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4224143302344 = 2332789211446309
BaseRepresentation
bin111101011110000010100…
…011111001111011001000
3112221211020210212012222200
4331132002203321323020
51023202021141133334
612552313350520200
7614120131433520
oct75360243717310
915854223765880
104224143302344
1113894a38531a9
12582801066060
13248448009414
14108641ac0680
1574d2dcca799
hex3d7828f9ec8

4224143302344 has 192 divisors, whose sum is σ = 13284327888000. Its totient is φ = 1187679144960.

The previous prime is 4224143302333. The next prime is 4224143302349. The reversal of 4224143302344 is 4432033414224.

4224143302344 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 1 + 4 + 3 + 302 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4224143302299 and 4224143302308.

It is not an unprimeable number, because it can be changed into a prime (4224143302349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9241462 + ... + 9687770.

It is an arithmetic number, because the mean of its divisors is an integer number (69189207750).

Almost surely, 24224143302344 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 4224143302344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6642163944000).

4224143302344 is an abundant number, since it is smaller than the sum of its proper divisors (9060184585656).

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

4224143302344 is a wasteful number, since it uses less digits than its factorization.

4224143302344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446628 (or 446621 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 4224143302344 its reverse (4432033414224), we get a palindrome (8656176716568).

The spelling of 4224143302344 in words is "four trillion, two hundred twenty-four billion, one hundred forty-three million, three hundred two thousand, three hundred forty-four".