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408132141 = 31719421189
BaseRepresentation
bin11000010100111…
…001101000101101
31001102222021001020
4120110321220231
51313440212031
6104255404353
713054031424
oct3024715055
91042867036
10408132141
1119a41a79a
12b48236b9
136672ac11
143c2c02bb
1525c6d096
hex18539a2d

408132141 has 16 divisors (see below), whose sum is σ = 606513600. Its totient is φ = 242604288.

The previous prime is 408132113. The next prime is 408132149. The reversal of 408132141 is 141231804.

It is not a de Polignac number, because 408132141 - 222 = 403937837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408132149) 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, 209626 + ... + 211563.

It is an arithmetic number, because the mean of its divisors is an integer number (37907100).

Almost surely, 2408132141 is an apocalyptic number.

It is an amenable number.

408132141 is a deficient number, since it is larger than the sum of its proper divisors (198381459).

408132141 is a wasteful number, since it uses less digits than its factorization.

408132141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421228.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 408132141 is about 20202.2805890820. The cubic root of 408132141 is about 741.7660163899.

Adding to 408132141 its reverse (141231804), we get a palindrome (549363945).

The spelling of 408132141 in words is "four hundred eight million, one hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 17 19 51 57 323 969 421189 1263567 7160213 8002591 21480639 24007773 136044047 408132141