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3214413431341 = 72207799315691
BaseRepresentation
bin101110110001101001111…
…110001000001000101101
3102101021221222222010200221
4232301221332020020231
5410131104314300331
610500403043251341
7451143106231600
oct56615176101055
912337858863627
103214413431341
11102a252645202
1243ab84679b51
131a416bcc2b78
14b1815350337
1558933264711
hex2ec69f8822d

3214413431341 has 12 divisors (see below), whose sum is σ = 3739245463200. Its totient is φ = 2755189526040.

The previous prime is 3214413431267. The next prime is 3214413431351. The reversal of 3214413431341 is 1431343144123.

3214413431341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-3214413431341 is a prime.

It is a super-3 number, since 3×32144134313413 (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3214413431297 and 3214413431306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214413431351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10024306 + ... + 10339996.

It is an arithmetic number, because the mean of its divisors is an integer number (311603788600).

Almost surely, 23214413431341 is an apocalyptic number.

It is an amenable number.

3214413431341 is a deficient number, since it is larger than the sum of its proper divisors (524832031859).

3214413431341 is a wasteful number, since it uses less digits than its factorization.

3214413431341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523504 (or 523497 counting only the distinct ones).

The product of its digits is 41472, while the sum is 34.

Adding to 3214413431341 its reverse (1431343144123), we get a palindrome (4645756575464).

The spelling of 3214413431341 in words is "three trillion, two hundred fourteen billion, four hundred thirteen million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 7 49 207799 315691 1454593 2209837 10182151 15468859 65600274109 459201918763 3214413431341