42414031994880
42,414,031,994,880 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42414031994880 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2048 divisors.
42414031994880 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 42414031994880:
215 × 3 × 5 × 7 × 133 × 31 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 13 × 13 × 13 × 31 × 181)See below for interesting mathematical facts about the number 42414031994880 from the Numbermatics database.
Names of 42414031994880
- Cardinal: 42414031994880 can be written as Forty-two trillion, four hundred fourteen billion, thirty-one million, nine hundred ninety-four thousand, eight hundred eighty.
Scientific notation
- Scientific notation: 4.241403199488 × 1013
Factors of 42414031994880
Divisors of 42414031994880
- Number of divisors d(n): 2048
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 31 32 35 39 40 42 48 52 56 60 62 64 65 70 78 80 84 91 93 96 104 105 112 120 124 128 130 140 155 156 160 168 169 181 182 186 192 195 208 210 217 224 240 248 256 260 273 280 310 312 320 336 338 362 364 372 384 390 403 416 420 434 448 455 465 480 496 507 512 520 543 546 560 620 624 640 651 672 676 724 728 744 768 780 806 832 840 845 868 896 905 910 930 960 992 1014 1024 1040 1085 1086 1092 1120 1183 1209 1240 1248 1267 1280 1302 1344 1352 1365 1448 1456 1488 1536 1560 1612 1664 1680 1690 1736 1792 1810 1820 1860 1920 1984 2015 2028 2048 2080 2170 2172 2184 2197 2240 2353 2366 2418 2480 2496 2534 2535 2560 2604 2688 2704 2715 2730 2821 2896 2912 2976 3072 3120 3224 3255 3328 3360 3380 3472 3549 3584 3620 3640 3720 3801 3840 3968 4030 4056 4096 4160 4340 4344 4368 4394 4480 4706 4732 4836 4960 4992 5068 5070 5120 5208 5239 5376 5408 5430 5460 5611 5642 5792 5824 5915 5952 6045 6144 6240 6335 6448 6510 6591 6656 6720 6760 6944 7059 7098 7168 7240 7280 7440 7602 7680 7936 8060 8112 8192 8320 8463 8680 8688 8736 8788 8960 9412 9464 9672 9920 9984 10136 10140 10240 10416 10478 10752 10816 10860 10920 10985 11222 11284 11584 11648 11765 11830 11904 12090 12288 12480 12670 12896 13020 13182 13312 13440 13520 13888 14105 14118 14196 14336 14480 14560 14880 15204 15360 15379 15717 15872 16120 16224 16384 16471 16640 16833 16926 17360 17376 17472 17576 17745 17920 18824 18928 19005 19344 19840 19968 20272 20280 20480 20832 20956 21504 21632 21720 21840 21970 22444 22568 23168 23296 23530 23660 23808 24180 24576 24960 25340 25792 26040 26195 26364 26624 26880 27040 27776 28055 28210 28236 28392 28672 28960 29120 29760 30408 30589 30720 30758 31434 31744 32240 32448 32768 32942 32955 33280 33666 33852 34720 34752 34944 35152 35295 35490 35840 36673 37648 37856 38010 38688 39277 39680 39936 40544 40560 40960 41664 41912 42315 43008 43264 43440 43680 43940 44888 45136 46137 46336 46592 47060 47320 47616 48360 49152 49413 49920 50680 51584 52080 52390 52728 53248 53760 54080 55552 56110 56420 56472 56784 57344 57920 58240 59520 60816 61178 61440 61516 62868 63488 64480 64896 65884 65910 66560 67332 67704 68107 69440 69504 69888 70304 70590 70980 71680 72943 73346 75296 75712 76020 76895 77376 78554 78585 79360 79872 81088 81120 81920 82355 83328 83824 84165 84630 86016 86528 86880 87360 87880 89776 90272 91767 92274 92672 93184 94120 94640 95232 96720 98304 98826 99840 101360 103168 104160 104780 105456 106496 107520 108160 110019 111104 112220 112840 112944 113568 114688 115840 116480 117831 119040 121632 122356 122880 123032 125736 126976 128960 129792 131768 131820 133120 134664 135408 136214 138880 139008 139776 140608 141180 141960 143360 145886 146692 150592 151424 152040 152945 153790 154752 157108 157170 158720 159744 162176 162240 163840 164710 166656 167648 168330 169260 172032 173056 173760 174720 175760 179552 180544 183365 183534 184548 185344 186368 188240 189280 190464 193440 196385 197652 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1568566272 1577902976 1593075120 1608785920 1619165184 1628803072 1644464640 1673797632 1699280128 1725831380 1754095616 1781503360 1792647168 1802551296 1820657280 1830716160 1879388160 1889771520 1930543104 1942034432 1952763904 1960707840 1972378720 2023956480 2036003840 2070997656 2091421696 2092247040 2124100160 2137804032 2192619520 2231730176 2240808960 2253189120 2366854464 2390196224 2413178880 2427543040 2440954880 2443204608 2505850880 2519695360 2548920192 2575073280 2588747070 2614277120 2631143424 2672255040 2698608640 2757918720 2761330208 2789662720 2850405376 2913051648 2929145856 2958568080 2987745280 3004252160 3007021056 3054005760 3137132544 3155805952 3186150240 3217571840 3257606144 3288929280 3347595264 3398560256 3451662760 3508191232 3563006720 3585294336 3605102592 3641314560 3661432320 3758776320 3779543040 3861086208 3884068864 3905527808 3921415680 3944757440 4047912960 4072007680 4141995312 4182843392 4184494080 4248200320 4275608064 4385239040 4481617920 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105245736960 108753928192 110453208320 114016215040 116522065920 117165834240 125485301760 126232238080 132543849984 135942410240 136819458048 151478685696 155362754560 163130892288 165679812480 171024322560 176725133312 189348357120 195456368640 201971580928 203913615360 217507856384 220906416640 228032430080 233044131840 234331668480 250970603520 252464476160 265087699968 271884820480 273638916096 302957371392 326261784576 331359624960 342048645120 353450266624 378696714240 403943161856 407827230720 441812833280 456064860160 466088263680 504928952320 530175399936 543769640960 605914742784 652523569152 662719249920 684097290240 706900533248 757393428480 815654461440 883625666560 1009857904640 1060350799872 1087539281920 1211829485568 1325438499840 1368194580480 1413801066496 1514786856960 1631308922880 1767251333120 2019715809280 2120701599744 2650876999680 2827602132992 3029573713920 3262617845760 3534502666240 4241403199488 5301753999360 6059147427840 7069005332480 8482806398976 10603507998720 14138010664960 21207015997440 42414031994880
- Sum of all divisors σ(n): 174410591846400
- Sum of proper divisors (its aliquot sum) s(n): 131996559851520
- 42414031994880 is an abundant number, because the sum of its proper divisors (131996559851520) is greater than itself. Its abundance is 89582527856640
Bases of 42414031994880
- Binary: 10011010010011010010010100111110000000000000002
- Hexadecimal: 0x2693494F8000
- Base-36: F18QJJV9C
Squares and roots of 42414031994880
- 42414031994880 squared (424140319948802) is 1798950110062704312346214400
- 42414031994880 cubed (424140319948803) is 76300727525392438146869286561248182272000
-
The
square root of 42414031994880 is 6512605.6225507773 -
The
cube root of 42414031994880 is 34874.1142946071
Scales and comparisons
How big is 42414031994880?- 42,414,031,994,880 seconds is equal to 1,348,635 years, 1 week, 1 day, 2 hours, 8 minutes.
-
To count from 1 to 42,414,031,994,880 would take you about three million, three hundred seventy-one thousand, five hundred eighty-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 42414031994880 cubic inches would be around 2906.2 feet tall.
Recreational maths with 42414031994880
- 42414031994880 backwards is 08849913041424
- The number of decimal digits it has is: 14
- The sum of 42414031994880's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 42414031994880 - Facts about the integer". Numbermatics.com. 2024. Web. 13 June 2024.
APA style:
Numbermatics. (2024). Number 42414031994880 - Facts about the integer. Retrieved 13 June 2024, from https://numbermatics.com/n/42414031994880/
Chicago style:
Numbermatics. 2024. "Number 42414031994880 - Facts about the integer". https://numbermatics.com/n/42414031994880/
The information we have on file for 42414031994880 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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