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44445211254444 = 2237111315532382529
BaseRepresentation
bin10100001101100001101010…
…00001110101111010101100
312211100220212012010202220210
422012300311001311322230
521311142243040120234
6234305503112342420
712235026524216250
oct1206606501657254
9184326765122823
1044445211254444
1113186121083730
124b999433a4a10
131ba521c60a4a0
14ad923431c260
155211c683cbe9
hex286c35075eac

44445211254444 has 192 divisors, whose sum is σ = 139330659363840. Its totient is φ = 10649328353280.

The previous prime is 44445211254443. The next prime is 44445211254491.

It is a happy number.

44445211254444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44445211254393 and 44445211254402.

It is not an unprimeable number, because it can be changed into a prime (44445211254443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17463372 + ... + 19845900.

It is an arithmetic number, because the mean of its divisors is an integer number (725680517520).

Almost surely, 244445211254444 is an apocalyptic number.

44445211254444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44445211254444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69665329681920).

44445211254444 is an abundant number, since it is smaller than the sum of its proper divisors (94885448109396).

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

44445211254444 is a wasteful number, since it uses less digits than its factorization.

44445211254444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384120 (or 2384118 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 48.

It can be divided in two parts, 4444521 and 1254444, that added together give a palindrome (5698965).

The spelling of 44445211254444 in words is "forty-four trillion, four hundred forty-five billion, two hundred eleven million, two hundred fifty-four thousand, four hundred forty-four".