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1054340424000 = 263253236311009
BaseRepresentation
bin11110101011110111001…
…01100010000101000000
310201210102210111222111100
433111323211202011000
5114233242122032000
62124205102214400
7136113352510113
oct17257345420500
93653383458440
101054340424000
11377163756816
12150408584400
137856833c596
143905d3c457a
151c65c1c7a00
hexf57b962140

1054340424000 has 672 divisors, whose sum is σ = 3945675502080. Its totient is φ = 268240896000.

The previous prime is 1054340423957. The next prime is 1054340424001. The reversal of 1054340424000 is 4240434501.

It is a happy number.

1054340424000 is a `hidden beast` number, since 1 + 0 + 543 + 40 + 42 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×10543404240002 (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 (1054340424001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1044935496 + ... + 1044936504.

Almost surely, 21054340424000 is an apocalyptic number.

1054340424000 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 1054340424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1972837751040).

1054340424000 is an abundant number, since it is smaller than the sum of its proper divisors (2891335078080).

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

1054340424000 is a wasteful number, since it uses less digits than its factorization.

1054340424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1673 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1054340424000 its reverse (4240434501), we get a palindrome (1058580858501).

It can be divided in two parts, 1054340 and 424000, that added together give a triangular number (1478340 = T1719).

The spelling of 1054340424000 in words is "one trillion, fifty-four billion, three hundred forty million, four hundred twenty-four thousand".