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11124444432 = 243257901787
BaseRepresentation
bin10100101110001000…
…11000110100010000
31001201021121022220110
422113010120310100
5140240324210212
65035511241320
7542450134413
oct122704306420
931637538813
1011124444432
114799505832
1221a5679240
1310839494ca
14777625b7a
15451971a3c
hex297118d10

11124444432 has 40 divisors (see below), whose sum is σ = 28850001696. Its totient is φ = 3693715456.

The previous prime is 11124444427. The next prime is 11124444509. The reversal of 11124444432 is 23444442111.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11124444432.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438558 + ... + 463229.

Almost surely, 211124444432 is an apocalyptic number.

11124444432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11124444432 is an abundant number, since it is smaller than the sum of its proper divisors (17725557264).

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

11124444432 is a wasteful number, since it uses less digits than its factorization.

11124444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902055 (or 902049 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

Adding to 11124444432 its reverse (23444442111), we get a palindrome (34568886543).

The spelling of 11124444432 in words is "eleven billion, one hundred twenty-four million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 257 514 771 1028 1542 2056 3084 4112 6168 12336 901787 1803574 2705361 3607148 5410722 7214296 10821444 14428592 21642888 43285776 231759259 463518518 695277777 927037036 1390555554 1854074072 2781111108 3708148144 5562222216 11124444432