138238696361446400
138,238,696,361,446,400 is an even composite number composed of five prime numbers multiplied together.
138238696361446400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 138238696361446400:
210 × 52 × 1812 × 1033 × 159563
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 181 × 181 × 1033 × 159563)See below for interesting mathematical facts about the number 138238696361446400 from the Numbermatics database.
Names of 138238696361446400
- Cardinal: 138238696361446400 can be written as One hundred thirty-eight quadrillion, two hundred thirty-eight trillion, six hundred ninety-six billion, three hundred sixty-one million, four hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.382386963614464 × 1017
Factors of 138238696361446400
Divisors of 138238696361446400
- Number of divisors d(n): 396
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 181 200 256 320 362 400 512 640 724 800 905 1024 1033 1280 1448 1600 1810 2066 2560 2896 3200 3620 4132 4525 5120 5165 5792 6400 7240 8264 9050 10330 11584 12800 14480 16528 18100 20660 23168 25600 25825 28960 32761 33056 36200 41320 46336 51650 57920 65522 66112 72400 82640 92672 103300 115840 131044 132224 144800 159563 163805 165280 185344 186973 206600 231680 262088 264448 289600 319126 327610 330560 373946 413200 463360 524176 528896 579200 638252 655220 661120 747892 797815 819025 826400 926720 934865 1048352 1057792 1158400 1276504 1310440 1322240 1495784 1595630 1638050 1652800 1869730 2096704 2316800 2553008 2620880 2644480 2991568 3191260 3276100 3305600 3739460 3989075 4193408 4633600 4674325 5106016 5241760 5288960 5983136 6382520 6552200 6611200 7478920 7978150 8386816 9348650 10212032 10483520 11966272 12765040 13104400 13222400 14957840 15956300 16773632 18697300 20424064 20967040 23932544 25530080 26208800 26444800 28880903 29915680 31912600 33547264 33842113 37394600 40848128 41934080 47865088 51060160 52417600 57761806 59831360 63825200 67684226 74789200 81696256 83868160 95730176 102120320 104835200 115523612 119662720 127650400 135368452 144404515 149578400 163392512 164828579 167736320 169210565 191460352 204240640 209670400 231047224 239325440 255300800 270736904 288809030 299156800 329657158 338421130 408481280 419340800 462094448 478650880 510601600 541473808 577618060 598313600 659314316 676842260 722022575 816962560 824142895 838681600 846052825 924188896 957301760 1021203200 1082947616 1155236120 1196627200 1318628632 1353684520 1444045150 1648285790 1692105650 1848377792 2042406400 2165895232 2310472240 2393254400 2637257264 2707369040 2888090300 3296571580 3384211300 3696755584 4084812800 4120714475 4331790464 4620944480 4786508800 5227443443 5274514528 5414738080 5776180600 6593143160 6768422600 7393511168 8241428950 8663580928 9241888960 10454886886 10549029056 10829476160 11552361200 13186286320 13536845200 14787022336 16482857900 17327161856 18483777920 20909773772 21098058112 21658952320 23104722400 26137217215 26372572640 27073690400 29574044672 29833972799 32965715800 34654323712 36967555840 41819547544 42196116224 43317904640 46209444800 52274434430 52745145280 54147380800 59667945598 65931431600 73935111680 83639095088 84392232448 86635809280 92418889600 104548868860 105490290560 108294761600 119335891196 130686086075 131862863200 147870223360 149169863995 167278190176 168784464896 173271618560 184837779200 209097737720 210980581120 216589523200 238671782392 261372172150 263725726400 298339727990 334556380352 369675558400 418195475440 421961162240 433179046400 477343564784 522744344300 527451452800 596679455980 669112760704 739351116800 745849319975 836390950880 843922324480 866358092800 954687129568 1045488688600 1054902905600 1193358911960 1338225521408 1491698639950 1672781901760 1909374259136 2090977377200 2109805811200 2386717823920 2676451042816 2983397279900 3345563803520 3818748518272 4181954754400 4219611622400 4773435647840 5352902085632 5399949076619 5966794559800 6691127607040 7637497036544 8363909508800 9546871295680 10799898153238 11933589119600 13382255214080 15274994073088 16727819017600 19093742591360 21599796306476 23867178239200 26764510428160 26999745383095 30549988146176 33455638035200 38187485182720 43199592612952 47734356478400 53999490766190 66911276070400 76374970365440 86399185225904 95468712956800 107998981532380 133822552140800 134998726915475 152749940730880 172798370451808 190937425913600 215997963064760 269997453830950 345596740903616 381874851827200 431995926129520 539994907661900 691193481807232 763749703654400 863991852259040 1079989815323800 1382386963614464 1727983704518080 2159979630647600 2764773927228928 3455967409036160 4319959261295200 5529547854457856 6911934818072320 8639918522590400 13823869636144640 17279837045180800 27647739272289280 34559674090361600 69119348180723200 138238696361446400
- Sum of all divisors σ(n): 344903924733194376
- Sum of proper divisors (its aliquot sum) s(n): 206665228371747976
- 138238696361446400 is an abundant number, because the sum of its proper divisors (206665228371747976) is greater than itself. Its abundance is 68426532010301576
Bases of 138238696361446400
- Binary: 1111010110001111101011100101001101101011001001100000000002
- Hexadecimal: 0x1EB1F5CA6D64C00
- Base-36: 11T5J0EC8GZK
Squares and roots of 138238696361446400
- 138238696361446400 squared (1382386963614464002) is 19109937171712174150432300072960000
- 138238696361446400 cubed (1382386963614464003) is 2641732802166637036822216181213508565251129344000000
-
The
square root of 138238696361446400 is 371804648.1170540719 -
The
cube root of 138238696361446400 is 517062.7002529347
Scales and comparisons
How big is 138238696361446400?- 138,238,696,361,446,400 seconds is equal to 4,395,562,943 years, 48 weeks, 2 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 138,238,696,361,446,400 would take you about thirteen billion, one hundred eighty-six million, six hundred eighty-eight thousand, eight hundred thirty-one 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 138238696361446400 cubic inches would be around 43088.6 feet tall.
Recreational maths with 138238696361446400
- 138238696361446400 backwards is 004644163696832831
- The number of decimal digits it has is: 18
- The sum of 138238696361446400's digits is 74
- More coming soon!
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The information we have on file for 138238696361446400 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!
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