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2315421353440 = 2551319571102607
BaseRepresentation
bin100001101100011001110…
…111100000010111100000
322012100111200202210122201
4201230121313200113200
5300413440331302230
64531405003142544
7326166204525466
oct41543167402740
98170450683581
102315421353440
11812a67a9a188
123148b1b14a54
1313a4602b8a90
14800d1b78836
15403694815ca
hex21b19de05e0

2315421353440 has 192 divisors, whose sum is σ = 6211937571840. Its totient is φ = 808502446080.

The previous prime is 2315421353437. The next prime is 2315421353447. The reversal of 2315421353440 is 443531245132.

It is a super-2 number, since 2×23154213534402 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2315421353440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315421353447) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 22514617 + ... + 22617223.

It is an arithmetic number, because the mean of its divisors is an integer number (32353841520).

Almost surely, 22315421353440 is an apocalyptic number.

2315421353440 is a gapful number since it is divisible by the number (20) 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 2315421353440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3105968785920).

2315421353440 is an abundant number, since it is smaller than the sum of its proper divisors (3896516218400).

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

2315421353440 is a wasteful number, since it uses less digits than its factorization.

2315421353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103225 (or 103217 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 2315421353440 its reverse (443531245132), we get a palindrome (2758952598572).

The spelling of 2315421353440 in words is "two trillion, three hundred fifteen billion, four hundred twenty-one million, three hundred fifty-three thousand, four hundred forty".