42132407141968
42,132,407,141,968 is an even composite number composed of five prime numbers multiplied together.
What does the number 42132407141968 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 400 divisors.
42132407141968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred divisors.
Prime factorization of 42132407141968:
24 × 11 × 134 × 17 × 793
(2 × 2 × 2 × 2 × 11 × 13 × 13 × 13 × 13 × 17 × 79 × 79 × 79)See below for interesting mathematical facts about the number 42132407141968 from the Numbermatics database.
Names of 42132407141968
- Cardinal: 42132407141968 can be written as Forty-two trillion, one hundred thirty-two billion, four hundred seven million, one hundred forty-one thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2132407141968 × 1013
Factors of 42132407141968
Divisors of 42132407141968
- Number of divisors d(n): 400
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Complete list of divisors:
1 2 4 8 11 13 16 17 22 26 34 44 52 68 79 88 104 136 143 158 169 176 187 208 221 272 286 316 338 374 442 572 632 676 748 869 884 1027 1144 1264 1343 1352 1496 1738 1768 1859 2054 2197 2288 2431 2686 2704 2873 2992 3476 3536 3718 4108 4394 4862 5372 5746 6241 6952 7436 8216 8788 9724 10744 11297 11492 12482 13351 13904 14773 14872 16432 17459 17576 19448 21488 22594 22984 24167 24964 26702 28561 29546 29744 31603 34918 35152 37349 38896 45188 45968 48334 49928 53404 57122 59092 63206 68651 69836 74698 81133 90376 96668 99856 106097 106808 114244 118184 126412 137302 139672 146861 149396 162266 173563 180752 192049 193336 212194 213616 226967 228488 236368 252824 274604 279344 293722 298792 314171 324532 347126 384098 386672 410839 424388 453934 456976 485537 493039 505648 549208 587444 597584 628342 649064 694252 768196 821678 848776 892463 907868 971074 986078 1054729 1098416 1167067 1174888 1256684 1298128 1379261 1388504 1536392 1643356 1697552 1784926 1815736 1909193 1942148 1972156 2109458 2256319 2334134 2349776 2496637 2513368 2758522 2777008 2950571 3072784 3286712 3569852 3631472 3818386 3884296 3944312 4218916 4512638 4668268 4993274 5026736 5340907 5423429 5517044 5901142 6409507 6573424 7139704 7636772 7768592 7888624 8381663 8437832 9025276 9336536 9986548 10681814 10846858 11034088 11602019 11802284 12819014 13711477 14279408 15171871 15273544 16763326 16875664 17930393 18050552 18673072 19973096 21363628 21693716 22068176 23204038 23604568 24819509 25638028 27422954 30343742 30547088 32456281 33526652 35860786 36101104 38357423 39946192 42727256 43387432 46408076 47209136 49639018 51276056 54845908 60687484 64912562 67053304 70504577 71721572 76714846 83323591 85454512 86774864 92198293 92816152 99278036 102552112 108961619 109691816 121374968 129825124 134106608 141009154 143443144 150826247 153429692 166647182 178249201 184396586 185632304 197234323 198556072 217923238 219383632 233095109 242749936 259650248 282018308 286886288 301652494 306859384 333294364 356498402 368793172 394468646 397112144 421931653 435846476 466190218 519300496 564036616 603304988 613718768 666588728 712996804 737586344 788937292 843863306 871692952 916559501 932380436 1083206683 1128073232 1198577809 1206609976 1333177456 1416501047 1425993608 1475172688 1577874584 1687726612 1743385904 1833119002 1864760872 1960741211 2166413366 2397155618 2413219952 2564046199 2833002094 2851987216 3030236417 3155749168 3375453224 3666238004 3729521744 3921482422 4332826732 4794311236 5128092398 5666004188 6060472834 6750906448 7332476008 7842964844 8665653464 9588622472 10256184796 11332008376 11915273513 12120945668 14081686879 14664952016 15581511517 15685929688 17331306928 18414513611 19177244944 20512369592 22664016752 23830547026 24241891336 28163373758 31163023034 31371859376 33332600587 36829027222 41024739184 47661094052 48483782672 56326747516 62326046068 66665201174 73658054444 95322188104 112653495032 124652092136 133330402348 147316108888 154898555669 190644376208 202559649721 225306990064 239388676943 249304184272 266660804696 294632217776 309797111338 405119299442 478777353886 533321609392 619594222676 810238598884 957554707772 1239188445352 1620477197768 1915109415544 2478376890704 2633275446373 3240954395536 3830218831088 5266550892746 10533101785492 21066203570984 42132407141968
- Sum of all divisors σ(n): 103457872200960
- Sum of proper divisors (its aliquot sum) s(n): 61325465058992
- 42132407141968 is an abundant number, because the sum of its proper divisors (61325465058992) is greater than itself. Its abundance is 19193057917024
Bases of 42132407141968
- Binary: 10011001010001101101110010100101000110010100002
- Hexadecimal: 0x2651B7294650
- Base-36: EXNCZDW0G
Squares and roots of 42132407141968
- 42132407141968 squared (421324071419682) is 1775139731576556134106913024
- 42132407141968 cubed (421324071419683) is 74790909904667252112999562287658996191232
-
The
square root of 42132407141968 is 6490948.0926878471 -
The
cube root of 42132407141968 is 34796.7559682377
Scales and comparisons
How big is 42132407141968?- 42,132,407,141,968 seconds is equal to 1,339,680 years, 11 weeks, 4 days, 4 hours, 19 minutes, 28 seconds.
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To count from 1 to 42,132,407,141,968 would take you about three million, three hundred forty-nine thousand, two hundred 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 42132407141968 cubic inches would be around 2899.7 feet tall.
Recreational maths with 42132407141968
- 42132407141968 backwards is 86914170423124
- 42132407141968 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42132407141968's digits is 52
- More coming soon!
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