Search a number
-
+
2314306280748 = 22371127925111483
BaseRepresentation
bin100001101011010111011…
…001110101110100101100
322012020121222120020111010
4201223113121311310230
5300404144401440443
64531102211225220
7326126444544630
oct41532731656454
98166558506433
102314306280748
1181254561a600
123146405a8210
1313a31328b657
1480027a34dc0
154030161e733
hex21ad7675d2c

2314306280748 has 288 divisors, whose sum is σ = 6897367572480. Its totient is φ = 591093360000.

The previous prime is 2314306280743. The next prime is 2314306280749. The reversal of 2314306280748 is 8470826034132.

It is a super-2 number, since 2×23143062807482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2314306280697 and 2314306280706.

It is not an unprimeable number, because it can be changed into a prime (2314306280743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201536215 + ... + 201547697.

It is an arithmetic number, because the mean of its divisors is an integer number (23949192960).

Almost surely, 22314306280748 is an apocalyptic number.

2314306280748 is a gapful number since it is divisible by the number (28) 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 2314306280748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3448683786240).

2314306280748 is an abundant number, since it is smaller than the sum of its proper divisors (4583061291732).

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

2314306280748 is a wasteful number, since it uses less digits than its factorization.

2314306280748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11849 (or 11836 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 2314306280748 in words is "two trillion, three hundred fourteen billion, three hundred six million, two hundred eighty thousand, seven hundred forty-eight".