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4020137441 = 172910180737
BaseRepresentation
bin1110111110011110…
…0110110111100001
3101101011121010211022
43233213212313201
531213123344231
61502525255225
7201423414215
oct35747466741
911334533738
104020137441
111783298841
12942404515
134c0b52568
142a1cb6945
15187e01c7b
hexef9e6de1

4020137441 has 16 divisors (see below), whose sum is σ = 4447049040. Its totient is φ = 3616972800.

The previous prime is 4020137423. The next prime is 4020137449. The reversal of 4020137441 is 1447310204.

It can be written as a sum of positive squares in 8 ways, for example, as 2124841216 + 1895296225 = 46096^2 + 43535^2 .

It is a de Polignac number, because none of the positive numbers 2k-4020137441 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 4020137441.

It is not an unprimeable number, because it can be changed into a prime (4020137449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9425 + ... + 90161.

It is an arithmetic number, because the mean of its divisors is an integer number (277940565).

Almost surely, 24020137441 is an apocalyptic number.

It is an amenable number.

4020137441 is a deficient number, since it is larger than the sum of its proper divisors (426911599).

4020137441 is a wasteful number, since it uses less digits than its factorization.

4020137441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80884.

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 4020137441 is about 63404.5537875632. The cubic root of 4020137441 is about 1590.0604437552.

Adding to 4020137441 its reverse (1447310204), we get a palindrome (5467447645).

The spelling of 4020137441 in words is "four billion, twenty million, one hundred thirty-seven thousand, four hundred forty-one".

Divisors: 1 17 29 101 493 1717 2929 49793 80737 1372529 2341373 8154437 39803341 138625429 236478673 4020137441