Search a number
-
+
4131111321144 = 233257376546127
BaseRepresentation
bin111100000111011001011…
…011000011111000111000
3112121221010020202220120100
4330013121123003320320
51020141003444234034
612441450100355400
7604314534564603
oct74073133037070
915557106686510
104131111321144
111352aa3708825
125687789a5b60
1323c73ccb5c32
14103d3825333a
15726d668e099
hex3c1d96c3e38

4131111321144 has 24 divisors (see below), whose sum is σ = 11188426494960. Its totient is φ = 1377037107024.

The previous prime is 4131111321121. The next prime is 4131111321199. The reversal of 4131111321144 is 4411231111314.

4131111321144 is a `hidden beast` number, since 4 + 1 + 311 + 11 + 321 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 5 ways as a sum of consecutive naturals, for example, 28688272992 + ... + 28688273135.

It is an arithmetic number, because the mean of its divisors is an integer number (466184437290).

Almost surely, 24131111321144 is an apocalyptic number.

It is an amenable number.

4131111321144 is an abundant number, since it is smaller than the sum of its proper divisors (7057315173816).

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

4131111321144 is a wasteful number, since it uses less digits than its factorization.

4131111321144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57376546139 (or 57376546132 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 4131111321144 its reverse (4411231111314), we get a palindrome (8542342432458).

The spelling of 4131111321144 in words is "four trillion, one hundred thirty-one billion, one hundred eleven million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57376546127 114753092254 172129638381 229506184508 344259276762 459012369016 516388915143 688518553524 1032777830286 1377037107048 2065555660572 4131111321144