138322784815198848
138,322,784,815,198,848 is an even composite number composed of four prime numbers multiplied together.
What does the number 138322784815198848 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 1232 divisors.
138322784815198848 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one thousand, two hundred thirty-two divisors.
Prime factorization of 138322784815198848:
27 × 310 × 196 × 389
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 19 × 19 × 19 × 19 × 19 × 19 × 389)See below for interesting mathematical facts about the number 138322784815198848 from the Numbermatics database.
Names of 138322784815198848
- Cardinal: 138322784815198848 can be written as One hundred thirty-eight quadrillion, three hundred twenty-two trillion, seven hundred eighty-four billion, eight hundred fifteen million, one hundred ninety-eight thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38322784815198848 × 1017
Factors of 138322784815198848
Divisors of 138322784815198848
- Number of divisors d(n): 1232
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 81 96 108 114 128 144 152 162 171 192 216 228 243 288 304 324 342 361 384 389 432 456 486 513 576 608 648 684 722 729 778 864 912 972 1026 1083 1152 1167 1216 1296 1368 1444 1458 1539 1556 1728 1824 1944 2052 2166 2187 2334 2432 2592 2736 2888 2916 3078 3112 3249 3456 3501 3648 3888 4104 4332 4374 4617 4668 5184 5472 5776 5832 6156 6224 6498 6561 6859 7002 7296 7391 7776 8208 8664 8748 9234 9336 9747 10368 10503 10944 11552 11664 12312 12448 12996 13122 13718 13851 14004 14782 15552 16416 17328 17496 18468 18672 19494 19683 20577 21006 21888 22173 23104 23328 24624 24896 25992 26244 27436 27702 28008 29241 29564 31104 31509 32832 34656 34992 36936 37344 38988 39366 41154 41553 42012 44346 46208 46656 49248 49792 51984 52488 54872 55404 56016 58482 59049 59128 61731 63018 65664 66519 69312 69984 73872 74688 77976 78732 82308 83106 84024 87723 88692 93312 94527 98496 103968 104976 109744 110808 112032 116964 118098 118256 123462 124659 126036 130321 133038 138624 139968 140429 147744 149376 155952 157464 164616 166212 168048 175446 177384 185193 189054 196992 199557 207936 209952 219488 221616 224064 233928 236196 236512 246924 249318 252072 260642 263169 266076 279936 280858 283581 295488 311904 314928 329232 332424 336096 350892 354768 370386 373977 378108 390963 399114 415872 419904 421287 438976 443232 448128 467856 472392 473024 493848 498636 504144 521284 526338 532152 555579 561716 567162 590976 598671 623808 629856 658464 664848 672192 701784 709536 740772 747954 756216 781926 789507 798228 839808 842574 850743 877952 886464 935712 944784 946048 987696 997272 1008288 1042568 1052676 1064304 1111158 1121931 1123432 1134324 1172889 1197342 1247616 1259712 1263861 1316928 1329696 1344384 1403568 1419072 1481544 1495908 1512432 1563852 1579014 1596456 1666737 1685148 1701486 1772928 1796013 1871424 1889568 1975392 1994544 2016576 2085136 2105352 2128608 2222316 2243862 2246864 2268648 2345778 2368521 2394684 2476099 2519424 2527722 2552229 2633856 2659392 2668151 2807136 2838144 2963088 2991816 3024864 3127704 3158028 3192912 3333474 3370296 3402972 3518667 3592026 3742848 3779136 3791583 3950784 3989088 4033152 4170272 4210704 4257216 4444632 4487724 4493728 4537296 4691556 4737042 4789368 4952198 5000211 5055444 5104458 5318784 5336302 5388039 5614272 5926176 5983632 6049728 6255408 6316056 6385824 6666948 6740592 6805944 7037334 7105563 7184052 7428297 7558272 7583166 7656687 7901568 7978176 8004453 8340544 8421408 8514432 8889264 8975448 8987456 9074592 9383112 9474084 9578736 9904396 10000422 10110888 10208916 10556001 10672604 10776078 11228544 11374749 11852352 11967264 12099456 12510816 12632112 12771648 13333896 13481184 13611888 14074668 14211126 14368104 14856594 15000633 15166332 15313374 15956352 16008906 16164117 16681088 16842816 17778528 17950896 17974912 18149184 18766224 18948168 19157472 19808792 20000844 20221776 20417832 21112002 21316689 21345208 21552156 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29959450902144 31623864841152 31930467408864 33704382264912 35576847946296 37917430048026 39509507230848 40023953939583 42573956545152 44448195634704 44939176353216 47435797261728 47895701113296 50556573397368 53365271919444 56876145072039 59264260846272 63247729682304 63860934817728 67408764529824 71153695892592 75834860096052 80047907879166 88896391269408 89878352706432 94871594523456 95791402226592 101113146794736 106730543838888 113752290144078 118528521692544 120071861818749 127721869635456 134817529059648 142307391785184 151669720192104 160095815758332 177792782538816 189743189046912 191582804453184 202226293589472 213461087677776 227504580288156 240143723637498 269635058119296 284614783570368 303339440384208 320191631516664 355585565077632 360215585456247 383165608906368 404452587178944 426922175355552 455009160576312 480287447274996 569229567140736 606678880768416 640383263033328 720431170912494 808905174357888 853844350711104 910018321152624 960574894549992 1080646756368741 1213357761536832 1280766526066656 1440862341824988 1707688701422208 1820036642305248 1921149789099984 2161293512737482 2426715523073664 2561533052133312 2881724683649976 3640073284610496 3842299578199968 4322587025474964 5123066104266624 5763449367299952 7280146569220992 7684599156399936 8645174050949928 11526898734599904 15369198312799872 17290348101899856 23053797469199808 34580696203799712 46107594938399616 69161392407599424 138322784815198848
- Sum of all divisors σ(n): 437430280510553850
- Sum of proper divisors (its aliquot sum) s(n): 299107495695355002
- 138322784815198848 is an abundant number, because the sum of its proper divisors (299107495695355002) is greater than itself. Its abundance is 160784710880156154
Bases of 138322784815198848
- Binary: 1111010110110101111010111000001010100000010110010100000002
- Hexadecimal: 0x1EB6BD70540B280
- Base-36: 11TZC23MI000
Squares and roots of 138322784815198848
- 138322784815198848 squared (1383227848151988482) is 19133192799031805002454825780527104
- 138322784815198848 cubed (1383227848151988483) is 2646556510368188500817301289559293161063932013576192
-
The
square root of 138322784815198848 is 371917712.4246690781 -
The
cube root of 138322784815198848 is 517167.5194080431
Scales and comparisons
How big is 138322784815198848?- 138,322,784,815,198,848 seconds is equal to 4,398,236,696 years, 34 weeks, 1 day, 7 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,322,784,815,198,848 would take you about thirteen billion, one hundred ninety-four million, seven hundred ten thousand and eighty-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 138322784815198848 cubic inches would be around 43097.3 feet tall.
Recreational maths with 138322784815198848
- 138322784815198848 backwards is 848891518487223831
- The number of decimal digits it has is: 18
- The sum of 138322784815198848's digits is 90
- More coming soon!
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"Number 138322784815198848 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 138322784815198848 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/138322784815198848/
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The information we have on file for 138322784815198848 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!
Keywords: Divisors of 138322784815198848, math, Factors of 138322784815198848, curriculum, school, college, exams, university, Prime factorization of 138322784815198848, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred twenty-two trillion, seven hundred eighty-four billion, eight hundred fifteen million, one hundred ninety-eight thousand, eight hundred forty-eight.