- Sum of proper divisors (its aliquot sum) s(n): 424059588720
- 138131214480 is an abundant number, because the sum of its proper divisors (424059588720) is greater than itself. Its abundance is 285928374240
Bases of 138131214480
- Binary: 100000001010010100001100010000100100002
- Hexadecimal: 0x2029431090
- Base-36: 1RGFRB80
Squares and roots of 138131214480
- 138131214480 squared (1381312144802) is 19080232413719761670400
- 138131214480 cubed (1381312144803) is 2635575675867772493908505467392000
-
The
square root of 138131214480 is 371660.0792121747 -
The
cube root of 138131214480 is 5169.2865847623
Scales and comparisons
How big is 138131214480?- 138,131,214,480 seconds is equal to 4,392 years, 7 weeks, 3 days, 21 hours, 48 minutes.
-
To count from 1 to 138,131,214,480 would take you about eight thousand, seven hundred eighty-four 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 138131214480 cubic inches would be around 430.8 feet tall.
Recreational maths with 138131214480
- 138131214480 backwards is 084412131831
- 138131214480 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138131214480's digits is 36
- More coming soon!
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