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312440420424 = 233119923119267
BaseRepresentation
bin1001000101111101110…
…01100111100001001000
31002212110111202212100010
410202332321213201020
520104334221423144
6355311054311520
731400364516546
oct4427671474110
91085414685303
10312440420424
111105615212a0
12506777b85a0
13236032b7a22
141119d446d96
1581d99295b9
hex48bee67848

312440420424 has 64 divisors (see below), whose sum is σ = 852203255040. Its totient is φ = 94668580160.

The previous prime is 312440420423. The next prime is 312440420431. The reversal of 312440420424 is 424024044213.

It is a junction number, because it is equal to n+sod(n) for n = 312440420391 and 312440420400.

It is not an unprimeable number, because it can be changed into a prime (312440420423) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2560039 + ... + 2679305.

It is an arithmetic number, because the mean of its divisors is an integer number (13315675860).

Almost surely, 2312440420424 is an apocalyptic number.

It is an amenable number.

312440420424 is an abundant number, since it is smaller than the sum of its proper divisors (539762834616).

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

312440420424 is a wasteful number, since it uses less digits than its factorization.

312440420424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129210 (or 129206 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 312440420424 its reverse (424024044213), we get a palindrome (736464464637).

The spelling of 312440420424 in words is "three hundred twelve billion, four hundred forty million, four hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 9923 19846 29769 39692 59538 79384 109153 119076 119267 218306 238152 238534 327459 357801 436612 477068 654918 715602 873224 954136 1309836 1311937 1431204 2619672 2623874 2862408 3935811 5247748 7871622 10495496 15743244 31486488 1183486441 2366972882 3550459323 4733945764 7100918646 9467891528 13018350851 14201837292 26036701702 28403674584 39055052553 52073403404 78110105106 104146806808 156220210212 312440420424