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44400446442 = 23211376060667
BaseRepresentation
bin101001010110011110…
…010000101111101010
311020121100021101012100
4221112132100233222
51211413003241232
632221451354230
73131166365502
oct512636205752
9136540241170
1044400446442
1117914992640
128731752976
134257940821
142212ba0a02
15124ceacc7c
hexa56790bea

44400446442 has 48 divisors (see below), whose sum is σ = 107782919712. Its totient is φ = 13091038560.

The previous prime is 44400446437. The next prime is 44400446449. The reversal of 44400446442 is 24464400444.

44400446442 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 0 + 4 + 4 + 644 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 44400446397 and 44400446406.

It is not an unprimeable number, because it can be changed into a prime (44400446449) 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 23 ways as a sum of consecutive naturals, for example, 3023008 + ... + 3037659.

It is an arithmetic number, because the mean of its divisors is an integer number (2245477494).

Almost surely, 244400446442 is an apocalyptic number.

44400446442 is an abundant number, since it is smaller than the sum of its proper divisors (63382473270).

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

44400446442 is a wasteful number, since it uses less digits than its factorization.

44400446442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060723 (or 6060720 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 44400446442 its reverse (24464400444), we get a palindrome (68864846886).

The spelling of 44400446442 in words is "forty-four billion, four hundred million, four hundred forty-six thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 6060667 12121334 18182001 36364002 54546003 66667337 109092006 133334674 200002011 224244679 400004022 448489358 600006033 672734037 1200012066 1345468074 2018202111 2466691469 4036404222 4933382938 7400074407 14800148814 22200223221 44400446442