138672184896
138,672,184,896 is an even composite number composed of six prime numbers multiplied together.
138672184896 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred forty-eight divisors.
Prime factorization of 138672184896:
26 × 33 × 7 × 107 × 307 × 349
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 107 × 307 × 349)See below for interesting mathematical facts about the number 138672184896 from the Numbermatics database.
Names of 138672184896
- Cardinal: 138672184896 can be written as One hundred thirty-eight billion, six hundred seventy-two million, one hundred eighty-four thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.38672184896 × 1011
Factors of 138672184896
Divisors of 138672184896
- Number of divisors d(n): 448
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 107 108 112 126 144 168 189 192 214 216 224 252 288 307 321 336 349 378 428 432 448 504 576 614 642 672 698 749 756 856 864 921 963 1008 1047 1228 1284 1344 1396 1498 1512 1712 1728 1842 1926 2016 2094 2149 2247 2443 2456 2568 2763 2792 2889 2996 3024 3141 3424 3684 3852 4032 4188 4298 4494 4886 4912 5136 5526 5584 5778 5992 6048 6282 6447 6741 6848 7329 7368 7704 8289 8376 8596 8988 9423 9772 9824 10272 11052 11168 11556 11984 12096 12564 12894 13482 14658 14736 15408 16578 16752 17192 17976 18846 19341 19544 19648 20223 20544 21987 22104 22336 23112 23968 25128 25788 26964 29316 29472 30816 32849 33156 33504 34384 35952 37343 37692 38682 39088 40446 43974 44208 46224 47936 50256 51576 53928 58023 58632 58944 61632 65698 65961 66312 67008 68768 71904 74686 75384 77364 78176 80892 87948 88416 92448 98547 100512 103152 107143 107856 112029 116046 117264 131396 131922 132624 137536 143808 149372 150768 154728 156352 161784 175896 176832 184896 197094 201024 206304 214286 215712 224058 229943 232092 234528 261401 262792 263844 265248 295641 298744 301536 309456 321429 323568 336087 351792 394188 412608 428572 431424 448116 459886 464184 469056 522802 525584 527688 530496 591282 597488 603072 618912 642858 647136 672174 689829 703584 750001 784203 788376 857144 886923 896232 919772 928368 964287 1008261 1045604 1051168 1055376 1182564 1194976 1237824 1285716 1294272 1344348 1379658 1407168 1500002 1568406 1576752 1714288 1773846 1792464 1839544 1856736 1928574 2016522 2069487 2091208 2102336 2110752 2250003 2352609 2365128 2389952 2571432 2688696 2759316 2892861 3000004 3136812 3153504 3428576 3547692 3584928 3679088 3713472 3857148 4033044 4138974 4182416 4221504 4500006 4705218 4730256 5142864 5377392 5518632 5785722 6000008 6208461 6273624 6307008 6750009 6857152 7057827 7095384 7169856 7358176 7714296 8066088 8277948 8364832 9000012 9410436 9460512 10285728 10754784 11037264 11464301 11571444 12000016 12416922 12547248 13500018 14115654 14190768 14716352 15428592 16132176 16555896 16729664 18000024 18820872 18921024 20250027 20571456 21509568 22074528 22928602 23142888 24000032 24833844 25094496 27000036 28231308 28381536 30857184 32264352 33111792 34392903 36000048 37641744 40500054 44149056 45857204 46285776 48000064 49667688 50188992 54000072 56462616 56763072 61714368 64528704 66223584 68785806 72000096 75283488 80250107 81000108 91714408 92571552 99335376 103178709 108000144 112925232 132447168 137571612 144000192 150566976 160500214 162000216 183428816 185143104 198670752 206357418 216000288 225850464 240750321 275143224 309536127 321000428 324000432 366857632 397341504 412714836 432000576 451700928 481500642 550286448 619072254 642000856 648000864 722250963 733715264 825429672 963001284 1100572896 1238144508 1284001712 1296001728 1444501926 1650859344 1926002568 2166752889 2201145792 2476289016 2568003424 2889003852 3301718688 3852005136 4333505778 4952578032 5136006848 5778007704 6603437376 7704010272 8667011556 9905156064 11556015408 15408020544 17334023112 19810312128 23112030816 34668046224 46224061632 69336092448 138672184896
- Sum of all divisors σ(n): 473147136000
- Sum of proper divisors (its aliquot sum) s(n): 334474951104
- 138672184896 is an abundant number, because the sum of its proper divisors (334474951104) is greater than itself. Its abundance is 195802766208
Bases of 138672184896
- Binary: 100000010010011000000110011110010000002
- Hexadecimal: 0x2049819E40
- Base-36: 1RPDU6O0
Squares and roots of 138672184896
- 138672184896 squared (1386721848962) is 19229974863830410530816
- 138672184896 cubed (1386721848963) is 2666662629862523111916901857755136
-
The
square root of 138672184896 is 372387.1438382373 -
The
cube root of 138672184896 is 5176.0260424685
Scales and comparisons
How big is 138672184896?- 138,672,184,896 seconds is equal to 4,409 years, 18 weeks, 3 hours, 21 minutes, 36 seconds.
-
To count from 1 to 138,672,184,896 would take you about eight thousand, eight hundred eighteen 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 138672184896 cubic inches would be around 431.3 feet tall.
Recreational maths with 138672184896
- 138672184896 backwards is 698481276831
- 138672184896 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138672184896's digits is 63
- More coming soon!
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