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110313430144 = 274397120641
BaseRepresentation
bin110011010111100110…
…0010101110010000000
3101112201221011212200221
41212233030111302000
53301410214231034
6122402143352424
710653445453651
oct1465714256200
9345657155627
10110313430144
1142869067895
12194678b2714
13a53041a928
1454a6a91528
152d098aabb4
hex19af315c80

110313430144 has 64 divisors (see below), whose sum is σ = 225118349280. Its totient is φ = 53815910400.

The previous prime is 110313430099. The next prime is 110313430153. The reversal of 110313430144 is 441034313011.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5334064 + ... + 5354704.

Almost surely, 2110313430144 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 110313430144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112559174640).

110313430144 is an abundant number, since it is smaller than the sum of its proper divisors (114804919136).

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

110313430144 is an equidigital number, since it uses as much as digits as its factorization.

110313430144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21669 (or 21657 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 110313430144 its reverse (441034313011), we get a palindrome (551347743155).

The spelling of 110313430144 in words is "one hundred ten billion, three hundred thirteen million, four hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 344 688 971 1376 1942 2752 3884 5504 7768 15536 20641 31072 41282 41753 62144 82564 83506 124288 165128 167012 330256 334024 660512 668048 887563 1321024 1336096 1775126 2642048 2672192 3550252 5344384 7100504 14201008 20042411 28402016 40084822 56804032 80169644 113608064 160339288 320678576 641357152 861823673 1282714304 1723647346 2565428608 3447294692 6894589384 13789178768 27578357536 55156715072 110313430144