42406512137412192
42,406,512,137,412,192 is an even composite number composed of five prime numbers multiplied together.
42406512137412192 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 42406512137412192:
25 × 34 × 7 × 112 × 19315864333
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 11 × 11 × 19315864333)See below for interesting mathematical facts about the number 42406512137412192 from the Numbermatics database.
Names of 42406512137412192
- Cardinal: 42406512137412192 can be written as Forty-two quadrillion, four hundred six trillion, five hundred twelve billion, one hundred thirty-seven million, four hundred twelve thousand, one hundred ninety-two.
Scientific notation
- Scientific notation: 4.2406512137412192 × 1016
Factors of 42406512137412192
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 19315864356
Divisors of 42406512137412192
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 54 56 63 66 72 77 81 84 88 96 99 108 112 121 126 132 144 154 162 168 176 189 198 216 224 231 242 252 264 288 297 308 324 336 352 363 378 396 432 462 484 504 528 567 594 616 648 672 693 726 756 792 847 864 891 924 968 1008 1056 1089 1134 1188 1232 1296 1386 1452 1512 1584 1694 1782 1848 1936 2016 2079 2178 2268 2376 2464 2541 2592 2772 2904 3024 3168 3267 3388 3564 3696 3872 4158 4356 4536 4752 5082 5544 5808 6048 6237 6534 6776 7128 7392 7623 8316 8712 9072 9504 9801 10164 11088 11616 12474 13068 13552 14256 15246 16632 17424 18144 19602 20328 22176 22869 24948 26136 27104 28512 30492 33264 34848 39204 40656 45738 49896 52272 60984 66528 68607 78408 81312 91476 99792 104544 121968 137214 156816 182952 199584 243936 274428 313632 365904 548856 731808 1097712 2195424 19315864333 38631728666 57947592999 77263457332 115895185998 135211050331 154526914664 173842778997 212474507663 231790371996 270422100662 309053829328 347685557994 405633150993 424949015326 463580743992 521528336991 540844201324 618107658656 637423522989 695371115988 811266301986 849898030652 927161487984 1043056673982 1081688402648 1216899452979 1274847045978 1390742231976 1487321553641 1564585010973 1622532603972 1699796061304 1854322975968 1912270568967 2086113347964 2163376805296 2337219584293 2433798905958 2549694091956 2781484463952 2974643107282 3129170021946 3245065207944 3399592122608 3650698358937 3824541137934 4172226695928 4326753610592 4461964660923 4674439168586 4867597811916 5099388183912 5562968927904 5736811706901 5949286214564 6258340043892 6490130415888 6799184245216 7011658752879 7301396717874 7649082275868 8344453391856 8923929321846 9348878337172 9735195623832 10198776367824 10952095076811 11473623413802 11898572429128 12516680087784 12980260831776 13385893982769 14023317505758 14602793435748 15298164551736 16360537090051 16688906783712 17210435120703 17847858643692 18697756674344 19470391247664 20397552735648 21034976258637 21904190153622 22947246827604 23797144858256 25033360175568 26771787965538 28046635011516 29205586871496 30596329103472 32721074180102 34420870241406 35695717287384 37395513348688 38940782495328 40157681948307 42069952517274 43808380307244 45894493655208 47594289716512 49081611270153 50066720351136 53543575931076 56093270023032 58411173742992 61192658206944 63104928775911 65442148360204 68841740482812 71391434574768 74791026697376 80315363896614 84139905034548 87616760614488 91788987310416 98163222540306 107087151862152 112186540046064 116822347485984 120473045844921 126209857551822 130884296720408 137683480965624 142782869149536 147244833810459 160630727793228 168279810069096 175233521228976 183577974620832 189314786327733 196326445080612 214174303724304 224373080092128 240946091689842 252419715103644 261768593440816 275366961931248 294489667620918 321261455586456 336559620138192 350467042457952 378629572655466 392652890161224 428348607448608 441734501431377 481892183379684 504839430207288 523537186881632 550733923862496 588979335241836 642522911172912 673119240276384 757259145310932 785305780322448 883469002862754 963784366759368 1009678860414576 1177958670483672 1285045822345824 1325203504294131 1514518290621864 1570611560644896 1766938005725508 1927568733518736 2019357720829152 2355917340967344 2650407008588262 3029036581243728 3533876011451016 3855137467037472 4711834681934688 5300814017176524 6058073162487456 7067752022902032 10601628034353048 14135504045804064 21203256068706096 42406512137412192
- Sum of all divisors σ(n): 156668503182439248
- Sum of proper divisors (its aliquot sum) s(n): 114261991045027056
- 42406512137412192 is an abundant number, because the sum of its proper divisors (114261991045027056) is greater than itself. Its abundance is 71855478907614864
Bases of 42406512137412192
- Binary: 100101101010100001111111100001000001110100011110011000002
- Hexadecimal: 0x96A87F841D1E60
- Base-36: BLJUQQEX200
Squares and roots of 42406512137412192
- 42406512137412192 squared (424065121374121922) is 1798312271660487556870718510244864
- 42406512137412192 cubed (424065121374121923) is 76260151175027756655655881931651039262089218981888
-
The
square root of 42406512137412192 is 205928415.0801248507 -
The
cube root of 42406512137412192 is 348720.5315385897
Scales and comparisons
How big is 42406512137412192?- 42,406,512,137,412,192 seconds is equal to 1,348,395,914 years, 5 days, 12 hours, 43 minutes, 12 seconds.
-
To count from 1 to 42,406,512,137,412,192 would take you about four billion, forty-five million, one hundred eighty-seven thousand, seven hundred forty-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 42406512137412192 cubic inches would be around 29060 feet tall.
Recreational maths with 42406512137412192
- 42406512137412192 backwards is 29121473121560424
- 42406512137412192 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42406512137412192's digits is 54
- More coming soon!
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