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2315402221344 = 25389270997451
BaseRepresentation
bin100001101100011000101…
…110100001011100100000
322012100110100202210100120
4201230120232201130200
5300413420432040334
64531403041120240
7326165553103002
oct41543056413440
98170410683316
102315402221344
11812a58211a33
123148a7629080
1313a45934a704
14800cd3d8372
1540367952949
hex21b18ba1720

2315402221344 has 48 divisors (see below), whose sum is σ = 6146222211360. Its totient is φ = 763128819200.

The previous prime is 2315402221343. The next prime is 2315402221381. The reversal of 2315402221344 is 4431222045132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×23154022213442 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2315402221343) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 135490182 + ... + 135507269.

It is an arithmetic number, because the mean of its divisors is an integer number (128046296070).

Almost surely, 22315402221344 is an apocalyptic number.

2315402221344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2315402221344 is an abundant number, since it is smaller than the sum of its proper divisors (3830819990016).

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

2315402221344 is a wasteful number, since it uses less digits than its factorization.

2315402221344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270997553 (or 270997545 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 2315402221344 its reverse (4431222045132), we get a palindrome (6746624266476).

The spelling of 2315402221344 in words is "two trillion, three hundred fifteen billion, four hundred two million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 270997451 541994902 812992353 1083989804 1625984706 2167979608 3251969412 4335959216 6503938824 8671918432 13007877648 24118773139 26015755296 48237546278 72356319417 96475092556 144712638834 192950185112 289425277668 385900370224 578850555336 771800740448 1157701110672 2315402221344