135138093750
135,138,093,750 is an even composite number composed of five prime numbers multiplied together.
135138093750 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 135138093750:
2 × 32 × 56 × 113 × 192
(2 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 19 × 19)See below for interesting mathematical facts about the number 135138093750 from the Numbermatics database.
Names of 135138093750
- Cardinal: 135138093750 can be written as One hundred thirty-five billion, one hundred thirty-eight million, ninety-three thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3513809375 × 1011
Factors of 135138093750
Divisors of 135138093750
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 5 6 9 10 11 15 18 19 22 25 30 33 38 45 50 55 57 66 75 90 95 99 110 114 121 125 150 165 171 190 198 209 225 242 250 275 285 330 342 361 363 375 418 450 475 495 550 570 605 625 627 722 726 750 825 855 950 990 1045 1083 1089 1125 1210 1250 1254 1331 1375 1425 1650 1710 1805 1815 1875 1881 2090 2166 2178 2250 2299 2375 2475 2662 2750 2850 3025 3125 3135 3249 3610 3630 3750 3762 3971 3993 4125 4275 4598 4750 4950 5225 5415 5445 5625 6050 6250 6270 6498 6655 6875 6897 7125 7942 7986 8250 8550 9025 9075 9375 9405 10450 10830 10890 11250 11495 11875 11913 11979 12375 13310 13750 13794 14250 15125 15625 15675 16245 18050 18150 18750 18810 19855 19965 20625 20691 21375 22990 23750 23826 23958 24750 25289 26125 27075 27225 28125 30250 31250 31350 32490 33275 34375 34485 35625 35739 39710 39930 41250 41382 42750 43681 45125 45375 46875 47025 50578 52250 54150 54450 56250 57475 59375 59565 59895 61875 66550 68750 68970 71250 71478 75625 75867 78375 81225 87362 90250 90750 93750 94050 99275 99825 103125 103455 106875 114950 118750 119130 119790 123750 126445 130625 131043 135375 136125 140625 151250 151734 156750 162450 166375 171875 172425 178125 178695 198550 199650 206250 206910 213750 218405 225625 226875 227601 235125 252890 261250 262086 270750 272250 281250 287375 296875 297825 299475 309375 332750 343750 344850 356250 357390 378125 379335 391875 393129 406125 436810 451250 453750 455202 470250 480491 496375 499125 515625 517275 534375 574750 593750 595650 598950 618750 632225 653125 655215 676875 680625 756250 758670 783750 786258 812250 831875 862125 890625 893475 960982 992750 998250 1031250 1034550 1068750 1092025 1128125 1134375 1138005 1175625 1264450 1306250 1310430 1353750 1361250 1436875 1441473 1489125 1497375 1546875 1663750 1724250 1781250 1786950 1890625 1896675 1959375 1965645 2030625 2184050 2256250 2268750 2276010 2351250 2402455 2481875 2495625 2586375 2671875 2873750 2882946 2978250 2994750 3093750 3161125 3265625 3276075 3384375 3403125 3781250 3793350 3918750 3931290 4061250 4159375 4310625 4324419 4467375 4804910 4963750 4991250 5172750 5343750 5460125 5640625 5671875 5690025 5878125 6322250 6531250 6552150 6768750 6806250 7184375 7207365 7445625 7486875 8318750 8621250 8648838 8934750 9483375 9796875 9828225 10153125 10920250 11281250 11343750 11380050 11756250 12012275 12409375 12478125 12931875 14368750 14414730 14891250 14973750 15805625 16380375 16921875 17015625 18966750 19593750 19656450 20306250 20796875 21553125 21622095 22336875 24024550 24818750 24956250 25863750 27300625 28450125 29390625 31611250 32760750 33843750 34031250 35921875 36036825 37228125 37434375 41593750 43106250 43244190 44673750 47416875 49141125 50765625 54601250 56900250 58781250 60061375 62046875 62390625 64659375 71843750 72073650 74456250 74868750 79028125 81901875 94833750 98282250 101531250 107765625 108110475 111684375 120122750 124093750 124781250 129318750 136503125 142250625 158056250 163803750 180184125 186140625 187171875 215531250 216220950 223368750 237084375 245705625 273006250 284501250 300306875 323296875 360368250 372281250 374343750 395140625 409509375 474168750 491411250 540552375 558421875 600613750 646593750 682515625 711253125 790281250 819018750 900920625 1081104750 1116843750 1185421875 1228528125 1365031250 1422506250 1501534375 1801841250 2047546875 2370843750 2457056250 2702761875 3003068750 3556265625 4095093750 4504603125 5405523750 6142640625 7112531250 7507671875 9009206250 12285281250 13513809375 15015343750 22523015625 27027618750 45046031250 67569046875 135138093750
- Sum of all divisors σ(n): 424869092856
- Sum of proper divisors (its aliquot sum) s(n): 289730999106
- 135138093750 is an abundant number, because the sum of its proper divisors (289730999106) is greater than itself. Its abundance is 154592905356
Bases of 135138093750
- Binary: 11111011101101101101110101010101101102
- Hexadecimal: 0x1F76DBAAB6
- Base-36: 1Q2XQCHI
Squares and roots of 135138093750
- 135138093750 squared (1351380937502) is 18262304382383789062500
- 135138093750 cubed (1351380937503) is 2467933001717616334808349609375000
-
The
square root of 135138093750 is 367611.3351761613 -
The
cube root of 135138093750 is 5131.6764068483
Scales and comparisons
How big is 135138093750?- 135,138,093,750 seconds is equal to 4,296 years, 50 weeks, 4 days, 7 hours, 22 minutes, 30 seconds.
-
To count from 1 to 135,138,093,750 would take you about eight thousand, five hundred ninety-three 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 135138093750 cubic inches would be around 427.6 feet tall.
Recreational maths with 135138093750
- 135138093750 backwards is 057390831531
- 135138093750 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 135138093750's digits is 45
- More coming soon!
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