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4021401340431 = 322933745720083
BaseRepresentation
bin111010100001001110001…
…100101100101000001111
3112020102221101002102212100
4322201032030230220033
51011341312220343211
612315223431010143
7563352034254456
oct72411614545017
915212841072770
104021401340431
111310515245482
1254b45b209953
132322a7900c97
14dc8cb7a5b9d
156e914c83156
hex3a84e32ca0f

4021401340431 has 24 divisors (see below), whose sum is σ = 6026821472880. Its totient is φ = 2580807188736.

The previous prime is 4021401340403. The next prime is 4021401340447. The reversal of 4021401340431 is 1340431041204.

4021401340431 is a `hidden beast` number, since 4 + 0 + 214 + 0 + 13 + 4 + 0 + 431 = 666.

4021401340431 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4021401340431 - 25 = 4021401340399 is a prime.

It is a super-2 number, since 2×40214013404312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4021401340395 and 4021401340404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021401340331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22772085 + ... + 22947998.

It is an arithmetic number, because the mean of its divisors is an integer number (251117561370).

Almost surely, 24021401340431 is an apocalyptic number.

4021401340431 is a deficient number, since it is larger than the sum of its proper divisors (2005420132449).

4021401340431 is a wasteful number, since it uses less digits than its factorization.

4021401340431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45720455 (or 45720452 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4021401340431 its reverse (1340431041204), we get a palindrome (5361832381635).

The spelling of 4021401340431 in words is "four trillion, twenty-one billion, four hundred one million, three hundred forty thousand, four hundred thirty-one".

Divisors: 1 3 9 29 87 261 337 1011 3033 9773 29319 87957 45720083 137160249 411480747 1325882407 3977647221 11932941663 15407667971 46223003913 138669011739 446822371159 1340467113477 4021401340431