13742231605999000
13,742,231,605,999,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13742231605999000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
13742231605999000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13742231605999000:
23 × 53 × 13 × 37 × 3172 × 284311
(2 × 2 × 2 × 5 × 5 × 5 × 13 × 37 × 317 × 317 × 284311)See below for interesting mathematical facts about the number 13742231605999000 from the Numbermatics database.
Names of 13742231605999000
- Cardinal: 13742231605999000 can be written as Thirteen quadrillion, seven hundred forty-two trillion, two hundred thirty-one billion, six hundred five million, nine hundred ninety-nine thousand.
Scientific notation
- Scientific notation: 1.3742231605999 × 1016
Factors of 13742231605999000
Divisors of 13742231605999000
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 13 20 25 26 37 40 50 52 65 74 100 104 125 130 148 185 200 250 260 296 317 325 370 481 500 520 634 650 740 925 962 1000 1268 1300 1480 1585 1625 1850 1924 2405 2536 2600 3170 3250 3700 3848 4121 4625 4810 6340 6500 7400 7925 8242 9250 9620 11729 12025 12680 13000 15850 16484 18500 19240 20605 23458 24050 31700 32968 37000 39625 41210 46916 48100 58645 60125 63400 79250 82420 93832 96200 100489 103025 117290 120250 152477 158500 164840 200978 206050 234580 240500 284311 293225 304954 317000 401956 412100 469160 481000 502445 515125 568622 586450 609908 762385 803912 824200 1004890 1030250 1137244 1172900 1219816 1306357 1421555 1466125 1524770 2009780 2060500 2274488 2345800 2512225 2612714 2843110 2932250 3049540 3696043 3718093 3811925 4019560 4121000 5024450 5225428 5686220 5864500 6099080 6531785 7107775 7392086 7436186 7623850 10048900 10450856 10519507 11372440 11729000 12561125 13063570 14215550 14784172 14872372 15247700 18480215 18590465 19059625 20097800 21039014 25122250 26127140 28431100 29568344 29744744 30495400 32658925 35538875 36960430 37180930 38119250 42078028 48335209 50244500 52254280 52597535 56862200 65317850 71077750 73920860 74361860 76238500 84156056 90126587 92401075 92952325 96670418 100489000 105195070 130635700 136753591 142155500 147841720 148723720 152477000 163294625 180253174 184802150 185904650 193340836 210390140 241676045 261271400 262987675 273507182 284311000 326589250 360506348 369604300 371809300 386681672 420780280 450632935 462005375 464761625 483352090 525975350 547014364 653178500 683767955 721012696 739208600 743618600 901265870 924010750 929523250 966704180 1051950700 1094028728 1171645631 1208380225 1306357000 1314938375 1367535910 1802531740 1848021500 1859046500 1933408360 2103901400 2253164675 2343291262 2416760450 2629876750 2735071820 3334683719 3418839775 3605063480 3696043000 3718093000 4506329350 4686582524 4833520900 5259753500 5470143640 5858228155 6041901125 6669367438 6837679550 9012658700 9373165048 9667041800 10519507000 11265823375 11716456310 12083802250 13338734876 13675359100 16673418595 17094198875 18025317400 22531646750 23432912620 24167604500 26677469752 27350718200 28570128079 29291140775 33346837190 34188397750 43350888347 45063293500 46865825240 48335209000 57140256158 58582281550 66693674380 68376795500 83367092975 86701776694 90126587000 114280512316 117164563100 133387348760 136753591000 142850640395 146455703875 166734185950 173403553388 216754441735 228561024632 234329126200 285701280790 292911407750 333468371900 346807106776 371411665027 416835464875 433508883470 571402561580 585822815500 666936743800 714253201975 742823330054 833670929750 867017766940 1057094738923 1083772208675 1142805123160 1171645631000 1428506403950 1485646660108 1667341859500 1734035533880 1857058325135 2114189477846 2167544417350 2857012807900 2971293320216 3334683719000 3571266009875 3714116650270 4228378955692 4335088834700 5285473694615 5418861043375 5714025615800 7142532019750 7428233300540 8456757911384 8670177669400 9285291625675 10570947389230 10837722086750 13742231605999 14285064039500 14856466601080 18570583251350 21141894778460 21675444173500 26427368473075 27484463211998 28570128079000 37141166502700 42283789556920 43350888347000 46426458128375 52854736946150 54968926423996 68711158029995 74282333005400 92852916256750 105709473892300 109937852847992 132136842365375 137422316059990 185705832513500 211418947784600 264273684730750 274844632119980 343555790149975 371411665027000 528547369461500 549689264239960 687111580299950 1057094738923000 1374223160599900 1717778950749875 2748446321199800 3435557901499750 6871115802999500 13742231605999000
- Sum of all divisors σ(n): 35679057254305920
- Sum of proper divisors (its aliquot sum) s(n): 21936825648306920
- 13742231605999000 is an abundant number, because the sum of its proper divisors (21936825648306920) is greater than itself. Its abundance is 8194594042307920
Bases of 13742231605999000
- Binary: 1100001101001001111100101000010100101111110101100110002
- Hexadecimal: 0x30D27CA14BF598
- Base-36: 3RB7Q1OB0YG
Squares and roots of 13742231605999000
- 13742231605999000 squared (137422316059990002) is 188848929512917854772788001000000
- 13742231605999000 cubed (137422316059990003) is 2595205727911497080210812298224986817999000000000
-
The
square root of 13742231605999000 is 117227264.7723173655 -
The
cube root of 13742231605999000 is 239525.8672177105
Scales and comparisons
How big is 13742231605999000?- 13,742,231,605,999,000 seconds is equal to 436,960,457 years, 28 weeks, 6 days, 21 hours, 56 minutes, 40 seconds.
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To count from 1 to 13,742,231,605,999,000 would take you about one billion, three hundred ten million, eight hundred eighty-one thousand, three hundred seventy-two 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 13742231605999000 cubic inches would be around 19960.5 feet tall.
Recreational maths with 13742231605999000
- 13742231605999000 backwards is 00099950613224731
- The number of decimal digits it has is: 17
- The sum of 13742231605999000's digits is 61
- More coming soon!
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