138309948810
138,309,948,810 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138309948810 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 384 divisors.
138309948810 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138309948810:
2 × 32 × 5 × 11 × 19 × 61 × 149 × 809
(2 × 3 × 3 × 5 × 11 × 19 × 61 × 149 × 809)See below for interesting mathematical facts about the number 138309948810 from the Numbermatics database.
Names of 138309948810
- Cardinal: 138309948810 can be written as One hundred thirty-eight billion, three hundred nine million, nine hundred forty-eight thousand, eight hundred ten.
Scientific notation
- Scientific notation: 1.3830994881 × 1011
Factors of 138309948810
Divisors of 138309948810
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 5 6 9 10 11 15 18 19 22 30 33 38 45 55 57 61 66 90 95 99 110 114 122 149 165 171 183 190 198 209 285 298 305 330 342 366 418 447 495 549 570 610 627 671 745 809 855 894 915 990 1045 1098 1159 1254 1341 1342 1490 1618 1639 1710 1830 1881 2013 2090 2235 2318 2427 2682 2745 2831 3135 3278 3355 3477 3762 4026 4045 4470 4854 4917 5490 5662 5795 6039 6270 6705 6710 6954 7281 8090 8195 8493 8899 9089 9405 9834 10065 10431 11590 12078 12135 12749 13410 14155 14562 14751 15371 16390 16986 17385 17798 18178 18810 20130 20862 24270 24585 25479 25498 26697 27267 28310 29502 30195 30742 31141 34770 36405 38247 42465 44495 45445 46113 49170 49349 50958 52155 53394 54534 60390 62282 63745 72810 73755 76494 76855 80091 81801 84930 88990 90890 92226 93423 98698 99979 104310 114741 120541 127395 127490 133485 136335 138339 147510 148047 153710 155705 160182 163602 169081 172691 186846 191235 199958 229482 230565 241082 246745 254790 266970 272670 276678 280269 296094 299937 311410 338162 345382 361623 382470 400455 409005 444141 461130 467115 493490 499895 507243 518073 542839 560538 573705 599874 602705 691695 723246 740235 800910 818010 845405 863455 888282 899811 934230 937631 999790 1014486 1036146 1084869 1085678 1147410 1205410 1325951 1383390 1401345 1480470 1499685 1521729 1554219 1628517 1690810 1726910 1799622 1808115 1875262 1899601 2169738 2220705 2290279 2536215 2590365 2651902 2714195 2802690 2812893 2999370 3043458 3108438 3257034 3616230 3799202 3977853 4441410 4499055 4580558 4688155 4885551 5072430 5180730 5424345 5428390 5625786 5698803 6629755 6870837 7353001 7608645 7771095 7955706 8142585 8438679 8998110 9376310 9498005 9771102 10313941 10848690 11397606 11451395 11933559 13259510 13741674 14064465 14706002 15217290 15542190 16285170 16877358 17096409 18996010 19889265 20612511 20627882 22059003 22902790 23867118 24427755 25193069 28128930 28494015 30941823 34192818 34354185 36765005 39778530 41225022 42193395 44118006 48855510 50386138 51569705 56988030 59667795 61883646 66177009 68708370 73530010 75579207 80883011 84386790 85482045 92825469 103062555 103139410 110295015 119335590 125965345 132354018 139707019 151158414 154709115 161766022 170964090 185650938 206125110 220590030 226737621 242649033 251930690 279414038 309418230 330885045 377896035 404415055 419121057 453475242 464127345 485298066 661770090 698535095 727947099 755792070 808830110 838242114 928254690 1133688105 1213245165 1257363171 1397070190 1455894198 1536777209 2095605285 2267376210 2426490330 2514726342 3073554418 3639735495 4191210570 4610331627 6286815855 7279470990 7683886045 9220663254 12573631710 13830994881 15367772090 23051658135 27661989762 46103316270 69154974405 138309948810
- Sum of all divisors σ(n): 423053280000
- Sum of proper divisors (its aliquot sum) s(n): 284743331190
- 138309948810 is an abundant number, because the sum of its proper divisors (284743331190) is greater than itself. Its abundance is 146433382380
Bases of 138309948810
- Binary: 100000001100111110101001010101100010102
- Hexadecimal: 0x2033EA558A
- Base-36: 1RJE67II
Squares and roots of 138309948810
- 138309948810 squared (1383099488102) is 19129641939824820416100
- 138309948810 cubed (1383099488103) is 2645819797450800012118233899841000
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The
square root of 138309948810 is 371900.4555119557 -
The
cube root of 138309948810 is 5171.5152163315
Scales and comparisons
How big is 138309948810?- 138,309,948,810 seconds is equal to 4,397 years, 43 weeks, 14 hours, 13 minutes, 30 seconds.
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To count from 1 to 138,309,948,810 would take you about eight thousand, seven hundred ninety-five 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 138309948810 cubic inches would be around 431 feet tall.
Recreational maths with 138309948810
- 138309948810 backwards is 018849903831
- The number of decimal digits it has is: 12
- The sum of 138309948810's digits is 54
- More coming soon!
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