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4444413121113 = 377127793107251
BaseRepresentation
bin100000010101100101110…
…1010100101001001011001
3120201212210210101101111120
41000223023222211021121
51040304124224333423
613241422445315453
7636045462132210
oct100531352451131
916655723341446
104444413121113
111463957383239
125b9434b65b89
1326314c8946a4
14115179c42077
157a921a16ee3
hex40acbaa5259

4444413121113 has 32 divisors (see below), whose sum is σ = 6868136650752. Its totient is φ = 2503781280000.

The previous prime is 4444413121097. The next prime is 4444413121117. The reversal of 4444413121113 is 3111213144444.

It is not a de Polignac number, because 4444413121113 - 24 = 4444413121097 is a prime.

It is a super-2 number, since 2×44444131211132 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4444413121117) 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, 41385738 + ... + 41492988.

It is an arithmetic number, because the mean of its divisors is an integer number (214629270336).

Almost surely, 24444413121113 is an apocalyptic number.

It is an amenable number.

4444413121113 is a deficient number, since it is larger than the sum of its proper divisors (2423723529639).

4444413121113 is a wasteful number, since it uses less digits than its factorization.

4444413121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135125.

The product of its digits is 18432, while the sum is 33.

Adding to 4444413121113 its reverse (3111213144444), we get a palindrome (7555626265557).

The spelling of 4444413121113 in words is "four trillion, four hundred forty-four billion, four hundred thirteen million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 7 21 71 213 497 1491 27793 83379 107251 194551 321753 583653 750757 1973303 2252271 5919909 7614821 13813121 22844463 41439363 53303747 159911241 2980827043 8942481129 20865789301 62597367903 211638720053 634916160159 1481471040371 4444413121113