Search a number
-
+
4314424200224 = 25134825756257
BaseRepresentation
bin111110110010000111101…
…110001100110000100000
3120021110021122022000120012
4332302013232030300200
51031141420043401344
613102004043504052
7623464311420365
oct76620756146040
916243248260505
104314424200224
111413811a90aa6
125981b7b28028
13253b0509b958
1410cb6801c46c
1577364b4129e
hex3ec87b8cc20

4314424200224 has 12 divisors (see below), whose sum is σ = 8494022644254. Its totient is φ = 2157212100096.

The previous prime is 4314424200221. The next prime is 4314424200227. The reversal of 4314424200224 is 4220024244134.

It is an interprime number because it is at equal distance from previous prime (4314424200221) and next prime (4314424200227).

It can be written as a sum of positive squares in only one way, i.e., 4217815127824 + 96609072400 = 2053732^2 + 310820^2 .

It is a super-2 number, since 2×43144242002242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32), and also a Moran number because the ratio is a prime number: 134825756257 = 4314424200224 / (4 + 3 + 1 + 4 + 4 + 2 + 4 + 2 + 0 + 0 + 2 + 2 + 4).

It is not an unprimeable number, because it can be changed into a prime (4314424200221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67412878097 + ... + 67412878160.

Almost surely, 24314424200224 is an apocalyptic number.

It is an amenable number.

4314424200224 is a deficient number, since it is larger than the sum of its proper divisors (4179598444030).

4314424200224 is a wasteful number, since it uses less digits than its factorization.

4314424200224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134825756267 (or 134825756259 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4314424200224 its reverse (4220024244134), we get a palindrome (8534448444358).

The spelling of 4314424200224 in words is "four trillion, three hundred fourteen billion, four hundred twenty-four million, two hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 134825756257 269651512514 539303025028 1078606050056 2157212100112 4314424200224