138309140480
138,309,140,480 is an even composite number composed of five prime numbers multiplied together.
138309140480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138309140480:
217 × 5 × 72 × 59 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 59 × 73)See below for interesting mathematical facts about the number 138309140480 from the Numbermatics database.
Names of 138309140480
- Cardinal: 138309140480 can be written as One hundred thirty-eight billion, three hundred nine million, one hundred forty thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3830914048 × 1011
Factors of 138309140480
Divisors of 138309140480
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 59 64 70 73 80 98 112 118 128 140 146 160 196 224 236 245 256 280 292 295 320 365 392 413 448 472 490 511 512 560 584 590 640 730 784 826 896 944 980 1022 1024 1120 1168 1180 1280 1460 1568 1652 1792 1888 1960 2044 2048 2065 2240 2336 2360 2555 2560 2891 2920 3136 3304 3577 3584 3776 3920 4088 4096 4130 4307 4480 4672 4720 5110 5120 5782 5840 6272 6608 7154 7168 7552 7840 8176 8192 8260 8614 8960 9344 9440 10220 10240 11564 11680 12544 13216 14308 14336 14455 15104 15680 16352 16384 16520 17228 17885 17920 18688 18880 20440 20480 21535 23128 23360 25088 26432 28616 28672 28910 30149 30208 31360 32704 32768 33040 34456 35770 35840 37376 37760 40880 40960 43070 46256 46720 50176 52864 57232 57344 57820 60298 60416 62720 65408 65536 66080 68912 71540 71680 74752 75520 81760 81920 86140 92512 93440 100352 105728 114464 114688 115640 120596 120832 125440 130816 131072 132160 137824 143080 143360 149504 150745 151040 163520 163840 172280 185024 186880 200704 211043 211456 228928 229376 231280 241192 241664 250880 261632 264320 275648 286160 286720 299008 301490 302080 327040 327680 344560 370048 373760 401408 422086 422912 457856 458752 462560 482384 483328 501760 523264 528640 551296 572320 573440 598016 602980 604160 654080 655360 689120 740096 747520 802816 844172 845824 915712 917504 925120 964768 966656 1003520 1046528 1055215 1057280 1102592 1144640 1146880 1196032 1205960 1208320 1308160 1378240 1480192 1495040 1605632 1688344 1691648 1831424 1850240 1929536 1933312 2007040 2093056 2110430 2114560 2205184 2289280 2293760 2392064 2411920 2416640 2616320 2756480 2960384 2990080 3211264 3376688 3383296 3662848 3700480 3859072 3866624 4014080 4186112 4220860 4229120 4410368 4578560 4587520 4784128 4823840 4833280 5232640 5512960 5920768 5980160 6422528 6753376 6766592 7325696 7400960 7718144 7733248 8028160 8372224 8441720 8458240 8820736 9157120 9568256 9647680 9666560 10465280 11025920 11841536 11960320 13506752 13533184 14651392 14801920 15436288 16056320 16744448 16883440 16916480 17641472 18314240 19295360 19333120 20930560 22051840 23683072 23920640 27013504 27066368 29302784 29603840 30872576 32112640 33488896 33766880 33832960 35282944 36628480 38590720 38666240 41861120 44103680 47366144 47841280 54027008 54132736 58605568 59207680 61745152 66977792 67533760 67665920 70565888 73256960 77181440 83722240 88207360 94732288 108054016 117211136 118415360 123490304 135067520 135331840 141131776 146513920 154362880 167444480 176414720 189464576 216108032 234422272 236830720 246980608 270135040 270663680 282263552 293027840 308725760 334888960 352829440 378929152 432216064 468844544 473661440 493961216 540270080 564527104 586055680 617451520 705658880 864432128 947322880 987922432 1080540160 1172111360 1234903040 1411317760 1728864256 1894645760 1975844864 2161080320 2344222720 2469806080 2822635520 3457728512 3951689728 4322160640 4939612160 6915457024 8644321280 9879224320 13830914048 17288642560 19758448640 27661828096 34577285120 69154570240 138309140480
- Sum of all divisors σ(n): 398058902640
- Sum of proper divisors (its aliquot sum) s(n): 259749762160
- 138309140480 is an abundant number, because the sum of its proper divisors (259749762160) is greater than itself. Its abundance is 121440621680
Bases of 138309140480
- Binary: 100000001100111101111000000000000000002
- Hexadecimal: 0x2033DE0000
- Base-36: 1RJDOVSW
Squares and roots of 138309140480
- 138309140480 squared (1383091404802) is 19129418340316374630400
- 138309140480 cubed (1383091404803) is 2645773408531505906400301678592000
-
The
square root of 138309140480 is 371899.3687545063 -
The
cube root of 138309140480 is 5171.5051416187
Scales and comparisons
How big is 138309140480?- 138,309,140,480 seconds is equal to 4,397 years, 41 weeks, 5 days, 5 hours, 41 minutes, 20 seconds.
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To count from 1 to 138,309,140,480 would take you about eight thousand, seven hundred ninety-five 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 138309140480 cubic inches would be around 431 feet tall.
Recreational maths with 138309140480
- 138309140480 backwards is 084041903831
- The number of decimal digits it has is: 12
- The sum of 138309140480's digits is 41
- More coming soon!
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