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30144400031 = 31972400001
BaseRepresentation
bin11100000100101111…
…110000101010011111
32212210211000011222102
4130010233300222133
5443213431300111
621503111035315
72115002113124
oct340457605237
985724004872
1030144400031
11118698009a9
125a1336bb3b
132ac52830c5
14165d6b674b
15bb664e13b
hex704bf0a9f

30144400031 has 4 divisors (see below), whose sum is σ = 31116800064. Its totient is φ = 29172000000.

The previous prime is 30144400007. The next prime is 30144400057. The reversal of 30144400031 is 13000444103.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 30144400031 - 210 = 30144399007 is a prime.

It is a super-2 number, since 2×301444000312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30144399976 and 30144400012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30144403031) 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 3 ways as a sum of consecutive naturals, for example, 486199970 + ... + 486200031.

It is an arithmetic number, because the mean of its divisors is an integer number (7779200016).

Almost surely, 230144400031 is an apocalyptic number.

30144400031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

30144400031 is a deficient number, since it is larger than the sum of its proper divisors (972400033).

30144400031 is an equidigital number, since it uses as much as digits as its factorization.

30144400031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972400032.

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 30144400031 its reverse (13000444103), we get a palindrome (43144844134).

The spelling of 30144400031 in words is "thirty billion, one hundred forty-four million, four hundred thousand, thirty-one".

Divisors: 1 31 972400001 30144400031