42414917440
42,414,917,440 is an even composite number composed of six prime numbers multiplied together.
42414917440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 42414917440:
26 × 5 × 72 × 29 × 37 × 2521
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 29 × 37 × 2521)See below for interesting mathematical facts about the number 42414917440 from the Numbermatics database.
Names of 42414917440
- Cardinal: 42414917440 can be written as Forty-two billion, four hundred fourteen million, nine hundred seventeen thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.241491744 × 1010
Factors of 42414917440
Divisors of 42414917440
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 29 32 35 37 40 49 56 58 64 70 74 80 98 112 116 140 145 148 160 185 196 203 224 232 245 259 280 290 296 320 370 392 406 448 464 490 518 560 580 592 740 784 812 928 980 1015 1036 1073 1120 1160 1184 1295 1421 1480 1568 1624 1813 1856 1960 2030 2072 2146 2240 2320 2368 2521 2590 2842 2960 3136 3248 3626 3920 4060 4144 4292 4640 5042 5180 5365 5684 5920 6496 7105 7252 7511 7840 8120 8288 8584 9065 9280 10084 10360 10730 11368 11840 12605 12992 14210 14504 15022 15680 16240 16576 17168 17647 18130 20168 20720 21460 22736 25210 28420 29008 30044 32480 34336 35294 36260 37555 40336 41440 42920 45472 50420 52577 56840 58016 60088 64960 68672 70588 72520 73109 75110 80672 82880 85840 88235 90944 93277 100840 105154 113680 116032 120176 123529 141176 145040 146218 150220 161344 171680 176470 186554 201680 210308 227360 240352 247058 262885 282352 290080 292436 300440 343360 352940 365545 373108 403360 420616 454720 466385 480704 494116 511763 525770 564704 580160 584872 600880 617645 652939 705880 731090 746216 806720 841232 932770 988232 1023526 1051540 1129408 1169744 1201760 1235290 1305878 1411760 1462180 1492432 1682464 1865540 1976464 2047052 2103080 2339488 2403520 2470580 2558815 2611756 2705033 2823520 2924360 2984864 3264695 3364928 3582341 3731080 3952928 4094104 4206160 4570573 4678976 4941160 5117630 5223512 5410066 5647040 5848720 5969728 6529390 7164682 7462160 7905856 8188208 8412320 9141146 9882320 10235260 10447024 10820132 11697440 13058780 13525165 14329364 14924320 16376416 16824640 17911705 18282292 18935231 19764640 20470520 20894048 21640264 22852865 23394880 26117560 27050330 28658728 29848640 32752832 35823410 36564584 37870462 39529280 40941040 41788096 43280528 45705730 52235120 54100660 57317456 71646820 73129168 75740924 81882080 86561056 91411460 94676155 104470240 108201320 114634912 132546617 143293640 146258336 151481848 163764160 173122112 182822920 189352310 208940480 216402640 229269824 265093234 286587280 292516672 302963696 365645840 378704620 432805280 530186468 573174560 605927392 662733085 731291680 757409240 865610560 1060372936 1146349120 1211854784 1325466170 1462583360 1514818480 2120745872 2650932340 3029636960 4241491744 5301864680 6059273920 8482983488 10603729360 21207458720 42414917440
- Sum of all divisors σ(n): 124876224720
- Sum of proper divisors (its aliquot sum) s(n): 82461307280
- 42414917440 is an abundant number, because the sum of its proper divisors (82461307280) is greater than itself. Its abundance is 40046389840
Bases of 42414917440
- Binary: 1001111000000010000001000111010000002
- Hexadecimal: 0x9E0204740
- Base-36: JHGQVR4
Squares and roots of 42414917440
- 42414917440 squared (424149174402) is 1799025221442016153600
- 42414917440 cubed (424149174403) is 76305506239940832902090358784000
-
The
square root of 42414917440 is 205948.8223807069 -
The
cube root of 42414917440 is 3487.4356972937
Scales and comparisons
How big is 42414917440?- 42,414,917,440 seconds is equal to 1,348 years, 34 weeks, 3 days, 9 hours, 30 minutes, 40 seconds.
-
To count from 1 to 42,414,917,440 would take you about two thousand, six hundred ninety-seven 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 42414917440 cubic inches would be around 290.6 feet tall.
Recreational maths with 42414917440
- 42414917440 backwards is 04471941424
- 42414917440 is a
Harshad number . - The number of decimal digits it has is: 11
- The sum of 42414917440's digits is 40
- More coming soon!
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