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1132414040233 = 72229421239713
BaseRepresentation
bin10000011110101001001…
…000101111100010101001
311000020221212210121202101
4100132221020233202221
5122023140443241413
62224120202533401
7144546163344400
oct20365110574251
94006855717671
101132414040233
113a72882271a3
12163577207261
1382a2b333838
143cb48388637
151e6cb4c5edd
hex107a922f8a9

1132414040233 has 24 divisors (see below), whose sum is σ = 1326198527880. Its totient is φ = 964102487040.

The previous prime is 1132414040213. The next prime is 1132414040257. The reversal of 1132414040233 is 3320404142311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2640623769 + 1129773416464 = 51387^2 + 1062908^2 .

It is not a de Polignac number, because 1132414040233 - 225 = 1132380485801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1132414040213) 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 23 ways as a sum of consecutive naturals, for example, 4604185 + ... + 4843897.

It is an arithmetic number, because the mean of its divisors is an integer number (55258271995).

Almost surely, 21132414040233 is an apocalyptic number.

It is an amenable number.

1132414040233 is a deficient number, since it is larger than the sum of its proper divisors (193784487647).

1132414040233 is a wasteful number, since it uses less digits than its factorization.

1132414040233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240377 (or 240370 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 1132414040233 its reverse (3320404142311), we get a palindrome (4452818182544).

The spelling of 1132414040233 in words is "one trillion, one hundred thirty-two billion, four hundred fourteen million, forty thousand, two hundred thirty-three".

Divisors: 1 7 49 229 421 1603 2947 11221 20629 96409 239713 674863 1677991 4724041 11745937 54894277 100919173 384259939 706434211 2689819573 4945039477 23110490617 161773434319 1132414040233