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315141400441 = 71031373598887
BaseRepresentation
bin1001001010111111110…
…01000010011101111001
31010010102202010212101001
410211133321002131321
520130402144303231
6400435101525001
731524332464060
oct4453771023571
91103382125331
10315141400441
1111171811758a
12510b0273761
1323943a5555a
14113780531d7
1582e6b04b61
hex495fe42779

315141400441 has 32 divisors (see below), whose sum is σ = 367374458880. Its totient is φ = 264776639616.

The previous prime is 315141400433. The next prime is 315141400451. The reversal of 315141400441 is 144004141513.

It is a cyclic number.

It is not a de Polignac number, because 315141400441 - 23 = 315141400433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315141400451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35456500 + ... + 35465386.

It is an arithmetic number, because the mean of its divisors is an integer number (11480451840).

Almost surely, 2315141400441 is an apocalyptic number.

It is an amenable number.

315141400441 is a deficient number, since it is larger than the sum of its proper divisors (52233058439).

315141400441 is a wasteful number, since it uses less digits than its factorization.

315141400441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9493.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 315141400441 its reverse (144004141513), we get a palindrome (459145541954).

The spelling of 315141400441 in words is "three hundred fifteen billion, one hundred forty-one million, four hundred thousand, four hundred forty-one".

Divisors: 1 7 103 137 359 721 959 2513 8887 14111 36977 49183 62209 98777 258839 344281 915361 1217519 3190433 5065849 6407527 8522633 22333031 35460943 125404457 328614599 437089321 877831199 2300302193 3059625247 45020200063 315141400441