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214402041 = 32715972131
BaseRepresentation
bin11001100011110…
…00001111111001
3112221102202022100
430301320033321
5414341331131
633135214013
75212246560
oct1461701771
9487382270
10214402041
1110002a477
125b977309
133555a719
1420690bd7
1513c517e6
hexcc783f9

214402041 has 24 divisors (see below), whose sum is σ = 354321344. Its totient is φ = 122381280.

The previous prime is 214402033. The next prime is 214402043. The reversal of 214402041 is 140204412.

214402041 is a `hidden beast` number, since 21 + 440 + 204 + 1 = 666.

It is not a de Polignac number, because 214402041 - 23 = 214402033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (214402043) 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, 99546 + ... + 101676.

Almost surely, 2214402041 is an apocalyptic number.

214402041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

214402041 is a deficient number, since it is larger than the sum of its proper divisors (139919303).

214402041 is a wasteful number, since it uses less digits than its factorization.

214402041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 214402041 is about 14642.4738688515. The cubic root of 214402041 is about 598.5167446106.

Adding to 214402041 its reverse (140204412), we get a palindrome (354606453).

The spelling of 214402041 in words is "two hundred fourteen million, four hundred two thousand, forty-one".

Divisors: 1 3 7 9 21 63 1597 2131 4791 6393 11179 14373 14917 19179 33537 44751 100611 134253 3403207 10209621 23822449 30628863 71467347 214402041