42135110248032
42,135,110,248,032 is an even composite number composed of five prime numbers multiplied together.
What does the number 42135110248032 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
42135110248032 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 42135110248032:
25 × 35 × 293 × 337 × 54877
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 293 × 337 × 54877)See below for interesting mathematical facts about the number 42135110248032 from the Numbermatics database.
Names of 42135110248032
- Cardinal: 42135110248032 can be written as Forty-two trillion, one hundred thirty-five billion, one hundred ten million, two hundred forty-eight thousand and thirty-two.
Scientific notation
- Scientific notation: 4.2135110248032 × 1013
Factors of 42135110248032
Divisors of 42135110248032
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 293 324 337 432 486 586 648 674 864 879 972 1011 1172 1296 1348 1758 1944 2022 2344 2592 2637 2696 3033 3516 3888 4044 4688 5274 5392 6066 7032 7776 7911 8088 9099 9376 10548 10784 12132 14064 15822 16176 18198 21096 23733 24264 27297 28128 31644 32352 36396 42192 47466 48528 54594 54877 63288 71199 72792 81891 84384 94932 97056 98741 109188 109754 126576 142398 145584 163782 164631 189864 197482 218376 219508 253152 284796 291168 296223 327564 329262 379728 394964 436752 439016 493893 569592 592446 655128 658524 759456 789928 873504 878032 888669 987786 1139184 1184892 1310256 1317048 1481679 1579856 1756064 1777338 1975572 2278368 2369784 2620512 2634096 2666007 2963358 3159712 3554676 3951144 4445037 4739568 5268192 5332014 5926716 7109352 7902288 7998021 8890074 9479136 10664028 11853432 13335111 14218704 15804576 15996042 16078961 17780148 18493549 21328056 23706864 23994063 26670222 28437408 31992084 32157922 35560296 36987098 42656112 47413728 47988126 48236883 53340444 55480647 63984168 64315844 71120592 73974196 85312224 95976252 96473766 106680888 110961294 127968336 128631688 142241184 144710649 147948392 166441941 191952504 192947532 213361776 221922588 255936672 257263376 289421298 295896784 332883882 383905008 385895064 426723552 434131947 443845176 499325823 514526752 578842596 591793568 665767764 767810016 771790128 868263894 887690352 998651646 1157685192 1302395841 1331535528 1497977469 1543580256 1736527788 1775380704 1997303292 2315370384 2604791682 2663071056 2995954938 3473055576 3907187523 3994606584 4493932407 4630740768 5209583364 5326142112 5418609857 5991909876 6946111152 7814375046 7989213168 8987864814 10419166728 10837219714 11983819752 13892222304 15628750092 15978426336 16255829571 17975729628 20838333456 21674439428 23967639504 31257500184 32511659142 35951459256 41676666912 43348878856 47935279008 48767488713 62515000368 65023318284 71902918512 86697757712 97534977426 125030000736 130046636568 143805837024 146302466139 173395515424 195069954852 260093273136 292604932278 390139909704 438907398417 520186546272 585209864556 780279819408 877814796834 1170419729112 1316722195251 1560559638816 1755629593668 2340839458224 2633444390502 3511259187336 4681678916448 5266888781004 7022518374672 10533777562008 14045036749344 21067555124016 42135110248032
- Sum of all divisors σ(n): 125055915278112
- Sum of proper divisors (its aliquot sum) s(n): 82920805030080
- 42135110248032 is an abundant number, because the sum of its proper divisors (82920805030080) is greater than itself. Its abundance is 40785694782048
Bases of 42135110248032
- Binary: 10011001010010010110000100011101100110011000002
- Hexadecimal: 0x265258476660
- Base-36: EXOLOQU00
Squares and roots of 42135110248032
- 42135110248032 squared (421351102480322) is 1775367515613811268559873024
- 42135110248032 cubed (421351102480323) is 74805306001162610952734628015715065888768
-
The
square root of 42135110248032 is 6491156.3105529973 -
The
cube root of 42135110248032 is 34797.5001088885
Scales and comparisons
How big is 42135110248032?- 42,135,110,248,032 seconds is equal to 1,339,766 years, 9 weeks, 3 hours, 7 minutes, 12 seconds.
-
To count from 1 to 42,135,110,248,032 would take you about three million, three hundred forty-nine thousand, four hundred fifteen 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 42135110248032 cubic inches would be around 2899.8 feet tall.
Recreational maths with 42135110248032
- 42135110248032 backwards is 23084201153124
- 42135110248032 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42135110248032's digits is 36
- More coming soon!
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