213642400
213,642,400 is an even composite number composed of five prime numbers multiplied together.
213642400 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 213642400:
25 × 52 × 17 × 23 × 683
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 23 × 683)See below for interesting mathematical facts about the number 213642400 from the Numbermatics database.
Names of 213642400
- Cardinal: 213642400 can be written as Two hundred thirteen million, six hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 2.136424 × 108
Factors of 213642400
Divisors of 213642400
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 23 25 32 34 40 46 50 68 80 85 92 100 115 136 160 170 184 200 230 272 340 368 391 400 425 460 544 575 680 683 736 782 800 850 920 1150 1360 1366 1564 1700 1840 1955 2300 2720 2732 3128 3400 3415 3680 3910 4600 5464 6256 6800 6830 7820 9200 9775 10928 11611 12512 13600 13660 15640 15709 17075 18400 19550 21856 23222 27320 31280 31418 34150 39100 46444 54640 58055 62560 62836 68300 78200 78545 92888 109280 116110 125672 136600 156400 157090 185776 232220 251344 267053 273200 290275 312800 314180 371552 392725 464440 502688 534106 546400 580550 628360 785450 928880 1068212 1161100 1256720 1335265 1570900 1857760 2136424 2322200 2513440 2670530 3141800 4272848 4644400 5341060 6283600 6676325 8545696 9288800 10682120 12567200 13352650 21364240 26705300 42728480 53410600 106821200 213642400
- Sum of all divisors σ(n): 577088064
- Sum of proper divisors (its aliquot sum) s(n): 363445664
- 213642400 is an abundant number, because the sum of its proper divisors (363445664) is greater than itself. Its abundance is 149803264
Bases of 213642400
- Binary: 11001011101111101100101000002
- Hexadecimal: 0xCBBECA0
- Base-36: 3J73J4
Squares and roots of 213642400
- 213642400 squared (2136424002) is 45643075077760000
- 213642400 cubed (2136424003) is 9751296102992833024000000
-
The
square root of 213642400 is 14616.5112116401 -
The
cube root of 213642400 is 597.8090463117
Scales and comparisons
How big is 213642400?- 213,642,400 seconds is equal to 6 years, 41 weeks, 1 day, 17 hours, 6 minutes, 40 seconds.
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To count from 1 to 213,642,400 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 213642400 cubic inches would be around 49.8 feet tall.
Recreational maths with 213642400
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