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11112342144 = 27391931489
BaseRepresentation
bin10100101100101100…
…01110001010000000
31001200102211110200120
422112112032022000
5140224224422034
65034400020240
7542242230651
oct122626161200
931612743616
1011112342144
11479269a142
1221a1601680
13108129caa7
14775b95528
15450880c49
hex29658e280

11112342144 has 64 divisors (see below), whose sum is σ = 29550216000. Its totient is φ = 3699965952.

The previous prime is 11112342113. The next prime is 11112342169. The reversal of 11112342144 is 44124321111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×111123421444 (a number of 41 digits) contains 4444 as substring.

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

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

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, 337152 + ... + 368640.

It is an arithmetic number, because the mean of its divisors is an integer number (461722125).

Almost surely, 211112342144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11112342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14775108000).

11112342144 is an abundant number, since it is smaller than the sum of its proper divisors (18437873856).

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

11112342144 is an equidigital number, since it uses as much as digits as its factorization.

11112342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32425 (or 32413 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 11112342144 its reverse (44124321111), we get a palindrome (55236663255).

The spelling of 11112342144 in words is "eleven billion, one hundred twelve million, three hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 919 1838 2757 3676 5514 7352 11028 14704 22056 29408 31489 44112 58816 62978 88224 94467 117632 125956 176448 188934 251912 352896 377868 503824 755736 1007648 1511472 2015296 3022944 4030592 6045888 12091776 28938391 57876782 86815173 115753564 173630346 231507128 347260692 463014256 694521384 926028512 1389042768 1852057024 2778085536 3704114048 5556171072 11112342144