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410023141 = 11229116849
BaseRepresentation
bin11000011100000…
…111010011100101
31001120112100000021
4120130013103211
51314431220031
6104404115141
713106065513
oct3034072345
91046470007
10410023141
111a04a1500
12b5395ab1
1366c40858
143c6534b3
1525ee3511
hex187074e5

410023141 has 12 divisors (see below), whose sum is σ = 466231500. Its totient is φ = 359891840.

The previous prime is 410023129. The next prime is 410023147. The reversal of 410023141 is 141320014.

410023141 = T405 + T406 + ... + T1361.

It can be written as a sum of positive squares in 2 ways, for example, as 286591041 + 123432100 = 16929^2 + 11110^2 .

It is not a de Polignac number, because 410023141 - 213 = 410014949 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 (410023147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54916 + ... + 61933.

It is an arithmetic number, because the mean of its divisors is an integer number (38852625).

Almost surely, 2410023141 is an apocalyptic number.

It is an amenable number.

410023141 is a deficient number, since it is larger than the sum of its proper divisors (56208359).

410023141 is a wasteful number, since it uses less digits than its factorization.

410023141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116900 (or 116889 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 410023141 is about 20249.0281495187. The cubic root of 410023141 is about 742.9098605920.

Adding to 410023141 its reverse (141320014), we get a palindrome (551343155).

The spelling of 410023141 in words is "four hundred ten million, twenty-three thousand, one hundred forty-one".

Divisors: 1 11 29 121 319 3509 116849 1285339 3388621 14138729 37274831 410023141