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1144111104 = 214327759
BaseRepresentation
bin100010000110001…
…1100000000000000
32221201211212101100
41010030130000000
54320343023404
6305310134400
740231532613
oct10414340000
92851755340
101144111104
11537903674
1227b1b1400
13153056826
14abd4217a
156a69ad39
hex4431c000

1144111104 has 90 divisors (see below), whose sum is σ = 3305534960. Its totient is φ = 381321216.

The previous prime is 1144111097. The next prime is 1144111117. The reversal of 1144111104 is 4011114411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 143577 + ... + 151335.

Almost surely, 21144111104 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 1144111104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652767480).

1144111104 is an abundant number, since it is smaller than the sum of its proper divisors (2161423856).

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

1144111104 is an frugal number, since it uses more digits than its factorization.

1144111104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7764 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1144111104 is about 33824.7114400108. The cubic root of 1144111104 is about 1045.8981629789.

Adding to 1144111104 its reverse (4011114411), we get a palindrome (5155225515).

The spelling of 1144111104 in words is "one billion, one hundred forty-four million, one hundred eleven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 7759 8192 9216 12288 15518 16384 18432 23277 24576 31036 36864 46554 49152 62072 69831 73728 93108 124144 139662 147456 186216 248288 279324 372432 496576 558648 744864 993152 1117296 1489728 1986304 2234592 2979456 3972608 4469184 5958912 7945216 8938368 11917824 15890432 17876736 23835648 31780864 35753472 47671296 63561728 71506944 95342592 127123456 143013888 190685184 286027776 381370368 572055552 1144111104