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1005131414 = 27231330853
BaseRepresentation
bin111011111010010…
…001011010010110
32121001022222002102
4323322101122112
54024303201124
6243423242102
733623322200
oct7372213226
92531288072
101005131414
11476409121
12240749332
13130315a21
14976c5770
155d396aae
hex3be91696

1005131414 has 24 divisors (see below), whose sum is σ = 1810433088. Its totient is φ = 416873520.

The previous prime is 1005131399. The next prime is 1005131459. The reversal of 1005131414 is 4141315001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162389 + ... + 168464.

It is an arithmetic number, because the mean of its divisors is an integer number (75434712).

Almost surely, 21005131414 is an apocalyptic number.

1005131414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1005131414 is a deficient number, since it is larger than the sum of its proper divisors (805301674).

1005131414 is a wasteful number, since it uses less digits than its factorization.

1005131414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330900 (or 330893 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1005131414 is about 31703.8075631303. The cubic root of 1005131414 is about 1001.7075539333.

Adding to 1005131414 its reverse (4141315001), we get a palindrome (5146446415).

The spelling of 1005131414 in words is "one billion, five million, one hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 7 14 31 49 62 98 217 434 1519 3038 330853 661706 2315971 4631942 10256443 16211797 20512886 32423594 71795101 143590202 502565707 1005131414