Search a number
-
+
140404010624 = 274126753813
BaseRepresentation
bin1000001011000010111…
…0110010111010000000
3111102101222220202010122
42002300232302322000
54300021411314444
6144300053115412
713100225253563
oct2026056627200
9442358822118
10140404010624
11545aa449319
1223265028b68
13103174a8c37
146b1d1584da
1539bb4284ee
hex20b0bb2e80

140404010624 has 32 divisors (see below), whose sum is σ = 286533347940. Its totient is φ = 68489758720.

The previous prime is 140404010609. The next prime is 140404010627. The reversal of 140404010624 is 426010404041.

It can be written as a sum of positive squares in 2 ways, for example, as 139105129024 + 1298881600 = 372968^2 + 36040^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×1404040106243 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140404010593 and 140404010602.

It is not an unprimeable number, because it can be changed into a prime (140404010627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13371659 + ... + 13382154.

Almost surely, 2140404010624 is an apocalyptic number.

It is an amenable number.

140404010624 is an abundant number, since it is smaller than the sum of its proper divisors (146129337316).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140404010624 is an equidigital number, since it uses as much as digits as its factorization.

140404010624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26753868 (or 26753856 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 140404010624 its reverse (426010404041), we get a palindrome (566414414665).

The spelling of 140404010624 in words is "one hundred forty billion, four hundred four million, ten thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 26753813 53507626 107015252 214030504 428061008 856122016 1096906333 1712244032 2193812666 3424488064 4387625332 8775250664 17550501328 35101002656 70202005312 140404010624