Search a number
-
+
40024412455225 = 52114104572
BaseRepresentation
bin10010001100110111010001…
…11000110000000100111001
312020201022000010021020012211
421012123220320300010321
520221224444042031400
6221042543343535121
711300445152352412
oct1106335070600471
9166638003236184
1040024412455225
1111831292440000
1245a4bba8ba4a1
131944394176643
149c52987dc809
154961d8031dba
hex2466e8e30139

40024412455225 has 45 divisors (see below), whose sum is σ = 54598180816285. Its totient is φ = 29105879950400.

The previous prime is 40024412455163. The next prime is 40024412455273. The reversal of 40024412455225 is 52255421442004.

The square root of 40024412455225 is 6326485.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4185080788009 + 35839331667216 = 2045747^2 + 5986596^2 .

It is not a de Polignac number, because 40024412455225 - 245 = 4840040366393 is a prime.

It is a super-2 number, since 2×400244124552252 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 3827518197 + ... + 3827528653.

Almost surely, 240024412455225 is an apocalyptic number.

40024412455225 is the 6326485-th square number.

40024412455225 is the 3163243-rd centered octagonal number.

It is an amenable number.

40024412455225 is a deficient number, since it is larger than the sum of its proper divisors (14573768361060).

40024412455225 is an frugal number, since it uses more digits than its factorization.

40024412455225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20968 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

Adding to 40024412455225 its reverse (52255421442004), we get a palindrome (92279833897229).

The spelling of 40024412455225 in words is "forty trillion, twenty-four billion, four hundred twelve million, four hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 5 11 25 55 121 275 605 1331 3025 6655 10457 14641 33275 52285 73205 115027 261425 366025 575135 1265297 2875675 6326485 13918267 31632425 69591335 109348849 153100937 347956675 546744245 765504685 1202837339 2733721225 3827523425 6014186695 13231210729 30070933475 66156053645 145543318019 330780268225 727716590095 1600976498209 3638582950475 8004882491045 40024412455225