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314421124413 = 31146720402383
BaseRepresentation
bin1001001001101001111…
…01011001110100111101
31010001120112211001102010
410210310331121310331
520122413301440123
6400235411521433
731500435314004
oct4446475316475
91101515731363
10314421124413
11111388589540
1250b2abb9279
132385a767216
141130a51bc3b
1582a3779993
hex4934f59d3d

314421124413 has 16 divisors (see below), whose sum is σ = 458319154176. Its totient is φ = 190150200240.

The previous prime is 314421124331. The next prime is 314421124417.

It is a happy number.

314421124413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 314421124413 - 29 = 314421123901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314421124417) 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, 10185781 + ... + 10216602.

It is an arithmetic number, because the mean of its divisors is an integer number (28644947136).

Almost surely, 2314421124413 is an apocalyptic number.

314421124413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314421124413 is a deficient number, since it is larger than the sum of its proper divisors (143898029763).

314421124413 is a wasteful number, since it uses less digits than its factorization.

314421124413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20402864.

The product of its digits is 9216, while the sum is 30.

It can be divided in two parts, 314421 and 124413, that added together give a palindrome (438834).

The spelling of 314421124413 in words is "three hundred fourteen billion, four hundred twenty-one million, one hundred twenty-four thousand, four hundred thirteen".

Divisors: 1 3 11 33 467 1401 5137 15411 20402383 61207149 224426213 673278639 9527912861 28583738583 104807041471 314421124413