Search a number
-
+
4002204444024 = 2331677649130547
BaseRepresentation
bin111010001111010101111…
…110010110010101111000
3112011121101111202001122010
4322033111332112111320
51011033003314202044
612302330510525520
7562102233321453
oct72172576262570
915147344661563
104002204444024
111303364087036
125477a22068a0
13230538724a97
14db9ca01649a
156e18e7a3bb9
hex3a3d5f96578

4002204444024 has 64 divisors (see below), whose sum is σ = 10066817376000. Its totient is φ = 1325896193024.

The previous prime is 4002204444001. The next prime is 4002204444037. The reversal of 4002204444024 is 4204444022004.

It is a junction number, because it is equal to n+sod(n) for n = 4002204443982 and 4002204444000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30591919 + ... + 30722465.

It is an arithmetic number, because the mean of its divisors is an integer number (157294021500).

Almost surely, 24002204444024 is an apocalyptic number.

It is an amenable number.

4002204444024 is an abundant number, since it is smaller than the sum of its proper divisors (6064612931976).

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

4002204444024 is a wasteful number, since it uses less digits than its factorization.

4002204444024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138372 (or 138368 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 4002204444024 its reverse (4204444022004), we get a palindrome (8206648466028).

The spelling of 4002204444024 in words is "four trillion, two billion, two hundred four million, four hundred forty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 167 334 501 668 1002 1336 2004 4008 7649 15298 22947 30596 45894 61192 91788 130547 183576 261094 391641 522188 783282 1044376 1277383 1566564 2554766 3133128 3832149 5109532 7664298 10219064 15328596 21801349 30657192 43602698 65404047 87205396 130808094 174410792 261616188 523232376 998554003 1997108006 2995662009 3994216012 5991324018 7988432024 11982648036 23965296072 166758518501 333517037002 500275555503 667034074004 1000551111006 1334068148008 2001102222012 4002204444024