138548816621800
138,548,816,621,800 is an even composite number composed of seven prime numbers multiplied together.
138548816621800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138548816621800:
23 × 52 × 13 × 37 × 41 × 67 × 524287
(2 × 2 × 2 × 5 × 5 × 13 × 37 × 41 × 67 × 524287)See below for interesting mathematical facts about the number 138548816621800 from the Numbermatics database.
Names of 138548816621800
- Cardinal: 138548816621800 can be written as One hundred thirty-eight trillion, five hundred forty-eight billion, eight hundred sixteen million, six hundred twenty-one thousand, eight hundred.
Scientific notation
- Scientific notation: 1.385488166218 × 1014
Factors of 138548816621800
Divisors of 138548816621800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 5 8 10 13 20 25 26 37 40 41 50 52 65 67 74 82 100 104 130 134 148 164 185 200 205 260 268 296 325 328 335 370 410 481 520 533 536 650 670 740 820 871 925 962 1025 1066 1300 1340 1480 1517 1640 1675 1742 1850 1924 2050 2132 2405 2479 2600 2665 2680 2747 3034 3350 3484 3700 3848 4100 4264 4355 4810 4958 5330 5494 6068 6700 6968 7400 7585 8200 8710 9620 9916 10660 10988 12025 12136 12395 13325 13400 13735 15170 17420 19240 19721 19832 21320 21775 21976 24050 24790 26650 27470 30340 32227 34840 35711 37925 39442 43550 48100 49580 53300 54940 60680 61975 64454 68675 71422 75850 78884 87100 96200 98605 99160 101639 106600 109880 123950 128908 137350 142844 151700 157768 161135 174200 178555 197210 203278 247900 257816 274700 285688 303400 322270 357110 394420 406556 493025 495800 508195 524287 549400 644540 714220 788840 805675 813112 892775 986050 1016390 1048574 1289080 1321307 1428440 1611350 1785550 1972100 2032780 2097148 2540975 2621435 2642614 3222700 3571100 3944200 4065560 4194296 5081950 5242870 5285228 6445400 6606535 6815731 7142200 10163900 10485740 10570456 13107175 13213070 13631462 19398619 20327800 20971480 21495767 26214350 26426140 27262924 33032675 34078655 35127229 38797238 42991534 52428700 52852280 54525848 66065350 68157310 70254458 77594476 85983068 96993095 104857400 107478835 132130700 136314620 140508916 155188952 170393275 171966136 175636145 193986190 214957670 252182047 264261400 272629240 279444971 281017832 340786550 351272290 387972380 429915340 456653977 484965475 504364094 537394175 558889942 681573100 702544580 775944760 795343379 859830680 878180725 913307954 969930950 1008728188 1074788350 1117779884 1260910235 1299707473 1363146200 1397224855 1405089160 1440216389 1590686758 1756361450 1826615908 1939861900 2017456376 2149576700 2235559768 2283269885 2521820470 2599414946 2794449710 2880432778 3181373516 3512722900 3653231816 3879723800 3976716895 4299153400 4566539770 5043640940 5198829892 5588899420 5760865556 6304551175 6362747032 6498537365 6986124275 7025445800 7201081945 7953433790 9133079540 10087281880 10339463927 10397659784 11177798840 11416349425 11521731112 12609102350 12997074730 13972248550 14402163890 15906867580 16896197149 18266159080 18722813057 19883584475 20678927854 22832698850 25218204700 25994149460 27944497100 28804327780 31813735160 32492686825 33792394298 36005409725 37445626114 39767168950 41357855708 45665397700 50436409400 51697319635 51988298920 53288006393 55888994200 57608655560 64985373650 67584788596 72010819450 74891252228 79534337900 82715711416 84480985745 91330795400 93614065285 103394639270 106576012786 129970747300 135169577192 144021638900 149782504456 159068675800 168961971490 187228130570 206789278540 213152025572 258486598175 259941494600 266440031965 288043277800 337923942980 374456261140 413578557080 422404928725 426304051144 468070326425 516973196350 532880063930 675847885960 692744083109 748912522280 844809857450 936140652850 1033946392700 1065760127860 1332200159825 1385488166218 1689619714900 1872281305700 2067892785400 2131520255720 2664400319650 2770976332436 3379239429800 3463720415545 3744562611400 5328800639300 5541952664872 6927440831090 10657601278600 13854881662180 17318602077725 27709763324360 34637204155450 69274408310900 138548816621800
- Sum of all divisors σ(n): 370418531696640
- Sum of proper divisors (its aliquot sum) s(n): 231869715074840
- 138548816621800 is an abundant number, because the sum of its proper divisors (231869715074840) is greater than itself. Its abundance is 93320898453040
Bases of 138548816621800
- Binary: 111111000000010011010001111111110110000111010002
- Hexadecimal: 0x7E0268FFB0E8
- Base-36: 1D40G46X2G
Squares and roots of 138548816621800
- 138548816621800 squared (1385488166218002) is 19195774587301163964235240000
- 138548816621800 cubed (1385488166218003) is 2659551853209397541050522600437312232000000
-
The
square root of 138548816621800 is 11770676.1327376601 -
The
cube root of 138548816621800 is 51744.9065439707
Scales and comparisons
How big is 138548816621800?- 138,548,816,621,800 seconds is equal to 4,405,423 years, 42 weeks, 10 hours, 56 minutes, 40 seconds.
-
To count from 1 to 138,548,816,621,800 would take you about eleven million, thirteen thousand, five hundred fifty-nine 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 138548816621800 cubic inches would be around 4312.1 feet tall.
Recreational maths with 138548816621800
- 138548816621800 backwards is 008126618845831
- The number of decimal digits it has is: 15
- The sum of 138548816621800's digits is 61
- More coming soon!
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