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1410000141 = 31147909091
BaseRepresentation
bin101010000001010…
…1110010100001101
310122021011102120110
41110002232110031
510341430001031
6351525110233
746640542404
oct12402562415
93567142513
101410000141
116639a9a80
12334258379
13196170414
14d539663b
1583bbcc46
hex540ae50d

1410000141 has 16 divisors (see below), whose sum is σ = 2094547968. Its totient is φ = 836362800.

The previous prime is 1410000139. The next prime is 1410000173.

1410000141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1410000141 - 21 = 1410000139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1410000121) 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 15 ways as a sum of consecutive naturals, for example, 452995 + ... + 456096.

It is an arithmetic number, because the mean of its divisors is an integer number (130909248).

Almost surely, 21410000141 is an apocalyptic number.

1410000141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1410000141 is a deficient number, since it is larger than the sum of its proper divisors (684547827).

1410000141 is a wasteful number, since it uses less digits than its factorization.

1410000141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909152.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1410000141 is about 37549.9685885355. The cubic root of 1410000141 is about 1121.3462078323.

It can be divided in two parts, 1410000 and 141, that multiplied together give a square (198810000 = 141002).

The spelling of 1410000141 in words is "one billion, four hundred ten million, one hundred forty-one", and thus it is an aban number.

Divisors: 1 3 11 33 47 141 517 1551 909091 2727273 10000001 30000003 42727277 128181831 470000047 1410000141