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44442224376 = 233111523110533
BaseRepresentation
bin101001011000111101…
…101000011011111000
311020201020212220202020
4221120331220123320
51212004202140001
632225543034440
73132214450164
oct513075503370
9136636786666
1044442224376
1117936527a60
12874373ba20
1342634aa6b4
142218557ca4
1512519b1736
hexa58f686f8

44442224376 has 64 divisors (see below), whose sum is σ = 121286747520. Its totient is φ = 13458376320.

The previous prime is 44442224369. The next prime is 44442224377. The reversal of 44442224376 is 67342224444.

It is a super-3 number, since 3×444422243763 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44442224377) 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 15 ways as a sum of consecutive naturals, for example, 346806 + ... + 457338.

It is an arithmetic number, because the mean of its divisors is an integer number (1895105430).

Almost surely, 244442224376 is an apocalyptic number.

It is an amenable number.

44442224376 is an abundant number, since it is smaller than the sum of its proper divisors (76844523144).

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

44442224376 is a wasteful number, since it uses less digits than its factorization.

44442224376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112076 (or 112072 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 42.

The spelling of 44442224376 in words is "forty-four billion, four hundred forty-two million, two hundred twenty-four thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 1523 3046 4569 6092 9138 12184 16753 18276 33506 36552 50259 67012 100518 110533 134024 201036 221066 331599 402072 442132 663198 884264 1215863 1326396 2431726 2652792 3647589 4863452 7295178 9726904 14590356 29180712 168341759 336683518 505025277 673367036 1010050554 1346734072 1851759349 2020101108 3703518698 4040202216 5555278047 7407037396 11110556094 14814074792 22221112188 44442224376