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414020331 = 32279716447
BaseRepresentation
bin11000101011010…
…111001011101011
31001212001102010100
4120223113023223
51321442122311
6105025520443
713155054234
oct3053271353
91055042110
10414020331
111a278166a
12b67a3123
1367a1005a
143cdb408b
1526532a56
hex18ad72eb

414020331 has 12 divisors (see below), whose sum is σ = 598279552. Its totient is φ = 275898096.

The previous prime is 414020293. The next prime is 414020333. The reversal of 414020331 is 133020414.

It is a de Polignac number, because none of the positive numbers 2k-414020331 is a prime.

It is a super-2 number, since 2×4140203312 = 342825668962699122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414020333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16950 + ... + 33396.

Almost surely, 2414020331 is an apocalyptic number.

414020331 is a deficient number, since it is larger than the sum of its proper divisors (184259221).

414020331 is a wasteful number, since it uses less digits than its factorization.

414020331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19250 (or 19247 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 414020331 is about 20347.4895503106. The cubic root of 414020331 is about 745.3161914747.

Adding to 414020331 its reverse (133020414), we get a palindrome (547040745).

The spelling of 414020331 in words is "four hundred fourteen million, twenty thousand, three hundred thirty-one".

Divisors: 1 3 9 2797 8391 16447 25173 49341 148023 46002259 138006777 414020331