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10241021230440 = 23357111327192369
BaseRepresentation
bin1001010100000110110001…
…1011101011110101101000
31100021000212101012100121220
42111001230123223311220
52320242102413333230
633440354334302040
72104614024115320
oct225015433536550
940230771170556
1010241021230440
113299213557860
121194941357920
13593954c8b600
1427594d294280
1512b5d4875d10
hex9506c6ebd68

10241021230440 has 768 divisors, whose sum is σ = 42061839667200. Its totient is φ = 1936624435200.

The previous prime is 10241021230439. The next prime is 10241021230493. The reversal of 10241021230440 is 4403212014201.

10241021230440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10241021230440.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110824576 + ... + 110916944.

It is an arithmetic number, because the mean of its divisors is an integer number (54768020400).

Almost surely, 210241021230440 is an apocalyptic number.

10241021230440 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 10241021230440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21030919833600).

10241021230440 is an abundant number, since it is smaller than the sum of its proper divisors (31820818436760).

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

10241021230440 is a wasteful number, since it uses less digits than its factorization.

10241021230440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92498 (or 92481 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10241021230440 its reverse (4403212014201), we get a palindrome (14644233244641).

The spelling of 10241021230440 in words is "ten trillion, two hundred forty-one billion, twenty-one million, two hundred thirty thousand, four hundred forty".