Search a number
-
+
2314112424416 = 251342113213231
BaseRepresentation
bin100001101011001011110…
…110010101100111100000
322012020010110210022120222
4201223023312111213200
5300403300240040131
64531031044222212
7326121602026052
oct41531366254740
98166113708528
102314112424416
11812456153461
123145a769a968
1313a2b2075870
1480009db18d2
15402de5ca87b
hex21acbd959e0

2314112424416 has 48 divisors (see below), whose sum is σ = 4918017803328. Its totient is φ = 1065514867200.

The previous prime is 2314112424413. The next prime is 2314112424427. The reversal of 2314112424416 is 6144242114132.

2314112424416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314112424413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6431480 + ... + 6781751.

It is an arithmetic number, because the mean of its divisors is an integer number (102458704236).

Almost surely, 22314112424416 is an apocalyptic number.

2314112424416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2314112424416 is an abundant number, since it is smaller than the sum of its proper divisors (2603905378912).

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

2314112424416 is a wasteful number, since it uses less digits than its factorization.

2314112424416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213675 (or 13213667 counting only the distinct ones).

The product of its digits is 36864, while the sum is 35.

Adding to 2314112424416 its reverse (6144242114132), we get a palindrome (8458354538548).

The spelling of 2314112424416 in words is "two trillion, three hundred fourteen billion, one hundred twelve million, four hundred twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 421 842 1684 3368 5473 6736 10946 13472 21892 43784 87568 175136 13213231 26426462 52852924 105705848 171772003 211411696 343544006 422823392 687088012 1374176024 2748352048 5496704096 5562770251 11125540502 22251081004 44502162008 72316013263 89004324016 144632026526 178008648032 289264053052 578528106104 1157056212208 2314112424416