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4042412211411 = 33721388424399
BaseRepresentation
bin111010110100110010100…
…010110011110011010011
3112022110011122202021102000
4322310302202303303103
51012212330011231121
612333020350525043
7565024512600210
oct72646242636323
915273148667360
104042412211411
111319417342862
12553543806783
13234275850c12
14dd922028b07
157024462b526
hex3ad328b3cd3

4042412211411 has 16 divisors (see below), whose sum is σ = 6844295808000. Its totient is φ = 2309949834984.

The previous prime is 4042412211403. The next prime is 4042412211437. The reversal of 4042412211411 is 1141122142404.

4042412211411 is a `hidden beast` number, since 4 + 0 + 4 + 24 + 1 + 221 + 1 + 411 = 666.

4042412211411 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 4042412211411 - 23 = 4042412211403 is a prime.

It is a super-2 number, since 2×40424122114112 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4042412216411) 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 15 ways as a sum of consecutive naturals, for example, 10694212011 + ... + 10694212388.

It is an arithmetic number, because the mean of its divisors is an integer number (427768488000).

Almost surely, 24042412211411 is an apocalyptic number.

4042412211411 is a deficient number, since it is larger than the sum of its proper divisors (2801883596589).

4042412211411 is a wasteful number, since it uses less digits than its factorization.

4042412211411 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21388424415 (or 21388424409 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 4042412211411 its reverse (1141122142404), we get a palindrome (5183534353815).

The spelling of 4042412211411 in words is "four trillion, forty-two billion, four hundred twelve million, two hundred eleven thousand, four hundred eleven".

Divisors: 1 3 7 9 21 27 63 189 21388424399 64165273197 149718970793 192495819591 449156912379 577487458773 1347470737137 4042412211411