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8306444941 = 73971816481
BaseRepresentation
bin1111011110001101…
…00100101010001101
3210102220001010022221
413233012210222031
5114002422214231
63452123535341
7412561421434
oct75706445215
923386033287
108306444941
113582854033
12173998a551
13a24b895a2
1458b27811b
1533937dd11
hex1ef1a4a8d

8306444941 has 16 divisors (see below), whose sum is σ = 8555358448. Its totient is φ = 8062156800.

The previous prime is 8306444899. The next prime is 8306444957. The reversal of 8306444941 is 1494446038.

8306444941 = 644452 + 644462.

It can be written as a sum of positive squares in 8 ways, for example, as 21622500 + 8284822441 = 4650^2 + 91021^2 .

It is a 9-Lehmer number, since φ(8306444941) divides (8306444941-1)9.

It is a cyclic number.

It is not a de Polignac number, because 8306444941 - 227 = 8172227213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8306444441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278421 + ... + 1284901.

It is an arithmetic number, because the mean of its divisors is an integer number (534709903).

Almost surely, 28306444941 is an apocalyptic number.

8306444941 is the 64446-th centered square number.

It is an amenable number.

8306444941 is a deficient number, since it is larger than the sum of its proper divisors (248913507).

8306444941 is a wasteful number, since it uses less digits than its factorization.

8306444941 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832.

The product of its (nonzero) digits is 331776, while the sum is 43.

The square root of 8306444941 is about 91139.7001366583. The cubic root of 8306444941 is about 2025.2177739475.

The spelling of 8306444941 in words is "eight billion, three hundred six million, four hundred forty-four thousand, nine hundred forty-one".

Divisors: 1 73 97 181 6481 7081 13213 17557 473113 628657 1173061 1281661 45891961 85633453 113786917 8306444941