Search a number
-
+
1141243456 = 26177314369
BaseRepresentation
bin100010000000101…
…1111111001000000
32221112110011201011
41010001133321000
54314124242311
6305124450304
740165260253
oct10401377100
92845404634
101141243456
11536225111
1227a249994
131525914b2
14ab7d709a
156a2d1321
hex4405fe40

1141243456 has 56 divisors (see below), whose sum is σ = 2430886680. Its totient is φ = 529661952.

The previous prime is 1141243447. The next prime is 1141243457. The reversal of 1141243456 is 6543421411.

It can be written as a sum of positive squares in 4 ways, for example, as 392673856 + 748569600 = 19816^2 + 27360^2 .

It is not an unprimeable number, because it can be changed into a prime (1141243457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72240 + ... + 86608.

Almost surely, 21141243456 is an apocalyptic number.

1141243456 is a gapful number since it is divisible by the number (16) 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 1141243456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215443340).

1141243456 is an abundant number, since it is smaller than the sum of its proper divisors (1289643224).

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

1141243456 is a wasteful number, since it uses less digits than its factorization.

1141243456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14471 (or 14461 counting only the distinct ones).

The product of its digits is 11520, while the sum is 31.

The square root of 1141243456 is about 33782.2950078884. The cubic root of 1141243456 is about 1045.0236042378.

Adding to 1141243456 its reverse (6543421411), we get a palindrome (7684664867).

The spelling of 1141243456 in words is "one billion, one hundred forty-one million, two hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 136 146 272 292 544 584 1088 1168 1241 2336 2482 4672 4964 9928 14369 19856 28738 39712 57476 79424 114952 229904 244273 459808 488546 919616 977092 1048937 1954184 2097874 3908368 4195748 7816736 8391496 15633472 16782992 17831929 33565984 35663858 67131968 71327716 142655432 285310864 570621728 1141243456