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30234041026560 = 21135572673701
BaseRepresentation
bin1101101111111011010010…
…10001101000100000000000
310222001100100022011202200000
412313331221101220200000
512430323304000322220
6144145154322400000
76240223502320500
oct667755121504000
9128040308152600
1030234041026560
1196a7203a61358
123483687200000
1313b409a0aaa97
1476749a469a00
153766cba03390
hex1b7f69468800

30234041026560 has 1728 divisors, whose sum is σ = 128329565232960. Its totient is φ = 6805654732800.

The previous prime is 30234041026543. The next prime is 30234041026577. The reversal of 30234041026560 is 6562014043203.

30234041026560 is a `hidden beast` number, since 3 + 0 + 2 + 34 + 0 + 41 + 0 + 26 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (30234041026543) and next prime (30234041026577).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8169152710 + ... + 8169156410.

It is an arithmetic number, because the mean of its divisors is an integer number (74264794695).

Almost surely, 230234041026560 is an apocalyptic number.

30234041026560 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 30234041026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64164782616480).

30234041026560 is an abundant number, since it is smaller than the sum of its proper divisors (98095524206400).

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

30234041026560 is an equidigital number, since it uses as much as digits as its factorization.

30234041026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 30234041026560 its reverse (6562014043203), we get a palindrome (36796055069763).

The spelling of 30234041026560 in words is "thirty trillion, two hundred thirty-four billion, forty-one million, twenty-six thousand, five hundred sixty".