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4442214122444 = 2271013135018521
BaseRepresentation
bin100000010100100100010…
…0110000100001111001100
3120201200010112120200102102
41000221020212010033030
51040240123303404234
613240420333214232
7635640131013320
oct100511046041714
916650115520372
104442214122444
111462a29077a6a
125b8b20631378
13262b8c123a47
1411500bb85980
157a843946c7e
hex40a489843cc

4442214122444 has 48 divisors (see below), whose sum is σ = 9001060466496. Its totient is φ = 1878933888000.

The previous prime is 4442214122431. The next prime is 4442214122471.

It is a happy number.

4442214122444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4442214122398 and 4442214122407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1624097 + ... + 3394424.

It is an arithmetic number, because the mean of its divisors is an integer number (187522093052).

Almost surely, 24442214122444 is an apocalyptic number.

It is an amenable number.

4442214122444 is an abundant number, since it is smaller than the sum of its proper divisors (4558846344052).

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

4442214122444 is a wasteful number, since it uses less digits than its factorization.

4442214122444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018946 (or 5018944 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

The spelling of 4442214122444 in words is "four trillion, four hundred forty-two billion, two hundred fourteen million, one hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 101 202 313 404 626 707 1252 1414 2191 2828 4382 8764 31613 63226 126452 221291 442582 885164 5018521 10037042 20074084 35129647 70259294 140518588 506870621 1013741242 1570797073 2027482484 3141594146 3548094347 6283188292 7096188694 10995579511 14192377388 21991159022 43982318044 158650504373 317301008746 634602017492 1110553530611 2221107061222 4442214122444