138570400
138,570,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 138570400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 144 divisors.
138570400 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 138570400:
25 × 52 × 17 × 23 × 443
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 23 × 443)See below for interesting mathematical facts about the number 138570400 from the Numbermatics database.
Names of 138570400
- Cardinal: 138570400 can be written as One hundred thirty-eight million, five hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.385704 × 108
Factors of 138570400
Divisors of 138570400
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 4 5 8 10 16 17 20 23 25 32 34 40 46 50 68 80 85 92 100 115 136 160 170 184 200 230 272 340 368 391 400 425 443 460 544 575 680 736 782 800 850 886 920 1150 1360 1564 1700 1772 1840 1955 2215 2300 2720 3128 3400 3544 3680 3910 4430 4600 6256 6800 7088 7531 7820 8860 9200 9775 10189 11075 12512 13600 14176 15062 15640 17720 18400 19550 20378 22150 30124 31280 35440 37655 39100 40756 44300 50945 60248 62560 70880 75310 78200 81512 88600 101890 120496 150620 156400 163024 173213 177200 188275 203780 240992 254725 301240 312800 326048 346426 354400 376550 407560 509450 602480 692852 753100 815120 866065 1018900 1204960 1385704 1506200 1630240 1732130 2037800 2771408 3012400 3464260 4075600 4330325 5542816 6024800 6928520 8151200 8660650 13857040 17321300 27714080 34642600 69285200 138570400
- Sum of all divisors σ(n): 374601024
- Sum of proper divisors (its aliquot sum) s(n): 236030624
- 138570400 is an abundant number, because the sum of its proper divisors (236030624) is greater than itself. Its abundance is 97460224
Bases of 138570400
- Binary: 10000100001001101010101000002
- Hexadecimal: 0x8426AA0
- Base-36: 2AI1LS
Squares and roots of 138570400
- 138570400 squared (1385704002) is 19201755756160000
- 138570400 cubed (1385704003) is 2660794975833393664000000
-
The
square root of 138570400 is 11771.5929253437 -
The
cube root of 138570400 is 517.4759337531
Scales and comparisons
How big is 138570400?- 138,570,400 seconds is equal to 4 years, 21 weeks, 19 hours, 46 minutes, 40 seconds.
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To count from 1 to 138,570,400 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 138570400 cubic inches would be around 43.1 feet tall.
Recreational maths with 138570400
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