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12344414024031 = 331132735634667
BaseRepresentation
bin1011001110100010100001…
…1010011011000101011111
31121201010002102211022200120
42303220220122123011133
53104222324442232111
642130540121530023
72412566041633365
oct263505032330537
947633072738616
1012344414024031
113a2a266997791
12147451b343913
136b70c4c0408b
14309689617635
1516618e870406
hexb3a2869b15f

12344414024031 has 8 divisors (see below), whose sum is σ = 16990161237504. Its totient is φ = 7964138079960.

The previous prime is 12344414024017. The next prime is 12344414024051. The reversal of 12344414024031 is 13042041444321.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 12344414024031 - 25 = 12344414023999 is a prime.

It is a super-2 number, since 2×123444140240312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12344414023983 and 12344414024001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12344414024051) 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 7 ways as a sum of consecutive naturals, for example, 66367817241 + ... + 66367817426.

It is an arithmetic number, because the mean of its divisors is an integer number (2123770154688).

Almost surely, 212344414024031 is an apocalyptic number.

12344414024031 is a deficient number, since it is larger than the sum of its proper divisors (4645747213473).

12344414024031 is a wasteful number, since it uses less digits than its factorization.

12344414024031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132735634701.

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

Adding to 12344414024031 its reverse (13042041444321), we get a palindrome (25386455468352).

The spelling of 12344414024031 in words is "twelve trillion, three hundred forty-four billion, four hundred fourteen million, twenty-four thousand, thirty-one".

Divisors: 1 3 31 93 132735634667 398206904001 4114804674677 12344414024031