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312234411412 = 227113759464383
BaseRepresentation
bin1001000101100101001…
…11110000010110010100
31002211221011010112002201
410202302213300112110
520103424002131122
6355234415014244
731362313464310
oct4426247602624
91084834115081
10312234411412
11110466204710
125061a80a384
132359c7085c1
141117dd3cb40
1581c67d4a27
hex48b29f0594

312234411412 has 96 divisors (see below), whose sum is σ = 711510589440. Its totient is φ = 116355553920.

The previous prime is 312234411373. The next prime is 312234411431. The reversal of 312234411412 is 214114432213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 440173 + ... + 904555.

It is an arithmetic number, because the mean of its divisors is an integer number (7411568640).

Almost surely, 2312234411412 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 312234411412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355755294720).

312234411412 is an abundant number, since it is smaller than the sum of its proper divisors (399276178028).

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

312234411412 is a wasteful number, since it uses less digits than its factorization.

312234411412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464501 (or 464499 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

Adding to 312234411412 its reverse (214114432213), we get a palindrome (526348843625).

It can be divided in two parts, 3122344 and 11412, that added together give a triangular number (3133756 = T2503).

The spelling of 312234411412 in words is "three hundred twelve billion, two hundred thirty-four million, four hundred eleven thousand, four hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 37 44 59 74 77 118 148 154 236 259 308 407 413 518 649 814 826 1036 1298 1628 1652 2183 2596 2849 4366 4543 5698 8732 9086 11396 15281 18172 24013 30562 48026 61124 96052 168091 336182 464383 672364 928766 1857532 3250681 5108213 6501362 10216426 13002724 17182171 20432852 27398597 34364342 35757491 54797194 68728684 71514982 109594388 120275197 143029964 189003881 191790179 240550394 301384567 378007762 383580358 481100788 602769134 756015524 767160716 1013748089 1205538268 1323027167 2027496178 2109691969 2646054334 4054992356 4219383938 5292108668 7096236623 8438767876 11151228979 14192473246 22302457958 28384946492 44604915916 78058602853 156117205706 312234411412