Search a number
-
+
110313014142016 = 267478087515041
BaseRepresentation
bin11001000101010001000000…
…000001011010010001000000
3112110120211011121212201112001
4121011101000001122101000
5103424332023110021031
61030341033223113344
732143565220030220
oct3105210001322100
9473524147781461
10110313014142016
11321705396a0a64
12104574992a2854
13497261b3b39ca
141d3526d650080
15cb47646b8861
hex64544005a440

110313014142016 has 56 divisors (see below), whose sum is σ = 250175166091136. Its totient is φ = 47276815380480.

The previous prime is 110313014141999. The next prime is 110313014142031. The reversal of 110313014142016 is 610241410313011.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1103130141420162 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 213925456 + ... + 214440496.

Almost surely, 2110313014142016 is an apocalyptic number.

110313014142016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

110313014142016 is an abundant number, since it is smaller than the sum of its proper divisors (139862151949120).

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

110313014142016 is an equidigital number, since it uses as much as digits as its factorization.

110313014142016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993147 (or 993137 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

Adding to 110313014142016 its reverse (610241410313011), we get a palindrome (720554424455027).

The spelling of 110313014142016 in words is "one hundred ten trillion, three hundred thirteen billion, fourteen million, one hundred forty-two thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 478087 515041 956174 1030082 1912348 2060164 3346609 3605287 3824696 4120328 6693218 7210574 7649392 8240656 13386436 14421148 15298784 16481312 26772872 28842296 30597568 32962624 53545744 57684592 107091488 115369184 214182976 230738368 246234406567 492468813134 984937626268 1723640845969 1969875252536 3447281691938 3939750505072 6894563383876 7879501010144 13789126767752 15759002020288 27578253535504 55156507071008 110313014142016