Search a number
-
+
40047925125649 = 729040492
BaseRepresentation
bin10010001101100011000100…
…10110011110001000010001
312020210112200202111122102011
421012301202112132020101
520222121122313010044
6221101432434022521
711302236626640100
oct1106614226361021
9166715622448364
1040047925125649
1111840258760331
1245a9681117a41
131946670505a8c
149c6489420037
15496b1235e134
hex246c6259e211

40047925125649 has 9 divisors (see below), whose sum is σ = 46586413411707. Its totient is φ = 34326754994784.

The previous prime is 40047925125599. The next prime is 40047925125661. The reversal of 40047925125649 is 94652152974004.

The square root of 40047925125649 is 6328343.

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

It can be written as a sum of positive squares in only one way, i.e., 36506452791249 + 3541472334400 = 6042057^2 + 1881880^2 .

It is not a de Polignac number, because 40047925125649 - 219 = 40047924601361 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40047925125593 and 40047925125602.

It is not an unprimeable number, because it can be changed into a prime (40047925123649) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 43846377 + ... + 44750425.

Almost surely, 240047925125649 is an apocalyptic number.

40047925125649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

40047925125649 is the 6328343-rd square number.

40047925125649 is the 3164172-nd centered octagonal number.

It is an amenable number.

40047925125649 is a deficient number, since it is larger than the sum of its proper divisors (6538488286058).

40047925125649 is an frugal number, since it uses more digits than its factorization.

40047925125649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808112 (or 904056 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 40047925125649 in words is "forty trillion, forty-seven billion, nine hundred twenty-five million, one hundred twenty-five thousand, six hundred forty-nine".

Divisors: 1 7 49 904049 6328343 44298401 817304594401 5721132160807 40047925125649