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10412324523440 = 245731245742337
BaseRepresentation
bin1001011110000100111011…
…1001111000110110110000
31100212102000210120021122022
42113201032321320312300
52331043420034222230
634051204510331012
72123160052100450
oct227411671706660
940772023507568
1010412324523440
113354929821284
121201b8a4b9a68
135a6b54c34488
1427dd60067d60
15130cad8121e5
hex9784ee78db0

10412324523440 has 240 divisors, whose sum is σ = 28651541737536. Its totient is φ = 3447139368960.

The previous prime is 10412324523437. The next prime is 10412324523457. The reversal of 10412324523440 is 4432542321401.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10412324523440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245917952 + ... + 245960288.

Almost surely, 210412324523440 is an apocalyptic number.

10412324523440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412324523440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325770868768).

10412324523440 is an abundant number, since it is smaller than the sum of its proper divisors (18239217214096).

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

10412324523440 is a wasteful number, since it uses less digits than its factorization.

10412324523440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42876 (or 42839 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

Adding to 10412324523440 its reverse (4432542321401), we get a palindrome (14844866844841).

The spelling of 10412324523440 in words is "ten trillion, four hundred twelve billion, three hundred twenty-four million, five hundred twenty-three thousand, four hundred forty".