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8070300441 = 327218300001
BaseRepresentation
bin1111000010000011…
…10000001100011001
3202211102200201222100
413201001300030121
5113011444103231
63412450314013
7403663264500
oct74101601431
922742621870
108070300441
113471524195
121692888909
139b7c88608
14567b67837
153237851e6
hex1e1070319

8070300441 has 18 divisors (see below), whose sum is σ = 13560301482. Its totient is φ = 4611600000.

The previous prime is 8070300431. The next prime is 8070300443. The reversal of 8070300441 is 1440030708.

It can be written as a sum of positive squares in only one way, i.e., 6884186841 + 1186113600 = 82971^2 + 34440^2 .

It is a de Polignac number, because none of the positive numbers 2k-8070300441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8070300443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 9149560 + ... + 9150441.

Almost surely, 28070300441 is an apocalyptic number.

It is an amenable number.

8070300441 is a deficient number, since it is larger than the sum of its proper divisors (5490001041).

8070300441 is a wasteful number, since it uses less digits than its factorization.

8070300441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18300021 (or 18300011 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 8070300441 is about 89834.8509265753. The cubic root of 8070300441 is about 2005.8412931216.

The spelling of 8070300441 in words is "eight billion, seventy million, three hundred thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 49 63 147 441 18300001 54900003 128100007 164700009 384300021 896700049 1152900063 2690100147 8070300441