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2314234002344 = 23111012591100493
BaseRepresentation
bin100001101011010011000…
…110000111101110101000
322012020102221120010011012
4201223103012013232220
5300404022401033334
64531051110123052
7326124606311465
oct41532306075650
98166387503135
102314234002344
11812508842790
12314620350488
1313a301302a74
148001c1bc66c
15402ea0e39ce
hex21ad3187ba8

2314234002344 has 64 divisors (see below), whose sum is σ = 4782421025280. Its totient is φ = 1041097120000.

The previous prime is 2314234002331. The next prime is 2314234002349. The reversal of 2314234002344 is 4432004324132.

It is a self number, because there is not a number n which added to its sum of digits gives 2314234002344.

It is not an unprimeable number, because it can be changed into a prime (2314234002349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22978562 + ... + 23079054.

It is an arithmetic number, because the mean of its divisors is an integer number (74725328520).

Almost surely, 22314234002344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2314234002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391210512640).

2314234002344 is an abundant number, since it is smaller than the sum of its proper divisors (2468187022936).

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

2314234002344 is a wasteful number, since it uses less digits than its factorization.

2314234002344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103202 (or 103198 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 2314234002344 its reverse (4432004324132), we get a palindrome (6746238326476).

The spelling of 2314234002344 in words is "two trillion, three hundred fourteen billion, two hundred thirty-four million, two thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 101 202 404 808 1111 2222 2591 4444 5182 8888 10364 20728 28501 57002 100493 114004 200986 228008 261691 401972 523382 803944 1046764 1105423 2093528 2210846 2878601 4421692 5757202 8843384 10149793 11514404 20299586 23028808 40599172 81198344 111647723 223295446 260377363 446590892 520754726 893181784 1041509452 2083018904 2864150993 5728301986 11456603972 22913207944 26298113663 52596227326 105192454652 210384909304 289279250293 578558500586 1157117001172 2314234002344