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110940400384 = 281141960889
BaseRepresentation
bin110011101010010010…
…0000010101100000000
3101121100121221021011221
41213110210002230000
53304201220303014
6122544301444424
711005130562352
oct1472444025400
9347317837157
10110940400384
114305aa66910
1219601870714
13a60029a438
1455260590d2
152d44954b24
hex19d4902b00

110940400384 has 72 divisors (see below), whose sum is σ = 247471454160. Its totient is φ = 49197465600.

The previous prime is 110940400309. The next prime is 110940400391. The reversal of 110940400384 is 483004049011.

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, 364989 + ... + 595900.

It is an arithmetic number, because the mean of its divisors is an integer number (3437103530).

Almost surely, 2110940400384 is an apocalyptic number.

It is an amenable number.

110940400384 is an abundant number, since it is smaller than the sum of its proper divisors (136531053776).

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

110940400384 is an equidigital number, since it uses as much as digits as its factorization.

110940400384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 960957 (or 960943 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

Adding to 110940400384 its reverse (483004049011), we get a palindrome (593944449395).

The spelling of 110940400384 in words is "one hundred ten billion, nine hundred forty million, four hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 128 164 176 256 328 352 451 656 704 902 1312 1408 1804 2624 2816 3608 5248 7216 10496 14432 28864 57728 115456 960889 1921778 3843556 7687112 10569779 15374224 21139558 30748448 39396449 42279116 61496896 78792898 84558232 122993792 157585796 169116464 245987584 315171592 338232928 433360939 630343184 676465856 866721878 1260686368 1352931712 1733443756 2521372736 2705863424 3466887512 5042745472 6933775024 10085490944 13867550048 27735100096 55470200192 110940400384