48138678387072
48,138,678,387,072 is an even composite number composed of six prime numbers multiplied together.
48138678387072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 48138678387072:
27 × 33 × 7 × 13 × 1831 × 83597
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 1831 × 83597)See below for interesting mathematical facts about the number 48138678387072 from the Numbermatics database.
Names of 48138678387072
- Cardinal: 48138678387072 can be written as Forty-eight trillion, one hundred thirty-eight billion, six hundred seventy-eight million, three hundred eighty-seven thousand and seventy-two.
Scientific notation
- Scientific notation: 4.8138678387072 × 1013
Factors of 48138678387072
Divisors of 48138678387072
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 52 54 56 63 64 72 78 84 91 96 104 108 112 117 126 128 144 156 168 182 189 192 208 216 224 234 252 273 288 312 336 351 364 378 384 416 432 448 468 504 546 576 624 672 702 728 756 819 832 864 896 936 1008 1092 1152 1248 1344 1404 1456 1512 1638 1664 1728 1831 1872 2016 2184 2457 2496 2688 2808 2912 3024 3276 3456 3662 3744 4032 4368 4914 4992 5493 5616 5824 6048 6552 7324 7488 8064 8736 9828 10986 11232 11648 12096 12817 13104 14648 14976 16479 17472 19656 21972 22464 23803 24192 25634 26208 29296 32958 34944 38451 39312 43944 44928 47606 49437 51268 52416 58592 65916 71409 76902 78624 83597 87888 95212 98874 102536 104832 115353 117184 131832 142818 153804 157248 166621 167194 175776 190424 197748 205072 214227 230706 234368 250791 263664 285636 307608 314496 333242 334388 346059 351552 380848 395496 410144 428454 461412 499863 501582 527328 571272 585179 615216 642681 666484 668776 692118 703104 752373 761696 790992 820288 856908 922824 999726 1003164 1054656 1086761 1142544 1170358 1230432 1285362 1332968 1337552 1384236 1499589 1504746 1523392 1581984 1640576 1713816 1755537 1845648 1999452 2006328 2109312 2173522 2257119 2285088 2340716 2460864 2570724 2665936 2675104 2768472 2999178 3009492 3046784 3163968 3260283 3427632 3511074 3691296 3998904 4012656 4347044 4498767 4514238 4570176 4681432 4921728 5141448 5266611 5331872 5350208 5536944 5998356 6018984 6327936 6520566 6855264 7022148 7382592 7607327 7997808 8025312 8694088 8997534 9028476 9140352 9362864 9780849 10282896 10533222 10663744 10700416 11073888 11996712 12037968 13041132 13710528 14044296 14765184 15214654 15799833 15995616 16050624 17388176 17995068 18056952 18725728 19561698 20565792 21066444 21327488 22147776 22821981 23993424 24075936 26082264 27421056 28088592 29342547 30429308 31599666 31991232 32101248 34776352 35990136 36113904 37451456 39123396 41131584 42132888 44295552 45643962 47986848 48151872 52164528 56177184 58685094 60858616 63199332 63982464 68465943 69552704 71980272 72227808 74902912 78246792 82263168 84265776 91287924 95973696 96303744 104329056 112354368 117370188 121717232 126398664 136931886 139105408 143960544 144455616 153066107 156493584 168531552 182575848 191947392 205397829 208658112 224708736 234740376 243434464 252797328 273863772 287921088 288911232 306132214 312987168 337063104 365151696 410795658 417316224 459198321 469480752 486868928 505594656 547727544 575842176 612264428 625974336 674126208 730303392 821591316 918396642 938961504 973737856 1011189312 1071462749 1095455088 1224528856 1251948672 1377594963 1460606784 1643182632 1836793284 1877923008 1989859391 2022378624 2142925498 2190910176 2449057712 2755189926 2921213568 3214388247 3286365264 3673586568 3755846016 3979718782 4132784889 4285850996 4381820352 4898115424 5510379852 5969578173 6428776494 6572730528 7347173136 7959437564 8265569778 8571701992 8763640704 9643164741 9796230848 11020759704 11939156346 12857552988 13145461056 13929015737 14694346272 15918875128 16531139556 17143403984 17908734519 19286329482 19592461696 22041519408 23878312692 25715105976 26290922112 27858031474 28929494223 29388692544 31837750256 33062279112 34286807968 35817469038 38572658964 41787047211 44083038816 47756625384 51430211952 53726203557 55716062948 57858988446 58777385088 63675500512 66124558224 68573615936 71634938076 77145317928 83574094422 88166077632 95513250768 102860423904 107452407114 111432125896 115717976892 125361141633 127351001024 132249116448 137147231872 143269876152 154290635856 167148188844 176332155264 191026501536 205720847808 214904814228 222864251792 231435953784 250722283266 254702002048 264498232896 286539752304 308581271712 334296377688 376083424899 382053003072 411441695616 429809628456 445728503584 462871907568 501444566532 528996465792 573079504608 617162543424 668592755376 752166849798 764106006144 859619256912 891457007168 925743815136 1002889133064 1146159009216 1234325086848 1337185510752 1504333699596 1719238513824 1782914014336 1851487630272 2005778266128 2292318018432 2674371021504 3008667399192 3438477027648 3702975260544 4011556532256 5348742043008 6017334798384 6876954055296 8023113064512 12034669596768 16046226129024 24069339193536 48138678387072
- Sum of all divisors σ(n): 174960314726400
- Sum of proper divisors (its aliquot sum) s(n): 126821636339328
- 48138678387072 is an abundant number, because the sum of its proper divisors (126821636339328) is greater than itself. Its abundance is 78682957952256
Bases of 48138678387072
- Binary: 10101111001000001010001101001101000001100000002
- Hexadecimal: 0x2BC828D34180
- Base-36: H2ALQ7HC0
Squares and roots of 48138678387072
- 48138678387072 squared (481386783870722) is 2317332356853952891456733184
- 48138678387072 cubed (481386783870723) is 111553317042548001301177883278431378997248
-
The
square root of 48138678387072 is 6938204.2624206447 -
The
cube root of 48138678387072 is 36377.3775592819
Scales and comparisons
How big is 48138678387072?- 48,138,678,387,072 seconds is equal to 1,530,661 years, 3 weeks, 4 days, 11 hours, 31 minutes, 12 seconds.
-
To count from 1 to 48,138,678,387,072 would take you about three million, eight hundred twenty-six thousand, six hundred fifty-two 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 48138678387072 cubic inches would be around 3031.4 feet tall.
Recreational maths with 48138678387072
- 48138678387072 backwards is 27078387683184
- 48138678387072 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 48138678387072's digits is 72
- More coming soon!
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