42007514137710264
42,007,514,137,710,264 is an even composite number composed of five prime numbers multiplied together.
What does the number 42007514137710264 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1056 divisors.
42007514137710264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 42007514137710264:
23 × 310 × 113 × 13 × 22672
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 11 × 13 × 2267 × 2267)See below for interesting mathematical facts about the number 42007514137710264 from the Numbermatics database.
Names of 42007514137710264
- Cardinal: 42007514137710264 can be written as Forty-two quadrillion, seven trillion, five hundred fourteen billion, one hundred thirty-seven million, seven hundred ten thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 4.2007514137710264 × 1016
Factors of 42007514137710264
Divisors of 42007514137710264
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 121 132 143 156 162 198 216 234 242 243 264 286 297 312 324 351 363 396 429 468 484 486 572 594 648 702 726 729 792 858 891 936 968 972 1053 1089 1144 1188 1287 1331 1404 1452 1458 1573 1716 1782 1944 2106 2178 2187 2267 2376 2574 2662 2673 2808 2904 2916 3146 3159 3267 3432 3564 3861 3993 4212 4356 4374 4534 4719 5148 5324 5346 5832 6292 6318 6534 6561 6801 7128 7722 7986 8019 8424 8712 8748 9068 9438 9477 9801 10296 10648 10692 11583 11979 12584 12636 13068 13122 13602 14157 15444 15972 16038 17303 17496 18136 18876 18954 19602 19683 20403 21384 23166 23958 24057 24937 25272 26136 26244 27204 28314 28431 29403 29471 30888 31944 32076 34606 34749 35937 37752 37908 39204 39366 40806 42471 46332 47916 48114 49874 51909 52488 54408 56628 56862 58806 58942 59049 61209 64152 69212 69498 71874 72171 74811 75816 78408 78732 81612 84942 85293 88209 88413 92664 95832 96228 99748 103818 104247 107811 113256 113724 117612 117884 118098 122418 127413 138424 138996 143748 144342 149622 155727 157464 163224 169884 170586 176418 176826 183627 192456 199496 207636 208494 215622 216513 224433 227448 235224 235768 236196 244836 254826 255879 264627 265239 274307 277992 287496 288684 299244 311454 312741 323433 324181 339768 341172 352836 353652 367254 382239 415272 416988 431244 433026 448866 467181 472392 489672 509652 511758 529254 530478 548614 550881 577368 598488 622908 625482 646866 648362 649539 673299 682344 705672 707304 734508 764478 767637 793881 795717 822921 833976 862488 866052 897732 934362 938223 970299 972543 1019304 1023516 1058508 1060956 1097228 1101762 1146717 1245816 1250964 1293732 1296724 1299078 1346598 1401543 1469016 1528956 1535274 1587762 1591434 1645842 1652643 1732104 1795464 1868724 1876446 1940598 1945086 2019897 2047032 2117016 2121912 2194456 2203524 2293434 2381643 2387151 2468763 2501928 2587464 2593448 2598156 2693196 2803086 2814669 2910897 2917629 3017377 3057912 3070548 3175524 3182868 3291684 3305286 3440151 3565991 3737448 3752892 3881196 3890172 4039794 4204629 4407048 4586868 4763286 4774302 4937526 4957929 5139289 5196312 5386392 5606172 5629338 5821794 5835258 6034754 6059691 6141096 6351048 6365736 6583368 6610572 6880302 7131982 7144929 7161453 7406289 7505784 7762392 7780344 8079588 8409258 8444007 8732691 8752887 9052131 9173736 9526572 9548604 9875052 9915858 10278578 10320453 10697973 11212344 11258676 11643588 11670516 12069508 12119382 12613887 13221144 13760604 14263964 14289858 14322906 14812578 14873787 15417867 16159176 16818516 16888014 17465382 17505774 18104262 18179073 19053144 19097208 19750104 19831716 20557156 20640906 21395946 21484359 22218867 22517352 23287176 23341032 24139016 24238764 25227774 26198073 26258661 27156393 27521208 28527928 28579716 28645812 29625156 29747574 30835734 30961359 32093919 33637032 33776028 34930764 35011548 36208524 36358146 37841661 39225901 39663432 41114312 41281812 42791892 42968718 44437734 44621361 46253601 48477528 50455548 52396146 52517322 54312786 54537219 56532179 57159432 57291624 59250312 59495148 61671468 61922718 64187838 64453077 66656601 66810757 67552056 69861528 70023096 72417048 72716292 75683322 78451802 78594219 78775983 81469179 82563624 85583784 85937436 88875468 89242722 92507202 92884077 96281757 100911096 104792292 105034644 108625572 109074438 113064358 113524983 117677703 118990296 123342936 123845436 128375676 128906154 133313202 133621514 133864083 138760803 145432584 151366644 156903604 157188438 157551966 162938358 163611657 169596537 171874872 177750936 178485444 185014404 185768154 192563514 193359231 199969803 200432271 209584584 210069288 217251144 218148876 226128716 227049966 235355406 236327949 244407537 247690872 256751352 257812308 266626404 267243028 267728166 277521606 288845271 302733288 313807208 314376876 315103932 325876716 327223314 339193074 340574949 353033109 356970888 370028808 371536308 385127028 386718462 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1213879504644 1309624458714 1315036130031 1359994630203 1425384755784 1428681227688 1477525030344 1483630505676 1544166818766 1600652116206 1607266381149 1662215659137 1684545620472 1746165944952 1753381506708 1813326173604 1964436688071 2058889091688 2134202821608 2143021841532 2216287545516 2225445758514 2316250228149 2400978174309 2427759009288 2619248917428 2630072260062 2719989260406 2967261011352 3088333637532 3201304232412 3214532762298 3324431318274 3338168637771 3506763013416 3626652347208 3928873376142 3945108390093 4079983890609 4286043683064 4432575091032 4450891517028 4632500456298 4801956348618 4821799143447 4986646977411 5238497834856 5260144520124 5439978520812 5893310064213 6176667275064 6402608464824 6429065524596 6648862636548 6676337275542 7202934522927 7857746752284 7890216780186 8159967781218 8901783034056 9265000912596 9603912697236 9643598286894 9973293954822 10520289040248 10879957041624 11786620128426 12239951671827 12858131049192 13297725273096 13352674551084 14405869045854 14465397430341 14959940932233 15715493504568 15780433560372 16319935562436 17679930192639 18530001825192 19207825394472 19287196573788 19946587909644 21608803568781 23573240256852 24479903343654 26705349102168 28811738091708 28930794860682 29919881864466 31560867120744 32639871124872 35359860385278 36719855015481 38574393147576 39893175819288 43217607137562 43396192291023 44879822796699 47146480513704 48959806687308 53039790577917 57623476183416 57861589721364 59839763728932 64826410706343 70719720770556 73439710030962 86435214275124 86792384582046 89759645593398 97919613374616 106079581155834 115723179442728 119679527457864 129652821412686 134639468390097 141439441541112 146879420061924 159119371733751 172870428550248 173584769164092 179519291186796 194479232119029 212159162311668 259305642825372 269278936780194 293758840123848 318238743467502 347169538328184 359038582373592 388958464238058 403918405170291 424318324623336 477358115201253 518611285650744 538557873560388 583437696357087 636477486935004 777916928476116 807836810340582 954716230402506 1077115747120776 1166875392714174 1272954973870008 1555833856952232 1615673620681164 1750313089071261 1909432460805012 2333750785428348 3231347241362328 3500626178142522 3818864921610024 4667501570856696 5250939267213783 7001252356285044 10501878534427566 14002504712570088 21003757068855132 42007514137710264
- Sum of all divisors σ(n): 140009137721817840
- Sum of proper divisors (its aliquot sum) s(n): 98001623584107576
- 42007514137710264 is an abundant number, because the sum of its proper divisors (98001623584107576) is greater than itself. Its abundance is 55994109446397312
Bases of 42007514137710264
- Binary: 100101010011110110011100100011100001001101001110101110002
- Hexadecimal: 0x953D9C8E134EB8
- Base-36: BHMF5KZPVI0
Squares and roots of 42007514137710264
- 42007514137710264 squared (420075141377102642) is 1764631244029927704811508810949696
- 42007514137710264 cubed (420075141377102643) is 74127771931432438956867091867599656609952726879744
-
The
square root of 42007514137710264 is 204957347.1181510585 -
The
cube root of 42007514137710264 is 347623.3928897525
Scales and comparisons
How big is 42007514137710264?- 42,007,514,137,710,264 seconds is equal to 1,335,709,011 years, 41 weeks, 6 days, 13 hours, 44 minutes, 24 seconds.
-
To count from 1 to 42,007,514,137,710,264 would take you about four billion, seven million, one hundred twenty-seven thousand and thirty-five 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 42007514137710264 cubic inches would be around 28968.6 feet tall.
Recreational maths with 42007514137710264
- 42007514137710264 backwards is 46201773141570024
- 42007514137710264 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42007514137710264's digits is 54
- More coming soon!
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"Number 42007514137710264 - Facts about the integer". Numbermatics.com. 2024. Web. 22 September 2024.
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The information we have on file for 42007514137710264 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 42007514137710264, math, Factors of 42007514137710264, curriculum, school, college, exams, university, Prime factorization of 42007514137710264, STEM, science, technology, engineering, physics, economics, calculator, forty-two quadrillion, seven trillion, five hundred fourteen billion, one hundred thirty-seven million, seven hundred ten thousand, two hundred sixty-four.