10042421407200
10,042,421,407,200 is an even composite number composed of seven prime numbers multiplied together.
What does the number 10042421407200 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
10042421407200 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 10042421407200:
25 × 34 × 52 × 7 × 13 × 972 × 181
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 97 × 97 × 181)See below for interesting mathematical facts about the number 10042421407200 from the Numbermatics database.
Names of 10042421407200
- Cardinal: 10042421407200 can be written as Ten trillion, forty-two billion, four hundred twenty-one million, four hundred seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.00424214072 × 1013
Factors of 10042421407200
Divisors of 10042421407200
- Number of divisors d(n): 2160
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 65 70 72 75 78 80 81 84 90 91 96 97 100 104 105 108 112 117 120 126 130 135 140 144 150 156 160 162 168 175 180 181 182 189 194 195 200 208 210 216 224 225 234 240 252 260 270 273 280 288 291 300 312 315 324 325 336 350 351 360 362 364 378 388 390 400 405 416 420 432 450 455 468 480 485 504 520 525 540 543 546 560 567 582 585 600 624 630 648 650 672 675 679 700 702 720 724 728 756 776 780 800 810 819 840 864 873 900 905 910 936 945 970 975 1008 1040 1050 1053 1080 1086 1092 1120 1134 1164 1170 1200 1248 1260 1261 1267 1296 1300 1350 1358 1365 1400 1404 1440 1448 1455 1456 1512 1552 1560 1575 1620 1629 1638 1680 1746 1755 1800 1810 1820 1872 1890 1940 1950 2016 2025 2037 2080 2100 2106 2160 2172 2184 2268 2275 2328 2340 2353 2400 2425 2457 2520 2522 2534 2592 2600 2619 2700 2715 2716 2730 2800 2808 2835 2896 2910 2912 2925 3024 3104 3120 3150 3240 3258 3276 3360 3395 3492 3510 3600 3620 3640 3744 3780 3783 3801 3880 3900 4050 4074 4095 4200 4212 4320 4344 4365 4368 4525 4536 4550 4656 4680 4706 4725 4850 4887 4914 5040 5044 5068 5200 5238 5265 5400 5430 5432 5460 5600 5616 5670 5792 5820 5850 6048 6111 6240 6300 6305 6335 6480 6516 6552 6790 6825 6984 7020 7059 7200 7240 7275 7280 7371 7560 7566 7602 7760 7800 7857 8100 8145 8148 8190 8400 8424 8688 8730 8736 8775 8827 9050 9072 9100 9312 9360 9409 9412 9450 9700 9774 9828 10080 10088 10136 10185 10400 10476 10530 10800 10860 10864 10920 11232 11340 11349 11403 11640 11700 11765 12222 12285 12600 12610 12670 12960 13032 13095 13104 13575 13580 13650 13968 14040 14118 14175 14480 14550 14560 14661 14742 15120 15132 15204 15520 15600 15714 16200 16290 16296 16380 16471 16800 16848 16975 17376 17460 17550 17557 17654 18100 18144 18200 18333 18720 18818 18824 18900 18915 19005 19400 19548 19656 20176 20272 20370 20475 20952 21060 21177 21600 21720 21728 21825 21840 22680 22698 22806 23280 23400 23530 24435 24444 24570 25200 25220 25340 26064 26190 26208 26325 26481 27150 27160 27300 27936 28080 28227 28236 28350 28960 29100 29322 29484 30240 30264 30408 30555 31200 31428 31525 31675 32400 32580 32592 32760 32942 33696 33950 34047 34209 34920 35100 35114 35295 35308 36200 36400 36666 36855 37636 37648 37800 37830 38010 38800 39096 39285 39312 40352 40544 40725 40740 40950 41904 42120 42354 43440 43650 43680 44135 45360 45396 45612 46560 46800 47045 47060 48870 48888 49140 49413 50400 50440 50680 50925 52128 52380 52650 52671 52962 54300 54320 54600 54999 56160 56454 56472 56700 56745 57015 58200 58644 58825 58968 60528 60816 61110 61425 62856 63050 63350 63531 64800 65160 65184 65475 65520 65863 65884 67900 68094 68418 69840 70200 70228 70590 70616 72400 72800 73305 73332 73710 75272 75296 75600 75660 76020 77600 78192 78570 78624 79443 81450 81480 81900 82355 83808 84240 84681 84708 86880 87300 87785 88270 90720 90792 91224 91665 93600 94090 94120 94575 95025 97740 97776 98280 98826 100880 101360 101850 102141 102627 104760 105300 105342 105885 105924 108600 108640 109200 109998 112908 112944 113400 113490 114030 116400 117288 117650 117936 121056 121632 122175 122220 122317 122850 122899 125712 126100 126700 127062 130320 130950 131040 131726 131768 132405 135800 136188 136836 139680 140400 140456 141135 141180 141232 144800 146610 146664 147420 148239 150544 151200 151320 152040 152775 156384 157140 158013 158886 162900 162960 163800 164710 168480 169362 169416 170235 171045 174600 175570 176475 176540 181584 182448 183330 184275 188180 188240 189150 190050 190593 195480 195552 196425 196560 197589 197652 201760 202720 203700 204282 205254 209520 210600 210684 211770 211848 217200 218400 219996 220675 225816 225888 226800 226980 228060 228241 232800 234576 235225 235300 235872 238329 244350 244440 244634 245700 245798 247065 251424 252200 253400 254043 254124 260640 261900 263355 263452 263536 264810 271600 272376 273672 274995 280800 280912 282270 282360 282464 283725 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47930610 48926800 49159600 49300056 49538385 49774095 50808600 50824800 51090870 51125984 51354225 51373140 52690400 52840944 53092368 53349030 53366040 54496928 54777840 55042650 55304550 56884680 56905632 57198960 57516732 58712160 58991520 59276700 59295600 59606015 60970320 61309044 61625070 61647768 63205200 63554400 63907480 64216425 65733408 66051180 66365460 66418131 66707550 67744800 68121160 68472300 68497520 69353739 71105850 71132040 71154720 71498700 71527218 71895915 73390200 73739400 73950084 75846240 76212900 76237200 76636305 76688976 77059710 79035600 79261416 79638552 79884350 81712800 81745392 82101600 82166760 82197024 82563975 82956825 85151450 85358448 85621900 86275098 88068240 88487280 88557508 88915050 88943400 91296400 91963566 92437605 92471652 94807800 94842720 95331600 95369624 95861220 97853600 98319200 98600112 99076770 99548190 101617200 102181740 102708450 102746280 105681888 106184736 106698060 106732080 107290827 109555680 110085300 110609100 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5579123004 5722177440 5751673200 5977631790 6130904400 6164776800 6199025560 6376140576 6437449620 6470632350 6641813100 6897267450 6902007840 6935373900 6973903755 7152721800 7173158148 7357085280 7395008400 7438830672 7724939544 7748781950 7926141600 7963855200 7970175720 8046812025 8368684506 8583266160 8627509800 8855750800 8966447685 9196356600 9247165200 9298538340 9536962400 9564210864 9656174430 9962719650 10299919392 10353011760 10626900960 10729082700 11035627920 11096598240 11158246008 11503346400 11623172925 11955263580 12261808800 12398051120 12553026759 12874899240 12941264700 13283626200 13794534900 13870747800 13947807510 14305443600 14346316296 14790016800 14877661344 14944079475 15449879088 15497563900 15940351440 16093624050 16737369012 17166532320 17255019600 17711501600 17932895370 18392713200 18494330400 18597076680 19128421728 19312348860 19925439300 20706023520 20921711265 21458165400 22071255840 22316492016 23246345850 23910527160 24140436075 24796102240 25106053518 25749798480 25882529400 26567252400 27589069800 27741495600 27895615020 28610887200 28692632592 29888158950 30899758176 30995127800 31880702880 32187248100 33474738024 34510039200 34869518775 35865790740 36785426400 37194153360 38624697720 39850878600 41843422530 42916330800 44632984032 44832238425 46492691700 47821054320 48280872150 50212107036 51499596960 51765058800 53134504800 55178139600 55482991200 55791230040 57385265184 59776317900 61990255600 62765133795 64374496200 66949476048 69739037550 71731581480 74388306720 77249395440 79701757200 83686845060 85832661600 89664476850 92985383400 95642108640 96561744300 100424214072 103530117600 104608556325 110356279200 111582460080 119552635800 123980511200 125530267590 128748992400 133898952096 139478075100 143463162960 154498790880 159403514400 167373690120 179328953700 185970766800 193123488600 200848428144 209217112650 223164920160 239105271600 251060535180 257497984800 278956150200 286926325920 313825668975 334747380240 358657907400 371941533600 386246977200 401696856288 418434225300 478210543200 502121070360 557912300400 627651337950 669494760480 717315814800 772493954400 836868450600 1004242140720 1115824600800 1255302675900 1434631629600 1673736901200 2008484281440 2510605351800 3347473802400 5021210703600 10042421407200
- Sum of all divisors σ(n): 45795258853344
- Sum of proper divisors (its aliquot sum) s(n): 35752837446144
- 10042421407200 is an abundant number, because the sum of its proper divisors (35752837446144) is greater than itself. Its abundance is 25710416038944
Bases of 10042421407200
- Binary: 100100100010001011101111010111101101111000002
- Hexadecimal: 0x9222EF5EDE0
- Base-36: 3K5FAF200
Squares and roots of 10042421407200
- 10042421407200 squared (100424214072002) is 100850227719788828211840000
- 10042421407200 cubed (100424214072003) is 1012780485774202171497985312501248000000
-
The
square root of 10042421407200 is 3168977.9751837973 -
The
cube root of 10042421407200 is 21574.7686401093
Scales and comparisons
How big is 10042421407200?- 10,042,421,407,200 seconds is equal to 319,317 years, 48 weeks, 5 days, 6 hours.
-
To count from 1 to 10,042,421,407,200 would take you about seven hundred ninety-eight thousand, two hundred ninety-four 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 10042421407200 cubic inches would be around 1797.9 feet tall.
Recreational maths with 10042421407200
- 10042421407200 backwards is 00270412424001
- 10042421407200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 10042421407200's digits is 27
- More coming soon!
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Cite this page
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"Number 10042421407200 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 10042421407200 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/10042421407200/
Chicago style:
Numbermatics. 2024. "Number 10042421407200 - Facts about the integer". https://numbermatics.com/n/10042421407200/
The information we have on file for 10042421407200 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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