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312244031424 = 26313172172689
BaseRepresentation
bin1001000101100110011…
…00011100111111000000
31002211221211020021021110
410202303030130333000
520103433433001144
6355235401123320
731362461322063
oct4426314347700
91084854207243
10312244031424
11110470685336
1250621a89540
13235a16c6210
14111813248da
1581c75850b9
hex48b331cfc0

312244031424 has 112 divisors (see below), whose sum is σ = 890224544160. Its totient is φ = 96017940480.

The previous prime is 312244031417. The next prime is 312244031447. The reversal of 312244031424 is 424130442213.

It is a super-3 number, since 3×3122440314243 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312244031391 and 312244031400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4259272 + ... + 4331960.

It is an arithmetic number, because the mean of its divisors is an integer number (7948433430).

Almost surely, 2312244031424 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 312244031424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445112272080).

312244031424 is an abundant number, since it is smaller than the sum of its proper divisors (577980512736).

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

312244031424 is a wasteful number, since it uses less digits than its factorization.

312244031424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74438 (or 74428 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 312244031424 its reverse (424130442213), we get a palindrome (736374473637).

The spelling of 312244031424 in words is "three hundred twelve billion, two hundred forty-four million, thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 1721 2496 3442 5163 6884 10326 13768 20652 22373 27536 41304 44746 55072 67119 72689 82608 89492 110144 134238 145378 165216 178984 218067 268476 290756 330432 357968 436134 536952 581512 715936 872268 944957 1073904 1163024 1431872 1744536 1889914 2147808 2326048 2834871 3489072 3779828 4295616 4652096 5669742 6978144 7559656 11339484 13956288 15119312 22678968 30238624 45357936 60477248 90715872 125097769 181431744 250195538 375293307 500391076 750586614 1000782152 1501173228 1626270997 2001564304 3002346456 3252541994 4003128608 4878812991 6004692912 6505083988 8006257216 9757625982 12009385824 13010167976 19515251964 24018771648 26020335952 39030503928 52040671904 78061007856 104081343808 156122015712 312244031424