138589840
138,589,840 is an even composite number composed of six prime numbers multiplied together.
What does the number 138589840 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 160 divisors.
138589840 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138589840:
24 × 5 × 29 × 31 × 41 × 47
(2 × 2 × 2 × 2 × 5 × 29 × 31 × 41 × 47)See below for interesting mathematical facts about the number 138589840 from the Numbermatics database.
Names of 138589840
- Cardinal: 138589840 can be written as One hundred thirty-eight million, five hundred eighty-nine thousand, eight hundred forty.
Scientific notation
- Scientific notation: 1.3858984 × 108
Factors of 138589840
Divisors of 138589840
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 4 5 8 10 16 20 29 31 40 41 47 58 62 80 82 94 116 124 145 155 164 188 205 232 235 248 290 310 328 376 410 464 470 496 580 620 656 752 820 899 940 1160 1189 1240 1271 1363 1457 1640 1798 1880 1927 2320 2378 2480 2542 2726 2914 3280 3596 3760 3854 4495 4756 5084 5452 5828 5945 6355 6815 7192 7285 7708 8990 9512 9635 10168 10904 11656 11890 12710 13630 14384 14570 15416 17980 19024 19270 20336 21808 23312 23780 25420 27260 29140 30832 35960 36859 38540 42253 47560 50840 54520 55883 58280 59737 71920 73718 77080 84506 95120 101680 109040 111766 116560 119474 147436 154160 169012 184295 211265 223532 238948 279415 294872 298685 338024 368590 422530 447064 477896 558830 589744 597370 676048 737180 845060 894128 955792 1117660 1194740 1474360 1690120 1732373 2235320 2389480 2948720 3380240 3464746 4470640 4778960 6929492 8661865 13858984 17323730 27717968 34647460 69294920 138589840
- Sum of all divisors σ(n): 359976960
- Sum of proper divisors (its aliquot sum) s(n): 221387120
- 138589840 is an abundant number, because the sum of its proper divisors (221387120) is greater than itself. Its abundance is 82797280
Bases of 138589840
- Binary: 10000100001010110110100100002
- Hexadecimal: 0x842B690
- Base-36: 2AIGLS
Squares and roots of 138589840
- 138589840 squared (1385898402) is 19207143751225600
- 138589840 cubed (1385898403) is 2661914979339355707904000
-
The
square root of 138589840 is 11772.4186130123 -
The
cube root of 138589840 is 517.5001314693
Scales and comparisons
How big is 138589840?- 138,589,840 seconds is equal to 4 years, 21 weeks, 1 day, 1 hour, 10 minutes, 40 seconds.
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To count from 1 to 138,589,840 would take you about six 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 138589840 cubic inches would be around 43.1 feet tall.
Recreational maths with 138589840
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