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2315223613344 = 25325793840127
BaseRepresentation
bin100001101100001110000…
…101001011111110100000
322012022222220200120020110
4201230032011023332200
5300413034221111334
64531333221011320
7326161254002655
oct41541605137640
98168886616213
102315223613344
11812976410114
12314857853b40
1313a42b3432c5
14800b37c3c2c
1540356e21ae9
hex21b0e14bfa0

2315223613344 has 48 divisors (see below), whose sum is σ = 6101109762048. Its totient is φ = 768738312192.

The previous prime is 2315223613333. The next prime is 2315223613357. The reversal of 2315223613344 is 4433163225132.

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

It is a super-2 number, since 2×23152236133442 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 46895392 + ... + 46944735.

It is an arithmetic number, because the mean of its divisors is an integer number (127106453376).

Almost surely, 22315223613344 is an apocalyptic number.

2315223613344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2315223613344 is an abundant number, since it is smaller than the sum of its proper divisors (3785886148704).

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

2315223613344 is a wasteful number, since it uses less digits than its factorization.

2315223613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93840397 (or 93840389 counting only the distinct ones).

The product of its digits is 311040, while the sum is 39.

Adding to 2315223613344 its reverse (4433163225132), we get a palindrome (6748386838476).

The spelling of 2315223613344 in words is "two trillion, three hundred fifteen billion, two hundred twenty-three million, six hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 514 771 1028 1542 2056 3084 4112 6168 8224 12336 24672 93840127 187680254 281520381 375360508 563040762 750721016 1126081524 1501442032 2252163048 3002884064 4504326096 9008652192 24116912639 48233825278 72350737917 96467650556 144701475834 192935301112 289402951668 385870602224 578805903336 771741204448 1157611806672 2315223613344