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1414222224141 = 319151681163573
BaseRepresentation
bin10100100101000110001…
…101101001101100001101
312000012100120121122021010
4110211012031221230031
5141132311342133031
63001403522155433
7204113513364246
oct24450615515415
95005316548233
101414222224141
114a584a638841
121aa1041b2b79
13a348c28190c
144c63d40bccd
1526bc1a3c246
hex14946369b0d

1414222224141 has 16 divisors (see below), whose sum is σ = 1984898517440. Its totient is φ = 893181634560.

The previous prime is 1414222224137. The next prime is 1414222224161.

1414222224141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1414222224141 - 22 = 1414222224137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1414222224099 and 1414222224108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414222224161) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8564031 + ... + 8727603.

It is an arithmetic number, because the mean of its divisors is an integer number (124056157340).

Almost surely, 21414222224141 is an apocalyptic number.

It is an amenable number.

1414222224141 is a deficient number, since it is larger than the sum of its proper divisors (570676293299).

1414222224141 is a wasteful number, since it uses less digits than its factorization.

1414222224141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315276.

The product of its digits is 8192, while the sum is 30.

The spelling of 1414222224141 in words is "one trillion, four hundred fourteen billion, two hundred twenty-two million, two hundred twenty-four thousand, one hundred forty-one".

Divisors: 1 3 19 57 151681 163573 455043 490719 2881939 3107887 8645817 9323661 24810916213 74432748639 471407408047 1414222224141