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2314031414144 = 27173104499251
BaseRepresentation
bin100001101011000111000…
…001010011101110000000
322012012220211100120101112
4201223013001103232000
5300403114020223034
64531015032022452
7326116566324362
oct41530701235600
98165824316345
102314031414144
1181241445221a
12314584531a28
1313a29b3506a8
147dddd324d32
15402d74277ce
hex21ac7053b80

2314031414144 has 32 divisors (see below), whose sum is σ = 4636631811240. Its totient is φ = 1150327744000.

The previous prime is 2314031414137. The next prime is 2314031414153. The reversal of 2314031414144 is 4414141304132.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2314031414144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52227482 + ... + 52271769.

Almost surely, 22314031414144 is an apocalyptic number.

It is an amenable number.

2314031414144 is an abundant number, since it is smaller than the sum of its proper divisors (2322600397096).

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

2314031414144 is a wasteful number, since it uses less digits than its factorization.

2314031414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104499438 (or 104499426 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 2314031414144 its reverse (4414141304132), we get a palindrome (6728172718276).

The spelling of 2314031414144 in words is "two trillion, three hundred fourteen billion, thirty-one million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 11072 22144 104499251 208998502 417997004 835994008 1671988016 3343976032 6687952064 13375904128 18078370423 36156740846 72313481692 144626963384 289253926768 578507853536 1157015707072 2314031414144