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2141444129 = 112911359407
BaseRepresentation
bin111111110100011…
…1101100000100001
312112020111122002112
41333220331200201
513341202203004
6552254325105
7104031655226
oct17750754041
95466448075
102141444129
119a9875740
124b91b9795
1328186bb06
1416459794d
15c8001e6e
hex7fa3d821

2141444129 has 16 divisors (see below), whose sum is σ = 2438104320. Its totient is φ = 1862972160.

The previous prime is 2141444113. The next prime is 2141444131. The reversal of 2141444129 is 9214441412.

It is a cyclic number.

It is not a de Polignac number, because 2141444129 - 24 = 2141444113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2141444095 and 2141444104.

It is not an unprimeable number, because it can be changed into a prime (2141444159) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6344 + ... + 65750.

It is an arithmetic number, because the mean of its divisors is an integer number (152381520).

Almost surely, 22141444129 is an apocalyptic number.

2141444129 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2141444129 is a deficient number, since it is larger than the sum of its proper divisors (296660191).

2141444129 is a wasteful number, since it uses less digits than its factorization.

2141444129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59560.

The product of its digits is 9216, while the sum is 32.

The square root of 2141444129 is about 46275.7401777649. The cubic root of 2141444129 is about 1288.9485511095.

The spelling of 2141444129 in words is "two billion, one hundred forty-one million, four hundred forty-four thousand, one hundred twenty-nine".

Divisors: 1 11 29 113 319 1243 3277 36047 59407 653477 1722803 6712991 18950833 73842901 194676739 2141444129