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44424555542444 = 22711592444670677
BaseRepresentation
bin10100001100111011001011…
…10110100011011110101100
312211021221112122202212220102
422012131211312203132230
521310322442204324234
6234252205321010232
712233365620445460
oct1206354566433654
9184257478685812
1044424555542444
1113178391504570
124b95939923978
131ba32aa12b9ac
14ad8234d0a4a0
155208b824bc7e
hex286765da37ac

44424555542444 has 48 divisors (see below), whose sum is σ = 98569121736960. Its totient is φ = 17014907904960.

The previous prime is 44424555542443. The next prime is 44424555542461.

It is a happy number.

44424555542444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444245555424442 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 44424555542444.

It is not an unprimeable number, because it can be changed into a prime (44424555542443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222317167 + ... + 1222353510.

It is an arithmetic number, because the mean of its divisors is an integer number (2053523369520).

Almost surely, 244424555542444 is an apocalyptic number.

44424555542444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

44424555542444 is an abundant number, since it is smaller than the sum of its proper divisors (54144566194516).

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

44424555542444 is a wasteful number, since it uses less digits than its factorization.

44424555542444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444670758 (or 2444670756 counting only the distinct ones).

The product of its digits is 163840000, while the sum is 56.

It can be divided in two parts, 4442455 and 5542444, that added together give a palindrome (9984899).

The spelling of 44424555542444 in words is "forty-four trillion, four hundred twenty-four billion, five hundred fifty-five million, five hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 59 77 118 154 236 308 413 649 826 1298 1652 2596 4543 9086 18172 2444670677 4889341354 9778682708 17112694739 26891377447 34225389478 53782754894 68450778956 107565509788 144235569943 188239642129 288471139886 376479284258 576942279772 752958568516 1009648989601 1586591269373 2019297979202 3173182538746 4038595958404 6346365077492 11106138885611 22212277771222 44424555542444