Search a number
-
+
40756541287225 = 5212768172
BaseRepresentation
bin10010100010001010111110…
…01010100110101100111001
312100022021202102211101211111
421101011133022212230321
520320223344032142400
6222403144021400321
711404364041634161
oct1121053712465471
9170267672741744
1040756541287225
1111a93830043715
1246a2a832690a1
13199842ca4c97a
14a0c8acb815a1
154aa287a733ba
hex25115f2a6b39

40756541287225 has 9 divisors (see below), whose sum is σ = 50538150777517. Its totient is φ = 32605207493440.

The previous prime is 40756541287211. The next prime is 40756541287291. The reversal of 40756541287225 is 52278214565704.

The square root of 40756541287225 is 6384085.

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

40756541287225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 205677669289 + 40550863617936 = 453517^2 + 6367956^2 .

It is not a de Polignac number, because 40756541287225 - 219 = 40756540762937 is a prime.

It is a super-2 number, since 2×407565412872252 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40756541287225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 31282017 + ... + 32558833.

Almost surely, 240756541287225 is an apocalyptic number.

40756541287225 is the 6384085-th square number.

40756541287225 is the 3192043-rd centered octagonal number.

It is an amenable number.

40756541287225 is a deficient number, since it is larger than the sum of its proper divisors (9781609490292).

40756541287225 is an frugal number, since it uses more digits than its factorization.

40756541287225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553644 (or 1276822 counting only the distinct ones).

The product of its (nonzero) digits is 37632000, while the sum is 58.

The spelling of 40756541287225 in words is "forty trillion, seven hundred fifty-six billion, five hundred forty-one million, two hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 1276817 6384085 31920425 1630261651489 8151308257445 40756541287225