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3434203410444 = 2232463812056759
BaseRepresentation
bin110001111110010110011…
…110010111000000001100
3110011022021112120220221100
4301332112132113000030
5422231222033113234
611145352401303100
7503053522230642
oct61762636270014
913138245526840
103434203410444
11110448a328634
124756a3934a90
131bbac8334441
14bc305887192
155e4e8cbb399
hex31f9679700c

3434203410444 has 36 divisors (see below), whose sum is σ = 8681094451120. Its totient is φ = 1144709232480.

The previous prime is 3434203410331. The next prime is 3434203410479. The reversal of 3434203410444 is 4440143024343.

3434203410444 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 203 + 4 + 1 + 0 + 444 = 666.

3434203410444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 3434203410399 and 3434203410408.

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, 641337 + ... + 2698095.

Almost surely, 23434203410444 is an apocalyptic number.

It is an amenable number.

3434203410444 is an abundant number, since it is smaller than the sum of its proper divisors (5246891040676).

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

3434203410444 is a wasteful number, since it uses less digits than its factorization.

3434203410444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103150 (or 2103145 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3434203410444 its reverse (4440143024343), we get a palindrome (7874346434787).

The spelling of 3434203410444 in words is "three trillion, four hundred thirty-four billion, two hundred three million, four hundred ten thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 46381 92762 139143 185524 278286 417429 556572 834858 1669716 2056759 4113518 6170277 8227036 12340554 18510831 24681108 37021662 74043324 95394539179 190789078358 286183617537 381578156716 572367235074 858550852611 1144734470148 1717101705222 3434203410444