42122686919040
42,122,686,919,040 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42122686919040 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2880 divisors.
42122686919040 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 42122686919040:
27 × 34 × 5 × 7 × 132 × 73 × 972
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 13 × 13 × 73 × 97 × 97)See below for interesting mathematical facts about the number 42122686919040 from the Numbermatics database.
Names of 42122686919040
- Cardinal: 42122686919040 can be written as Forty-two trillion, one hundred twenty-two billion, six hundred eighty-six million, nine hundred nineteen thousand and forty.
Scientific notation
- Scientific notation: 4.212268691904 × 1013
Factors of 42122686919040
Divisors of 42122686919040
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 26 27 28 30 32 35 36 39 40 42 45 48 52 54 56 60 63 64 65 70 72 73 78 80 81 84 90 91 96 97 104 105 108 112 117 120 126 128 130 135 140 144 146 156 160 162 168 169 180 182 189 192 194 195 208 210 216 219 224 234 240 252 260 270 273 280 288 291 292 312 315 320 324 336 338 351 360 364 365 378 384 388 390 405 416 420 432 438 448 455 468 480 485 504 507 511 520 540 546 560 567 576 582 584 585 624 630 640 648 657 672 676 679 702 720 728 730 756 776 780 810 819 832 840 845 864 873 876 896 910 936 945 949 960 970 1008 1014 1022 1040 1053 1080 1092 1095 1120 1134 1152 1164 1168 1170 1183 1248 1260 1261 1296 1314 1344 1352 1358 1365 1404 1440 1455 1456 1460 1512 1521 1533 1552 1560 1620 1638 1664 1680 1690 1728 1746 1752 1755 1820 1872 1890 1898 1920 1940 1971 2016 2028 2037 2044 2080 2106 2160 2184 2190 2240 2268 2328 2336 2340 2366 2457 2496 2520 2522 2535 2555 2592 2619 2628 2688 2704 2716 2730 2808 2835 2847 2880 2910 2912 2920 3024 3042 3066 3104 3120 3240 3276 3285 3360 3380 3395 3456 3492 3504 3510 3549 3640 3744 3780 3783 3796 3880 3942 4032 4056 4074 4088 4095 4160 4212 4320 4365 4368 4380 4480 4536 4563 4599 4656 4672 4680 4732 4745 4914 4992 5040 5044 5070 5110 5184 5238 5256 5265 5408 5432 5460 5616 5670 5694 5760 5820 5824 5840 5913 5915 6048 6084 6111 6132 6208 6240 6305 6480 6552 6570 6643 6720 6760 6790 6984 7008 7020 7081 7098 7280 7371 7488 7560 7566 7592 7605 7665 7760 7857 7884 8064 8112 8148 8176 8190 8320 8424 8541 8640 8730 8736 8760 8827 9072 9126 9198 9312 9344 9360 9409 9464 9490 9828 9855 10080 10088 10140 10185 10220 10368 10476 10512 10530 10647 10816 10864 10920 11232 11340 11349 11388 11640 11648 11680 11826 11830 12096 12168 12222 12264 12285 12337 12416 12480 12610 12960 13095 13104 13140 13286 13440 13520 13580 13689 13797 13968 14016 14040 14162 14196 14235 14560 14742 14976 15120 15132 15184 15210 15330 15520 15714 15768 16224 16296 16352 16380 16393 16848 17082 17280 17460 17472 17520 17654 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216013779072 217127252160 219388994370 222871359360 231443334720 234014927328 249246668160 250730279280 260016585920 263266793244 270017223840 288511554240 292518659160 300876335136 312019903104 324020668608 329083491555 334307039040 351022390992 360022965120 376095418920 390024878880 401168446848 405025835760 434254504320 438777988740 462886669440 468029854656 501460558560 520033171840 526533586488 540034447680 577023108480 585037318320 601752670272 648041337216 658166983110 668614078080 702044781984 752190837840 780049757760 810051671520 877555977480 936059709312 1002921117120 1053067172976 1080068895360 1170074636640 1203505340544 1316333966220 1404089563968 1504381675680 1560099515520 1620103343040 1755111954960 2005842234240 2106134345952 2340149273280 2632667932440 2808179127936 3008763351360 3240206686080 3510223909920 4212268691904 4680298546560 5265335864880 6017526702720 7020447819840 8424537383808 10530671729760 14040895639680 21061343459520 42122686919040
- Sum of all divisors σ(n): 190674708665760
- Sum of proper divisors (its aliquot sum) s(n): 148552021746720
- 42122686919040 is an abundant number, because the sum of its proper divisors (148552021746720) is greater than itself. Its abundance is 106429334827680
Bases of 42122686919040
- Binary: 10011001001111011100111100101001110001100000002
- Hexadecimal: 0x264F73CA7180
- Base-36: EXIW87S00
Squares and roots of 42122686919040
- 42122686919040 squared (421226869190402) is 1774320753279463527514521600
- 42122686919040 cubed (421226869190403) is 74739157584346057511904714123963531264000
-
The
square root of 42122686919040 is 6490199.2973282415 -
The
cube root of 42122686919040 is 34794.0798157439
Scales and comparisons
How big is 42122686919040?- 42,122,686,919,040 seconds is equal to 1,339,371 years, 7 weeks, 5 days, 14 hours, 24 minutes.
-
To count from 1 to 42,122,686,919,040 would take you about three million, three hundred forty-eight thousand, four hundred twenty-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 42122686919040 cubic inches would be around 2899.5 feet tall.
Recreational maths with 42122686919040
- 42122686919040 backwards is 04091968622124
- 42122686919040 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42122686919040's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 42122686919040 - Facts about the integer". Numbermatics.com. 2024. Web. 14 May 2024.
APA style:
Numbermatics. (2024). Number 42122686919040 - Facts about the integer. Retrieved 14 May 2024, from https://numbermatics.com/n/42122686919040/
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The information we have on file for 42122686919040 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!
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