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2442240204444 = 22323715711678431
BaseRepresentation
bin100011100010100000110…
…111000001111010011100
322122110211220210221020100
4203202200313001322130
5310003201443020234
65105541043221100
7341305663135125
oct43424067017234
98573756727210
102442240204444
11861825a20a57
123353a5377790
131493c10c2211
14862c296504c
15437dcdbc399
hex238a0dc1e9c

2442240204444 has 72 divisors (see below), whose sum is σ = 6380674821248. Its totient is φ = 787032754560.

The previous prime is 2442240204431. The next prime is 2442240204479. The reversal of 2442240204444 is 4444020422442.

2442240204444 is a `hidden beast` number, since 2 + 4 + 4 + 2 + 2 + 4 + 0 + 204 + 444 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2442240204399 and 2442240204408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5630092 + ... + 6048339.

Almost surely, 22442240204444 is an apocalyptic number.

It is an amenable number.

2442240204444 is an abundant number, since it is smaller than the sum of its proper divisors (3938434616804).

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

2442240204444 is a wasteful number, since it uses less digits than its factorization.

2442240204444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11678635 (or 11678630 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

Adding to 2442240204444 its reverse (4444020422442), we get a palindrome (6886260626886).

The spelling of 2442240204444 in words is "two trillion, four hundred forty-two billion, two hundred forty million, two hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 157 222 314 333 444 471 628 666 942 1332 1413 1884 2826 5652 5809 11618 17427 23236 34854 52281 69708 104562 209124 11678431 23356862 35035293 46713724 70070586 105105879 140141172 210211758 420423516 432101947 864203894 1296305841 1728407788 1833513667 2592611682 3667027334 3888917523 5185223364 5500541001 7334054668 7777835046 11001082002 15555670092 16501623003 22002164004 33003246006 66006492012 67840005679 135680011358 203520017037 271360022716 407040034074 610560051111 814080068148 1221120102222 2442240204444