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4021441412031 = 321429312684971
BaseRepresentation
bin111010100001010000100…
…101100011101110111111
3112020110001011111021202200
4322201100211203232333
51011341403000141111
612315231421522543
7563353032001341
oct72412045435677
915213034437680
104021441412031
1113105359248aa
1254b470713453
132322b2cc12a4
14dc8d2c37291
156e91854b256
hex3a850963bbf

4021441412031 has 12 divisors (see below), whose sum is σ = 5812813629480. Its totient is φ = 2679084822960.

The previous prime is 4021441411997. The next prime is 4021441412041. The reversal of 4021441412031 is 1302141441204.

4021441412031 is a `hidden beast` number, since 4 + 0 + 214 + 4 + 1 + 412 + 0 + 31 = 666.

It is not a de Polignac number, because 4021441412031 - 211 = 4021441409983 is a prime.

It is a super-3 number, since 3×40214414120313 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 4021441411986 and 4021441412004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021441412041) 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 11 ways as a sum of consecutive naturals, for example, 156329625 + ... + 156355346.

It is an arithmetic number, because the mean of its divisors is an integer number (484401135790).

Almost surely, 24021441412031 is an apocalyptic number.

4021441412031 is a deficient number, since it is larger than the sum of its proper divisors (1791372217449).

4021441412031 is a wasteful number, since it uses less digits than its factorization.

4021441412031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312686406 (or 312686403 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 4021441412031 its reverse (1302141441204), we get a palindrome (5323582853235).

The spelling of 4021441412031 in words is "four trillion, twenty-one billion, four hundred forty-one million, four hundred twelve thousand, thirty-one".

Divisors: 1 3 9 1429 4287 12861 312684971 938054913 2814164739 446826823559 1340480470677 4021441412031