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350444301230431 = 3125145619874691
BaseRepresentation
bin100111110101110100010110…
…0000101101010000101011111
31200221211010222220020220102001
41033223220230011222011133
5331413134412103333211
63241155520042543131
7133546523322312352
oct11753505405520537
91627733886226361
10350444301230431
11a1731658a87041
123337a553507aa7
13120709a9678c35
146277847b38299
152a7acd92c7ac1
hex13eba2c16a15f

350444301230431 has 16 divisors (see below), whose sum is σ = 363269853305856. Its totient is φ = 337714398000000.

The previous prime is 350444301230411. The next prime is 350444301230477. The reversal of 350444301230431 is 134032103444053.

It is a cyclic number.

It is not a de Polignac number, because 350444301230431 - 227 = 350444167012703 is a prime.

It is a super-2 number, since 2×3504443012304312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350444301230411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30551796 + ... + 40426486.

It is an arithmetic number, because the mean of its divisors is an integer number (22704365831616).

Almost surely, 2350444301230431 is an apocalyptic number.

350444301230431 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

350444301230431 is a deficient number, since it is larger than the sum of its proper divisors (12825552075425).

350444301230431 is a wasteful number, since it uses less digits than its factorization.

350444301230431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9879534.

The product of its (nonzero) digits is 207360, while the sum is 37.

Adding to 350444301230431 its reverse (134032103444053), we get a palindrome (484476404674484).

The spelling of 350444301230431 in words is "three hundred fifty trillion, four hundred forty-four billion, three hundred one million, two hundred thirty thousand, four hundred thirty-one".

Divisors: 1 31 251 4561 7781 141391 1144811 9874691 35489141 306115421 2478547441 45038465651 76834970671 1396192435181 11304654878401 350444301230431