Search a number
-
+
4041383395959 = 3371319617319441
BaseRepresentation
bin111010110011110101001…
…110001100001001110111
3112022100111221212000221000
4322303311032030021313
51012203223122132314
612332330315454343
7564660151033230
oct72636516141167
915270457760830
104041383395959
111318a39628558
125532b71573b3
13234140664c90
14dd86553a087
15701d4157209
hex3acf538c277

4041383395959 has 256 divisors, whose sum is σ = 7992310681600. Its totient is φ = 1959104102400.

The previous prime is 4041383395891. The next prime is 4041383395981. The reversal of 4041383395959 is 9595933831404.

4041383395959 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 3 + 8 + 3 + 39 + 595 + 9 = 666.

4041383395959 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4041383395959 - 29 = 4041383395447 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 4041383395896 and 4041383395905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4041383395559) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 207869679 + ... + 207889119.

It is an arithmetic number, because the mean of its divisors is an integer number (31219963600).

Almost surely, 24041383395959 is an apocalyptic number.

4041383395959 is a deficient number, since it is larger than the sum of its proper divisors (3950927285641).

4041383395959 is a wasteful number, since it uses less digits than its factorization.

4041383395959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19623 (or 19617 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 4041383395959 in words is "four trillion, forty-one billion, three hundred eighty-three million, three hundred ninety-five thousand, nine hundred fifty-nine".