Search a number
-
+
313425416205 = 325111240151059
BaseRepresentation
bin1001000111110011001…
…11000101000000001101
31002222000011012211112100
410203321213011000031
520113343401304310
6355552522225313
731433655036426
oct4437147050015
91088004184470
10313425416205
11110a175271a0
12508b1655239
132372c3a0675
14112541aa64d
158246144ec0
hex48f99c500d

313425416205 has 48 divisors (see below), whose sum is σ = 592718368320. Its totient is φ = 151948608000.

The previous prime is 313425416173. The next prime is 313425416237. The reversal of 313425416205 is 502614524313.

313425416205 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 25 + 4 + 1 + 620 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (313425416173) and next prime (313425416237).

It is not a de Polignac number, because 313425416205 - 25 = 313425416173 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 313425416205.

It is a congruent number.

It is an unprimeable number.

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, 6112966 + ... + 6164024.

It is an arithmetic number, because the mean of its divisors is an integer number (12348299340).

Almost surely, 2313425416205 is an apocalyptic number.

It is an amenable number.

313425416205 is a deficient number, since it is larger than the sum of its proper divisors (279292952115).

313425416205 is a wasteful number, since it uses less digits than its factorization.

313425416205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63482 (or 63479 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 313425416205 in words is "three hundred thirteen billion, four hundred twenty-five million, four hundred sixteen thousand, two hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 12401 37203 51059 62005 111609 136411 153177 186015 255295 409233 459531 558045 561649 682055 765885 1227699 1684947 2046165 2297655 2808245 5054841 6138495 8424735 25274205 633182659 1899547977 3165913295 5698643931 6965009249 9497739885 20895027747 28493219655 34825046245 62685083241 104475138735 313425416205