Search a number
-
+
1034004034037 = 131371597363541
BaseRepresentation
bin11110000101111110111…
…00010111000111110101
310122211221112000022222002
433002333130113013311
5113420120013042122
62111003114545045
7134463404162342
oct17027734270765
93584845008862
101034004034037
11369578358a67
12148491a38185
1376677065540
14380905757c9
151bd6bb60992
hexf0bf7171f5

1034004034037 has 16 divisors (see below), whose sum is σ = 1122376304112. Its totient is φ = 946902458880.

The previous prime is 1034004034027. The next prime is 1034004034039. The reversal of 1034004034037 is 7304304004301.

It can be written as a sum of positive squares in 8 ways, for example, as 27511529956 + 1006492504081 = 165866^2 + 1003241^2 .

It is a cyclic number.

It is not a de Polignac number, because 1034004034037 - 26 = 1034004033973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034004034039) 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, 2662487 + ... + 3026027.

It is an arithmetic number, because the mean of its divisors is an integer number (70148519007).

Almost surely, 21034004034037 is an apocalyptic number.

It is an amenable number.

1034004034037 is a deficient number, since it is larger than the sum of its proper divisors (88372270075).

1034004034037 is a wasteful number, since it uses less digits than its factorization.

1034004034037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365288.

The product of its (nonzero) digits is 12096, while the sum is 29.

Adding to 1034004034037 its reverse (7304304004301), we get a palindrome (8338308038338).

The spelling of 1034004034037 in words is "one trillion, thirty-four billion, four million, thirty-four thousand, thirty-seven".

Divisors: 1 13 137 1597 1781 20761 218789 363541 2844257 4726033 49805117 580574977 647466521 7547474701 79538771849 1034004034037