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1241030246400 = 21433527172341
BaseRepresentation
bin10010000011110011001…
…010101100000000000000
311101122022112100120212000
4102003303022230000000
5130313112220341100
62350042121104000
7155442613020450
oct22036312540000
94348275316760
101241030246400
1143935524753a
1218062a628000
139004ac37609
14440cd877d60
1522436d7a900
hex120f32ac000

1241030246400 has 2880 divisors, whose sum is σ = 5897682524160. Its totient is φ = 249141657600.

The previous prime is 1241030246389. The next prime is 1241030246453. The reversal of 1241030246400 is 46420301421.

It is a happy number.

1241030246400 is a `hidden beast` number, since 1 + 2 + 4 + 10 + 3 + 0 + 2 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30269030380 + ... + 30269030420.

It is an arithmetic number, because the mean of its divisors is an integer number (2047806432).

Almost surely, 21241030246400 is an apocalyptic number.

1241030246400 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 1241030246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948841262080).

1241030246400 is an abundant number, since it is smaller than the sum of its proper divisors (4656652277760).

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

1241030246400 is a wasteful number, since it uses less digits than its factorization.

1241030246400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 1241030246400 its reverse (46420301421), we get a palindrome (1287450547821).

The spelling of 1241030246400 in words is "one trillion, two hundred forty-one billion, thirty million, two hundred forty-six thousand, four hundred".