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4244002225321 = 3111313734925339
BaseRepresentation
bin111101110000100010001…
…111101011110010101001
3120000201111210221000221111
4331300202033223302221
51024013204032202241
613005400120310321
7615422221463245
oct75604217536251
916021453830844
104244002225321
111396964684a41
125866239123a1
1324a2913ba711
141095a7361425
15755e247ac81
hex3dc223ebca9

4244002225321 has 32 divisors (see below), whose sum is σ = 4464867456000. Its totient is φ = 4029301463040.

The previous prime is 4244002225271. The next prime is 4244002225327. The reversal of 4244002225321 is 1235222004424.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4244002225321 - 29 = 4244002224809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4244002225327) 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 31 ways as a sum of consecutive naturals, for example, 167476270 + ... + 167501608.

It is an arithmetic number, because the mean of its divisors is an integer number (139527108000).

Almost surely, 24244002225321 is an apocalyptic number.

It is an amenable number.

4244002225321 is a deficient number, since it is larger than the sum of its proper divisors (220865230679).

4244002225321 is a wasteful number, since it uses less digits than its factorization.

4244002225321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25969.

The product of its (nonzero) digits is 30720, while the sum is 31.

Adding to 4244002225321 its reverse (1235222004424), we get a palindrome (5479224229745).

The spelling of 4244002225321 in words is "four trillion, two hundred forty-four billion, two million, two hundred twenty-five thousand, three hundred twenty-one".

Divisors: 1 31 113 137 349 3503 4247 10819 15481 25339 39437 47813 479911 785509 1222547 1482203 2863307 3471443 5402869 8843311 88762517 107614733 167488939 274142641 392273059 999294143 1211533607 12160464829 30978118433 37557541817 136903297591 4244002225321