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30271824145 = 5291499411489
BaseRepresentation
bin11100001100010101…
…110110000100010001
32220010200210000000001
4130030111312010101
5443444041333040
621523502130001
72121110155033
oct341425660421
986120700001
1030271824145
1111924723592
125a49b80901
132b157a92a4
1416725a5c53
15bc291e59a
hex70c576111

30271824145 has 32 divisors (see below), whose sum is σ = 37896660000. Its totient is φ = 23185182720.

The previous prime is 30271824139. The next prime is 30271824161. The reversal of 30271824145 is 54142817203.

It is a Cunningham number, because it is equal to 1739882+1.

It can be written as a sum of positive squares in 16 ways, for example, as 14397840081 + 15873984064 = 119991^2 + 125992^2 .

It is not a de Polignac number, because 30271824145 - 223 = 30263435537 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20329561 + ... + 20331049.

It is an arithmetic number, because the mean of its divisors is an integer number (1184270625).

Almost surely, 230271824145 is an apocalyptic number.

It is an amenable number.

30271824145 is a deficient number, since it is larger than the sum of its proper divisors (7624835855).

30271824145 is a wasteful number, since it uses less digits than its factorization.

30271824145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2613.

The product of its (nonzero) digits is 53760, while the sum is 37.

The spelling of 30271824145 in words is "thirty billion, two hundred seventy-one million, eight hundred twenty-four thousand, one hundred forty-five".

Divisors: 1 5 29 145 149 745 941 1489 4321 4705 7445 21605 27289 43181 136445 140209 215905 221861 701045 1109305 1401149 4066061 6433969 7005745 20330305 32169845 40633321 203166605 208771201 1043856005 6054364829 30271824145