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38441434381 = 72898814821
BaseRepresentation
bin100011110011010010…
…011011110100001101
310200020001100012101221
4203303102123310031
51112212001400011
625354301203341
72530420541500
oct436322336415
9120201305357
1038441434381
1115337207689
127549b60551
1338181c619c
141c095c1137
15eeec6e971
hex8f349bd0d

38441434381 has 12 divisors (see below), whose sum is σ = 45220036860. Its totient is φ = 32579574720.

The previous prime is 38441434289. The next prime is 38441434393. The reversal of 38441434381 is 18343414483.

It can be written as a sum of positive squares in 2 ways, for example, as 11265911881 + 27175522500 = 106141^2 + 164850^2 .

It is not a de Polignac number, because 38441434381 - 213 = 38441426189 is a prime.

It is a super-2 number, since 2×384414343812 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38441434181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4403050 + ... + 4411771.

It is an arithmetic number, because the mean of its divisors is an integer number (3768336405).

Almost surely, 238441434381 is an apocalyptic number.

It is an amenable number.

38441434381 is a deficient number, since it is larger than the sum of its proper divisors (6778602479).

38441434381 is an equidigital number, since it uses as much as digits as its factorization.

38441434381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8814924 (or 8814917 counting only the distinct ones).

The product of its digits is 442368, while the sum is 43.

The spelling of 38441434381 in words is "thirty-eight billion, four hundred forty-one million, four hundred thirty-four thousand, three hundred eighty-one".

Divisors: 1 7 49 89 623 4361 8814821 61703747 431926229 784519069 5491633483 38441434381