Search a number
-
+
1142344544000 = 2853112312307
BaseRepresentation
bin10000100111111001000…
…010100110111100000000
311001012120221210110222012
4100213321002212330000
5122204010200402000
62232441424032052
7145350235261412
oct20477102467400
94035527713865
101142344544000
11400513794700
12165488a62628
13839517ca87a
143d40b1ba9b2
151eaad207735
hex109f90a6f00

1142344544000 has 648 divisors, whose sum is σ = 3242627820432. Its totient is φ = 400688640000.

The previous prime is 1142344543987. The next prime is 1142344544021. The reversal of 1142344544000 is 4454432411.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3720991847 + ... + 3720992153.

Almost surely, 21142344544000 is an apocalyptic number.

1142344544000 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 1142344544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621313910216).

1142344544000 is an abundant number, since it is smaller than the sum of its proper divisors (2100283276432).

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

1142344544000 is an equidigital number, since it uses as much as digits as its factorization.

1142344544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 1142344544000 its reverse (4454432411), we get a palindrome (1146798976411).

The spelling of 1142344544000 in words is "one trillion, one hundred forty-two billion, three hundred forty-four million, five hundred forty-four thousand".