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4114042234431 = 323593591004461
BaseRepresentation
bin111011110111100000000…
…001101010011000111111
3112120022001200021110111120
4323313200001222120333
51014401024303000211
612425544230522023
7603141542002443
oct73674001523077
915508050243446
104114042234431
111346834652298
125653b4506313
1323ac4c8b391c
1410319930c823
1572037dbbd06
hex3bde006a63f

4114042234431 has 16 divisors (see below), whose sum is σ = 5723986974720. Its totient is φ = 2623400413920.

The previous prime is 4114042234427. The next prime is 4114042234441. The reversal of 4114042234431 is 1344322404114.

It is a happy number.

It is not a de Polignac number, because 4114042234431 - 22 = 4114042234427 is a prime.

It is a super-2 number, since 2×41140422344312 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4114042234392 and 4114042234401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114042234411) 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, 3593541 + ... + 4598001.

It is an arithmetic number, because the mean of its divisors is an integer number (357749185920).

Almost surely, 24114042234431 is an apocalyptic number.

4114042234431 is a deficient number, since it is larger than the sum of its proper divisors (1609944740289).

4114042234431 is a wasteful number, since it uses less digits than its factorization.

4114042234431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063846.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 4114042234431 its reverse (1344322404114), we get a palindrome (5458364638545).

The spelling of 4114042234431 in words is "four trillion, one hundred fourteen billion, forty-two million, two hundred thirty-four thousand, four hundred thirty-one".

Divisors: 1 3 23 69 59359 178077 1004461 1365257 3013383 4095771 23102603 69307809 59623800499 178871401497 1371347411477 4114042234431