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114044040404244 = 22324337316143213
BaseRepresentation
bin11001111011100011110010…
…100001000101110100010100
3112221210111121021000211012100
4121323203302201011310110
5104421444143320413434
61042315035304322100
733010260431010666
oct3173436241056424
9487714537024170
10114044040404244
1133379895760365
121095a5ba473330
134b833cb249692
142023a922bc536
15d2b831c5b699
hex67b8f2845d14

114044040404244 has 36 divisors (see below), whose sum is σ = 288943760093716. Its totient is φ = 37926886411008.

The previous prime is 114044040404227. The next prime is 114044040404293. The reversal of 114044040404244 is 442404040440411.

114044040404244 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 4 + 4 + 0 + 4 + 0 + 404 + 244 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37487455290000 + 76556585114244 = 6122700^2 + 8749662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 114044040404199 and 114044040404208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3658056019 + ... + 3658087194.

Almost surely, 2114044040404244 is an apocalyptic number.

It is an amenable number.

114044040404244 is an abundant number, since it is smaller than the sum of its proper divisors (174899719689472).

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

114044040404244 is a wasteful number, since it uses less digits than its factorization.

114044040404244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7316143656 (or 7316143651 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 114044040404244 its reverse (442404040440411), we get a palindrome (556448080844655).

The spelling of 114044040404244 in words is "one hundred fourteen trillion, forty-four billion, forty million, four hundred four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 433 866 1299 1732 2598 3897 5196 7794 15588 7316143213 14632286426 21948429639 29264572852 43896859278 65845288917 87793718556 131690577834 263381155668 3167890011229 6335780022458 9503670033687 12671560044916 19007340067374 28511010101061 38014680134748 57022020202122 114044040404244