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414713019 = 37219148483
BaseRepresentation
bin11000101110000…
…000010010111011
31001220100121022110
4120232000102323
51322131304034
6105052423403
713164000600
oct3056002273
91056317273
10414713019
111a3105036
12b6a77b63
1367bc3426
143d1146a7
152661cde9
hex18b804bb

414713019 has 24 divisors (see below), whose sum is σ = 677087040. Its totient is φ = 224504784.

The previous prime is 414713017. The next prime is 414713077. The reversal of 414713019 is 910317414.

It is not a de Polignac number, because 414713019 - 21 = 414713017 is a prime.

It is a super-2 number, since 2×4147130192 = 343973776256188722, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (414713017) 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, 71449 + ... + 77034.

It is an arithmetic number, because the mean of its divisors is an integer number (28211960).

Almost surely, 2414713019 is an apocalyptic number.

414713019 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

414713019 is a deficient number, since it is larger than the sum of its proper divisors (262374021).

414713019 is a wasteful number, since it uses less digits than its factorization.

414713019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148519 (or 148512 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 414713019 is about 20364.5038977138. The cubic root of 414713019 is about 745.7316170709.

The spelling of 414713019 in words is "four hundred fourteen million, seven hundred thirteen thousand, nineteen".

Divisors: 1 3 7 19 21 49 57 133 147 399 931 2793 148483 445449 1039381 2821177 3118143 7275667 8463531 19748239 21827001 59244717 138237673 414713019