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413410109 = 7229594931
BaseRepresentation
bin11000101001000…
…010001100111101
31001210220102001112
4120221002030331
51321313110414
6105004451405
713146633200
oct3051021475
91053812045
10413410109
111a23a5152
12b6549b65
1367858388
143cc95937
1526461d3e
hex18a4233d

413410109 has 24 divisors (see below), whose sum is σ = 506023200. Its totient is φ = 336265440.

The previous prime is 413410061. The next prime is 413410117. The reversal of 413410109 is 901014314.

It is not a de Polignac number, because 413410109 - 228 = 144974653 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 (413410409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81374 + ... + 86304.

It is an arithmetic number, because the mean of its divisors is an integer number (21084300).

Almost surely, 2413410109 is an apocalyptic number.

413410109 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

413410109 is a deficient number, since it is larger than the sum of its proper divisors (92613091).

413410109 is a wasteful number, since it uses less digits than its factorization.

413410109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 413410109 is about 20332.4890015955. The cubic root of 413410109 is about 744.9498391223.

The spelling of 413410109 in words is "four hundred thirteen million, four hundred ten thousand, one hundred nine".

Divisors: 1 7 29 49 59 203 413 1421 1711 2891 4931 11977 34517 83839 142999 241619 290929 1000993 2036503 7006951 8436941 14255521 59058587 413410109