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2343314000000 = 275617413
BaseRepresentation
bin100010000110011000011…
…001100000100010000000
322022000111120201001120102
4202012120121200202000
5301343101341000000
64552300435301532
7331204335232661
oct42063031404200
98260446631512
102343314000000
118238807323a6
1231a19714a8a8
1313cc86bb9c7c
14815ba381368
1540e4d08e3d5
hex22198660880

2343314000000 has 448 divisors, whose sum is σ = 6333043154760. Its totient is φ = 860672000000.

The previous prime is 2343313999981. The next prime is 2343314000011. The reversal of 2343314000000 is 4133432.

It can be written as a sum of positive squares in 28 ways, for example, as 437301818944 + 1906012181056 = 661288^2 + 1380584^2 .

It is a super-2 number, since 2×23433140000002 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 57153999980 + ... + 57154000020.

Almost surely, 22343314000000 is an apocalyptic number.

2343314000000 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 2343314000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166521577380).

2343314000000 is an abundant number, since it is smaller than the sum of its proper divisors (3989729154760).

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

2343314000000 is an frugal number, since it uses more digits than its factorization.

2343314000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2343314000000 its reverse (4133432), we get a palindrome (2343318133432).

The spelling of 2343314000000 in words is "two trillion, three hundred forty-three billion, three hundred fourteen million", and thus it is an aban number.