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2144650440141 = 33117759930667
BaseRepresentation
bin11111001101010111001…
…000001010110111001101
321121000201101011120022000
4133031113020022313031
5240114221003041031
64321123325542513
7310642302646626
oct37152710126715
97530641146260
102144650440141
117575a5298490
122a7793114a39
131273167241a1
1475b31988a4d
153abc21073e6
hex1f35720adcd

2144650440141 has 32 divisors (see below), whose sum is σ = 3466552166400. Its totient is φ = 1299619229040.

The previous prime is 2144650440139. The next prime is 2144650440143. The reversal of 2144650440141 is 1410440564412.

2144650440141 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 6 + 504 + 4 + 0 + 141 = 666.

It is an interprime number because it is at equal distance from previous prime (2144650440139) and next prime (2144650440143).

It is not a de Polignac number, because 2144650440141 - 21 = 2144650440139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2144650440096 and 2144650440105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144650440143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1839090 + ... + 2769756.

It is an arithmetic number, because the mean of its divisors is an integer number (108329755200).

Almost surely, 22144650440141 is an apocalyptic number.

It is an amenable number.

2144650440141 is a deficient number, since it is larger than the sum of its proper divisors (1321901726259).

2144650440141 is a wasteful number, since it uses less digits than its factorization.

2144650440141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938446 (or 938440 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 2144650440141 in words is "two trillion, one hundred forty-four billion, six hundred fifty million, four hundred forty thousand, one hundred forty-one".

Divisors: 1 3 9 11 27 33 99 297 7759 23277 69831 85349 209493 256047 768141 930667 2304423 2792001 8376003 10237337 25128009 30712011 92136033 276408099 7221045253 21663135759 64989407277 79431497783 194968221831 238294493349 714883480047 2144650440141