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4200440442444 = 2232671741476137
BaseRepresentation
bin111101000111111101110…
…000101010111001001100
3112212120001220202011212200
4331013331300222321030
51022310000223124234
612533353344201500
7612320554441641
oct75077560527114
915776056664780
104200440442444
11137a440140794
1257a0a7009290
1324613b44922c
14107433b11dc8
15743e2e30d99
hex3d1fdc2ae4c

4200440442444 has 36 divisors (see below), whose sum is σ = 10776254341944. Its totient is φ = 1379249099712.

The previous prime is 4200440442379. The next prime is 4200440442461. The reversal of 4200440442444 is 4442440440024.

4200440442444 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 4 + 404 + 4 + 244 + 4 = 666.

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

It is a super-3 number, since 3×42004404424443 (a number of 39 digits) contains 333 as substring.

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 = 4200440442399 and 4200440442408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 870735657 + ... + 870740480.

Almost surely, 24200440442444 is an apocalyptic number.

It is an amenable number.

4200440442444 is an abundant number, since it is smaller than the sum of its proper divisors (6575813899500).

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

4200440442444 is a wasteful number, since it uses less digits than its factorization.

4200440442444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741476214 (or 1741476209 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 4200440442444 its reverse (4442440440024), we get a palindrome (8642880882468).

The spelling of 4200440442444 in words is "four trillion, two hundred billion, four hundred forty million, four hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 1741476137 3482952274 5224428411 6965904548 10448856822 15673285233 20897713644 31346570466 62693140932 116678901179 233357802358 350036703537 466715604716 700073407074 1050110110611 1400146814148 2100220221222 4200440442444