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1441244112224 = 257231591917573
BaseRepresentation
bin10100111110010000110…
…101111110010101100000
312002210002210001210002212
4110332100311332111200
5142103131443042344
63022033131101252
7206061241552130
oct24762065762540
95083083053085
101441244112224
11506256801254
121b33a58a1828
13a5ba76570c7
144da8410aac0
1527753e9779e
hex14f90d7e560

1441244112224 has 96 divisors (see below), whose sum is σ = 3384195655680. Its totient is φ = 590749834752.

The previous prime is 1441244112223. The next prime is 1441244112241. The reversal of 1441244112224 is 4222114421441.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441244112223) 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, 82005902 + ... + 82023474.

It is an arithmetic number, because the mean of its divisors is an integer number (35252038080).

Almost surely, 21441244112224 is an apocalyptic number.

1441244112224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1441244112224 is an abundant number, since it is smaller than the sum of its proper divisors (1942951543456).

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

1441244112224 is a wasteful number, since it uses less digits than its factorization.

1441244112224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33532 (or 33524 counting only the distinct ones).

The product of its digits is 16384, while the sum is 32.

Adding to 1441244112224 its reverse (4222114421441), we get a palindrome (5663358533665).

The spelling of 1441244112224 in words is "one trillion, four hundred forty-one billion, two hundred forty-four million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 15919 17573 31838 35146 63676 70292 111433 123011 127352 140584 222866 246022 254704 281168 366137 404179 445732 492044 509408 562336 732274 808358 891464 984088 1464548 1616716 1782928 1968176 2562959 2829253 2929096 3233432 3565856 3936352 5125918 5658506 5858192 6466864 10251836 11317012 11716384 12933728 20503672 22634024 41007344 45268048 82014688 90536096 279744587 559489174 1118978348 1958212109 2237956696 3916424218 4475913392 6434125501 7832848436 8951826784 12868251002 15665696872 25736502004 31331393744 45038878507 51473004008 62662787488 90077757014 102946008016 180155514028 205892016032 360311028056 720622056112 1441244112224