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416440141 = 13136123537
BaseRepresentation
bin11000110100100…
…101111101001101
31002000121100110221
4120310211331031
51323102041031
6105153431341
713214453125
oct3064457515
91060540427
10416440141
111a4084707
12b756b551
13683795b0
143d443c85
152685ea11
hex18d25f4d

416440141 has 8 divisors (see below), whose sum is σ = 448822584. Its totient is φ = 384107520.

The previous prime is 416440121. The next prime is 416440147. The reversal of 416440141 is 141044614.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2114116 + 414326025 = 1454^2 + 20355^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 416440141 - 29 = 416439629 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416440147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5925 + ... + 29461.

It is an arithmetic number, because the mean of its divisors is an integer number (56102823).

Almost surely, 2416440141 is an apocalyptic number.

It is an amenable number.

416440141 is a deficient number, since it is larger than the sum of its proper divisors (32382443).

416440141 is a wasteful number, since it uses less digits than its factorization.

416440141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24911.

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 416440141 is about 20406.8650458614. The cubic root of 416440141 is about 746.7654127969.

Adding to 416440141 its reverse (141044614), we get a palindrome (557484755).

The spelling of 416440141 in words is "four hundred sixteen million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 13 1361 17693 23537 305981 32033857 416440141