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44040440192 = 27781160607
BaseRepresentation
bin101001000001000000…
…111100100110000000
311012200020212011110112
4221001000330212000
51210143323041232
632122031250452
73116235364550
oct510100744600
9135606764415
1044040440192
111774a753611
128651079a28
1341cb192c88
1421bb04b160
15122b5994b2
hexa4103c980

44040440192 has 64 divisors (see below), whose sum is σ = 100395939840. Its totient is φ = 18850890240.

The previous prime is 44040440189. The next prime is 44040440203. The reversal of 44040440192 is 29104404044.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696353 + ... + 756959.

It is an arithmetic number, because the mean of its divisors is an integer number (1568686560).

Almost surely, 244040440192 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 44040440192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50197969920).

44040440192 is an abundant number, since it is smaller than the sum of its proper divisors (56355499648).

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

44040440192 is an equidigital number, since it uses as much as digits as its factorization.

44040440192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61439 (or 61427 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 44040440192 in words is "forty-four billion, forty million, four hundred forty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 811 896 1622 3244 5677 6488 11354 12976 22708 25952 45416 51904 60607 90832 103808 121214 181664 242428 363328 424249 484856 726656 848498 969712 1696996 1939424 3393992 3878848 6787984 7757696 13575968 27151936 49152277 54303872 98304554 196609108 344065939 393218216 688131878 786436432 1376263756 1572872864 2752527512 3145745728 5505055024 6291491456 11010110048 22020220096 44040440192