42605616521216
42,605,616,521,216 is an even composite number composed of five prime numbers multiplied together.
What does the number 42605616521216 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 336 divisors.
42605616521216 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 42605616521216:
213 × 72 × 61 × 547 × 3181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 61 × 547 × 3181)See below for interesting mathematical facts about the number 42605616521216 from the Numbermatics database.
Names of 42605616521216
- Cardinal: 42605616521216 can be written as Forty-two trillion, six hundred five billion, six hundred sixteen million, five hundred twenty-one thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 4.2605616521216 × 1013
Factors of 42605616521216
Divisors of 42605616521216
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 61 64 98 112 122 128 196 224 244 256 392 427 448 488 512 547 784 854 896 976 1024 1094 1568 1708 1792 1952 2048 2188 2989 3136 3181 3416 3584 3829 3904 4096 4376 5978 6272 6362 6832 7168 7658 7808 8192 8752 11956 12544 12724 13664 14336 15316 15616 17504 22267 23912 25088 25448 26803 27328 28672 30632 31232 33367 35008 44534 47824 50176 50896 53606 54656 57344 61264 62464 66734 70016 89068 95648 100352 101792 107212 109312 122528 124928 133468 140032 155869 178136 191296 194041 200704 203584 214424 218624 233569 245056 249856 266936 280064 311738 356272 382592 388082 401408 407168 428848 437248 467138 490112 499712 533872 560128 623476 712544 765184 776164 814336 857696 874496 934276 980224 1067744 1120256 1246952 1358287 1425088 1530368 1552328 1628672 1634983 1715392 1740007 1748992 1868552 1960448 2135488 2240512 2493904 2716574 2850176 3060736 3104656 3257344 3269966 3430784 3480014 3497984 3737104 3920896 4270976 4481024 4987808 5433148 5700352 6121472 6209312 6514688 6539932 6861568 6960028 7474208 7841792 8541952 9508009 9975616 10866296 11400704 12180049 12242944 12418624 13029376 13079864 13723136 13920056 14948416 15683584 17083904 19016018 19951232 21732592 22801408 24360098 24485888 24837248 26058752 26159728 27446272 27840112 29896832 31367168 34167808 38032036 39902464 43465184 45602816 48720196 49674496 52319456 54892544 55680224 59793664 68335616 76064072 79804928 85260343 86930368 91205632 97440392 99348992 104638912 106140427 109785088 111360448 119587328 136671232 152128144 159609856 170520686 173860736 182411264 194880784 198697984 209277824 212280854 219570176 222720896 239174656 273342464 304256288 319219712 341041372 347721472 389761568 397395968 418555648 424561708 445441792 478349312 608512576 638439424 682082744 695442944 742982989 779523136 794791936 837111296 849123416 890883584 956698624 1217025152 1276878848 1364165488 1390885888 1485965978 1559046272 1589583872 1674222592 1698246832 1781767168 1913397248 2434050304 2728330976 2781771776 2971931956 3118092544 3348445184 3396493664 3563534336 4868100608 5200880923 5456661952 5563543552 5943863912 6236185088 6696890368 6792987328 7127068672 9736201216 10401761846 10913323904 11127087104 11887727824 12472370176 13393780736 13585974656 14254137344 19472402432 20803523692 21826647808 23775455648 24944740352 27171949312 38944804864 41607047384 43653295616 47550911296 49889480704 54343898624 77889609728 83214094768 87306591232 95101822592 99778961408 108687797248 166428189536 174613182464 190203645184 217375594496 332856379072 349226364928 380407290368 434751188992 665712758144 698452729856 760814580736 869502377984 1331425516288 1521629161472 2662851032576 3043258322944 5325702065152 6086516645888 10651404130304 21302808260608 42605616521216
- Sum of all divisors σ(n): 100957993422192
- Sum of proper divisors (its aliquot sum) s(n): 58352376900976
- 42605616521216 is an abundant number, because the sum of its proper divisors (58352376900976) is greater than itself. Its abundance is 15746760379760
Bases of 42605616521216
- Binary: 10011010111111111001001010001101100000000000002
- Hexadecimal: 0x26BFE4A36000
- Base-36: F3OR015VK
Squares and roots of 42605616521216
- 42605616521216 squared (426056165212162) is 1815238559152913769778118656
- 42605616521216 cubed (426056165212163) is 77339357945793710203724032088643989405696
-
The
square root of 42605616521216 is 6527297.7962718997 -
The
cube root of 42605616521216 is 34926.5443170451
Scales and comparisons
How big is 42605616521216?- 42,605,616,521,216 seconds is equal to 1,354,726 years, 42 weeks, 3 days, 14 hours, 6 minutes, 56 seconds.
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To count from 1 to 42,605,616,521,216 would take you about three million, three hundred eighty-six thousand, eight hundred seventeen 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 42605616521216 cubic inches would be around 2910.5 feet tall.
Recreational maths with 42605616521216
- 42605616521216 backwards is 61212561650624
- The number of decimal digits it has is: 14
- The sum of 42605616521216's digits is 47
- More coming soon!
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