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30130071552000 = 21437537312
BaseRepresentation
bin1101101100111001101000…
…01101100100000000000000
310221200101222111021020000000
412312130310031210000000
512422122341304131000
6144025321440000000
76226553155343040
oct666346415440000
9127611874236000
1030130071552000
1196671009a1272
1234674b0000000
1313a733b0a6b34
1476243615d720
15373b44073000
hex1b6734364000

30130071552000 has 2880 divisors, whose sum is σ = 133190840240640. Its totient is φ = 6664716288000.

The previous prime is 30130071551977. The next prime is 30130071552043. The reversal of 30130071552000 is 25517003103.

30130071552000 is a `hidden beast` number, since 3 + 0 + 1 + 300 + 7 + 155 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 971937791985 + ... + 971937792015.

It is an arithmetic number, because the mean of its divisors is an integer number (46246819528).

Almost surely, 230130071552000 is an apocalyptic number.

30130071552000 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 30130071552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66595420120320).

30130071552000 is an abundant number, since it is smaller than the sum of its proper divisors (103060768688640).

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

30130071552000 is an frugal number, since it uses more digits than its factorization.

30130071552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

Adding to 30130071552000 its reverse (25517003103), we get a palindrome (30155588555103).

The spelling of 30130071552000 in words is "thirty trillion, one hundred thirty billion, seventy-one million, five hundred fifty-two thousand".