138088424562375
138,088,424,562,375 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138088424562375 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
138088424562375 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138088424562375:
3 × 53 × 7 × 53 × 672 × 127 × 1741
(3 × 5 × 5 × 5 × 7 × 53 × 67 × 67 × 127 × 1741)See below for interesting mathematical facts about the number 138088424562375 from the Numbermatics database.
Names of 138088424562375
- Cardinal: 138088424562375 can be written as One hundred thirty-eight trillion, eighty-eight billion, four hundred twenty-four million, five hundred sixty-two thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38088424562375 × 1014
Factors of 138088424562375
Divisors of 138088424562375
- Number of divisors d(n): 384
-
Complete list of divisors:
1 3 5 7 15 21 25 35 53 67 75 105 125 127 159 175 201 265 335 371 375 381 469 525 635 795 875 889 1005 1113 1325 1407 1675 1741 1855 1905 2345 2625 2667 3175 3551 3975 4445 4489 5025 5223 5565 6625 6731 7035 8375 8509 8705 9275 9525 10653 11725 12187 13335 13467 15875 17755 19875 20193 22225 22445 24857 25125 25527 26115 27825 31423 33655 35175 36561 42545 43525 46375 47117 47625 53265 58625 59563 60935 66675 67335 74571 88775 92273 94269 100965 111125 112225 116647 124285 127635 130575 139125 141351 157115 168275 175875 178689 182805 212725 217625 221107 235585 237917 266325 276819 297815 304675 333375 336675 349941 372855 443875 450977 461365 471345 504825 561125 570103 583235 621425 638175 645911 652875 663321 706755 713751 785575 816529 841375 893445 914025 1063625 1105535 1177925 1189585 1331625 1352931 1384095 1489075 1523375 1547749 1665419 1683375 1710309 1749705 1864275 1937733 2254885 2306825 2356725 2449587 2524125 2850515 2916175 3107125 3156839 3190875 3229555 3316605 3533775 3568755 3927875 3990721 4082645 4467225 4570125 4643247 4996257 5527675 5889625 5947925 6182291 6764655 6920475 7445375 7738745 7815349 8327095 8551545 8748525 9321375 9470517 9688665 11274425 11534125 11718671 11783625 11972163 12247935 14252575 14580875 14814169 15784195 16147775 16583025 17668875 17843775 18546873 19953605 20413225 22336125 23216235 23446047 24981285 27638375 29739625 30215459 30911455 33823275 34602375 35156013 38693725 39076745 41635475 42757725 43276037 43742625 44442507 47352585 48443325 54707443 56372125 58593355 59860815 61239675 71262875 74070845 78920975 80738875 82030697 82915125 89218875 90646377 92734365 99768025 102066125 103699183 116081175 117230235 124906425 129828111 151077295 154557275 164122329 169116375 175780065 193468625 195383725 208177375 211508213 213788625 216380185 222212535 236762925 242216625 246092091 273537215 292966775 299304075 306198375 311097549 370354225 394604875 410153485 414213497 453231885 463671825 498840125 518495915 580405875 586151175 624532125 634524639 649140555 755386475 772786375 785150957 820611645 878900325 976918625 992549323 1057541065 1081900925 1111062675 1183814625 1230460455 1242640491 1367686075 1464833875 1496520375 1555487745 1851771125 2050767425 2071067485 2266159425 2318359125 2355452871 2592479575 2899494479 2930755875 2977647969 3172623195 3245702775 3776932375 3925754785 4103058225 4394501625 4962746615 5287705325 5409504625 5496056699 5555313375 6152302275 6213202455 6838430375 6947845261 7777438725 8698483437 10253837125 10355337425 11330797125 11777264355 12962397875 14497472395 14888239845 15863115975 16228513875 16488170097 19628773925 20515291125 20843535783 24813733075 26438526625 27480283495 30761511375 31066012275 34739226305 38887193625 43492417185 51776687125 52605114119 58886321775 72487361975 74441199225 79315579875 82440850485 98143869625 104217678915 124068665375 137401417475 155330061375 157815342357 173696131525 217462085925 263025570595 294431608875 362436809875 368235798833 372205996125 412204252425 521088394575 687007087375 789076711785 868480657625 1087310429625 1104707396499 1315127852975 1841178994165 2061021262125 2605441972875 3945383558925 5523536982495 6575639264875 9205894970825 19726917794625 27617684912475 46029474854125 138088424562375
- Sum of all divisors σ(n): 273908484734976
- Sum of proper divisors (its aliquot sum) s(n): 135820060172601
- 138088424562375 is a deficient number, because the sum of its proper divisors (135820060172601) is less than itself. Its deficiency is 2268364389774
Bases of 138088424562375
- Binary: 111110110010111001101110111111001011110110001112
- Hexadecimal: 0x7D97377E5EC7
- Base-36: 1CY4Y2NAH3
Squares and roots of 138088424562375
- 138088424562375 squared (1380884245623752) is 19068412998118731210265640625
- 138088424562375 cubed (1380884245623753) is 2633127109814929317522216399629764646484375
-
The
square root of 138088424562375 is 11751103.1210850583 -
The
cube root of 138088424562375 is 51687.5275371849
Scales and comparisons
How big is 138088424562375?- 138,088,424,562,375 seconds is equal to 4,390,784 years, 39 weeks, 5 days, 15 hours, 46 minutes, 15 seconds.
-
To count from 1 to 138,088,424,562,375 would take you about ten million, nine hundred seventy-six thousand, nine hundred sixty-one 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 138088424562375 cubic inches would be around 4307.3 feet tall.
Recreational maths with 138088424562375
- 138088424562375 backwards is 573265424880831
- The number of decimal digits it has is: 15
- The sum of 138088424562375's digits is 66
- More coming soon!
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