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4442430301431 = 312768271707913
BaseRepresentation
bin100000010100101010101…
…1110101110010011110111
3120201200200121100201020120
41000221111132232103313
51040241044124121211
613240454014503023
7635645364343623
oct100512536562367
916650617321216
104442430301431
11146302a100491
125b8b80b04a73
13262bc4b541c5
1411502c77a183
157a8578e9d06
hex40a557ae4f7

4442430301431 has 16 divisors (see below), whose sum is σ = 5970758037504. Its totient is φ = 2937868242624.

The previous prime is 4442430301349. The next prime is 4442430301447. The reversal of 4442430301431 is 1341030342444.

It is not a de Polignac number, because 4442430301431 - 222 = 4442426107127 is a prime.

It is a super-2 number, since 2×44424303014312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4442430301392 and 4442430301401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4442430301481) 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 15 ways as a sum of consecutive naturals, for example, 1747131 + ... + 3455043.

It is an arithmetic number, because the mean of its divisors is an integer number (373172377344).

Almost surely, 24442430301431 is an apocalyptic number.

4442430301431 is a deficient number, since it is larger than the sum of its proper divisors (1528327736073).

4442430301431 is a wasteful number, since it uses less digits than its factorization.

4442430301431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714870.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 4442430301431 its reverse (1341030342444), we get a palindrome (5783460643875).

The spelling of 4442430301431 in words is "four trillion, four hundred forty-two billion, four hundred thirty million, three hundred one thousand, four hundred thirty-one".

Divisors: 1 3 127 381 6827 20481 867029 1707913 2601087 5123739 216904951 650714853 11659922051 34979766153 1480810100477 4442430301431