Search a number
-
+
240904824589881 = 3251737032
BaseRepresentation
bin110110110001101000000110…
…011111101000111000111001
31011120222021110102122201020100
4312301220012133220320321
5223033441040043334011
62212210052032550013
7101512541062445514
oct6661500637507071
91146867412581210
10240904824589881
116a83a187117a81
1223028b763b2309
13a4562c5a1664a
14436bbda165d7b
151ccb749b40d56
hexdb1a067e8e39

240904824589881 has 9 divisors (see below), whose sum is σ = 347973702776869. Its totient is φ = 160603185351036.

The previous prime is 240904824589867. The next prime is 240904824589907. The reversal of 240904824589881 is 188985428409042.

The square root of 240904824589881 is 15521109.

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

240904824589881 is a `hidden beast` number, since 2 + 4 + 0 + 9 + 0 + 4 + 8 + 2 + 458 + 98 + 81 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 240904824589881 - 219 = 240904824065593 is a prime.

It is a super-2 number, since 2×2409048245898812 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (240904824582881) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 43976476 + ... + 49150178.

Almost surely, 2240904824589881 is an apocalyptic number.

240904824589881 is the 15521109-th square number.

240904824589881 is the 7760555-th centered octagonal number.

It is an amenable number.

240904824589881 is a deficient number, since it is larger than the sum of its proper divisors (107068878186988).

240904824589881 is an frugal number, since it uses more digits than its factorization.

240904824589881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347412 (or 5173706 counting only the distinct ones).

The product of its (nonzero) digits is 424673280, while the sum is 72.

The spelling of 240904824589881 in words is "two hundred forty trillion, nine hundred four billion, eight hundred twenty-four million, five hundred eighty-nine thousand, eight hundred eighty-one".

Divisors: 1 3 9 5173703 15521109 46563327 26767202732209 80301608196627 240904824589881