Search a number
-
+
3443504053144 = 2323374311762851
BaseRepresentation
bin110010000111000000110…
…101011111101110011000
3110012012021201101112012111
4302013000311133232120
5422404244014200034
611153531322322104
7503533145336221
oct62070065375630
913165251345174
103443504053144
1111084222a2101
1247745a659334
131bc94b178c0c
14bc948b9c248
155e890582364
hex321c0d5fb98

3443504053144 has 64 divisors (see below), whose sum is σ = 7080295875840. Its totient is φ = 1565117769600.

The previous prime is 3443504053109. The next prime is 3443504053147. The reversal of 3443504053144 is 4413504053443.

3443504053144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3443504053097 and 3443504053106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3443504053147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5588682 + ... + 6174169.

It is an arithmetic number, because the mean of its divisors is an integer number (110629623060).

Almost surely, 23443504053144 is an apocalyptic number.

It is an amenable number.

3443504053144 is an abundant number, since it is smaller than the sum of its proper divisors (3636791822696).

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

3443504053144 is a wasteful number, since it uses less digits than its factorization.

3443504053144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11762960 (or 11762956 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

The spelling of 3443504053144 in words is "three trillion, four hundred forty-three billion, five hundred four million, fifty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 23 37 43 46 74 86 92 148 172 184 296 344 851 989 1591 1702 1978 3182 3404 3956 6364 6808 7912 12728 36593 73186 146372 292744 11762851 23525702 47051404 94102808 270545573 435225487 505802593 541091146 870450974 1011605186 1082182292 1740901948 2023210372 2164364584 3481803896 4046420744 10010186201 11633459639 18714695941 20020372402 23266919278 37429391882 40040744804 46533838556 74858783764 80081489608 93067677112 149717567528 430438006643 860876013286 1721752026572 3443504053144