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444133444331444 = 22784631187424333
BaseRepresentation
bin110010011111011111110000…
…0001011101010011110110100
32011020112202001100221020111112
41210332333200023222132310
5431203140243222101234
64212332030532254152
7162356403532062260
oct14476774013523664
92136482040836445
10444133444331444
11119572a3287667a
1241990053a71358
13160a87b12607ba
147b9625db590a0
153652de422bace
hex193efe02ea7b4

444133444331444 has 24 divisors (see below), whose sum is σ = 888277389164928. Its totient is φ = 190340654605920.

The previous prime is 444133444331431. The next prime is 444133444331497.

444133444331444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4441334443314442 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444133444331392 and 444133444331401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91342499 + ... + 96081834.

It is an arithmetic number, because the mean of its divisors is an integer number (37011557881872).

Almost surely, 2444133444331444 is an apocalyptic number.

It is an amenable number.

444133444331444 is an abundant number, since it is smaller than the sum of its proper divisors (444143944833484).

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

444133444331444 is a wasteful number, since it uses less digits than its factorization.

444133444331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187508975 (or 187508973 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 50.

The spelling of 444133444331444 in words is "four hundred forty-four trillion, one hundred thirty-three billion, four hundred forty-four million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 84631 169262 338524 592417 1184834 2369668 187424333 374848666 749697332 1311970331 2623940662 5247881324 15861908726123 31723817452246 63447634904492 111033361082861 222066722165722 444133444331444