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14442334141140 = 2232580235189673
BaseRepresentation
bin1101001000101001111000…
…1100100011101011010100
31220010200012002122111221200
43102022132030203223110
53343110400020004030
650414414450512500
73020265334460433
oct322123614435324
956120162574850
1014442334141140
114668a61125894
121753030595730
13809ba20b1839
1437d026bd711a
151a0a29195d60
hexd229e323ad4

14442334141140 has 36 divisors (see below), whose sum is σ = 43808413562004. Its totient is φ = 3851289104256.

The previous prime is 14442334141099. The next prime is 14442334141141. The reversal of 14442334141140 is 4114143324441.

14442334141140 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 233 + 4 + 1 + 411 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7264200067524 + 7178134073616 = 2695218^2 + 2679204^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×144423341411402 (a number of 27 digits) contains 22 as substring.

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 = 14442334141095 and 14442334141104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14442334141141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40117594657 + ... + 40117595016.

Almost surely, 214442334141140 is an apocalyptic number.

14442334141140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14442334141140 is an abundant number, since it is smaller than the sum of its proper divisors (29366079420864).

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

14442334141140 is a wasteful number, since it uses less digits than its factorization.

14442334141140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80235189688 (or 80235189683 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 14442334141140 its reverse (4114143324441), we get a palindrome (18556477465581).

The spelling of 14442334141140 in words is "fourteen trillion, four hundred forty-two billion, three hundred thirty-four million, one hundred forty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 80235189673 160470379346 240705569019 320940758692 401175948365 481411138038 722116707057 802351896730 962822276076 1203527845095 1444233414114 1604703793460 2407055690190 2888466828228 3610583535285 4814111380380 7221167070570 14442334141140