138868480
138,868,480 is an even composite number composed of five prime numbers multiplied together.
138868480 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138868480:
28 × 5 × 23 × 53 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 23 × 53 × 89)See below for interesting mathematical facts about the number 138868480 from the Numbermatics database.
Names of 138868480
- Cardinal: 138868480 can be written as One hundred thirty-eight million, eight hundred sixty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 1.3886848 × 108
Factors of 138868480
Divisors of 138868480
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 16 20 23 32 40 46 53 64 80 89 92 106 115 128 160 178 184 212 230 256 265 320 356 368 424 445 460 530 640 712 736 848 890 920 1060 1219 1280 1424 1472 1696 1780 1840 2047 2120 2438 2848 2944 3392 3560 3680 4094 4240 4717 4876 5696 5888 6095 6784 7120 7360 8188 8480 9434 9752 10235 11392 12190 13568 14240 14720 16376 16960 18868 19504 20470 22784 23585 24380 28480 29440 32752 33920 37736 39008 40940 47170 48760 56960 65504 67840 75472 78016 81880 94340 97520 108491 113920 131008 150944 156032 163760 188680 195040 216982 262016 301888 312064 327520 377360 390080 433964 524032 542455 603776 655040 754720 780160 867928 1084910 1207552 1310080 1509440 1560320 1735856 2169820 2620160 3018880 3471712 4339640 6037760 6943424 8679280 13886848 17358560 27773696 34717120 69434240 138868480
- Sum of all divisors σ(n): 357618240
- Sum of proper divisors (its aliquot sum) s(n): 218749760
- 138868480 is an abundant number, because the sum of its proper divisors (218749760) is greater than itself. Its abundance is 79881280
Bases of 138868480
- Binary: 10000100011011110111000000002
- Hexadecimal: 0x846F700
- Base-36: 2AOFLS
Squares and roots of 138868480
- 138868480 squared (1388684802) is 19284454737510400
- 138868480 cubed (1388684803) is 2678002917026868232192000
-
The
square root of 138868480 is 11784.2471121409 -
The
cube root of 138868480 is 517.8467170179
Scales and comparisons
How big is 138868480?- 138,868,480 seconds is equal to 4 years, 21 weeks, 4 days, 6 hours, 34 minutes, 40 seconds.
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To count from 1 to 138,868,480 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 138868480 cubic inches would be around 43.2 feet tall.
Recreational maths with 138868480
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