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14102001140 = 225712199017
BaseRepresentation
bin11010010001000101…
…10111010111110100
31100101210101212211112
431020202313113310
5212340103014030
610251154454152
71006314013643
oct151042672764
940353355745
1014102001140
115a872371a7
122896894358
1314397a3496
1497ac6935a
15578080a95
hex3488b75f4

14102001140 has 24 divisors (see below), whose sum is σ = 29618660232. Its totient is φ = 5639951360.

The previous prime is 14102001101. The next prime is 14102001149. The reversal of 14102001140 is 4110020141.

It can be written as a sum of positive squares in 4 ways, for example, as 1953993616 + 12148007524 = 44204^2 + 110218^2 .

It is a super-2 number, since 2×141020011402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14102001149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92912 + ... + 191928.

It is an arithmetic number, because the mean of its divisors is an integer number (1234110843).

Almost surely, 214102001140 is an apocalyptic number.

14102001140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14102001140 is an abundant number, since it is smaller than the sum of its proper divisors (15516659092).

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

14102001140 is a wasteful number, since it uses less digits than its factorization.

14102001140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106147 (or 106145 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 14102001140 its reverse (4110020141), we get a palindrome (18212021281).

The spelling of 14102001140 in words is "fourteen billion, one hundred two million, one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 7121 14242 28484 35605 71210 99017 142420 198034 396068 495085 990170 1980340 705100057 1410200114 2820400228 3525500285 7051000570 14102001140