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414042141 = 34310093181
BaseRepresentation
bin11000101011011…
…100100000011101
31001212002112001010
4120223130200131
51321443322031
6105030205433
713155204642
oct3053344035
91055075033
10414042141
111a2796a97
12b67b3879
1367a19c66
143cdbbdc9
1526539246
hex18adc81d

414042141 has 16 divisors (see below), whose sum is σ = 565632320. Its totient is φ = 269256960.

The previous prime is 414042131. The next prime is 414042143. The reversal of 414042141 is 141240414.

It is not a de Polignac number, because 414042141 - 211 = 414040093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414042143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128571 + ... + 131751.

It is an arithmetic number, because the mean of its divisors is an integer number (35352020).

Almost surely, 2414042141 is an apocalyptic number.

It is an amenable number.

414042141 is a deficient number, since it is larger than the sum of its proper divisors (151590179).

414042141 is a wasteful number, since it uses less digits than its factorization.

414042141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4236.

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 414042141 is about 20348.0254816039. The cubic root of 414042141 is about 745.3292786425.

Adding to 414042141 its reverse (141240414), we get a palindrome (555282555).

The spelling of 414042141 in words is "four hundred fourteen million, forty-two thousand, one hundred forty-one".

Divisors: 1 3 43 129 1009 3027 3181 9543 43387 130161 136783 410349 3209629 9628887 138014047 414042141