Search a number
-
+
840008844040 = 235181116023321
BaseRepresentation
bin11000011100101000110…
…11011100001100001000
32222022012122211121020011
430032110123130030020
5102230314231002130
61441521132441304
7114455126236132
oct14162433341410
92868178747204
10840008844040
112a4278103463
12116971319234
136129bb075a2
142c929b96052
1516cb597452a
hexc3946dc308

840008844040 has 32 divisors (see below), whose sum is σ = 1900462014360. Its totient is φ = 334147161600.

The previous prime is 840008843987. The next prime is 840008844041. The reversal of 840008844040 is 40448800048.

It can be written as a sum of positive squares in 4 ways, for example, as 531910579684 + 308098264356 = 729322^2 + 555066^2 .

It is a super-2 number, since 2×8400088440402 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 840008843984 and 840008844002.

It is not an unprimeable number, because it can be changed into a prime (840008844041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58004421 + ... + 58018900.

Almost surely, 2840008844040 is an apocalyptic number.

It is an amenable number.

840008844040 is an abundant number, since it is smaller than the sum of its proper divisors (1060453170320).

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

840008844040 is a wasteful number, since it uses less digits than its factorization.

840008844040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116023513 (or 116023509 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 840008844040 in words is "eight hundred forty billion, eight million, eight hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 181 362 724 905 1448 1810 3620 7240 116023321 232046642 464093284 580116605 928186568 1160233210 2320466420 4640932840 21000221101 42000442202 84000884404 105001105505 168001768808 210002211010 420004422020 840008844040