Search a number
-
+
315144001225 = 521729226711279
BaseRepresentation
bin1001001011000000000…
…10111101011011001001
31010010102221000222222101
410211200002331123021
520130403331014400
6400435233353401
731524363545404
oct4454002753311
91103387028871
10315144001225
11111719633599
12510b1108861
1323944456291
141137852cd3b
1582e6e6a56a
hex49600bd6c9

315144001225 has 48 divisors (see below), whose sum is σ = 428260089600. Its totient is φ = 228981294080.

The previous prime is 315144001219. The next prime is 315144001229. The reversal of 315144001225 is 522100441513.

It is not a de Polignac number, because 315144001225 - 27 = 315144001097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 315144001193 and 315144001202.

It is not an unprimeable number, because it can be changed into a prime (315144001229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27935136 + ... + 27946414.

It is an arithmetic number, because the mean of its divisors is an integer number (8922085200).

Almost surely, 2315144001225 is an apocalyptic number.

It is an amenable number.

315144001225 is a deficient number, since it is larger than the sum of its proper divisors (113116088375).

315144001225 is a wasteful number, since it uses less digits than its factorization.

315144001225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13602 (or 13597 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 315144001225 its reverse (522100441513), we get a palindrome (837244442738).

The spelling of 315144001225 in words is "three hundred fifteen billion, one hundred forty-four million, one thousand, two hundred twenty-five".

Divisors: 1 5 17 25 29 85 145 425 493 725 2267 2465 11279 11335 12325 38539 56395 56675 65743 191743 192695 281975 327091 328715 958715 963475 1117631 1635455 1643575 4793575 5560547 5588155 8177275 25569493 27802735 27940775 127847465 139013675 434681381 639237325 741515297 2173406905 3707576485 10867034525 12605760049 18537882425 63028800245 315144001225