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11144031432 = 2335313963029
BaseRepresentation
bin10100110000011110…
…00110110011001000
31001202122110110012220
422120033012303020
5140310333001212
65041451134040
7543105463362
oct123017066310
931678413186
1011144031432
1147a9573836
1221b0144320
131087a16951
1477a083d32
1545354038c
hex2983c6cc8

11144031432 has 64 divisors (see below), whose sum is σ = 28590408000. Its totient is φ = 3618311424.

The previous prime is 11144031401. The next prime is 11144031523. The reversal of 11144031432 is 23413044111.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145294 + ... + 208322.

It is an arithmetic number, because the mean of its divisors is an integer number (446725125).

Almost surely, 211144031432 is an apocalyptic number.

11144031432 is a gapful number since it is divisible by the number (12) 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 11144031432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295204000).

11144031432 is an abundant number, since it is smaller than the sum of its proper divisors (17446376568).

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

11144031432 is a wasteful number, since it uses less digits than its factorization.

11144031432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63230 (or 63226 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11144031432 its reverse (23413044111), we get a palindrome (34557075543).

The spelling of 11144031432 in words is "eleven billion, one hundred forty-four million, thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 53 106 139 159 212 278 318 417 424 556 636 834 1112 1272 1668 3336 7367 14734 22101 29468 44202 58936 63029 88404 126058 176808 189087 252116 378174 504232 756348 1512696 3340537 6681074 8761031 10021611 13362148 17522062 20043222 26283093 26724296 35044124 40086444 52566186 70088248 80172888 105132372 210264744 464334643 928669286 1393003929 1857338572 2786007858 3714677144 5572015716 11144031432