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2141145601 = 7323271409
BaseRepresentation
bin111111110011111…
…0100101000000001
312112012221110120221
41333213310220001
513341113124401
6552244103041
7104026303000
oct17747645001
95465843527
102141145601
119a9691421
124b9094a81
13281795c7a
1416451ac37
15c7e937a1
hex7f9f4a01

2141145601 has 16 divisors (see below), whose sum is σ = 2605536000. Its totient is φ = 1755466944.

The previous prime is 2141145593. The next prime is 2141145607. The reversal of 2141145601 is 1065411412.

It is not a de Polignac number, because 2141145601 - 23 = 2141145593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2141145607) 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, 127816 + ... + 143593.

It is an arithmetic number, because the mean of its divisors is an integer number (162846000).

Almost surely, 22141145601 is an apocalyptic number.

It is an amenable number.

2141145601 is a deficient number, since it is larger than the sum of its proper divisors (464390399).

2141145601 is an equidigital number, since it uses as much as digits as its factorization.

2141145601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271453 (or 271439 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 2141145601 is about 46272.5145307665. The cubic root of 2141145601 is about 1288.8886530389. Note that the first 3 decimals are identical.

The spelling of 2141145601 in words is "two billion, one hundred forty-one million, one hundred forty-five thousand, six hundred one".

Divisors: 1 7 23 49 161 343 1127 7889 271409 1899863 6242407 13299041 43696849 93093287 305877943 2141145601