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1005441535014 = 23723939084167
BaseRepresentation
bin11101010000110001111…
…11000100110000100110
310120010012221122001012220
432220120333010300212
5112433121013110024
62045520553253210
7132432531015420
oct16503077046046
93503187561186
101005441535014
11358450597774
12142a40404206
1373a7474c147
1436941001810
151b249337e79
hexea18fc4c26

1005441535014 has 16 divisors (see below), whose sum is σ = 2298152080128. Its totient is φ = 287269009992.

The previous prime is 1005441535009. The next prime is 1005441535037. The reversal of 1005441535014 is 4105351445001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11969542042 + ... + 11969542125.

It is an arithmetic number, because the mean of its divisors is an integer number (143634505008).

Almost surely, 21005441535014 is an apocalyptic number.

1005441535014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1005441535014 is an abundant number, since it is smaller than the sum of its proper divisors (1292710545114).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005441535014 is a wasteful number, since it uses less digits than its factorization.

1005441535014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23939084179.

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 1005441535014 in words is "one trillion, five billion, four hundred forty-one million, five hundred thirty-five thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 42 23939084167 47878168334 71817252501 143634505002 167573589169 335147178338 502720767507 1005441535014