Search a number
-
+
40110044023242 = 2346433559108193
BaseRepresentation
bin10010001111010110110001…
…11011010000100111001010
312021000111000221011121020000
421013223120323100213022
520224130332232220432
6221150144433343430
711306566165566564
oct1107533073204712
9167014027147200
1040110044023242
1111864635203526
1245b9718707b76
13194c48cc3950b
149c949d47c334
1549854ab0d57c
hex247ad8ed09ca

40110044023242 has 80 divisors (see below), whose sum is σ = 90042110854080. Its totient is φ = 13345347310848.

The previous prime is 40110044023223. The next prime is 40110044023261. The reversal of 40110044023242 is 24232044001104.

40110044023242 is a `hidden beast` number, since 4 + 0 + 1 + 10 + 0 + 4 + 402 + 3 + 242 = 666.

40110044023242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40110044023223) and next prime (40110044023261).

It is a super-2 number, since 2×401100440232422 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370672698 + ... + 370780890.

It is an arithmetic number, because the mean of its divisors is an integer number (1125526385676).

Almost surely, 240110044023242 is an apocalyptic number.

40110044023242 is an abundant number, since it is smaller than the sum of its proper divisors (49932066830838).

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

40110044023242 is a wasteful number, since it uses less digits than its factorization.

40110044023242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112409 (or 112400 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40110044023242 its reverse (24232044001104), we get a palindrome (64342088024346).

The spelling of 40110044023242 in words is "forty trillion, one hundred ten billion, forty-four million, twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 643 1286 1929 3559 3858 5787 7118 10677 11574 17361 21354 32031 34722 52083 64062 96093 104166 108193 192186 216386 288279 324579 576558 649158 973737 1947474 2288437 2921211 4576874 5842422 6865311 8763633 13730622 17527266 20595933 41191866 61787799 69568099 123575598 139136198 185363397 208704297 370726794 385058887 417408594 626112891 770117774 1155176661 1252225782 1878338673 2310353322 3465529983 3756677346 5635016019 6931059966 10396589949 11270032038 20793179898 31189769847 62379539694 247592864341 495185728682 742778593023 1485557186046 2228335779069 4456671558138 6685007337207 13370014674414 20055022011621 40110044023242