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414353142 = 232723142979
BaseRepresentation
bin11000101100101…
…000011011110110
31001212200022122200
4120230220123312
51322033300032
6105041005330
713160641440
oct3054503366
91055608580
10414353142
111a2989715
12b6923846
1367ac8698
143d05d490
152659b47c
hex18b286f6

414353142 has 48 divisors (see below), whose sum is σ = 1070634240. Its totient is φ = 113238576.

The previous prime is 414353141. The next prime is 414353171. The reversal of 414353142 is 241353414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414353141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68592 + ... + 74387.

It is an arithmetic number, because the mean of its divisors is an integer number (22304880).

Almost surely, 2414353142 is an apocalyptic number.

414353142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

414353142 is an abundant number, since it is smaller than the sum of its proper divisors (656281098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414353142 is a wasteful number, since it uses less digits than its factorization.

414353142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143017 (or 143014 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 414353142 is about 20355.6660907964. Note that the first 3 decimals coincide. The cubic root of 414353142 is about 745.5158459144.

The spelling of 414353142 in words is "four hundred fourteen million, three hundred fifty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 161 207 322 414 483 966 1449 2898 142979 285958 428937 857874 1000853 1286811 2001706 2573622 3002559 3288517 6005118 6577034 9007677 9865551 18015354 19731102 23019619 29596653 46039238 59193306 69058857 138117714 207176571 414353142