Search a number
-
+
110400021401142 = 231110949930753757
BaseRepresentation
bin11001000110100010000010…
…000011110000111000110110
3112110220010202022101102221210
4121012202002003300320312
5103432243220434314032
61030445023014422250
732153065306363554
oct3106420203607066
9473803668342853
10110400021401142
11321a4427a5a590
121047031b961986
13497a8a61938a5
141d39564cb4bd4
15cb6b57e372cc
hex6468820f0e36

110400021401142 has 64 divisors (see below), whose sum is σ = 243569763360000. Its totient is φ = 33081200254080.

The previous prime is 110400021401113. The next prime is 110400021401177. The reversal of 110400021401142 is 241104120004011.

It is a super-2 number, since 2×1104000214011422 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 11787073 + ... + 18966684.

It is an arithmetic number, because the mean of its divisors is an integer number (3805777552500).

Almost surely, 2110400021401142 is an apocalyptic number.

110400021401142 is an abundant number, since it is smaller than the sum of its proper divisors (133169741958858).

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

110400021401142 is a wasteful number, since it uses less digits than its factorization.

110400021401142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30754381.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 110400021401142 its reverse (241104120004011), we get a palindrome (351504141405153).

The spelling of 110400021401142 in words is "one hundred ten trillion, four hundred billion, twenty-one million, four hundred one thousand, one hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 499 654 998 1199 1497 2398 2994 3597 5489 7194 10978 16467 32934 54391 108782 163173 326346 598301 1196602 1794903 3589806 30753757 61507514 92261271 184522542 338291327 676582654 1014873981 2029747962 3352159513 6704319026 10056478539 15346124743 20112957078 30692249486 36873754643 46038374229 73747509286 92076748458 110621263929 168807372173 221242527858 337614744346 506422116519 1012844233038 1672727596987 3345455193974 5018182790961 10036365581922 18400003566857 36800007133714 55200010700571 110400021401142