42478752169984
42,478,752,169,984 is an even composite number composed of four prime numbers multiplied together.
42478752169984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of four hundred eight divisors.
Prime factorization of 42478752169984:
216 × 133 × 312 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 13 × 13 × 31 × 31 × 307)See below for interesting mathematical facts about the number 42478752169984 from the Numbermatics database.
Names of 42478752169984
- Cardinal: 42478752169984 can be written as Forty-two trillion, four hundred seventy-eight billion, seven hundred fifty-two million, one hundred sixty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 4.2478752169984 × 1013
Factors of 42478752169984
Divisors of 42478752169984
- Number of divisors d(n): 408
-
Complete list of divisors:
1 2 4 8 13 16 26 31 32 52 62 64 104 124 128 169 208 248 256 307 338 403 416 496 512 614 676 806 832 961 992 1024 1228 1352 1612 1664 1922 1984 2048 2197 2456 2704 3224 3328 3844 3968 3991 4096 4394 4912 5239 5408 6448 6656 7688 7936 7982 8192 8788 9517 9824 10478 10816 12493 12896 13312 15376 15872 15964 16384 17576 19034 19648 20956 21632 24986 25792 26624 30752 31744 31928 32768 35152 38068 39296 41912 43264 49972 51584 51883 53248 61504 63488 63856 65536 68107 70304 76136 78592 83824 86528 99944 103168 103766 106496 123008 123721 126976 127712 136214 140608 152272 157184 162409 167648 173056 199888 206336 207532 212992 246016 247442 253952 255424 272428 281216 295027 304544 314368 324818 335296 346112 399776 412672 415064 425984 492032 494884 507904 510848 544856 562432 590054 609088 628736 649636 670592 674479 692224 799552 825344 830128 851968 984064 989768 1015808 1021696 1089712 1124864 1180108 1218176 1257472 1299272 1341184 1348958 1384448 1599104 1608373 1650688 1660256 1968128 1979536 2031616 2043392 2111317 2179424 2249728 2360216 2436352 2514944 2598544 2682368 2697916 2768896 3198208 3216746 3301376 3320512 3835351 3936256 3959072 4086784 4222634 4358848 4499456 4720432 4872704 5029888 5197088 5364736 5395832 5537792 6396416 6433492 6602752 6641024 7670702 7872512 7918144 8173568 8445268 8717696 8998912 9440864 9745408 10059776 10394176 10729472 10791664 11075584 12792832 12866984 13205504 13282048 15341404 15745024 15836288 16347136 16890536 17435392 17997824 18881728 19490816 20119552 20788352 20908849 21458944 21583328 25585664 25733968 26411008 26564096 30682808 31490048 31672576 32694272 33781072 34870784 35995648 37763456 38981632 41576704 41817698 42917888 43166656 49859563 51171328 51467936 53128192 61365616 62980096 63345152 65388544 67562144 69741568 71991296 75526912 77963264 83153408 83635396 85835776 86333312 99719126 102342656 102935872 106256384 122731232 126690304 130777088 135124288 139483136 143982592 151053824 155926528 166306816 167270792 171671552 172666624 199438252 204685312 205871744 212512768 245462464 253380608 261554176 270248576 278966272 302107648 311853056 332613632 334541584 343343104 345333248 398876504 409370624 411743488 425025536 490924928 506761216 540497152 557932544 604215296 623706112 648174319 665227264 669083168 690666496 797753008 818741248 823486976 850051072 981849856 1013522432 1080994304 1115865088 1208430592 1296348638 1330454528 1338166336 1381332992 1595506016 1646973952 1700102144 1963699712 2027044864 2161988608 2231730176 2416861184 2592697276 2660909056 2676332672 2762665984 3191012032 3293947904 3400204288 3927399424 4054089728 4323977216 4463460352 4833722368 5185394552 5321818112 5352665344 5525331968 6382024064 6587895808 7854798848 8108179456 8647954432 9667444736 10370789104 10643636224 10705330688 11050663936 12764048128 13175791616 15709597696 17295908864 19334889472 20741578208 21410661376 22101327872 25528096256 26351583232 31419195392 34591817728 41483156416 42821322752 44202655744 51056192512 52703166464 62838390784 69183635456 82966312832 85642645504 102112385024 105406332928 125676781568 138367270912 165932625664 171285291008 204224770048 251353563136 331865251328 342570582016 408449540096 663730502656 685141164032 816899080192 1327461005312 1370282328064 1633798160384 2654922010624 3267596320768 5309844021248 10619688042496 21239376084992 42478752169984
- Sum of all divisors σ(n): 95407723839120
- Sum of proper divisors (its aliquot sum) s(n): 52928971669136
- 42478752169984 is an abundant number, because the sum of its proper divisors (52928971669136) is greater than itself. Its abundance is 10450219499152
Bases of 42478752169984
- Binary: 10011010100010010110101110111100000000000000002
- Hexadecimal: 0x26A25AEF0000
- Base-36: F22GW9TZ4
Squares and roots of 42478752169984
- 42478752169984 squared (424787521699842) is 1804444385918920388830560256
- 42478752169984 cubed (424787521699843) is 76650545873968785800918702510654466555904
-
The
square root of 42478752169984 is 6517572.5672971221 -
The
cube root of 42478752169984 is 34891.8435823281
Scales and comparisons
How big is 42478752169984?- 42,478,752,169,984 seconds is equal to 1,350,692 years, 48 weeks, 4 hours, 33 minutes, 4 seconds.
-
To count from 1 to 42,478,752,169,984 would take you about three million, three hundred seventy-six thousand, seven hundred thirty-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 42478752169984 cubic inches would be around 2907.7 feet tall.
Recreational maths with 42478752169984
- 42478752169984 backwards is 48996125787424
- The number of decimal digits it has is: 14
- The sum of 42478752169984's digits is 76
- More coming soon!
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