Search a number
-
+
312444063252 = 2232383111720287
BaseRepresentation
bin1001000101111110001…
…11100000111000010100
31002212110202121221100200
410202333013200320110
520104341140011002
6355311304340500
731400440501206
oct4427707407024
91085422557320
10312444063252
1111056358a1a2
1250678a74730
1323603c91b49
141119db14776
1581d9de8b1c
hex48bf1e0e14

312444063252 has 72 divisors (see below), whose sum is σ = 792599248896. Its totient is φ = 103777982784.

The previous prime is 312444063241. The next prime is 312444063257. The reversal of 312444063252 is 252360444213.

312444063252 is a `hidden beast` number, since 3 + 1 + 244 + 406 + 3 + 2 + 5 + 2 = 666.

It is a super-2 number, since 2×3124440632522 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312444063257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15391053 + ... + 15411339.

Almost surely, 2312444063252 is an apocalyptic number.

It is an amenable number.

312444063252 is an abundant number, since it is smaller than the sum of its proper divisors (480155185644).

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

312444063252 is a wasteful number, since it uses less digits than its factorization.

312444063252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21797 (or 21792 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 312444063252 in words is "three hundred twelve billion, four hundred forty-four million, sixty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 383 766 1117 1149 1532 2234 2298 3351 3447 4468 4596 6702 6894 10053 13404 13788 20106 20287 40212 40574 60861 81148 121722 182583 243444 365166 427811 730332 855622 1283433 1711244 2566866 3850299 5133732 7700598 7769921 15401196 15539842 22660579 23309763 31079684 45321158 46619526 67981737 69929289 90642316 93239052 135963474 139858578 203945211 271926948 279717156 407890422 815780844 8679001757 17358003514 26037005271 34716007028 52074010542 78111015813 104148021084 156222031626 312444063252