138834023625
138,834,023,625 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138834023625 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 384 divisors.
138834023625 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138834023625:
33 × 53 × 112 × 19 × 29 × 617
(3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 19 × 29 × 617)See below for interesting mathematical facts about the number 138834023625 from the Numbermatics database.
Names of 138834023625
- Cardinal: 138834023625 can be written as One hundred thirty-eight billion, eight hundred thirty-four million, twenty-three thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38834023625 × 1011
Factors of 138834023625
Divisors of 138834023625
- Number of divisors d(n): 384
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Complete list of divisors:
1 3 5 9 11 15 19 25 27 29 33 45 55 57 75 87 95 99 121 125 135 145 165 171 209 225 261 275 285 297 319 363 375 435 475 495 513 551 605 617 627 675 725 783 825 855 957 1045 1089 1125 1305 1375 1425 1485 1595 1653 1815 1851 1881 2175 2299 2375 2475 2565 2755 2871 3025 3085 3135 3267 3375 3509 3625 3915 4125 4275 4785 4959 5225 5445 5553 5643 6061 6525 6787 6897 7125 7425 7975 8265 8613 9075 9255 9405 10527 10875 11495 11723 12375 12825 13775 14355 14877 15125 15425 15675 16335 16659 17545 17893 18183 19575 20361 20691 21375 23925 24795 26125 27225 27765 28215 30305 31581 32625 33935 34485 35169 37125 39875 41325 43065 45375 46275 47025 52635 53679 54549 57475 58615 61083 62073 64125 66671 68875 71775 74385 74657 77125 78375 81675 83295 87725 89465 90915 94743 97875 101805 103455 105507 119625 123975 128953 136125 138825 141075 151525 157905 161037 163647 169675 172425 175845 183249 196823 200013 206625 215325 223971 231375 235125 263175 268395 272745 287375 293075 305415 310365 316521 333355 339967 358875 371925 373285 386859 408375 416475 438625 447325 454575 473715 483111 509025 517275 527535 590469 600039 619875 644765 671913 694125 705375 757625 789525 805185 818235 848375 862125 879225 916245 984115 1000065 1019901 1076625 1119855 1160577 1315875 1341975 1363725 1418483 1465375 1527075 1551825 1582605 1666775 1699835 1771407 1800117 1859625 1866425 1934295 2015739 2082375 2165053 2236625 2272875 2368575 2415555 2545125 2586375 2637675 2952345 3000195 3059703 3223825 3359565 3481731 3739637 3947625 4025925 4091175 4255449 4396125 4581225 4920575 5000325 5099505 5314221 5599275 5802885 6495159 6709875 6818625 7092415 7635375 7759125 7913025 8333875 8499175 8857035 9000585 9179109 9332125 9671475 10078695 10825265 11218911 11842875 12077775 12766347 13188375 14761725 15000975 15298515 16119125 16797825 17408655 18698185 19485477 20129625 20455875 21277245 22906125 24602875 25001625 25497525 26571105 27996375 29014425 32475795 33656733 35462075 38299041 39565125 41136007 42495875 44285175 45002925 45895545 48357375 50393475 54126325 56094555 58456431 60388875 63831735 73808625 75004875 76492575 83989125 87043275 93490925 97427385 100970199 106386225 123408021 127487625 132855525 145072125 162378975 168283665 177310375 191495205 205680035 221425875 225014625 229477725 251967375 270631625 280472775 292282155 319158675 370224063 382462875 435216375 467454625 487136925 504850995 531931125 617040105 664277625 811894875 841418325 957476025 1028400175 1110672189 1147388625 1402363875 1461410775 1595793375 1851120315 2435684625 2524254975 3085200525 4207091625 4787380125 5142000875 5553360945 7307053875 9255601575 12621274875 15426002625 27766804725 46278007875 138834023625
- Sum of all divisors σ(n): 307734336000
- Sum of proper divisors (its aliquot sum) s(n): 168900312375
- 138834023625 is an abundant number, because the sum of its proper divisors (168900312375) is greater than itself. Its abundance is 30066288750
Bases of 138834023625
- Binary: 100000010100110010011100010100110010012
- Hexadecimal: 0x20532714C9
- Base-36: 1RS26Y89
Squares and roots of 138834023625
- 138834023625 squared (1388340236252) is 19274886115907058140625
- 138834023625 cubed (1388340236253) is 2676009994385024998199779822265625
-
The
square root of 138834023625 is 372604.3795032473 -
The
cube root of 138834023625 is 5178.0388369185
Scales and comparisons
How big is 138834023625?- 138,834,023,625 seconds is equal to 4,414 years, 25 weeks, 4 days, 6 hours, 33 minutes, 45 seconds.
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To count from 1 to 138,834,023,625 would take you about eight thousand, eight hundred twenty-eight 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 138834023625 cubic inches would be around 431.5 feet tall.
Recreational maths with 138834023625
- 138834023625 backwards is 526320438831
- 138834023625 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138834023625's digits is 45
- More coming soon!
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