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444044012342424 = 2331322942291469597
BaseRepresentation
bin110010011110110110000110…
…1100111101100110010011000
32011020020012012200212110221220
41210331230031213230302120
5431200204114124424144
64212223000402332040
7162350056400523354
oct14475541547546230
92136205180773856
10444044012342424
1111953900a84464a
124197685535a020
13160a022b0169c0
147b91bb8478464
15365090cb9e919
hex193db0d9ecc98

444044012342424 has 128 divisors (see below), whose sum is σ = 1201008391128000. Its totient is φ = 136000034924544.

The previous prime is 444044012342407. The next prime is 444044012342429. The reversal of 444044012342424 is 424243210440444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444044012342429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 301418794 + ... + 302888390.

Almost surely, 2444044012342424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444044012342424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600504195564000).

444044012342424 is an abundant number, since it is smaller than the sum of its proper divisors (756964378785576).

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

444044012342424 is a wasteful number, since it uses less digits than its factorization.

444044012342424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1474077 (or 1474073 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 42.

Adding to 444044012342424 its reverse (424243210440444), we get a palindrome (868287222782868).

The spelling of 444044012342424 in words is "four hundred forty-four trillion, forty-four billion, twelve million, three hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 229 312 458 687 916 1374 1832 2748 2977 4229 5496 5954 8458 8931 11908 12687 16916 17862 23816 25374 33832 35724 50748 54977 71448 101496 109954 164931 219908 329862 439816 659724 968441 1319448 1469597 1936882 2905323 2939194 3873764 4408791 5810646 5878388 7747528 8817582 11621292 11756776 12589733 17635164 19104761 23242584 25179466 35270328 37769199 38209522 50358932 57314283 75538398 76419044 100717864 114628566 151076796 152838088 229257132 302153592 336537713 458514264 673075426 1009613139 1346150852 2019226278 2692301704 4038452556 4374990269 6214925713 8076905112 8749980538 12429851426 13124970807 17499961076 18644777139 24859702852 26249941614 34999922152 37289554278 49719405704 52499883228 74579108556 80794034269 104999766456 149158217112 161588068538 242382102807 323176137076 484764205614 646352274152 969528411228 1423217988277 1939056822456 2846435976554 4269653964831 5692871953108 8539307929662 11385743906216 17078615859324 18501833847601 34157231718648 37003667695202 55505501542803 74007335390404 111011003085606 148014670780808 222022006171212 444044012342424