42148163803200
42,148,163,803,200 is an even composite number composed of eight prime numbers multiplied together.
42148163803200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 42148163803200:
26 × 3 × 52 × 7 × 13 × 313 × 41 × 79
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13 × 31 × 31 × 31 × 41 × 79)See below for interesting mathematical facts about the number 42148163803200 from the Numbermatics database.
Names of 42148163803200
- Cardinal: 42148163803200 can be written as Forty-two trillion, one hundred forty-eight billion, one hundred sixty-three million, eight hundred three thousand, two hundred.
Scientific notation
- Scientific notation: 4.21481638032 × 1013
Factors of 42148163803200
Divisors of 42148163803200
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 25 26 28 30 31 32 35 39 40 41 42 48 50 52 56 60 62 64 65 70 75 78 79 80 82 84 91 93 96 100 104 105 112 120 123 124 130 140 150 155 156 158 160 164 168 175 182 186 192 195 200 205 208 210 217 224 237 240 246 248 260 273 280 287 300 310 312 316 320 325 328 336 350 364 372 390 395 400 403 410 416 420 434 448 455 465 474 480 492 496 520 525 533 546 553 560 574 600 615 620 624 632 650 651 656 672 700 728 744 775 780 790 800 806 820 832 840 861 868 910 930 948 960 961 975 984 992 1025 1027 1040 1050 1066 1085 1092 1106 1120 1148 1185 1200 1209 1230 1240 1248 1264 1271 1300 1302 1312 1344 1365 1400 1435 1456 1488 1550 1560 1580 1599 1600 1612 1640 1659 1680 1722 1736 1820 1860 1896 1922 1950 1968 1975 1984 2015 2050 2054 2080 2100 2132 2170 2184 2212 2240 2275 2296 2325 2370 2400 2418 2449 2460 2480 2496 2528 2542 2600 2604 2624 2665 2730 2765 2800 2821 2870 2883 2912 2976 3075 3081 3100 3120 3160 3198 3224 3239 3255 3280 3318 3360 3444 3472 3640 3720 3731 3792 3813 3844 3900 3936 3950 4030 4100 4108 4160 4200 4264 4305 4340 4368 4424 4550 4592 4650 4740 4800 4805 4836 4898 4920 4960 5056 5084 5135 5200 5208 5330 5425 5460 5530 5600 5642 5740 5766 5824 5925 5952 6045 6150 6162 6200 6240 6320 6355 6396 6448 6478 6510 6560 6636 6720 6727 6825 6888 6944 7175 7189 7280 7347 7440 7462 7584 7626 7688 7800 7872 7900 7995 8060 8200 8216 8295 8400 8463 8528 8610 8680 8736 8848 8897 9100 9184 9300 9480 9610 9672 9717 9796 9840 9920 10075 10168 10270 10400 10416 10660 10850 10920 11060 11193 11200 11284 11480 11532 11850 12090 12245 12300 12324 12400 12480 12493 12640 12710 12792 12896 12956 13020 13120 13272 13325 13454 13650 13776 13825 13888 14105 14350 14378 14415 14560 14694 14880 14924 15168 15252 15376 15405 15600 15800 15990 16120 16195 16275 16400 16432 16523 16590 16800 16926 17056 17143 17220 17360 17472 17696 17794 18200 18368 18600 18655 18960 19065 19220 19344 19434 19592 19680 20150 20181 20336 20540 20800 20832 21320 21525 21567 21700 21840 22120 22386 22568 22673 22960 23064 23700 24025 24180 24490 24600 24648 24800 24986 25280 25420 25584 25675 25792 25912 26040 26544 26650 26691 26908 27300 27552 27650 28210 28700 28756 28830 29120 29388 29760 29791 29848 30225 30504 30752 30810 31200 31600 31775 31837 31980 32240 32390 32550 32800 32864 33046 33180 33600 33635 33852 34112 34286 34440 34720 35392 35588 35945 36400 36735 37200 37310 37479 37920 38130 38440 38688 38868 39184 39360 39401 39975 40300 40362 40672 41080 41475 41664 42107 42315 42640 43050 43134 43400 43680 44240 44485 44772 45136 45346 45920 46128 47400 48050 48360 48585 48980 49200 49296 49569 49600 49972 50840 51168 51350 51429 51824 52080 53088 53300 53382 53816 54600 55104 55300 55965 56420 57400 57512 57660 58776 59582 59696 60450 61008 61225 61504 61620 62400 62465 63200 63550 63674 63960 64480 64780 65100 65600 65728 66092 66360 67270 67704 68019 68572 68880 69440 70525 71176 71890 72075 72800 73470 74400 74620 74958 75840 75919 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8105416116 8208016320 8290354800 8336266575 8497613670 8566699960 8605178400 8715501200 8771730240 8780867459 8892017680 9064121248 9178607100 9263332704 9527161800 9649304900 9711558480 9790514240 9884653800 10035277096 10131770145 10260020400 10280039952 10458601440 10670421216 10708374950 10807221488 10964662800 11053806400 11115022100 11296747200 11330151560 11579165880 12139448100 12238142800 12544096370 12702882400 12850049940 12948744640 13012708800 13073251800 13179538400 13338026520 13509026860 13596181872 13680027200 13706719936 14162689450 14473957350 14619550400 14685771360 14940859200 15052915644 15243458880 15438887840 15815446080 16062562425 16185930800 16210832232 16580709600 16672533150 16886283575 16995227340 17133399920 17210356800 17431002400 17561734918 17784035360 18128242496 18357214200 18526665408 18816144555 19054323600 19298609800 19423116960 19769307600 20070554192 20263540290 20520040800 20560079904 20917202880 21244034175 21340842432 21416749900 21614442976 21929325600 22230044200 22660303120 23158331760 24278896200 24476285600 25088192740 25405764800 25700099880 26146503600 26342602377 26359076800 26676053040 27018053720 27192363744 28325378900 28947914700 29371542720 30105831288 30877775680 31360240925 32125124850 32371861600 32421664464 33161419200 33345066300 33772567150 33990454680 34266799840 34862004800 35123469836 35568070720 36714428400 37632289110 38108647200 38597219600 38846233920 39538615200 40141108384 40527080580 41040081600 41120159808 42488068350 42833499800 43228885952 43858651200 43904337295 44460088400 45320606240 46316663520 48557792400 48952571200 50176385480 50658850725 51400199760 52293007200 52685204754 53352106080 54036107440 54384727488 56650757800 57895829400 60211662576 62720481850 64250249700 64743723200 64843328928 66690132600 67545134300 67980909360 68533599680 70246939672 73428856800 75264578220 76217294400 77194439200 79077230400 80282216768 81054161160 84976136700 85666999600 87808674590 88920176800 90641212480 92633327040 94080722775 97115584800 100352770960 101317701450 102800399520 104586014400 105370409508 106704212160 108072214880 113301515600 115791658800 120423325152 125440963700 128500499400 129686657856 131713011885 133380265200 135090268600 135961818720 140493879344 146857713600 150529156440 154388878400 162108322320 169952273400 171333999200 175617349180 177840353600 188161445550 194231169600 200705541920 202635402900 205600799040 210740819016 216144429760 219521686475 226603031200 231583317600 240846650304 250881927400 257000998800 263426023770 266760530400 270180537200 271923637440 280987758688 301058312880 324216644640 339904546800 342667998400 351234698360 376322891100 401411083840 405270805800 421481638032 439043372950 453206062400 463166635200 501763854800 514001997600 526852047540 533521060800 540361074400 561975517376 602116625760 648433289280 658565059425 679809093600 702469396720 752645782200 810541611600 842963276064 878086745900 1003527709600 1028003995200 1053704095080 1080722148800 1204233251520 1317130118850 1359618187200 1404938793440 1505291564400 1621083223200 1685926552128 1756173491800 2007055419200 2107408190160 2634260237700 2809877586880 3010583128800 3242166446400 3512346983600 4214816380320 5268520475400 6021166257600 7024693967200 8429632760640 10537040950800 14049387934400 21074081901600 42148163803200
- Sum of all divisors σ(n): 182434830090240
- Sum of proper divisors (its aliquot sum) s(n): 140286666287040
- 42148163803200 is an abundant number, because the sum of its proper divisors (140286666287040) is greater than itself. Its abundance is 98138502483840
Bases of 42148163803200
- Binary: 10011001010101011000100101010011011000010000002
- Hexadecimal: 0x26556254D840
- Base-36: EXULKHTMO
Squares and roots of 42148163803200
- 42148163803200 squared (421481638032002) is 1776467711981378688330240000
- 42148163803200 cubed (421481638032003) is 74874852115687068183912515815968768000000
-
The
square root of 42148163803200 is 6492161.7203517043 -
The
cube root of 42148163803200 is 34801.0931866921
Scales and comparisons
How big is 42148163803200?- 42,148,163,803,200 seconds is equal to 1,340,181 years, 12 weeks, 1 day, 22 hours, 40 minutes.
-
To count from 1 to 42,148,163,803,200 would take you about three million, three hundred fifty thousand, four hundred fifty-three 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 42148163803200 cubic inches would be around 2900.1 feet tall.
Recreational maths with 42148163803200
- 42148163803200 backwards is 00230836184124
- 42148163803200 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42148163803200's digits is 42
- More coming soon!
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"Number 42148163803200 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 42148163803200 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/42148163803200/
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The information we have on file for 42148163803200 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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