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2144422244412 = 2232775997111973
BaseRepresentation
bin11111001101001001100…
…001101011000000111100
321121000010110210000121100
4133031021201223000330
5240113234043310122
64321044534533100
7310633532220150
oct37151141530074
97530113700540
102144422244412
117574984a7678
122a772a807190
131272ab377226
1475b0d547060
153abac07daac
hex1f34986b03c

2144422244412 has 72 divisors (see below), whose sum is σ = 6195134437856. Its totient is φ = 612678536064.

The previous prime is 2144422244401. The next prime is 2144422244429.

2144422244412 is a `hidden beast` number, since 2 + 14 + 4 + 4 + 2 + 224 + 4 + 412 = 666.

2144422244412 is nontrivially palindromic in base 10.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19095258 + ... + 19207230.

Almost surely, 22144422244412 is an apocalyptic number.

It is an amenable number.

2144422244412 is an abundant number, since it is smaller than the sum of its proper divisors (4050712193444).

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

2144422244412 is a wasteful number, since it uses less digits than its factorization.

2144422244412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187987 (or 187982 counting only the distinct ones).

The product of its digits is 131072, while the sum is 36.

The spelling of 2144422244412 in words is "two trillion, one hundred forty-four billion, four hundred twenty-two million, two hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 75997 111973 151994 223946 227991 303988 335919 447892 455982 531979 671838 683973 783811 911964 1007757 1063958 1343676 1367946 1567622 1595937 2015514 2127916 2351433 2735892 3135244 3191874 4031028 4702866 4787811 6383748 7054299 9405732 9575622 14108598 19151244 28217196 8509612081 17019224162 25528836243 34038448324 51057672486 59567284567 76586508729 102115344972 119134569134 153173017458 178701853701 238269138268 306346034916 357403707402 536105561103 714807414804 1072211122206 2144422244412