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1054041420224 = 26133724321521
BaseRepresentation
bin11110101011010011100…
…00111011000111000000
310201202122221220000102102
433111221300323013000
5114232134100421344
62124115301405532
7136103062150022
oct17255160730700
93652587800372
101054041420224
1137701a9a2861
121503444098a8
137851b400080
14390317d0012
151c640d13e4e
hexf569c3b1c0

1054041420224 has 168 divisors, whose sum is σ = 2368978709328. Its totient is φ = 462303313920.

The previous prime is 1054041420221. The next prime is 1054041420239. The reversal of 1054041420224 is 4220241404501.

It is a happy number.

1054041420224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10540414202242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054041420221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48966584 + ... + 48988104.

It is an arithmetic number, because the mean of its divisors is an integer number (14101063746).

Almost surely, 21054041420224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054041420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184489354664).

1054041420224 is an abundant number, since it is smaller than the sum of its proper divisors (1314937289104).

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

1054041420224 is a wasteful number, since it uses less digits than its factorization.

1054041420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21663 (or 21616 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

Adding to 1054041420224 its reverse (4220241404501), we get a palindrome (5274282824725).

The spelling of 1054041420224 in words is "one trillion, fifty-four billion, forty-one million, four hundred twenty thousand, two hundred twenty-four".