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313142505405 = 35191975577389
BaseRepresentation
bin1001000111010001011…
…11110110111110111101
31002221021102212110212120
410203220233312332331
520112303440133110
6355504454353153
731423651243542
oct4435057667675
91087242773776
10313142505405
11110891865114
125083295b7b9
13236b58a7122
14112287a4bc9
15822b3ae870
hex48e8bf6fbd

313142505405 has 32 divisors (see below), whose sum is σ = 530075145600. Its totient is φ = 157416198912.

The previous prime is 313142505373. The next prime is 313142505437. The reversal of 313142505405 is 504505241313.

It is an interprime number because it is at equal distance from previous prime (313142505373) and next prime (313142505437).

It is not a de Polignac number, because 313142505405 - 25 = 313142505373 is a prime.

It is a congruent number.

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, 2732550 + ... + 2844839.

It is an arithmetic number, because the mean of its divisors is an integer number (16564848300).

Almost surely, 2313142505405 is an apocalyptic number.

It is an amenable number.

313142505405 is a deficient number, since it is larger than the sum of its proper divisors (216932640195).

313142505405 is a wasteful number, since it uses less digits than its factorization.

313142505405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577613.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 313142505405 its reverse (504505241313), we get a palindrome (817647746718).

It can be divided in two parts, 31314250 and 5405, that added together give a triangular number (31319655 = T7914).

The spelling of 313142505405 in words is "three hundred thirteen billion, one hundred forty-two million, five hundred five thousand, four hundred five".

Divisors: 1 3 5 15 19 57 95 197 285 591 985 2955 3743 11229 18715 56145 5577389 16732167 27886945 83660835 105970391 317911173 529851955 1098745633 1589555865 3296236899 5493728165 16481184495 20876167027 62628501081 104380835135 313142505405