Search a number
-
+
1141243303200 = 2535271113372347
BaseRepresentation
bin10000100110110111011…
…001101101010100100000
311001002202012121122120220
4100212313121231110200
5122144231241200300
62232140244403040
7145311034010010
oct20466731552440
94032665548526
101141243303200
113aaaa9102140
121652200a6480
13838076041b0
143d344c37c40
151ea466c8da0
hex109b766d520

1141243303200 has 1728 divisors, whose sum is σ = 5140848964608. Its totient is φ = 212369817600.

The previous prime is 1141243303199. The next prime is 1141243303243. The reversal of 1141243303200 is 23033421411.

It is a happy number.

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

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 3288885427 + ... + 3288885773.

It is an arithmetic number, because the mean of its divisors is an integer number (2975028336).

Almost surely, 21141243303200 is an apocalyptic number.

1141243303200 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 1141243303200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2570424482304).

1141243303200 is an abundant number, since it is smaller than the sum of its proper divisors (3999605661408).

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

1141243303200 is a wasteful number, since it uses less digits than its factorization.

1141243303200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1141243303200 its reverse (23033421411), we get a palindrome (1164276724611).

The spelling of 1141243303200 in words is "one trillion, one hundred forty-one billion, two hundred forty-three million, three hundred three thousand, two hundred".