42382992517632
42,382,992,517,632 is an even composite number composed of six prime numbers multiplied together.
42382992517632 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 42382992517632:
29 × 33 × 13 × 29 × 983 × 8273
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 13 × 29 × 983 × 8273)See below for interesting mathematical facts about the number 42382992517632 from the Numbermatics database.
Names of 42382992517632
- Cardinal: 42382992517632 can be written as Forty-two trillion, three hundred eighty-two billion, nine hundred ninety-two million, five hundred seventeen thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 4.2382992517632 × 1013
Factors of 42382992517632
Divisors of 42382992517632
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 32 36 39 48 52 54 58 64 72 78 87 96 104 108 116 117 128 144 156 174 192 208 216 232 234 256 261 288 312 348 351 377 384 416 432 464 468 512 522 576 624 696 702 754 768 783 832 864 928 936 983 1044 1131 1152 1248 1392 1404 1508 1536 1566 1664 1728 1856 1872 1966 2088 2262 2304 2496 2784 2808 2949 3016 3132 3328 3393 3456 3712 3744 3932 4176 4524 4608 4992 5568 5616 5898 6032 6264 6656 6786 6912 7424 7488 7864 8273 8352 8847 9048 9984 10179 11136 11232 11796 12064 12528 12779 13572 13824 14848 14976 15728 16546 16704 17694 18096 19968 20358 22272 22464 23592 24128 24819 25056 25558 26541 27144 28507 29952 31456 33092 33408 35388 36192 38337 40716 44544 44928 47184 48256 49638 50112 51116 53082 54288 57014 59904 62912 66184 66816 70776 72384 74457 76674 81432 85521 89856 94368 96512 99276 100224 102232 106164 107549 108576 114028 115011 125824 132368 133632 141552 144768 148914 153348 162864 171042 179712 188736 193024 198552 200448 204464 212328 215098 217152 223371 228056 230022 239917 251648 256563 264736 283104 289536 297828 306696 322647 325728 342084 345033 370591 377472 397104 400896 408928 424656 430196 434304 446742 456112 460044 479834 503296 513126 529472 566208 579072 595656 613392 645294 651456 684168 690066 719751 741182 754944 769689 794208 817856 849312 860392 868608 893484 912224 920088 959668 967941 1026252 1058944 1111773 1132416 1191312 1226784 1290588 1302912 1368336 1380132 1439502 1482364 1509888 1539378 1588416 1635712 1698624 1720784 1737216 1786968 1824448 1840176 1919336 1935882 2052504 2117888 2159253 2223546 2264832 2382624 2453568 2581176 2605824 2736672 2760264 2879004 2903823 2964728 3078756 3118921 3176832 3271424 3335319 3397248 3441568 3573936 3648896 3680352 3838672 3871764 4105008 4235776 4318506 4447092 4529664 4765248 4907136 5162352 5211648 5473344 5520528 5758008 5807646 5929456 6157512 6237842 6353664 6477759 6542848 6670638 6794496 6883136 7147872 7297792 7360704 7677344 7743528 8132359 8210016 8637012 8894184 9356763 9530496 9814272 10005957 10324704 10946688 11041056 11516016 11615292 11858912 12315024 12475684 12707328 12955518 13341276 13588992 13766272 14295744 14595584 14721408 15354688 15487056 16264718 16420032 17274024 17788368 18713526 19060992 19628544 20011914 20649408 21893376 22082112 23032032 23230584 23717824 24397077 24630048 24951368 25911036 26682552 27532544 28070289 28591488 29442816 30709376 30974112 32529436 32840064 34548048 35576736 37427052 38121984 40023828 41298816 43786752 44164224 46064064 46461168 47435648 48794154 49260096 49902736 51822072 53365104 55065088 56140578 57182976 58885632 61418752 61948224 65058872 65680128 69096096 71153472 73191231 74854104 80047656 82597632 84210867 88328448 92128128 92922336 94871296 97588308 98520192 99805472 103644144 105720667 106730208 112281156 114365952 122837504 123896448 130117744 131360256 138192192 142306944 146382462 149708208 160095312 165195264 168421734 176656896 184256256 185844672 189742592 195176616 197040384 199610944 207288288 211441334 213460416 219573693 224562312 235838411 247792896 260235488 276384384 284613888 292764924 299416416 317162001 320190624 336843468 368512512 371689344 390353232 394080768 399221888 414576576 422882668 426920832 439147386 449124624 471676822 495585792 520470976 552768768 569227776 585529848 598832832 634324002 640381248 673686936 707515233 743378688 780706464 798443776 829153152 845765336 853841664 878294772 898249248 943353644 951486003 1040941952 1105537536 1171059696 1197665664 1268648004 1280762496 1347373872 1415030466 1486757376 1561412928 1596887552 1658306304 1691530672 1707683328 1756589544 1796498496 1886707288 1902972006 2081883904 2122545699 2342119392 2395331328 2537296008 2561524992 2694747744 2830060932 2854458009 3065899343 3122825856 3316612608 3383061344 3513179088 3592996992 3773414576 3805944012 4163767808 4245091398 4684238784 4790662656 5074592016 5123049984 5389495488 5660121864 5708916018 6131798686 6245651712 6367637097 6766122688 7026358176 7185993984 7546829152 7611888024 8490182796 9197698029 9368477568 10149184032 10778990976 11320243728 11417832036 12263597372 12491303424 12735274194 13532245376 14052716352 14371987968 15093658304 15223776048 16980365592 18395396058 18736955136 20298368064 21557981952 22640487456 22835664072 24527194744 25470548388 27064490752 27593094087 28105432704 30187316608 30447552096 33960731184 36790792116 37473910272 40596736128 43115963904 45280974912 45671328144 49054389488 50941096776 54128981504 55186188174 56210865408 60374633216 60895104192 67921462368 73581584232 81193472256 82779282261 90561949824 91342656288 98108778976 101882193552 110372376348 112421730816 120749266432 121790208384 135842924736 147163168464 162386944512 165558564522 181123899648 182685312576 196217557952 203764387104 220744752696 243580416768 271685849472 294326336928 331117129044 362247799296 365370625152 392435115904 407528774208 441489505392 487160833536 543371698944 588652673856 662234258088 730741250304 784870231808 815057548416 882979010784 1086743397888 1177305347712 1324468516176 1461482500608 1569740463616 1630115096832 1765958021568 2354610695424 2648937032352 3260230193664 3531916043136 4709221390848 5297874064704 7063832086272 10595748129408 14127664172544 21191496258816 42382992517632
- Sum of all divisors σ(n): 139925069222400
- Sum of proper divisors (its aliquot sum) s(n): 97542076704768
- 42382992517632 is an abundant number, because the sum of its proper divisors (97542076704768) is greater than itself. Its abundance is 55159084187136
Bases of 42382992517632
- Binary: 10011010001100000011110011011010101010000000002
- Hexadecimal: 0x268C0F36AA00
- Base-36: F0UH7G5C0
Squares and roots of 42382992517632
- 42382992517632 squared (423829925176322) is 1796318054749650097830887424
- 42382992517632 cubed (423829925176323) is 76133334673741689415336598484690527059968
-
The
square root of 42382992517632 is 6510222.1557817825 -
The
cube root of 42382992517632 is 34865.6050160123
Scales and comparisons
How big is 42382992517632?- 42,382,992,517,632 seconds is equal to 1,347,648 years, 3 weeks, 1 day, 21 hours, 7 minutes, 12 seconds.
-
To count from 1 to 42,382,992,517,632 would take you about three million, three hundred sixty-nine thousand, one hundred twenty 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 42382992517632 cubic inches would be around 2905.5 feet tall.
Recreational maths with 42382992517632
- 42382992517632 backwards is 23671529928324
- The number of decimal digits it has is: 14
- The sum of 42382992517632's digits is 63
- More coming soon!
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