400401342
400,401,342 is an even composite number composed of five prime numbers multiplied together.
400401342 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 400401342:
2 × 32 × 112 × 23 × 7993
(2 × 3 × 3 × 11 × 11 × 23 × 7993)See below for interesting mathematical facts about the number 400401342 from the Numbermatics database.
Names of 400401342
- Cardinal: 400401342 can be written as Four hundred million, four hundred one thousand, three hundred forty-two.
Scientific notation
- Scientific notation: 4.00401342 × 108
Factors of 400401342
Divisors of 400401342
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 3 6 9 11 18 22 23 33 46 66 69 99 121 138 198 207 242 253 363 414 506 726 759 1089 1518 2178 2277 2783 4554 5566 7993 8349 15986 16698 23979 25047 47958 50094 71937 87923 143874 175846 183839 263769 367678 527538 551517 791307 967153 1103034 1582614 1654551 1934306 2022229 2901459 3309102 4044458 5802918 6066687 8704377 12133374 17408754 18200061 22244519 36400122 44489038 66733557 133467114 200200671 400401342
- Sum of all divisors σ(n): 995157072
- Sum of proper divisors (its aliquot sum) s(n): 594755730
- 400401342 is an abundant number, because the sum of its proper divisors (594755730) is greater than itself. Its abundance is 194354388
Bases of 400401342
- Binary: 101111101110110100011101111102
- Hexadecimal: 0x17DDA3BE
- Base-36: 6MDZNI
Squares and roots of 400401342
- 400401342 squared (4004013422) is 160321234675400964
- 400401342 cubed (4004013423) is 64192837515127480373693688
-
The
square root of 400401342 is 20010.0310344587 -
The
cube root of 400401342 is 737.0526434513
Scales and comparisons
How big is 400401342?- 400,401,342 seconds is equal to 12 years, 38 weeks, 6 hours, 35 minutes, 42 seconds.
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To count from 1 to 400,401,342 would take you about nineteen 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 400401342 cubic inches would be around 61.4 feet tall.
Recreational maths with 400401342
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