42148583424
42,148,583,424 is an even composite number composed of five prime numbers multiplied together.
42148583424 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 42148583424:
211 × 32 × 19 × 61 × 1973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 19 × 61 × 1973)See below for interesting mathematical facts about the number 42148583424 from the Numbermatics database.
Names of 42148583424
- Cardinal: 42148583424 can be written as Forty-two billion, one hundred forty-eight million, five hundred eighty-three thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 4.2148583424 × 1010
Factors of 42148583424
Divisors of 42148583424
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 61 64 72 76 96 114 122 128 144 152 171 183 192 228 244 256 288 304 342 366 384 456 488 512 549 576 608 684 732 768 912 976 1024 1098 1152 1159 1216 1368 1464 1536 1824 1952 1973 2048 2196 2304 2318 2432 2736 2928 3072 3477 3648 3904 3946 4392 4608 4636 4864 5472 5856 5919 6144 6954 7296 7808 7892 8784 9216 9272 9728 10431 10944 11712 11838 13908 14592 15616 15784 17568 17757 18432 18544 19456 20862 21888 23424 23676 27816 29184 31232 31568 35136 35514 37088 37487 38912 41724 43776 46848 47352 55632 58368 62464 63136 70272 71028 74176 74974 83448 87552 93696 94704 111264 112461 116736 120353 124928 126272 140544 142056 148352 149948 166896 175104 187392 189408 222528 224922 240706 252544 281088 284112 296704 299896 333792 337383 350208 361059 374784 378816 445056 449844 481412 505088 562176 568224 593408 599792 667584 674766 722118 757632 890112 899688 962824 1010176 1083177 1124352 1136448 1186816 1199584 1335168 1349532 1444236 1515264 1780224 1799376 1925648 2020352 2166354 2272896 2286707 2373632 2399168 2670336 2699064 2888472 3030528 3560448 3598752 3851296 4040704 4332708 4545792 4573414 4798336 5340672 5398128 5776944 6061056 6860121 7120896 7197504 7702592 8665416 9091584 9146828 9596672 10681344 10796256 11553888 12122112 13720242 14395008 15405184 17330832 18183168 18293656 19193344 20580363 21362688 21592512 23107776 27440484 28790016 30810368 34661664 36366336 36587312 38386688 41160726 43185024 46215552 54880968 57580032 61620736 69323328 73174624 76773376 82321452 86370048 92431104 109761936 115160064 123241472 138646656 146349248 164642904 172740096 184862208 219523872 230320128 246482944 277293312 292698496 329285808 345480192 369724416 439047744 554586624 585396992 658571616 690960384 739448832 878095488 1109173248 1170793984 1317143232 1756190976 2218346496 2341587968 2634286464 3512381952 4683175936 5268572928 7024763904 10537145856 14049527808 21074291712 42148583424
- Sum of all divisors σ(n): 130306503600
- Sum of proper divisors (its aliquot sum) s(n): 88157920176
- 42148583424 is an abundant number, because the sum of its proper divisors (88157920176) is greater than itself. Its abundance is 46009336752
Bases of 42148583424
- Binary: 1001110100000100000001011000000000002
- Hexadecimal: 0x9D0405800
- Base-36: JD26F40
Squares and roots of 42148583424
- 42148583424 squared (421485834242) is 1776503084649887563776
- 42148583424 cubed (421485834243) is 74877088466359119814032856449024
-
The
square root of 42148583424 is 205301.2017110469 -
The
cube root of 42148583424 is 3480.1208677797
Scales and comparisons
How big is 42148583424?- 42,148,583,424 seconds is equal to 1,340 years, 10 weeks, 19 hours, 50 minutes, 24 seconds.
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To count from 1 to 42,148,583,424 would take you about two thousand, six hundred eighty 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 42148583424 cubic inches would be around 290 feet tall.
Recreational maths with 42148583424
- 42148583424 backwards is 42438584124
- The number of decimal digits it has is: 11
- The sum of 42148583424's digits is 45
- More coming soon!
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