40985437232179440
40,985,437,232,179,440 is an even composite number composed of seven prime numbers multiplied together.
40985437232179440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 40985437232179440:
24 × 32 × 5 × 7 × 11 × 13 × 56867351027
(2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 13 × 56867351027)See below for interesting mathematical facts about the number 40985437232179440 from the Numbermatics database.
Names of 40985437232179440
- Cardinal: 40985437232179440 can be written as Forty quadrillion, nine hundred eighty-five trillion, four hundred thirty-seven billion, two hundred thirty-two million, one hundred seventy-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 4.098543723217944 × 1016
Factors of 40985437232179440
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 56867351068
Divisors of 40985437232179440
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 26 28 30 33 35 36 39 40 42 44 45 48 52 55 56 60 63 65 66 70 72 77 78 80 84 88 90 91 99 104 105 110 112 117 120 126 130 132 140 143 144 154 156 165 168 176 180 182 195 198 208 210 220 231 234 240 252 260 264 273 280 286 308 312 315 330 336 360 364 385 390 396 420 429 440 455 462 468 495 504 520 528 546 560 572 585 616 624 630 660 693 715 720 728 770 780 792 819 840 858 880 910 924 936 990 1001 1008 1040 1092 1144 1155 1170 1232 1260 1287 1320 1365 1386 1430 1456 1540 1560 1584 1638 1680 1716 1820 1848 1872 1980 2002 2145 2184 2288 2310 2340 2520 2574 2640 2730 2772 2860 3003 3080 3120 3276 3432 3465 3640 3696 3960 4004 4095 4290 4368 4620 4680 5005 5040 5148 5460 5544 5720 6006 6160 6435 6552 6864 6930 7280 7920 8008 8190 8580 9009 9240 9360 10010 10296 10920 11088 11440 12012 12870 13104 13860 15015 16016 16380 17160 18018 18480 20020 20592 21840 24024 25740 27720 30030 32760 34320 36036 40040 45045 48048 51480 55440 60060 65520 72072 80080 90090 102960 120120 144144 180180 240240 360360 720720 56867351027 113734702054 170602053081 227469404108 284336755135 341204106162 398071457189 454938808216 511806159243 568673510270 625540861297 682408212324 739275563351 796142914378 853010265405 909877616432 1023612318486 1137347020540 1194214371567 1251081722594 1364816424648 1478551126702 1592285828756 1706020530810 1876622583891 1990357285945 2047224636972 2217826690053 2274694041080 2388428743134 2502163445188 2559030796215 2729632849296 2957102253404 3127704306485 3184571657512 3412041061620 3582643114701 3696377816755 3753245167782 3980714571890 4094449273944 4378786029079 4435653380106 4549388082160 4776857486268 5004326890376 5118061592430 5174928943457 5629867751673 5914204506808 5971071857835 6255408612970 6369143315024 6653480070159 6824082123240 7165286229402 7392755633510 7506490335564 7961429143780 8132031196861 8188898547888 8757572058158 8871306760212 9383112919455 9553714972536 10008653780752 10236123184860 10349857886914 11089133450265 11259735503346 11828409013616 11942143715670 12510817225940 13136358087237 13306960140318 13648164246480 14330572458804 14785511267020 15012980671128 15524786830371 15922858287560 16264062393722 17515144116316 17742613520424 17913215573505 18766225838910 19107429945072 20472246369720 20699715773828 21893930145395 22178266900530 22519471006692 23884287431340 24396093590583 25021634451880 25874644717285 26272716174474 26613920280636 28149338758365 28661144917608 29571022534040 30025961342256 31049573660742 31845716575120 32528124787444 33267400350795 35030288232632 35485227040848 35826431147010 37532451677820 39409074261711 40660155984305 40944492739440 41399431547656 43787860290790 44356533801060 45038942013384 46574360491113 47768574862680 48792187181166 50043268903760 51749289434570 52545432348948 53227840561272 56298677516730 56924218378027 57322289835216 59142045068080 62099147321484 65056249574888 65681790436185 66534800701590 70060576465264 71652862294020 73188280771749 75064903355640 77623934151855 78818148523422 81320311968610 82798863095312 87575720581580 88713067602120 90077884026768 93148720982226 95537149725360 97584374362332 103498578869140 105090864697896 106455681122544 112597355033460 113848436756054 121980467952915 124198294642968 130112499149776 131363580872370 133069601403180 143305724588040 146376561543498 150129806711280 155247868303710 157636297046844 162640623937220 170772655134081 175151441163160 177426135204240 186297441964452 195168748724664 197045371308555 206997157738280 210181729395792 225194710066920 227696873512108 232871802455565 243960935905830 248396589285936 262727161744740 266139202806360 284621091890135 286611449176080 292753123086996 310495736607420 315272594093688 325281247874440 341545310268162 350302882326320 365941403858745 372594883928904 390337497449328 394090742617110 413994315476560 450389420133840 455393747024216 465743604911130 487921871811660 512317965402243 525454323489480 532278405612720 569242183780270 585506246173992 620991473214840 630545188187376 650562495748880 683090620536324 731882807717490 745189767857808 788181485234220 853863275670405 910787494048432 931487209822260 975843743623320 1024635930804486 1050908646978960 1138484367560540 1171012492347984 1241982946429680 1366181241072648 1463765615434980 1576362970468440 1707726551340810 1862974419644520 1951687487246640 2049271861608972 2276968735121080 2561589827011215 2732362482145296 2927531230869960 3152725940936880 3415453102681620 3725948839289040 4098543723217944 4553937470242160 5123179654022430 5855062461739920 6830906205363240 8197087446435888 10246359308044860 13661812410726480 20492718616089720 40985437232179440
- Sum of all divisors σ(n): 184807062431986176
- Sum of proper divisors (its aliquot sum) s(n): 143821625199806736
- 40985437232179440 is an abundant number, because the sum of its proper divisors (143821625199806736) is greater than itself. Its abundance is 102836187967627296
Bases of 40985437232179440
- Binary: 100100011001110000001001101110110011000000101000111100002
- Hexadecimal: 0x919C09BB3028F0
- Base-36: B7K4HXNEQK0
Squares and roots of 40985437232179440
- 40985437232179440 squared (409854372321794402) is 1679806065112920675537852358713600
- 40985437232179440 cubed (409854372321794403) is 68847586043919939739775548174157913292002768384000
-
The
square root of 40985437232179440 is 202448603.9274646121 -
The
cube root of 40985437232179440 is 344780.8935231599
Scales and comparisons
How big is 40985437232179440?- 40,985,437,232,179,440 seconds is equal to 1,303,210,127 years, 36 weeks, 3 days, 13 hours, 24 minutes.
-
To count from 1 to 40,985,437,232,179,440 would take you about three billion, nine hundred nine million, six hundred thirty thousand, three hundred eighty-three 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 40985437232179440 cubic inches would be around 28731.7 feet tall.
Recreational maths with 40985437232179440
- 40985437232179440 backwards is 04497123273458904
- 40985437232179440 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40985437232179440's digits is 72
- More coming soon!
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