42221235168000
42,221,235,168,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42221235168000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3456 divisors.
42221235168000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 42221235168000:
28 × 32 × 53 × 7 × 19 × 313 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 19 × 31 × 31 × 31 × 37)See below for interesting mathematical facts about the number 42221235168000 from the Numbermatics database.
Names of 42221235168000
- Cardinal: 42221235168000 can be written as Forty-two trillion, two hundred twenty-one billion, two hundred thirty-five million, one hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.2221235168 × 1013
Factors of 42221235168000
Divisors of 42221235168000
- 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 14 15 16 18 19 20 21 24 25 28 30 31 32 35 36 37 38 40 42 45 48 50 56 57 60 62 63 64 70 72 74 75 76 80 84 90 93 95 96 100 105 111 112 114 120 124 125 126 128 133 140 144 148 150 152 155 160 168 171 175 180 185 186 190 192 200 210 217 222 224 225 228 240 248 250 252 256 259 266 279 280 285 288 296 300 304 310 315 320 333 336 342 350 360 370 372 375 380 384 399 400 420 434 444 448 450 456 465 475 480 496 500 504 518 525 532 555 558 560 570 576 589 592 600 608 620 630 640 651 665 666 672 684 700 703 720 740 744 750 760 768 775 777 798 800 840 855 868 875 888 896 900 912 925 930 950 960 961 992 1000 1008 1036 1050 1064 1085 1110 1116 1120 1125 1140 1147 1152 1178 1184 1197 1200 1216 1240 1260 1280 1295 1302 1330 1332 1344 1368 1395 1400 1406 1425 1440 1480 1488 1500 1520 1550 1554 1575 1596 1600 1665 1680 1710 1736 1750 1767 1776 1792 1800 1824 1850 1860 1900 1920 1922 1953 1984 1995 2000 2016 2072 2100 2109 2128 2170 2220 2232 2240 2250 2280 2294 2304 2325 2331 2356 2368 2375 2394 2400 2432 2480 2520 2590 2604 2625 2660 2664 2688 2736 2775 2790 2800 2812 2850 2880 2883 2945 2960 2976 3000 3040 3100 3108 3150 3192 3200 3255 3325 3330 3360 3420 3441 3472 3500 3515 3534 3552 3600 3648 3700 3720 3800 3840 3844 3875 3885 3906 3968 3990 4000 4032 4123 4144 4200 4218 4256 4275 4340 4440 4464 4480 4500 4560 4588 4625 4650 4662 4712 4736 4750 4788 4800 4805 4864 4921 4960 5040 5180 5208 5250 5301 5320 5328 5376 5425 5472 5550 5580 5600 5624 5700 5735 5760 5766 5890 5920 5952 5985 6000 6080 6200 6216 6300 6327 6384 6400 6475 6510 6650 6660 6720 6727 6840 6882 6944 6975 7000 7030 7068 7104 7125 7200 7296 7400 7440 7600 7688 7750 7770 7812 7875 7936 7980 8000 8029 8064 8246 8288 8325 8400 8436 8512 8550 8649 8680 8835 8880 8928 8960 9000 9120 9176 9250 9300 9324 9424 9472 9500 9576 9600 9610 9765 9842 9920 9975 10080 10323 10360 10416 10500 10545 10602 10640 10656 10850 10944 11100 11160 11200 11248 11400 11470 11520 11532 11625 11655 11780 11840 11904 11970 12000 12160 12369 12400 12432 12600 12654 12768 12950 13020 13300 13320 13440 13454 13680 13764 13875 13888 13950 14000 14060 14136 14208 14250 14400 14415 14592 14725 14763 14800 14880 15200 15376 15500 15540 15624 15750 15960 16000 16058 16128 16275 16492 16576 16625 16650 16800 16872 17024 17100 17205 17298 17360 17575 17670 17760 17856 18000 18240 18259 18352 18500 18600 18648 18848 19000 19152 19200 19220 19425 19530 19684 19840 19950 20160 20181 20615 20646 20720 20832 21000 21090 21204 21280 21312 21375 21700 21793 21888 22200 22320 22400 22496 22800 22940 23064 23250 23310 23560 23680 23808 23940 24000 24025 24087 24320 24605 24738 24800 24864 25200 25308 25536 25900 26040 26505 26600 26640 26880 26908 27125 27360 27528 27750 27776 27900 28000 28120 28272 28416 28500 28675 28800 28830 29450 29526 29600 29760 29791 29925 30400 30752 31000 31080 31248 31500 31635 31920 32000 32116 32375 32550 32984 33152 33250 33300 33600 33635 33744 34048 34200 34410 34596 34720 34875 35150 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71319654000 71682912000 73300755500 74072342400 75395062800 75665296000 76074297600 79363224000 80421400320 81508176000 83772292000 84442470336 85123458000 87960906600 88886810880 90798355200 92590428000 93824967040 94243828500 95092872000 97283952000 100526750400 105553087920 105817632000 109951133250 111108513600 112589960448 113497944000 114111446400 117281208800 120632100480 123453904000 125658438000 126790496000 131941359900 134035667200 136197532800 138885642000 140737450560 142639308000 146601511000 148144684800 150790125600 151330592000 158726448000 163016352000 164926699875 167544584000 168884940672 170246916000 175921813200 185180856000 187649934080 188487657000 190185744000 194567904000 201053500800 211106175840 219902266500 222217027200 226995888000 228222892800 234562417600 241264200960 246907808000 251316876000 263882719800 272395065600 277771284000 281474901120 285278616000 293203022000 301580251200 317452896000 329853399750 335089168000 337769881344 340493832000 351843626400 370361712000 376975314000 380371488000 402107001600 422212351680 439804533000 444434054400 453991776000 469124835200 502633752000 527765439600 555542568000 562949802240 570557232000 586406044000 603160502400 659706799500 670178336000 680987664000 703687252800 740723424000 753950628000 844424703360 879609066000 938249670400 1005267504000 1055530879200 1111085136000 1141114464000 1172812088000 1206321004800 1319413599000 1361975328000 1407374505600 1507901256000 1688849406720 1759218132000 2010535008000 2111061758400 2222170272000 2345624176000 2638827198000 2814749011200 3015802512000 3518436264000 4222123516800 4691248352000 5277654396000 6031605024000 7036872528000 8444247033600 10555308792000 14073745056000 21110617584000 42221235168000
- Sum of all divisors σ(n): 193962369269760
- Sum of proper divisors (its aliquot sum) s(n): 151741134101760
- 42221235168000 is an abundant number, because the sum of its proper divisors (151741134101760) is greater than itself. Its abundance is 109519898933760
Bases of 42221235168000
- Binary: 10011001100110011001011011100101100011000000002
- Hexadecimal: 0x266665B96300
- Base-36: EYS61ARK0
Squares and roots of 42221235168000
- 42221235168000 squared (422212351680002) is 1782632699111559988224000000
- 42221235168000 cubed (422212351680003) is 75264954407355758930144814661632000000000
-
The
square root of 42221235168000 is 6497786.9438755839 -
The
cube root of 42221235168000 is 34821.1928778755
Scales and comparisons
How big is 42221235168000?- 42,221,235,168,000 seconds is equal to 1,342,504 years, 35 weeks, 2 days, 8 hours.
-
To count from 1 to 42,221,235,168,000 would take you about three million, three hundred fifty-six thousand, two hundred sixty-one 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 42221235168000 cubic inches would be around 2901.8 feet tall.
Recreational maths with 42221235168000
- 42221235168000 backwards is 00086153212224
- 42221235168000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42221235168000's digits is 36
- More coming soon!
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"Number 42221235168000 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
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Numbermatics. (2024). Number 42221235168000 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/42221235168000/
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The information we have on file for 42221235168000 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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