Search a number
-
+
1140024325440 = 263573112133171
BaseRepresentation
bin10000100101101110101…
…111101011010101000000
311000222121020220011110110
4100211232233223111000
5122134232211403230
62231415301431320
7145235602611000
oct20455657532500
94028536804413
101140024325440
113aa533014100
12164b3ba0b540
1383671bc6990
143d26ada8000
151e9c46904b0
hex1096ebeb540

1140024325440 has 2688 divisors, whose sum is σ = 5230426521600. Its totient is φ = 208631808000.

The previous prime is 1140024325439. The next prime is 1140024325441. The reversal of 1140024325440 is 445234200411.

It is an interprime number because it is at equal distance from previous prime (1140024325439) and next prime (1140024325441).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1140024325398 and 1140024325407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140024325441) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16056680605 + ... + 16056680675.

It is an arithmetic number, because the mean of its divisors is an integer number (1945843200).

Almost surely, 21140024325440 is an apocalyptic number.

1140024325440 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 1140024325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2615213260800).

1140024325440 is an abundant number, since it is smaller than the sum of its proper divisors (4090402196160).

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

1140024325440 is a wasteful number, since it uses less digits than its factorization.

1140024325440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1140024325440 its reverse (445234200411), we get a palindrome (1585258525851).

The spelling of 1140024325440 in words is "one trillion, one hundred forty billion, twenty-four million, three hundred twenty-five thousand, four hundred forty".