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30044400000 = 2735525037
BaseRepresentation
bin11011111110110010…
…010010100110000000
32212112211211122201120
4123332302102212000
5443012331300000
621445135432240
72112346120626
oct337662224600
985484748646
1030044400000
111181830a44a
1259a5985680
132aaa63c5a4
1416502c5516
15bac9996a0
hex6fec92980

30044400000 has 192 divisors, whose sum is σ = 99754396560. Its totient is φ = 8011520000.

The previous prime is 30044399953. The next prime is 30044400017. The reversal of 30044400000 is 444003.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1187482 + ... + 1212518.

Almost surely, 230044400000 is an apocalyptic number.

30044400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30044400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49877198280).

30044400000 is an abundant number, since it is smaller than the sum of its proper divisors (69709996560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30044400000 is an frugal number, since it uses more digits than its factorization.

30044400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25079 (or 25047 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 30044400000 its reverse (444003), we get a palindrome (30044844003).

The spelling of 30044400000 in words is "thirty billion, forty-four million, four hundred thousand".