138523723338
138,523,723,338 is an even composite number composed of seven prime numbers multiplied together.
138523723338 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138523723338:
2 × 3 × 72 × 11 × 132 × 172 × 877
(2 × 3 × 7 × 7 × 11 × 13 × 13 × 17 × 17 × 877)See below for interesting mathematical facts about the number 138523723338 from the Numbermatics database.
Names of 138523723338
- Cardinal: 138523723338 can be written as One hundred thirty-eight billion, five hundred twenty-three million, seven hundred twenty-three thousand, three hundred thirty-eight.
Scientific notation
- Scientific notation: 1.38523723338 × 1011
Factors of 138523723338
Divisors of 138523723338
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 6 7 11 13 14 17 21 22 26 33 34 39 42 49 51 66 77 78 91 98 102 119 143 147 154 169 182 187 221 231 238 273 286 289 294 338 357 374 429 442 462 507 539 546 561 578 637 663 714 833 858 867 877 1001 1014 1078 1122 1183 1274 1309 1326 1547 1617 1666 1734 1754 1859 1911 2002 2023 2366 2431 2499 2618 2631 2873 3003 3094 3179 3234 3549 3718 3757 3822 3927 4046 4641 4862 4998 5262 5577 5746 6006 6069 6139 6358 7007 7098 7293 7514 7854 8281 8619 9163 9282 9537 9647 10829 11154 11271 11401 12138 12278 13013 14014 14161 14586 14909 16562 17017 17238 18326 18417 19074 19294 20111 21021 21658 22253 22542 22802 24843 26026 26299 27489 28322 28941 29818 31603 32487 34034 34203 36834 39039 40222 41327 42042 42483 42973 44506 44727 48841 49686 51051 52598 54978 57882 60333 63206 64974 66759 67529 68406 78078 78897 79807 82654 84966 85946 89454 91091 94809 97682 102102 104363 119119 120666 123981 125411 128919 133518 135058 140777 146523 148213 155771 157794 159614 163999 182182 184093 189618 193817 202587 208726 221221 238238 239421 247962 250822 253453 257838 273273 281554 289289 293046 296426 311542 313089 327998 341887 357357 368186 376233 387634 405174 422331 442442 444639 467313 472703 478842 491997 506906 537251 546546 552279 558649 578578 581451 626178 663663 683774 714714 730541 752466 760359 844662 867867 877877 889278 934626 945406 983994 1025661 1037491 1074502 1104558 1117298 1147993 1162902 1327326 1356719 1418109 1461082 1520718 1548547 1611753 1630343 1675947 1735734 1755754 1774171 2025023 2051322 2074982 2131987 2191623 2295986 2393209 2519621 2633631 2713438 2787983 2836218 3097094 3112473 3223506 3260686 3294889 3351894 3443979 3548342 3760757 4050046 4070157 4263974 4383246 4645641 4786418 4891029 5039242 5267262 5322513 5575966 6075069 6145139 6224946 6395961 6589778 6887958 7179627 7262437 7521514 7558863 8035951 8140314 8363949 9291282 9497033 9782058 9884667 10645026 11282271 11412401 12150138 12290278 12419197 12791922 14359254 14524874 14923909 15117726 16071902 16727898 17637347 18435417 18994066 19515881 19769334 21787311 22564542 22824802 23064223 24107853 24838394 26325299 27715831 28491099 29847818 34237203 35274694 36243779 36870834 37257591 39031762 42833557 43574622 44771727 46128446 48215706 52650598 52912041 55431662 56982198 58547643 68474406 69192669 72487558 74515182 78975897 79886807 83147493 85667114 89543454 104467363 105824082 108731337 117095286 123461429 128500671 136611167 138385338 157951794 159773614 161449561 166294986 194010817 208934726 217462674 239660421 246922858 253706453 257001342 273222334 299834899 313402089 322899122 370384287 388021634 409833501 471169127 479320842 484348683 507412906 582032451 599669798 626804178 740768574 761119359 819667002 899504697 942338254 968697366 1164064902 1358075719 1413507381 1522238718 1775945171 1799009394 2098844293 2716151438 2827014762 3298183889 3551890342 4074227157 4197688586 5327835513 6296532879 6596367778 8148454314 9894551667 10655671026 12593065758 19789103334 23087287223 46174574446 69261861669 138523723338
- Sum of all divisors σ(n): 404875342944
- Sum of proper divisors (its aliquot sum) s(n): 266351619606
- 138523723338 is an abundant number, because the sum of its proper divisors (266351619606) is greater than itself. Its abundance is 127827896268
Bases of 138523723338
- Binary: 100000010000001010100001000110010010102
- Hexadecimal: 0x2040A8464A
- Base-36: 1RMXG4ZU
Squares and roots of 138523723338
- 138523723338 squared (1385237233382) is 19188821927422765862244
- 138523723338 cubed (1385237233383) is 2658107059856459133664238875850472
-
The
square root of 138523723338 is 372187.7528049519 -
The
cube root of 138523723338 is 5174.1782427253
Scales and comparisons
How big is 138523723338?- 138,523,723,338 seconds is equal to 4,404 years, 32 weeks, 3 days, 20 hours, 2 minutes, 18 seconds.
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To count from 1 to 138,523,723,338 would take you about eight thousand, eight hundred 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 138523723338 cubic inches would be around 431.2 feet tall.
Recreational maths with 138523723338
- 138523723338 backwards is 833327325831
- The number of decimal digits it has is: 12
- The sum of 138523723338's digits is 48
- More coming soon!
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