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2312000891424 = 253272373683041
BaseRepresentation
bin100001101001001101111…
…111011110101000100000
322012000200022120022212100
4201221031333132220200
5300334434212011144
64530041334530400
7326015352216150
oct41511577365040
98160608508770
102312000891424
11811572258474
123140b8506a00
1313a03677a463
147dc897a2760
1540219036269
hex21a4dfdea20

2312000891424 has 288 divisors, whose sum is σ = 7948117142784. Its totient is φ = 623194767360.

The previous prime is 2312000891411. The next prime is 2312000891449. The reversal of 2312000891424 is 4241980002132.

2312000891424 is a `hidden beast` number, since 23 + 1 + 200 + 0 + 8 + 9 + 1 + 424 = 666.

2312000891424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3043344 + ... + 3726384.

It is an arithmetic number, because the mean of its divisors is an integer number (27597628968).

Almost surely, 22312000891424 is an apocalyptic number.

2312000891424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2312000891424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3974058571392).

2312000891424 is an abundant number, since it is smaller than the sum of its proper divisors (5636116251360).

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

2312000891424 is a wasteful number, since it uses less digits than its factorization.

2312000891424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683160 (or 683149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 2312000891424 its reverse (4241980002132), we get a palindrome (6553980893556).

The spelling of 2312000891424 in words is "two trillion, three hundred twelve billion, eight hundred ninety-one thousand, four hundred twenty-four".