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4234144213441 = 1737103257254299
BaseRepresentation
bin111101100111010110101…
…010010110100111000001
3112222210001210100010220101
4331213112222112213001
51023333011404312231
613001050005042401
7614623016661652
oct75472652264701
915883053303811
104234144213441
11139276602a78a
125847323b6401
1324937cc554ac
14108d0dddd529
1575216cb8661
hex3d9d6a969c1

4234144213441 has 32 divisors (see below), whose sum is σ = 4667190278400. Its totient is φ = 3824772120576.

The previous prime is 4234144213427. The next prime is 4234144213451. The reversal of 4234144213441 is 1443124414324.

It is not a de Polignac number, because 4234144213441 - 217 = 4234144082369 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4234144213441.

It is not an unprimeable number, because it can be changed into a prime (4234144213451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16523110 + ... + 16777408.

It is an arithmetic number, because the mean of its divisors is an integer number (145849696200).

Almost surely, 24234144213441 is an apocalyptic number.

It is an amenable number.

4234144213441 is a deficient number, since it is larger than the sum of its proper divisors (433046064959).

4234144213441 is a wasteful number, since it uses less digits than its factorization.

4234144213441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254713.

The product of its digits is 147456, while the sum is 37.

Adding to 4234144213441 its reverse (1443124414324), we get a palindrome (5677268627765).

The spelling of 4234144213441 in words is "four trillion, two hundred thirty-four billion, one hundred forty-four million, two hundred thirteen thousand, four hundred forty-one".

Divisors: 1 17 37 103 257 629 1751 3811 4369 9509 26471 64787 161653 254299 450007 979427 4323083 9409063 16650259 26192797 65354843 159954071 445277549 969133489 1111032331 2418129191 6731548829 16475269313 41108196247 114436330093 249067306673 4234144213441