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404022012144 = 24398314715821
BaseRepresentation
bin1011110000100011001…
…01101010100011110000
31102121211222200202102120
411320101211222203300
523104414113342034
6505334413514240
741122020303642
oct5702145524360
91377758622376
10404022012144
11146387990683
12663761a2980
132c139998c9a
14157aa406892
15a799a6ac49
hex5e1196a8f0

404022012144 has 80 divisors (see below), whose sum is σ = 1045675167744. Its totient is φ = 134422444800.

The previous prime is 404022012139. The next prime is 404022012157. The reversal of 404022012144 is 441210220404.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 69404754 + ... + 69410574.

Almost surely, 2404022012144 is an apocalyptic number.

It is an amenable number.

404022012144 is an abundant number, since it is smaller than the sum of its proper divisors (641653155600).

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

404022012144 is a wasteful number, since it uses less digits than its factorization.

404022012144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286 (or 8280 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 404022012144 its reverse (441210220404), we get a palindrome (845232232548).

The spelling of 404022012144 in words is "four hundred four billion, twenty-two million, twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 983 1471 1966 2942 2949 3932 4413 5821 5884 5898 7864 8826 11642 11768 11796 15728 17463 17652 23284 23536 23592 34926 35304 46568 47184 69852 70608 93136 139704 279408 1445993 2891986 4337979 5722043 5783972 8562691 8675958 11444086 11567944 17125382 17166129 17351916 22888172 23135888 25688073 34250764 34332258 34703832 45776344 51376146 68501528 68664516 69407664 91552688 102752292 137003056 137329032 205504584 274658064 411009168 8417125253 16834250506 25251375759 33668501012 50502751518 67337002024 101005503036 134674004048 202011006072 404022012144