213938400
213,938,400 is an even composite number composed of five prime numbers multiplied together.
213938400 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 213938400:
25 × 3 × 52 × 13 × 6857
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 6857)See below for interesting mathematical facts about the number 213938400 from the Numbermatics database.
Names of 213938400
- Cardinal: 213938400 can be written as Two hundred thirteen million, nine hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.139384 × 108
Factors of 213938400
Divisors of 213938400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 6857 7800 10400 13714 15600 20571 27428 31200 34285 41142 54856 68570 82284 89141 102855 109712 137140 164568 171425 178282 205710 219424 267423 274280 329136 342850 356564 411420 445705 514275 534846 548560 658272 685700 713128 822840 891410 1028550 1069692 1097120 1337115 1371400 1426256 1645680 1782820 2057100 2139384 2228525 2674230 2742800 2852512 3291360 3565640 4114200 4278768 4457050 5348460 5485600 6685575 7131280 8228400 8557536 8914100 10696920 13371150 14262560 16456800 17828200 21393840 26742300 35656400 42787680 53484600 71312800 106969200 213938400
- Sum of all divisors σ(n): 750045744
- Sum of proper divisors (its aliquot sum) s(n): 536107344
- 213938400 is an abundant number, because the sum of its proper divisors (536107344) is greater than itself. Its abundance is 322168944
Bases of 213938400
- Binary: 11001100000001110000111000002
- Hexadecimal: 0xCC070E0
- Base-36: 3JDFXC
Squares and roots of 213938400
- 213938400 squared (2139384002) is 45769638994560000
- 213938400 cubed (2139384003) is 9791883335073775104000000
-
The
square root of 213938400 is 14626.6332421375 -
The
cube root of 213938400 is 598.0850056077
Scales and comparisons
How big is 213938400?- 213,938,400 seconds is equal to 6 years, 41 weeks, 5 days, 3 hours, 20 minutes.
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To count from 1 to 213,938,400 would take you about ten 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 213938400 cubic inches would be around 49.8 feet tall.
Recreational maths with 213938400
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