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312445323544212 = 223331508118367049
BaseRepresentation
bin100011100001010101101100…
…0100001011000011010010100
31111222021110222210211122221000
41013002223120201120122110
5311423101010311403322
63024303222231223300
7122545300246251345
oct10702533041303224
91458243883748830
10312445323544212
1190611354787281
122b061bb6817b30
1310545610396341
145722611bc80cc
15261c6471c63ac
hex11c2ad8858694

312445323544212 has 96 divisors (see below), whose sum is σ = 836338478976000. Its totient is φ = 100768972147200.

The previous prime is 312445323544129. The next prime is 312445323544217. The reversal of 312445323544212 is 212445323544213.

312445323544212 is a `hidden beast` number, since 3 + 1 + 2 + 44 + 53 + 2 + 3 + 544 + 2 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312445323544217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7827664 + ... + 26194712.

It is an arithmetic number, because the mean of its divisors is an integer number (8711859156000).

Almost surely, 2312445323544212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312445323544212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418169239488000).

312445323544212 is an abundant number, since it is smaller than the sum of its proper divisors (523893155431788).

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

312445323544212 is a wasteful number, since it uses less digits than its factorization.

312445323544212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18372174 (or 18372166 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

Subtracting from 312445323544212 its reverse (212445323544213), we obtain a palindrome (99999999999999).

The spelling of 312445323544212 in words is "three hundred twelve trillion, four hundred forty-five billion, three hundred twenty-three million, five hundred forty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 5081 10162 15243 20324 30486 45729 60972 91458 137187 157511 182916 274374 315022 472533 548748 630044 945066 1417599 1890132 2835198 4252797 5670396 8505594 17011188 18367049 36734098 55101147 73468196 110202294 165303441 220404588 330606882 495910323 569378519 661213764 991820646 1138757038 1708135557 1983641292 2277514076 3416271114 5124406671 6832542228 10248813342 15373220013 20497626684 30746440026 61492880052 93322975969 186645951938 279968927907 373291903876 559937855814 839906783721 1119875711628 1679813567442 2519720351163 2893012255039 3359627134884 5039440702326 5786024510078 8679036765117 10078881404652 11572049020156 17358073530234 26037110295351 34716147060468 52074220590702 78111330886053 104148441181404 156222661772106 312445323544212