138720293645472
138,720,293,645,472 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138720293645472 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2304 divisors.
138720293645472 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 138720293645472:
25 × 33 × 72 × 11 × 29 × 31 × 127 × 2609
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 11 × 29 × 31 × 127 × 2609)See below for interesting mathematical facts about the number 138720293645472 from the Numbermatics database.
Names of 138720293645472
- Cardinal: 138720293645472 can be written as One hundred thirty-eight trillion, seven hundred twenty billion, two hundred ninety-three million, six hundred forty-five thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 1.38720293645472 × 1014
Factors of 138720293645472
Divisors of 138720293645472
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 29 31 32 33 36 42 44 48 49 54 56 58 62 63 66 72 77 84 87 88 93 96 98 99 108 112 116 124 126 127 132 144 147 154 168 174 176 186 189 196 198 203 216 217 224 231 232 248 252 254 261 264 279 288 294 297 308 319 336 341 348 352 372 378 381 392 396 406 432 434 441 462 464 496 504 508 522 528 539 558 588 594 609 616 638 651 672 682 693 696 744 756 762 783 784 792 812 837 864 868 882 889 899 924 928 957 992 1008 1016 1023 1044 1056 1078 1116 1143 1176 1188 1218 1232 1276 1302 1323 1364 1386 1392 1397 1421 1488 1512 1519 1524 1566 1568 1584 1617 1624 1674 1736 1764 1778 1798 1827 1848 1914 1953 2016 2032 2046 2079 2088 2156 2232 2233 2286 2352 2376 2387 2436 2464 2552 2604 2609 2646 2667 2697 2728 2772 2784 2794 2842 2871 2976 3024 3038 3048 3069 3132 3168 3234 3248 3348 3429 3472 3528 3556 3596 3654 3683 3696 3828 3906 3937 4064 4092 4158 4176 4191 4263 4312 4464 4466 4557 4572 4704 4752 4774 4851 4872 5104 5208 5218 5292 5334 5394 5456 5481 5544 5588 5684 5742 5859 6048 6076 6096 6138 6223 6264 6293 6468 6496 6696 6699 6858 6944 7056 7112 7161 7192 7308 7366 7392 7656 7812 7827 7874 8001 8091 8184 8316 8352 8382 8526 8613 8624 8928 8932 9114 9144 9207 9504 9548 9702 9744 9779 9889 10208 10416 10436 10584 10668 10788 10912 10962 11049 11088 11176 11368 11484 11718 11811 12152 12192 12276 12446 12528 12573 12586 12789 12936 13392 13398 13671 13716 14112 14224 14322 14384 14553 14616 14732 15312 15624 15631 15654 15748 16002 16182 16368 16632 16709 16764 17052 17226 17248 17864 18228 18263 18288 18414 18669 18879 19096 19404 19488 19558 19778 20097 20832 20872 21168 21336 21483 21576 21924 22098 22176 22352 22736 22968 23436 23481 23622 24003 24273 24304 24552 24892 25056 25146 25172 25578 25781 25872 26784 26796 27342 27432 27559 28448 28644 28699 28768 29106 29232 29337 29464 29667 30624 31248 31262 31308 31496 32004 32364 32736 33147 33264 33418 33528 34104 34452 35433 35728 36456 36526 36576 36828 37338 37719 37758 38192 38367 38808 39116 39556 40194 40513 41013 41744 42336 42672 42966 43152 43307 43848 44051 44196 44704 45472 45936 46872 46893 46962 47244 48006 48546 48608 49104 49784 50127 50292 50344 51156 51562 51744 53592 54684 54789 54864 55118 56007 56637 57288 57398 58212 58464 58674 58928 59334 60291 62496 62524 62616 62992 64008 64449 64728 66294 66528 66836 67056 68208 68453 68904 69223 70443 70866 71456 72912 73052 73656 74676 75438 75516 75661 76384 76734 77343 77616 78232 79112 80388 80879 81026 82026 82677 83488 85344 85932 86097 86304 86614 87696 88011 88102 88392 89001 91872 93744 93786 93924 94488 96012 97092 98208 99441 99568 100254 100584 100688 102312 103124 106299 107184 109368 109578 109728 110236 112014 113274 114173 114576 114796 116424 117348 117856 118668 120582 121539 125048 125232 125984 127841 128016 128898 129456 129921 132153 132588 133672 134112 136416 136906 137808 138446 140679 140886 141732 145824 146104 147312 149352 150381 150876 151032 151322 153468 154686 155232 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128683018224 131363914437 132873844488 135601460064 136535722092 137619338934 139839005691 144953284896 149483075049 150130187928 154305109728 156040825248 157279244496 159816006504 160555895423 165735117856 170837800056 175151885916 176939150058 177165125984 182047629456 183492451912 186452007588 199310766732 200173583904 203402190096 206429008401 213088008672 217429927344 225195281892 227783733408 233535847888 235918866744 248602676784 257366036448 262727828874 265747688976 273071444184 275238677868 279678011382 298966150098 300260375856 314558488992 319632013008 321111790846 341675600112 350303771832 353878300116 364095258912 366984903824 372904015176 394091743311 398621533464 406804380192 412858016802 434859854688 450390563784 467071695776 471837733488 481667686269 497205353568 525455657748 531495377952 546142888368 550477355736 559356022764 597932300196 600520751712 619287025203 639264026016 642223581692 683351200224 700607543664 707756600232 733969807648 745808030352 788183486622 797243066928 825716033604 900781127568 943675466976 963335372538 1050911315496 1092285776736 1100954711472 1118712045528 1195864600392 1238574050406 1284447163384 1401215087328 1415513200464 1445003058807 1491616060704 1576366973244 1594486133856 1651432067208 1801562255136 1926670745076 2101822630992 2201909422944 2237424091056 2391729200784 2477148100812 2568894326768 2831026400928 2890006117614 3152733946488 3302864134416 3853341490152 4203645261984 4335009176421 4474848182112 4783458401568 4954296201624 5137788653536 5780012235228 6305467892976 6605728268832 7706682980304 8670018352842 9908592403248 11560024470456 12610935785952 15413365960608 17340036705684 19817184806496 23120048940912 34680073411368 46240097881824 69360146822736 138720293645472
- Sum of all divisors σ(n): 552813133824000
- Sum of proper divisors (its aliquot sum) s(n): 414092840178528
- 138720293645472 is an abundant number, because the sum of its proper divisors (414092840178528) is greater than itself. Its abundance is 275372546533056
Bases of 138720293645472
- Binary: 111111000101010010101011101001101101100101000002
- Hexadecimal: 0x7E2A55D36CA0
- Base-36: 1D67816NC0
Squares and roots of 138720293645472
- 138720293645472 squared (1387202936454722) is 19243319869085979343226102784
- 138720293645472 cubed (1387202936454723) is 2669438982953352859222937802075434728194048
-
The
square root of 138720293645472 is 11777957.9573656145 -
The
cube root of 138720293645472 is 51766.2453631899
Scales and comparisons
How big is 138720293645472?- 138,720,293,645,472 seconds is equal to 4,410,876 years, 12 weeks, 6 days, 5 hours, 31 minutes, 12 seconds.
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To count from 1 to 138,720,293,645,472 would take you about eleven million, twenty-seven thousand, one hundred ninety 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 138720293645472 cubic inches would be around 4313.9 feet tall.
Recreational maths with 138720293645472
- 138720293645472 backwards is 274546392027831
- 138720293645472 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138720293645472's digits is 63
- More coming soon!
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The information we have on file for 138720293645472 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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