138345174639
138,345,174,639 is an odd composite number composed of six prime numbers multiplied together.
138345174639 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred sixty divisors.
Prime factorization of 138345174639:
34 × 72 × 19 × 23 × 312 × 83
(3 × 3 × 3 × 3 × 7 × 7 × 19 × 23 × 31 × 31 × 83)See below for interesting mathematical facts about the number 138345174639 from the Numbermatics database.
Names of 138345174639
- Cardinal: 138345174639 can be written as One hundred thirty-eight billion, three hundred forty-five million, one hundred seventy-four thousand, six hundred thirty-nine.
Scientific notation
- Scientific notation: 1.38345174639 × 1011
Factors of 138345174639
Divisors of 138345174639
- Number of divisors d(n): 360
-
Complete list of divisors:
1 3 7 9 19 21 23 27 31 49 57 63 69 81 83 93 133 147 161 171 189 207 217 249 279 399 437 441 483 513 567 581 589 621 651 713 747 837 931 961 1127 1197 1311 1323 1449 1519 1539 1577 1743 1767 1863 1909 1953 2139 2241 2511 2573 2793 2883 3059 3381 3591 3933 3969 4067 4123 4347 4557 4731 4991 5229 5301 5727 5859 6417 6723 6727 7719 8379 8649 9177 10143 10773 11039 11799 12201 12369 13041 13363 13547 13671 14193 14973 15687 15903 17181 17577 18011 18259 19251 20181 21413 22103 23157 25137 25947 27531 28861 30429 33117 34937 35397 36271 36603 37107 40089 40641 41013 42579 44919 47061 47089 47709 48887 51543 54033 54777 57753 59179 60543 64239 66309 69471 75411 77273 77841 79763 82593 86583 91287 93541 94829 99351 104811 108813 109809 111321 120267 121923 123039 126077 127737 127813 134757 141267 146661 154629 154721 162099 164331 177537 181629 192717 198927 208413 231819 239289 247779 253897 259749 280623 284487 298053 314433 326439 329427 333963 342209 360801 365769 378231 383439 404271 414253 419957 423801 439983 464163 486297 492993 532611 544887 558341 578151 596781 663803 695457 717867 761691 779247 841869 853461 894159 894691 943299 979317 1026627 1082403 1083047 1097307 1124401 1134693 1150317 1242759 1259871 1271403 1319949 1392489 1458891 1478979 1515497 1597833 1675023 1734453 1777279 1790343 1834549 1991409 2086371 2153601 2285073 2337741 2395463 2525607 2560383 2684073 2829897 2899771 2937951 2939699 3079881 3249141 3373203 3404079 3450951 3728277 3779613 3814209 3908387 3959847 4177467 4546491 4793499 5025069 5331837 5503647 5974227 6259113 6460803 6855219 7186389 7576821 7681149 7870807 8052219 8699313 8819097 9239643 9747423 10119609 10212237 10352853 10608479 11184831 11338839 11725161 12532401 12841843 13639473 15075207 15995511 16510941 17922681 20565657 20577893 21559167 23612421 24156657 26097939 26457291 27718929 29242269 30358827 31825437 33554493 34016517 34856431 35175483 38525529 40918419 45225621 47986533 49532823 53768043 55095649 61733679 64677501 70837263 72469971 74259353 78293817 79371873 87726807 89892901 91076481 95476311 104569293 105526449 115576587 122755257 143959599 148598469 165286947 185201037 194032503 212511789 222778059 234881451 238115619 243995017 269678703 286428933 313707879 316579347 346729761 495860841 555603111 637535367 668334177 731985051 809036109 859286799 941123637 1040189283 1487582523 1666809333 1707965119 2005002531 2195955153 2427108327 2823370911 4462747569 5123895357 6015007593 6587865459 7281324981 15371686071 19763596377 46115058213 138345174639
- Sum of all divisors σ(n): 276140430720
- Sum of proper divisors (its aliquot sum) s(n): 137795256081
- 138345174639 is a deficient number, because the sum of its proper divisors (137795256081) is less than itself. Its deficiency is 549918558
Bases of 138345174639
- Binary: 100000001101100000001111010110011011112
- Hexadecimal: 0x203603D66F
- Base-36: 1RJZ57XR
Squares and roots of 138345174639
- 138345174639 squared (1383451746392) is 19139387345895408780321
- 138345174639 cubed (1383451746393) is 2647841884851367027541802731479119
-
The
square root of 138345174639 is 371947.8117142243 -
The
cube root of 138345174639 is 5171.9542193313
Scales and comparisons
How big is 138345174639?- 138,345,174,639 seconds is equal to 4,398 years, 49 weeks, 2 days, 7 hours, 10 minutes, 39 seconds.
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To count from 1 to 138,345,174,639 would take you about eight thousand, seven hundred ninety-seven 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 138345174639 cubic inches would be around 431 feet tall.
Recreational maths with 138345174639
- 138345174639 backwards is 936471543831
- The number of decimal digits it has is: 12
- The sum of 138345174639's digits is 54
- More coming soon!
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