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1040443407440 = 24513005542593
BaseRepresentation
bin11110010001111110100…
…00100111110001010000
310200110120021211101122022
433020333100213301100
5114021312003014230
62113550105031012
7135112105020623
oct17107720476120
93613507741568
101040443407440
113712821a7568
1214978a485468
137716217a168
1438501877dba
151c0e71381e5
hexf23f427c50

1040443407440 has 20 divisors (see below), whose sum is σ = 2419030922484. Its totient is φ = 416177362944.

The previous prime is 1040443407431. The next prime is 1040443407449. The reversal of 1040443407440 is 447043440401.

1040443407440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1040443407431) and next prime (1040443407449).

It can be written as a sum of positive squares in 2 ways, for example, as 757721502784 + 282721904656 = 870472^2 + 531716^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 1040443407440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040443407449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6502771217 + ... + 6502771376.

Almost surely, 21040443407440 is an apocalyptic number.

1040443407440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040443407440 is an abundant number, since it is smaller than the sum of its proper divisors (1378587515044).

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

1040443407440 is a wasteful number, since it uses less digits than its factorization.

1040443407440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13005542606 (or 13005542600 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 35.

Adding to 1040443407440 its reverse (447043440401), we get a palindrome (1487486847841).

The spelling of 1040443407440 in words is "one trillion, forty billion, four hundred forty-three million, four hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 13005542593 26011085186 52022170372 65027712965 104044340744 130055425930 208088681488 260110851860 520221703720 1040443407440