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10344003440232 = 23371179271261451
BaseRepresentation
bin1001011010000110011010…
…1001101000111001101000
31100121212200101101122122010
42112201212221220321220
52323434004340041412
633555545232355520
72115221022343110
oct226414651507150
940555611348563
1010344003440232
11332895a302250
1211b08a19a5ba0
135a0587593c17
1427a91c40a040
1512e1107dd33c
hex96866a68e68

10344003440232 has 256 divisors, whose sum is σ = 32769766195200. Its totient is φ = 2642945760000.

The previous prime is 10344003440143. The next prime is 10344003440233. The reversal of 10344003440232 is 23204430044301.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10344003440232.

It is not an unprimeable number, because it can be changed into a prime (10344003440233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39433107 + ... + 39694557.

It is an arithmetic number, because the mean of its divisors is an integer number (128006899200).

Almost surely, 210344003440232 is an apocalyptic number.

10344003440232 is a gapful number since it is divisible by the number (12) 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 10344003440232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16384883097600).

10344003440232 is an abundant number, since it is smaller than the sum of its proper divisors (22425762754968).

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

10344003440232 is a wasteful number, since it uses less digits than its factorization.

10344003440232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261828 (or 261824 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10344003440232 its reverse (23204430044301), we get a palindrome (33548433484533).

The spelling of 10344003440232 in words is "ten trillion, three hundred forty-four billion, three million, four hundred forty thousand, two hundred thirty-two".