Search a number
-
+
3412413420444 = 2232713541323097
BaseRepresentation
bin110001101010000011101…
…100001001001110011100
3110002020000221212202000200
4301222003230021032130
5421402110313423234
611131350250223500
7501352533330210
oct61520354111634
913066027782020
103412413420444
1110a6218461636
12471422424b90
131b9a34b62a32
14bb239972940
155db70d22d99
hex31a83b0939c

3412413420444 has 36 divisors (see below), whose sum is σ = 9858083215344. Its totient is φ = 974975262912.

The previous prime is 3412413420431. The next prime is 3412413420571. The reversal of 3412413420444 is 4440243142143.

3412413420444 is a `hidden beast` number, since 3 + 41 + 24 + 134 + 20 + 444 = 666.

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 = 3412413420399 and 3412413420408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6770661297 + ... + 6770661800.

Almost surely, 23412413420444 is an apocalyptic number.

It is an amenable number.

3412413420444 is an abundant number, since it is smaller than the sum of its proper divisors (6445669794900).

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

3412413420444 is a wasteful number, since it uses less digits than its factorization.

3412413420444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13541323114 (or 13541323109 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 3412413420444 its reverse (4440243142143), we get a palindrome (7852656562587).

The spelling of 3412413420444 in words is "three trillion, four hundred twelve billion, four hundred thirteen million, four hundred twenty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 13541323097 27082646194 40623969291 54165292388 81247938582 94789261679 121871907873 162495877164 189578523358 243743815746 284367785037 379157046716 487487631492 568735570074 853103355111 1137471140148 1706206710222 3412413420444