42538013645467725
42,538,013,645,467,725 is an odd composite number composed of six prime numbers multiplied together.
What does the number 42538013645467725 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
42538013645467725 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 42538013645467725:
35 × 52 × 73 × 112 × 312 × 4192
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 7 × 11 × 11 × 31 × 31 × 419 × 419)See below for interesting mathematical facts about the number 42538013645467725 from the Numbermatics database.
Names of 42538013645467725
- Cardinal: 42538013645467725 can be written as Forty-two quadrillion, five hundred thirty-eight trillion, thirteen billion, six hundred forty-five million, four hundred sixty-seven thousand, seven hundred twenty-five.
Scientific notation
- Scientific notation: 4.2538013645467725 × 1016
Factors of 42538013645467725
Divisors of 42538013645467725
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 3 5 7 9 11 15 21 25 27 31 33 35 45 49 55 63 75 77 81 93 99 105 121 135 147 155 165 175 189 217 225 231 243 245 275 279 297 315 341 343 363 385 405 419 441 465 495 525 539 567 605 651 675 693 735 775 825 837 847 891 945 961 1023 1029 1085 1089 1155 1215 1225 1257 1323 1395 1485 1519 1575 1617 1701 1705 1715 1815 1925 1953 2025 2079 2095 2205 2325 2387 2475 2511 2541 2673 2695 2835 2883 2933 3025 3069 3087 3255 3267 3465 3675 3751 3771 3773 3969 4185 4235 4455 4557 4609 4725 4805 4851 5115 5145 5425 5445 5775 5859 5929 6075 6237 6285 6615 6727 6975 7161 7425 7533 7595 7623 8085 8505 8525 8575 8649 8799 9075 9207 9261 9765 9801 10395 10475 10571 10633 11025 11253 11313 11319 11907 11935 12555 12705 12989 13365 13475 13671 13827 14175 14415 14553 14665 15345 15435 16275 16335 16709 17325 17577 17787 18711 18755 18855 18865 19845 20181 20531 20925 21175 21483 22275 22785 22869 23045 24025 24255 25575 25725 25947 26257 26397 27225 27621 27783 29295 29403 29645 31185 31425 31713 31899 32263 33075 33635 33759 33939 33957 35805 37665 37975 38115 38967 40425 41013 41481 41503 42525 43245 43659 43995 46035 46305 47089 48825 49005 50127 50699 51975 52731 52855 53165 53361 56265 56565 56595 59535 59675 60543 61593 62775 63525 64449 64945 66825 68355 68607 69135 72075 72765 73325 73997 76725 77175 77841 78771 79191 81675 82863 83349 83545 87885 88935 90923 93555 93775 94275 94325 95139 95697 96789 99225 100905 101277 101817 101871 102655 107415 113925 114345 115225 116281 116901 116963 121275 123039 124443 124509 129735 130977 131285 131985 138105 138915 141267 142879 143717 146475 147015 148225 150381 152097 155925 158565 159495 160083 161315 168175 168795 169695 169785 175561 179025 181629 183799 184779 188325 190575 193347 194835 205065 205821 207405 207515 216225 218295 219975 221991 225841 230175 231525 233523 235445 236313 237573 245025 250635 253495 263655 264275 265825 266805 272769 281325 282825 282975 285417 287091 290367 297675 302715 303831 305613 307965 322245 324725 329623 341775 343035 345675 348843 350703 350889 354893 363825 369117 369985 373329 373527 389205 393855 395955 402659 414315 416745 417725 423801 428637 431151 439425 444675 451143 454615 456291 467775 475695 478485 480249 483945 504525 506385 509085 509355 513275 517979 526683 537075 544887 551397 554337 571725 580041 581405 584505 584815 615195 622215 622545 636461 648675 654885 656425 659925 665973 677523 690525 694575 706335 708939 712719 714395 718585 735075 751905 760485 792825 797475 800415 806575 813967 818307 843975 848475 848925 856251 861273 871101 877805 908145 911493 916839 918995 923895 966735 974175 988869 1000153 1025325 1029105 1037025 1037575 1046529 1052109 1052667 1064679 1091475 1109955 1119987 1120581 1129205 1167615 1177225 1181565 1187865 1207977 1228927 1253175 1267475 1271403 1285911 1286593 1293453 1318275 1334025 1353429 1363845 1368873 1427085 1435455 1440747 1451835 1513575 1519155 1528065 1539825 1553937 1571669 1580049 1580887 1611225 1634661 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2025619697403225 2835867576364515 3867092149587975 4726445960607525 6076859092209675 8507602729093545 14179337881822575 42538013645467725
- Sum of all divisors σ(n): 104903442332270400
- Sum of proper divisors (its aliquot sum) s(n): 62365428686802675
- 42538013645467725 is an abundant number, because the sum of its proper divisors (62365428686802675) is greater than itself. Its abundance is 19827415041334950
Bases of 42538013645467725
- Binary: 100101110010000000011001000110001100100111110000010011012
- Hexadecimal: 0x97201918C9F04D
- Base-36: BMUGTOXJNT9
Squares and roots of 42538013645467725
- 42538013645467725 squared (425380136454677252) is 1809482604901998370889434016675625
- 42538013645467725 cubed (425380136454677253) is 76971795738557690840040302175699154314352731703125
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The
square root of 42538013645467725 is 206247457.3066725713 -
The
cube root of 42538013645467725 is 349080.6174013831
Scales and comparisons
How big is 42538013645467725?- 42,538,013,645,467,725 seconds is equal to 1,352,577,255 years, 10 weeks, 6 days, 14 hours, 48 minutes, 45 seconds.
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To count from 1 to 42,538,013,645,467,725 would take you about four billion, fifty-seven million, seven hundred thirty-one thousand, seven hundred sixty-five 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 42538013645467725 cubic inches would be around 29090.1 feet tall.
Recreational maths with 42538013645467725
- 42538013645467725 backwards is 52776454631083524
- The number of decimal digits it has is: 17
- The sum of 42538013645467725's digits is 72
- More coming soon!
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The information we have on file for 42538013645467725 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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