42688214281440
42,688,214,281,440 is an even composite number composed of nine prime numbers multiplied together.
What does the number 42688214281440 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 3456 divisors.
42688214281440 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 42688214281440:
25 × 32 × 5 × 72 × 13 × 17 × 37 × 241 × 307
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 13 × 17 × 37 × 241 × 307)See below for interesting mathematical facts about the number 42688214281440 from the Numbermatics database.
Names of 42688214281440
- Cardinal: 42688214281440 can be written as Forty-two trillion, six hundred eighty-eight billion, two hundred fourteen million, two hundred eighty-one thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.268821428144 × 1013
Factors of 42688214281440
Divisors of 42688214281440
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 17 18 20 21 24 26 28 30 32 34 35 36 37 39 40 42 45 48 49 51 52 56 60 63 65 68 70 72 74 78 80 84 85 90 91 96 98 102 104 105 111 112 117 119 120 126 130 136 140 144 147 148 153 156 160 168 170 180 182 185 195 196 204 208 210 221 222 224 234 238 240 241 245 252 255 259 260 272 273 280 288 294 296 306 307 312 315 333 336 340 357 360 364 370 390 392 408 416 420 441 442 444 455 468 476 480 481 482 490 504 510 518 520 544 546 555 560 585 588 592 595 612 614 624 629 630 637 663 666 672 680 714 720 723 728 735 740 765 777 780 784 816 819 833 840 882 884 888 910 921 936 952 962 964 980 1008 1020 1036 1040 1071 1092 1105 1110 1120 1170 1176 1184 1190 1205 1224 1228 1248 1258 1260 1274 1295 1326 1332 1360 1365 1428 1440 1443 1446 1456 1470 1480 1530 1535 1547 1554 1560 1568 1632 1638 1665 1666 1680 1687 1764 1768 1776 1785 1813 1820 1842 1872 1887 1904 1911 1924 1928 1960 1989 2016 2040 2072 2080 2142 2149 2169 2184 2205 2210 2220 2331 2340 2352 2380 2405 2410 2448 2456 2499 2516 2520 2548 2590 2652 2664 2720 2730 2763 2856 2886 2892 2912 2940 2960 3060 3070 3094 3108 3120 3133 3145 3185 3276 3315 3330 3332 3360 3367 3374 3528 3536 3552 3570 3615 3626 3640 3684 3744 3774 3808 3822 3848 3856 3885 3920 3978 3991 4080 4095 4097 4144 4165 4284 4298 4329 4338 4368 4403 4410 4420 4440 4605 4641 4662 4680 4704 4760 4810 4820 4896 4912 4998 5032 5040 5061 5096 5180 5219 5304 5328 5355 5439 5460 5526 5661 5712 5733 5772 5784 5880 5920 6120 6140 6188 6216 6240 6266 6290 6370 6447 6552 6630 6660 6664 6734 6748 7056 7072 7140 7215 7230 7252 7280 7368 7497 7548 7644 7696 7712 7735 7770 7840 7956 7982 8160 8177 8190 8194 8288 8330 8435 8568 8596 8658 8676 8736 8806 8820 8840 8880 8917 9065 9210 9282 9324 9360 9399 9435 9520 9555 9620 9640 9824 9945 9996 10064 10080 10101 10122 10192 10360 10438 10608 10656 10710 10745 10829 10845 10878 10920 11052 11322 11359 11424 11466 11544 11568 11655 11760 11809 11973 12240 12280 12291 12376 12432 12495 12532 12580 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364856532320 381144770370 384578507040 406554421728 410463598860 418511904720 435594023280 444668898765 469101255840 474313492016 502214285664 508193027160 533602678518 547284798480 576867760560 592891865020 609831632592 627767857080 656741758176 677590702880 711470238024 762289540740 820927197720 837023809440 871188046560 889337797530 948626984032 1016386054320 1067205357036 1094569596960 1153735521120 1185783730040 1219663265184 1255535714160 1334006696295 1422940476048 1524579081480 1641854395440 1778675595060 2032772108640 2134410714072 2371567460080 2511071428320 2668013392590 2845880952096 3049158162960 3283708790880 3557351190120 4268821428144 4743134920160 5336026785180 6098316325920 7114702380240 8537642856288 10672053570360 14229404760480 21344107140720 42688214281440
- Sum of all divisors σ(n): 199921834240128
- Sum of proper divisors (its aliquot sum) s(n): 157233619958688
- 42688214281440 is an abundant number, because the sum of its proper divisors (157233619958688) is greater than itself. Its abundance is 114545405677248
Bases of 42688214281440
- Binary: 10011011010011000111111101100100101100111000002
- Hexadecimal: 0x26D31FD92CE0
- Base-36: F4QP0LTK0
Squares and roots of 42688214281440
- 42688214281440 squared (426882142814402) is 1822283638538137975528473600
- 42688214281440 cubed (426882142814403) is 77790034443478188291059795962884009984000
-
The
square root of 42688214281440 is 6533621.8348967825 -
The
cube root of 42688214281440 is 34949.0999667775
Scales and comparisons
How big is 42688214281440?- 42,688,214,281,440 seconds is equal to 1,357,353 years, 8 weeks, 6 days, 4 hours, 24 minutes.
-
To count from 1 to 42,688,214,281,440 would take you about three million, three hundred ninety-three thousand, three hundred eighty-two 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 42688214281440 cubic inches would be around 2912.4 feet tall.
Recreational maths with 42688214281440
- 42688214281440 backwards is 04418241288624
- The number of decimal digits it has is: 14
- The sum of 42688214281440's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42688214281440 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 42688214281440 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/42688214281440/
Chicago style:
Numbermatics. 2024. "Number 42688214281440 - Facts about the integer". https://numbermatics.com/n/42688214281440/
The information we have on file for 42688214281440 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 42688214281440, math, Factors of 42688214281440, curriculum, school, college, exams, university, Prime factorization of 42688214281440, STEM, science, technology, engineering, physics, economics, calculator, forty-two trillion, six hundred eighty-eight billion, two hundred fourteen million, two hundred eighty-one thousand, four hundred forty.