138480640
138,480,640 is an even composite number composed of five prime numbers multiplied together.
138480640 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred seventy-six divisors.
Prime factorization of 138480640:
210 × 5 × 17 × 37 × 43
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 17 × 37 × 43)See below for interesting mathematical facts about the number 138480640 from the Numbermatics database.
Names of 138480640
- Cardinal: 138480640 can be written as One hundred thirty-eight million, four hundred eighty thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3848064 × 108
Factors of 138480640
Divisors of 138480640
- Number of divisors d(n): 176
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 32 34 37 40 43 64 68 74 80 85 86 128 136 148 160 170 172 185 215 256 272 296 320 340 344 370 430 512 544 592 629 640 680 688 731 740 860 1024 1088 1184 1258 1280 1360 1376 1462 1480 1591 1720 2176 2368 2516 2560 2720 2752 2924 2960 3145 3182 3440 3655 4352 4736 5032 5120 5440 5504 5848 5920 6290 6364 6880 7310 7955 8704 9472 10064 10880 11008 11696 11840 12580 12728 13760 14620 15910 17408 18944 20128 21760 22016 23392 23680 25160 25456 27047 27520 29240 31820 37888 40256 43520 44032 46784 47360 50320 50912 54094 55040 58480 63640 80512 87040 93568 94720 100640 101824 108188 110080 116960 127280 135235 161024 187136 189440 201280 203648 216376 220160 233920 254560 270470 322048 374272 402560 407296 432752 467840 509120 540940 644096 748544 805120 814592 865504 935680 1018240 1081880 1610240 1629184 1731008 1871360 2036480 2163760 3220480 3462016 3742720 4072960 4327520 6924032 8145920 8655040 13848064 17310080 27696128 34620160 69240320 138480640
- Sum of all divisors σ(n): 369639072
- Sum of proper divisors (its aliquot sum) s(n): 231158432
- 138480640 is an abundant number, because the sum of its proper divisors (231158432) is greater than itself. Its abundance is 92677792
Bases of 138480640
- Binary: 10000100000100001100000000002
- Hexadecimal: 0x8410C00
- Base-36: 2AG4CG
Squares and roots of 138480640
- 138480640 squared (1384806402) is 19176887654809600
- 138480640 cubed (1384806403) is 2655627675646132486144000
-
The
square root of 138480640 is 11767.7797396113 -
The
cube root of 138480640 is 517.3641766665
Scales and comparisons
How big is 138480640?- 138,480,640 seconds is equal to 4 years, 20 weeks, 6 days, 18 hours, 50 minutes, 40 seconds.
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To count from 1 to 138,480,640 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 138480640 cubic inches would be around 43.1 feet tall.
Recreational maths with 138480640
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"Number 138480640 - Facts about the integer". Numbermatics.com. 2024. Web. 9 May 2024.
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