138287874375
138,287,874,375 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138287874375 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
138287874375 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 138287874375:
33 × 54 × 7 × 67 × 101 × 173
(3 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 67 × 101 × 173)See below for interesting mathematical facts about the number 138287874375 from the Numbermatics database.
Names of 138287874375
- Cardinal: 138287874375 can be written as One hundred thirty-eight billion, two hundred eighty-seven million, eight hundred seventy-four thousand, three hundred seventy-five.
Scientific notation
- Scientific notation: 1.38287874375 × 1011
Factors of 138287874375
Divisors of 138287874375
- Number of divisors d(n): 320
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 35 45 63 67 75 101 105 125 135 173 175 189 201 225 303 315 335 375 469 505 519 525 603 625 675 707 865 875 909 945 1005 1125 1211 1407 1515 1557 1575 1675 1809 1875 2121 2345 2525 2595 2625 2727 3015 3375 3535 3633 4221 4325 4375 4545 4671 4725 5025 5625 6055 6363 6767 7035 7575 7785 7875 8375 9045 10605 10899 11591 11725 12625 12663 12975 13125 13635 15075 16875 17473 17675 18165 19089 20301 21105 21625 22725 23355 23625 25125 30275 31815 32697 33835 34773 35175 37875 38925 39375 41875 45225 47369 52419 53025 54495 57955 58625 60903 63125 63315 64875 68175 75375 81137 87365 88375 90825 95445 101505 104319 105525 108125 113625 116775 118125 122311 125625 142107 151375 157257 159075 163485 169175 173865 175875 182709 189375 194625 226125 236845 243411 262095 265125 272475 289775 293125 304515 312957 316575 324375 340875 366933 376875 405685 426321 436825 441875 454125 471771 477225 507525 521595 527625 568125 583875 611555 710535 730233 756875 786285 795375 817425 845875 869325 879375 913545 973125 1100799 1130625 1170691 1184225 1217055 1278963 1310475 1325625 1362375 1448875 1522575 1564785 1582875 1704375 1834665 2028425 2131605 2184125 2190699 2270625 2358855 2386125 2537625 2607975 2638125 2919375 3057775 3302397 3512073 3552675 3651165 3931425 3976875 4087125 4229375 4346625 4567725 5503995 5853455 5921125 6085275 6394815 6552375 6811875 7244375 7612875 7823925 7914375 8194837 9173325 10142125 10536219 10658025 10920625 10953495 11794275 11930625 12688125 13039875 15288875 16511985 17560365 17763375 18255825 19657125 20435625 21733125 22838625 24584511 27519975 29267275 29605625 30426375 31608657 31974075 32761875 38064375 39119625 40974185 45866625 50710625 52681095 53290125 54767475 58971375 65199375 73753533 76444375 82559925 87801825 88816875 91279125 98285625 114193125 122922555 137599875 146336375 152131875 158043285 159870375 195598125 204870925 221260599 229333125 263405475 266450625 273837375 294856875 368767665 412799625 439009125 456395625 614612775 687999375 731681875 790216425 799351875 1024354625 1106302995 1317027375 1369186875 1843838325 2063998125 2195045625 3073063875 3951082125 5121773125 5531514975 6585136875 9219191625 15365319375 19755410625 27657574875 46095958125 138287874375
- Sum of all divisors σ(n): 301619450880
- Sum of proper divisors (its aliquot sum) s(n): 163331576505
- 138287874375 is an abundant number, because the sum of its proper divisors (163331576505) is greater than itself. Its abundance is 25043702130
Bases of 138287874375
- Binary: 100000001100101001100110000001010001112
- Hexadecimal: 0x2032998147
- Base-36: 1RJ112RR
Squares and roots of 138287874375
- 138287874375 squared (1382878743752) is 19123536199155781640625
- 138287874375 cubed (1382878743753) is 2644553171514619712573681396484375
-
The
square root of 138287874375 is 371870.7764466039 -
The
cube root of 138287874375 is 5171.2400750003
Scales and comparisons
How big is 138287874375?- 138,287,874,375 seconds is equal to 4,397 years, 6 weeks, 4 days, 2 hours, 26 minutes, 15 seconds.
-
To count from 1 to 138,287,874,375 would take you about eight thousand, seven hundred ninety-four 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 138287874375 cubic inches would be around 430.9 feet tall.
Recreational maths with 138287874375
- 138287874375 backwards is 573478782831
- 138287874375 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138287874375's digits is 63
- More coming soon!
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