34139148288
34,139,148,288 is an even composite number composed of five prime numbers multiplied together.
34139148288 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred sixty-eight divisors.
Prime factorization of 34139148288:
212 × 3 × 72 × 312 × 59
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 31 × 31 × 59)See below for interesting mathematical facts about the number 34139148288 from the Numbermatics database.
Names of 34139148288
- Cardinal: 34139148288 can be written as Thirty-four billion, one hundred thirty-nine million, one hundred forty-eight thousand, two hundred eighty-eight.
Scientific notation
- Scientific notation: 3.4139148288 × 1010
Factors of 34139148288
Divisors of 34139148288
- Number of divisors d(n): 468
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 49 56 59 62 64 84 93 96 98 112 118 124 128 147 168 177 186 192 196 217 224 236 248 256 294 336 354 372 384 392 413 434 448 472 496 512 588 651 672 708 744 768 784 826 868 896 944 961 992 1024 1176 1239 1302 1344 1416 1488 1519 1536 1568 1652 1736 1792 1829 1888 1922 1984 2048 2352 2478 2604 2688 2832 2883 2891 2976 3038 3072 3136 3304 3472 3584 3658 3776 3844 3968 4096 4557 4704 4956 5208 5376 5487 5664 5766 5782 5952 6076 6144 6272 6608 6727 6944 7168 7316 7552 7688 7936 8673 9114 9408 9912 10416 10752 10974 11328 11532 11564 11904 12152 12288 12544 12803 13216 13454 13888 14336 14632 15104 15376 15872 17346 18228 18816 19824 20181 20832 21504 21948 22656 23064 23128 23808 24304 25088 25606 26432 26908 27776 28672 29264 30208 30752 31744 34692 36456 37632 38409 39648 40362 41664 43008 43896 45312 46128 46256 47089 47616 48608 50176 51212 52864 53816 55552 56699 58528 60416 61504 63488 69384 72912 75264 76818 79296 80724 83328 86016 87792 89621 90624 92256 92512 94178 95232 97216 100352 102424 105728 107632 111104 113398 117056 120832 123008 126976 138768 141267 145824 150528 153636 158592 161448 166656 170097 175584 179242 181248 184512 185024 188356 190464 194432 200704 204848 211456 215264 222208 226796 234112 241664 246016 268863 277536 282534 291648 301056 307272 317184 322896 333312 340194 351168 358484 362496 369024 370048 376712 380928 388864 396893 409696 422912 430528 444416 453592 468224 492032 537726 555072 565068 583296 602112 614544 634368 645792 666624 680388 702336 716968 724992 738048 740096 753424 777728 793786 819392 845824 861056 888832 907184 936448 984064 1075452 1110144 1130136 1166592 1190679 1229088 1268736 1291584 1333248 1360776 1404672 1433936 1476096 1480192 1506848 1555456 1587572 1638784 1691648 1722112 1814368 1872896 1968128 2150904 2220288 2260272 2333184 2381358 2458176 2537472 2583168 2666496 2721552 2778251 2809344 2867872 2952192 2960384 3013696 3110912 3175144 3277568 3444224 3628736 3745792 3936256 4301808 4440576 4520544 4666368 4762716 4916352 5074944 5166336 5443104 5556502 5618688 5735744 5904384 5920768 6027392 6221824 6350288 6555136 6888448 7257472 7491584 8334753 8603616 8881152 9041088 9332736 9525432 9832704 10332672 10886208 11113004 11237376 11471488 11808768 11841536 12054784 12700576 13110272 13776896 14514944 16669506 17207232 17762304 18082176 18665472 19050864 19665408 20665344 21772416 22226008 22474752 22942976 24109568 25401152 26220544 27553792 29029888 33339012 34414464 35524608 36164352 38101728 39330816 41330688 43544832 44452016 45885952 48219136 50802304 52441088 58059776 66678024 68828928 72328704 76203456 78661632 82661376 87089664 88904032 91771904 96438272 101604608 116119552 133356048 137657856 144657408 152406912 157323264 174179328 177808064 183543808 192876544 203209216 232239104 266712096 275315712 289314816 304813824 348358656 355616128 367087616 406418432 533424192 550631424 578629632 609627648 696717312 711232256 812836864 1066848384 1101262848 1219255296 1422464512 1625673728 2133696768 2438510592 2844929024 4267393536 4877021184 5689858048 8534787072 11379716096 17069574144 34139148288
- Sum of all divisors σ(n): 111268509840
- Sum of proper divisors (its aliquot sum) s(n): 77129361552
- 34139148288 is an abundant number, because the sum of its proper divisors (77129361552) is greater than itself. Its abundance is 42990213264
Bases of 34139148288
- Binary: 111111100101101101000010000000000002
- Hexadecimal: 0x7F2DA1000
- Base-36: FOLKFEO
Squares and roots of 34139148288
- 34139148288 squared (341391482882) is 1165481445830053330944
- 34139148288 cubed (341391482883) is 39788543906104829912045555023872
-
The
square root of 34139148288 is 184767.8226531881 -
The
cube root of 34139148288 is 3244.0252607675
Scales and comparisons
How big is 34139148288?- 34,139,148,288 seconds is equal to 1,085 years, 27 weeks, 44 minutes, 48 seconds.
-
To count from 1 to 34,139,148,288 would take you about two thousand, one hundred seventy-one 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 34139148288 cubic inches would be around 270.3 feet tall.
Recreational maths with 34139148288
- 34139148288 backwards is 88284193143
- The number of decimal digits it has is: 11
- The sum of 34139148288's digits is 51
- More coming soon!
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