Search a number
-
+
312340318856532 = 223273118850958469
BaseRepresentation
bin100011100000100100110010…
…1110000010010010101010100
31111221220102221211222211211100
41013001021211300102111110
5311414340433111402112
63024143054524310100
7122534562162162561
oct10701114560222524
91457812854884740
10312340318856532
119058087033225a
122b0457909a2330
1310538747a76455
14571b4d0205868
152619a4d90b2dc
hex11c1265c12554

312340318856532 has 36 divisors (see below), whose sum is σ = 800342354336980. Its totient is φ = 102687228116352.

The previous prime is 312340318856507. The next prime is 312340318856551. The reversal of 312340318856532 is 235658813043213.

312340318856532 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 40 + 3 + 1 + 8 + 8 + 565 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 150795354575376 + 161544964281156 = 12279876^2 + 12710034^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59425476607 + ... + 59425481862.

Almost surely, 2312340318856532 is an apocalyptic number.

It is an amenable number.

312340318856532 is an abundant number, since it is smaller than the sum of its proper divisors (488002035480448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312340318856532 is a wasteful number, since it uses less digits than its factorization.

312340318856532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118850958552 (or 118850958547 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 312340318856532 in words is "three hundred twelve trillion, three hundred forty billion, three hundred eighteen million, eight hundred fifty-six thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 118850958469 237701916938 356552875407 475403833876 713105750814 1069658626221 1426211501628 2139317252442 4278634504884 8676119968237 17352239936474 26028359904711 34704479872948 52056719809422 78085079714133 104113439618844 156170159428266 312340318856532