42144184320
42,144,184,320 is an even composite number composed of six prime numbers multiplied together.
42144184320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 42144184320:
211 × 3 × 5 × 7 × 23 × 8521
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 23 × 8521)See below for interesting mathematical facts about the number 42144184320 from the Numbermatics database.
Names of 42144184320
- Cardinal: 42144184320 can be written as Forty-two billion, one hundred forty-four million, one hundred eighty-four thousand, three hundred twenty.
Scientific notation
- Scientific notation: 4.214418432 × 1010
Factors of 42144184320
Divisors of 42144184320
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 23 24 28 30 32 35 40 42 46 48 56 60 64 69 70 80 84 92 96 105 112 115 120 128 138 140 160 161 168 184 192 210 224 230 240 256 276 280 320 322 336 345 368 384 420 448 460 480 483 512 552 560 640 644 672 690 736 768 805 840 896 920 960 966 1024 1104 1120 1280 1288 1344 1380 1472 1536 1610 1680 1792 1840 1920 1932 2048 2208 2240 2415 2560 2576 2688 2760 2944 3072 3220 3360 3584 3680 3840 3864 4416 4480 4830 5120 5152 5376 5520 5888 6144 6440 6720 7168 7360 7680 7728 8521 8832 8960 9660 10240 10304 10752 11040 11776 12880 13440 14336 14720 15360 15456 17042 17664 17920 19320 20608 21504 22080 23552 25563 25760 26880 29440 30720 30912 34084 35328 35840 38640 41216 42605 43008 44160 47104 51126 51520 53760 58880 59647 61824 68168 70656 71680 77280 82432 85210 88320 102252 103040 107520 117760 119294 123648 127815 136336 141312 154560 164864 170420 176640 178941 195983 204504 206080 215040 235520 238588 247296 255630 272672 298235 309120 329728 340840 353280 357882 391966 409008 412160 477176 494592 511260 545344 587949 596470 618240 681680 706560 715764 783932 818016 824320 894705 954352 979915 989184 1022520 1090688 1175898 1192940 1236480 1363360 1371881 1431528 1567864 1636032 1648640 1789410 1908704 1959830 2045040 2181376 2351796 2385880 2472960 2726720 2743762 2863056 2939745 3135728 3272064 3578820 3817408 3919660 4090080 4115643 4362752 4703592 4771760 4945920 5453440 5487524 5726112 5879490 6271456 6544128 6859405 7157640 7634816 7839320 8180160 8231286 8725504 9407184 9543520 10906880 10975048 11452224 11758980 12542912 13088256 13718810 14315280 15269632 15678640 16360320 16462572 17451008 18814368 19087040 20578215 21813760 21950096 22904448 23517960 25085824 26176512 27437620 28630560 30539264 31357280 32720640 32925144 37628736 38174080 41156430 43627520 43900192 45808896 47035920 50171648 52353024 54875240 57261120 61078528 62714560 65441280 65850288 75257472 76348160 82312860 87255040 87800384 91617792 94071840 100343296 109750480 114522240 122157056 125429120 130882560 131700576 150514944 152696320 164625720 175600768 183235584 188143680 200686592 219500960 229044480 250858240 261765120 263401152 301029888 305392640 329251440 351201536 366471168 376287360 401373184 439001920 458088960 501716480 526802304 602059776 610785280 658502880 702403072 752574720 878003840 916177920 1003432960 1053604608 1204119552 1317005760 1404806144 1505149440 1756007680 1832355840 2006865920 2107209216 2634011520 2809612288 3010298880 3512015360 4214418432 5268023040 6020597760 7024030720 8428836864 10536046080 14048061440 21072092160 42144184320
- Sum of all divisors σ(n): 160808094720
- Sum of proper divisors (its aliquot sum) s(n): 118663910400
- 42144184320 is an abundant number, because the sum of its proper divisors (118663910400) is greater than itself. Its abundance is 76519726080
Bases of 42144184320
- Binary: 1001110011111111110100111000000000002
- Hexadecimal: 0x9CFFD3800
- Base-36: JCZK4QO
Squares and roots of 42144184320
- 42144184320 squared (421441843202) is 1776132271998133862400
- 42144184320 cubed (421441843203) is 74853645847789728193019117568000
-
The
square root of 42144184320 is 205290.4876510355 -
The
cube root of 42144184320 is 3479.9997886115
Scales and comparisons
How big is 42144184320?- 42,144,184,320 seconds is equal to 1,340 years, 2 weeks, 5 days, 21 hours, 52 minutes.
-
To count from 1 to 42,144,184,320 would take you about two thousand, six hundred eighty 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 42144184320 cubic inches would be around 290 feet tall.
Recreational maths with 42144184320
- 42144184320 backwards is 02348144124
- The number of decimal digits it has is: 11
- The sum of 42144184320's digits is 33
- More coming soon!
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