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4021444330229 = 1761109157226609
BaseRepresentation
bin111010100001010000110…
…000101100001011110101
3112020110001100222112210002
4322201100300230023311
51011341404222031404
612315232004241045
7563353065544244
oct72412060541365
915213040875702
104021444330229
111310537538337
1254b4716a0185
132322b37a3631
14dc8d339695b
156e918925c1e
hex3a850c2c2f5

4021444330229 has 32 divisors (see below), whose sum is σ = 4395345688800. Its totient is φ = 3665175920640.

The previous prime is 4021444330223. The next prime is 4021444330261. The reversal of 4021444330229 is 9220334441204.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2544988471204 + 1476455859025 = 1595302^2 + 1215095^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4021444330229 is a prime.

It is a super-2 number, since 2×40214443302292 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4021444330192 and 4021444330201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4021444330223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17632877 + ... + 17859485.

It is an arithmetic number, because the mean of its divisors is an integer number (137354552775).

Almost surely, 24021444330229 is an apocalyptic number.

It is an amenable number.

4021444330229 is a deficient number, since it is larger than the sum of its proper divisors (373901358571).

4021444330229 is a wasteful number, since it uses less digits than its factorization.

4021444330229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226953.

The product of its (nonzero) digits is 165888, while the sum is 38.

The spelling of 4021444330229 in words is "four trillion, twenty-one billion, four hundred forty-four million, three hundred thirty thousand, two hundred twenty-nine".

Divisors: 1 17 61 109 157 1037 1853 2669 6649 9577 17113 113033 162809 226609 290921 1043893 3852353 13823149 17746181 24700381 35577613 234993533 419906477 604819421 1506723241 2170234393 3877959817 25614295097 36893984681 65925316889 236555548837 4021444330229