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44000440440 = 23351133333667
BaseRepresentation
bin101000111110101000…
…010111000001111000
311012120110120222010020
4220332220113001320
51210103103043230
632114042050440
73115241400315
oct507650270170
9135513528106
1044000440440
111772a113170
12863b7a9a20
1341c2ac9598
1421b59d7d0c
151227ce7810
hexa3ea17078

44000440440 has 64 divisors (see below), whose sum is σ = 144001445760. Its totient is φ = 10666773120.

The previous prime is 44000440439. The next prime is 44000440453. The reversal of 44000440440 is 4404400044.

It is a Harshad number since it is a multiple of its sum of digits (24).

44000440440 is a modest number, since divided by 440440 gives 44000 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 44000440440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16665514 + ... + 16668153.

It is an arithmetic number, because the mean of its divisors is an integer number (2250022590).

Almost surely, 244000440440 is an apocalyptic number.

44000440440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44000440440 is an abundant number, since it is smaller than the sum of its proper divisors (100001005320).

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

44000440440 is a wasteful number, since it uses less digits than its factorization.

44000440440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33333692 (or 33333688 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44000440440 its reverse (4404400044), we get a palindrome (48404840484).

The spelling of 44000440440 in words is "forty-four billion, four hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 33333667 66667334 100001001 133334668 166668335 200002002 266669336 333336670 366670337 400004004 500005005 666673340 733340674 800008008 1000010010 1100011011 1333346680 1466681348 1833351685 2000020020 2200022022 2933362696 3666703370 4000040040 4400044044 5500055055 7333406740 8800088088 11000110110 14666813480 22000220220 44000440440