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1444054113440 = 25517449517241
BaseRepresentation
bin10101000000111000010…
…101010001110010100000
312010001100121120122002222
4111000320111101302200
5142124410323112230
63023220031130212
7206221002303401
oct25007025216240
95101317518088
101444054113440
1150746899a804
121b3a4a973968
13a6234876613
144dc6d3b59a8
152786aa0a6e5
hex15038551ca0

1444054113440 has 48 divisors (see below), whose sum is σ = 3411779956200. Its totient is φ = 577587425280.

The previous prime is 1444054113409. The next prime is 1444054113497. The reversal of 1444054113440 is 443114504441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1307482476304 + 136571637136 = 1143452^2 + 369556^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1444054113440.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2533220 + ... + 3050460.

Almost surely, 21444054113440 is an apocalyptic number.

1444054113440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444054113440 is an abundant number, since it is smaller than the sum of its proper divisors (1967725842760).

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

1444054113440 is a wasteful number, since it uses less digits than its factorization.

1444054113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534705 (or 534697 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 1444054113440 its reverse (443114504441), we get a palindrome (1887168617881).

The spelling of 1444054113440 in words is "one trillion, four hundred forty-four billion, fifty-four million, one hundred thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 17449 34898 69796 87245 139592 174490 279184 348980 517241 558368 697960 1034482 1395920 2068964 2586205 2791840 4137928 5172410 8275856 10344820 16551712 20689640 41379280 82758560 9025338209 18050676418 36101352836 45126691045 72202705672 90253382090 144405411344 180506764180 288810822688 361013528360 722027056720 1444054113440