138432682978304
138,432,682,978,304 is an even composite number composed of six prime numbers multiplied together.
138432682978304 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 138432682978304:
210 × 11 × 13 × 97 × 877 × 11113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 97 × 877 × 11113)See below for interesting mathematical facts about the number 138432682978304 from the Numbermatics database.
Names of 138432682978304
- Cardinal: 138432682978304 can be written as One hundred thirty-eight trillion, four hundred thirty-two billion, six hundred eighty-two million, nine hundred seventy-eight thousand, three hundred four.
Scientific notation
- Scientific notation: 1.38432682978304 × 1014
Factors of 138432682978304
Divisors of 138432682978304
- Number of divisors d(n): 352
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 32 44 52 64 88 97 104 128 143 176 194 208 256 286 352 388 416 512 572 704 776 832 877 1024 1067 1144 1261 1408 1552 1664 1754 2134 2288 2522 2816 3104 3328 3508 4268 4576 5044 5632 6208 6656 7016 8536 9152 9647 10088 11113 11264 11401 12416 13312 13871 14032 17072 18304 19294 20176 22226 22802 24832 27742 28064 34144 36608 38588 40352 44452 45604 49664 55484 56128 68288 73216 77176 80704 85069 88904 91208 99328 110968 112256 122243 125411 136576 144469 146432 154352 161408 170138 177808 182416 221936 224512 244486 250822 273152 288938 308704 322816 340276 355616 364832 443872 449024 488972 501644 546304 577876 617408 645632 680552 711232 729664 887744 898048 935759 977944 1003288 1077961 1092608 1105897 1155752 1234816 1291264 1361104 1422464 1459328 1589159 1775488 1871518 1955888 2006576 2155922 2211794 2311504 2469632 2722208 2844928 2918656 3178318 3550976 3743036 3911776 4013152 4311844 4423588 4623008 4939264 5444416 5689856 5837312 6356636 7101952 7486072 7823552 8026304 8623688 8847176 9246016 9746101 9878528 10888832 11379712 11674624 11857571 12164867 12713272 14013493 14203904 14972144 15647104 16052608 17247376 17694352 18492032 19492202 21777664 23715142 24329734 25426544 28026986 29944288 31294208 32105216 34494752 35388704 36984064 38984404 43555328 47430284 48659468 50853088 56053972 59888576 62588416 64210432 68989504 70777408 73968128 77968808 87110656 94860568 97318936 101706176 107207111 112107944 119777152 125176832 126699313 128420864 137979008 141554816 147936256 154148423 155937616 189721136 194637872 203412352 214414222 224215888 239554304 253398626 275958016 283109632 308296846 311875232 379442272 389275744 406824704 428828444 448431776 479108608 506797252 551916032 566219264 616593692 623750464 758884544 778551488 813649408 857656888 896863552 945371797 958217216 1013594504 1103832064 1132438528 1233187384 1247500928 1393692443 1517769088 1557102976 1627298816 1715313776 1793727104 1890743594 2027189008 2466374768 2495001856 2787384886 3035538176 3114205952 3430627552 3587454208 3781487188 4054378016 4932749536 4990003712 5574769772 6071076352 6228411904 6861255104 7174908416 7562974376 8108756032 9865499072 9980007424 10399089767 11149539544 12142152704 12289833361 12456823808 13722510208 14349816832 15125948752 16217512064 19730998144 20798179534 22299079088 24579666722 27445020416 30251897504 32435024128 39461996288 41596359068 44598158176 49159333444 54890040832 60503795008 64870048256 78923992576 83192718136 89196316352 98318666888 109780081664 121007590016 129740096512 135188166971 157847985152 166385436272 178392632704 196637333776 242015180032 270376333942 332770872544 356785265408 393274667552 484030360064 540752667884 665541745088 713570530816 786549335104 968060720128 1081505335768 1331083490176 1427141061632 1573098670208 2163010671536 2662166980352 3146197340416 4326021343072 5324333960704 6292394680832 8652042686144 10648667921408 12584789361664 17304085372288 34608170744576 69216341489152 138432682978304
- Sum of all divisors σ(n): 328865343030336
- Sum of proper divisors (its aliquot sum) s(n): 190432660052032
- 138432682978304 is an abundant number, because the sum of its proper divisors (190432660052032) is greater than itself. Its abundance is 51999977073728
Bases of 138432682978304
- Binary: 111110111100111010111101110010011101100000000002
- Hexadecimal: 0x7DE75EE4EC00
- Base-36: 1D2J3H7W8W
Squares and roots of 138432682978304
- 138432682978304 squared (1384326829783042) is 19163607716571618019734716416
- 138432682978304 cubed (1384326829783043) is 2652869631748739011104285917154859720638464
-
The
square root of 138432682978304 is 11765741.9221358073 -
The
cube root of 138432682978304 is 51730.4447234783
Scales and comparisons
How big is 138432682978304?- 138,432,682,978,304 seconds is equal to 4,401,731 years, 6 weeks, 1 day, 1 hour, 31 minutes, 44 seconds.
-
To count from 1 to 138,432,682,978,304 would take you about eleven million, four thousand, three hundred twenty-seven 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 138432682978304 cubic inches would be around 4310.9 feet tall.
Recreational maths with 138432682978304
- 138432682978304 backwards is 403879286234831
- The number of decimal digits it has is: 15
- The sum of 138432682978304's digits is 68
- More coming soon!
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