42007138461175068
42,007,138,461,175,068 is an even composite number composed of six prime numbers multiplied together.
42007138461175068 is an even 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 42007138461175068:
22 × 38 × 17 × 192 × 232 × 793
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 17 × 19 × 19 × 23 × 23 × 79 × 79 × 79)See below for interesting mathematical facts about the number 42007138461175068 from the Numbermatics database.
Names of 42007138461175068
- Cardinal: 42007138461175068 can be written as Forty-two quadrillion, seven trillion, one hundred thirty-eight billion, four hundred sixty-one million, one hundred seventy-five thousand and sixty-eight.
Scientific notation
- Scientific notation: 4.2007138461175068 × 1016
Factors of 42007138461175068
Divisors of 42007138461175068
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 9 12 17 18 19 23 27 34 36 38 46 51 54 57 68 69 76 79 81 92 102 108 114 138 153 158 162 171 204 207 228 237 243 276 306 316 323 324 342 361 391 414 437 459 474 486 513 529 612 621 646 684 711 722 729 782 828 874 918 948 969 972 1026 1058 1083 1173 1242 1292 1311 1343 1377 1422 1444 1458 1501 1539 1564 1587 1748 1817 1836 1863 1938 2052 2116 2133 2166 2187 2346 2484 2622 2686 2754 2844 2907 2916 3002 3078 3174 3249 3519 3634 3726 3876 3933 4029 4131 4266 4332 4374 4503 4617 4692 4761 5244 5372 5451 5508 5589 5814 6004 6137 6156 6241 6348 6399 6498 6561 7038 7268 7429 7452 7866 8058 8262 8303 8532 8721 8748 8993 9006 9234 9522 9747 10051 10557 10902 11178 11628 11799 12087 12274 12393 12482 12798 12996 13122 13509 13851 14076 14283 14858 15732 16116 16353 16524 16606 16767 17442 17986 18012 18411 18468 18723 19044 19197 19494 20102 21114 21804 22287 22356 23598 24174 24548 24786 24909 24964 25517 25596 26163 26244 26979 27018 27702 28519 28566 29241 29716 30153 30889 31671 32706 33212 33534 34523 34884 35397 35972 36261 36822 37179 37446 38394 38988 40204 40527 41553 41791 42228 42849 44574 47196 48348 49059 49572 49818 50301 51034 52326 53958 54036 55233 55404 56169 57038 57132 57591 58482 60306 61778 63342 65412 66861 67068 69046 70794 72522 73644 74358 74727 74892 76551 76788 78489 80937 81054 83106 83582 85557 85698 87723 89148 90459 92667 95013 98118 99636 100602 102068 103569 104652 106097 106191 107916 108783 110466 111537 112338 114076 115182 116964 118579 120612 121581 123556 124659 125373 126684 128547 133722 138092 141151 141588 143543 145044 147177 148716 149454 150903 153102 156978 161874 162108 165699 166212 167164 168507 170867 171114 171396 172773 175446 180918 185334 190026 190969 196236 200583 201204 207138 212194 212382 217566 220932 223074 224181 224676 229653 230364 235467 237158 242811 243162 249318 250746 256671 257094 263169 267444 271377 278001 282302 285039 287086 294354 298908 301806 306204 310707 313956 318291 318573 323748 326349 331398 337014 341734 342228 345546 350892 355737 361836 364743 370668 376119 380052 381938 385641 401166 414276 423453 424388 424764 430629 435132 441531 446148 448362 459306 470934 474316 484823 485622 486324 493039 497097 498636 501492 505521 512601 513342 514188 518319 526338 542754 556002 564604 570078 572907 574172 586891 588708 601749 603612 621414 636582 637146 652698 655937 662796 672543 674028 683468 688959 691092 706401 710447 711474 728433 729486 752238 763876 770013 771282 789507 794029 802332 814131 834003 846906 855117 861258 883062 896724 918612 932121 941868 954873 955719 969646 971244 979047 986078 994194 1011042 1025202 1026684 1036638 1052676 1067211 1085508 1094229 1112004 1128357 1140156 1145814 1156923 1173782 1203498 1242828 1270359 1273164 1274292 1291887 1305396 1311874 1324593 1345086 1377918 1412802 1420894 1422948 1454469 1456866 1458972 1479117 1491291 1504476 1516563 1537803 1540026 1542564 1579014 1588058 1628262 1668006 1693812 1710234 1718721 1722516 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3500594871764589 4667459829019452 7001189743529178 10501784615293767 14002379487058356 21003569230587534 42007138461175068
- Sum of all divisors σ(n): 130458876838879680
- Sum of proper divisors (its aliquot sum) s(n): 88451738377704612
- 42007138461175068 is an abundant number, because the sum of its proper divisors (88451738377704612) is greater than itself. Its abundance is 46444599916529544
Bases of 42007138461175068
- Binary: 100101010011110101000101000101100000001001001101000111002
- Hexadecimal: 0x953D4516024D1C
- Base-36: BHMACZZLXR0
Squares and roots of 42007138461175068
- 42007138461175068 squared (420071384611750682) is 1764599681696333659953211344804624
- 42007138461175068 cubed (420071384611750683) is 74125783157563340346784653483984542164755919914432
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The
square root of 42007138461175068 is 204956430.6411854647 -
The
cube root of 42007138461175068 is 347622.3566121263
Scales and comparisons
How big is 42007138461175068?- 42,007,138,461,175,068 seconds is equal to 1,335,697,066 years, 23 weeks, 4 days, 12 hours, 37 minutes, 48 seconds.
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To count from 1 to 42,007,138,461,175,068 would take you about four billion, seven million, ninety-one thousand, one hundred ninety-nine 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 42007138461175068 cubic inches would be around 28968.5 feet tall.
Recreational maths with 42007138461175068
- 42007138461175068 backwards is 86057116483170024
- The number of decimal digits it has is: 17
- The sum of 42007138461175068's digits is 63
- More coming soon!
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The information we have on file for 42007138461175068 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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