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541344141 = 34131730241
BaseRepresentation
bin100000010001000…
…100000110001101
31101201122010120000
4200101010012031
52102041003031
6125414514513
716262230542
oct4021040615
91351563500
10541344141
11258635958
12131365a39
13881cc6a0
1451c78bc9
15327d33e6
hex2044418d

541344141 has 40 divisors (see below), whose sum is σ = 922139064. Its totient is φ = 313528320.

The previous prime is 541344119. The next prime is 541344187. The reversal of 541344141 is 141443145.

It can be written as a sum of positive squares in 4 ways, for example, as 12574116 + 528770025 = 3546^2 + 22995^2 .

It is not a de Polignac number, because 541344141 - 214 = 541327757 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541344101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2781 + ... + 33021.

Almost surely, 2541344141 is an apocalyptic number.

541344141 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

541344141 is a deficient number, since it is larger than the sum of its proper divisors (380794923).

541344141 is a wasteful number, since it uses less digits than its factorization.

541344141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30283 (or 30274 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 541344141 is about 23266.8034117280. The cubic root of 541344141 is about 815.0003844077. Note that the first 3 decimals are identical.

Adding to 541344141 its reverse (141443145), we get a palindrome (682787286).

The spelling of 541344141 in words is "five hundred forty-one million, three hundred forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1053 1377 1989 5967 17901 30241 90723 272169 393133 514097 816507 1179399 1542291 2449521 3538197 4626873 6683261 10614591 13880619 20049783 31843773 41641857 60149349 180448047 541344141