138381882624
138,381,882,624 is an even composite number composed of four prime numbers multiplied together.
138381882624 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138381882624:
28 × 39 × 29 × 947
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 29 × 947)See below for interesting mathematical facts about the number 138381882624 from the Numbermatics database.
Names of 138381882624
- Cardinal: 138381882624 can be written as One hundred thirty-eight billion, three hundred eighty-one million, eight hundred eighty-two thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.38381882624 × 1011
Factors of 138381882624
Divisors of 138381882624
- Number of divisors d(n): 360
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 243 256 261 288 324 348 384 432 464 486 522 576 648 696 729 768 783 864 928 947 972 1044 1152 1296 1392 1458 1566 1728 1856 1894 1944 2088 2187 2304 2349 2592 2784 2841 2916 3132 3456 3712 3788 3888 4176 4374 4698 5184 5568 5682 5832 6264 6561 6912 7047 7424 7576 7776 8352 8523 8748 9396 10368 11136 11364 11664 12528 13122 14094 15152 15552 16704 17046 17496 18792 19683 20736 21141 22272 22728 23328 25056 25569 26244 27463 28188 30304 31104 33408 34092 34992 37584 39366 42282 45456 46656 50112 51138 52488 54926 56376 60608 62208 63423 66816 68184 69984 75168 76707 78732 82389 84564 90912 93312 100224 102276 104976 109852 112752 121216 126846 136368 139968 150336 153414 157464 164778 169128 181824 186624 190269 200448 204552 209952 219704 225504 230121 242432 247167 253692 272736 279936 300672 306828 314928 329556 338256 363648 380538 409104 419904 439408 451008 460242 494334 507384 545472 559872 570807 601344 613656 629856 659112 676512 690363 727296 741501 761076 818208 839808 878816 902016 920484 988668 1014768 1090944 1141614 1227312 1259712 1318224 1353024 1380726 1483002 1522152 1636416 1679616 1757632 1804032 1840968 1977336 2029536 2071089 2181888 2224503 2283228 2454624 2519424 2636448 2706048 2761452 2966004 3044304 3272832 3515264 3681936 3954672 4059072 4142178 4449006 4566456 4909248 5038848 5272896 5412096 5522904 5932008 6088608 6213267 6545664 6673509 7030528 7363872 7909344 8118144 8284356 8898012 9132912 9818496 10545792 11045808 11864016 12177216 12426534 13347018 14727744 15818688 16236288 16568712 17796024 18265824 18639801 19636992 20020527 21091584 22091616 23728032 24354432 24853068 26694036 29455488 31637376 33137424 35592048 36531648 37279602 40041054 44183232 47456064 48708864 49706136 53388072 58910976 60061581 63274752 66274848 71184096 73063296 74559204 80082108 88366464 94912128 99412272 106776144 120123162 132549696 142368192 146126592 149118408 160164216 176732928 180184743 189824256 198824544 213552288 240246324 265099392 284736384 298236816 320328432 360369486 397649088 427104576 480492648 530198784 540554229 569472768 596473632 640656864 720738972 795298176 854209152 960985296 1081108458 1192947264 1281313728 1441477944 1590596352 1708418304 1921970592 2162216916 2385894528 2562627456 2882955888 3843941184 4324433832 4771789056 5125254912 5765911776 7687882368 8648867664 11531823552 15375764736 17297735328 23063647104 34595470656 46127294208 69190941312 138381882624
- Sum of all divisors σ(n): 429067568160
- Sum of proper divisors (its aliquot sum) s(n): 290685685536
- 138381882624 is an abundant number, because the sum of its proper divisors (290685685536) is greater than itself. Its abundance is 152303802912
Bases of 138381882624
- Binary: 100000001110000011001111110101000000002
- Hexadecimal: 0x203833F500
- Base-36: 1RKL0000
Squares and roots of 138381882624
- 138381882624 squared (1383818826242) is 19149545438562513125376
- 138381882624 cubed (1383818826243) is 2649950149182112294602241027866624
-
The
square root of 138381882624 is 371997.1540536299 -
The
cube root of 138381882624 is 5172.4116144649
Scales and comparisons
How big is 138381882624?- 138,381,882,624 seconds is equal to 4,400 years, 6 weeks, 3 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,381,882,624 would take you about eight thousand, eight hundred 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 138381882624 cubic inches would be around 431 feet tall.
Recreational maths with 138381882624
- 138381882624 backwards is 426288183831
- 138381882624 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138381882624's digits is 54
- More coming soon!
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