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4146128128 = 2857728069
BaseRepresentation
bin1111011100100000…
…1110010100000000
3101200221200010120001
43313020032110000
531442402100003
61523225525344
7204513336052
oct36710162400
911627603501
104146128128
11183842147a
12978643854
13510c9616c
142b49118d2
15193edc61d
hexf720e500

4146128128 has 36 divisors (see below), whose sum is σ = 8290699060. Its totient is φ = 2069397504.

The previous prime is 4146128117. The next prime is 4146128137. The reversal of 4146128128 is 8218216414.

It can be written as a sum of positive squares in 2 ways, for example, as 2649366784 + 1496761344 = 51472^2 + 38688^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 133678 + ... + 161746.

Almost surely, 24146128128 is an apocalyptic number.

It is an amenable number.

4146128128 is a deficient number, since it is larger than the sum of its proper divisors (4144570932).

4146128128 is an equidigital number, since it uses as much as digits as its factorization.

4146128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28662 (or 28648 counting only the distinct ones).

The product of its digits is 24576, while the sum is 37.

The square root of 4146128128 is about 64390.4350660873. The cubic root of 4146128128 is about 1606.5006526775.

It can be divided in two parts, 414612 and 8128, that added together give a triangular number (422740 = T919).

The spelling of 4146128128 in words is "four billion, one hundred forty-six million, one hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 577 1154 2308 4616 9232 18464 28069 36928 56138 73856 112276 147712 224552 449104 898208 1796416 3592832 7185664 16195813 32391626 64783252 129566504 259133008 518266016 1036532032 2073064064 4146128128