Search a number
-
+
4131001424 = 2411208111279
BaseRepresentation
bin1111011000111010…
…0001010001010000
3101122220012121121202
43312032201101100
531430014021144
61521525410332
7204240634634
oct36616412120
911586177552
104131001424
11182a92a570
129735699a8
1350aacac54
142b28d4dc4
15192a0064e
hexf63a1450

4131001424 has 40 divisors (see below), whose sum is σ = 8736405120. Its totient is φ = 1876659200.

The previous prime is 4131001397. The next prime is 4131001429. The reversal of 4131001424 is 4241001314.

It is a junction number, because it is equal to n+sod(n) for n = 4131001396 and 4131001405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4131001429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360617 + ... + 371895.

It is an arithmetic number, because the mean of its divisors is an integer number (218410128).

Almost surely, 24131001424 is an apocalyptic number.

4131001424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4131001424 is an abundant number, since it is smaller than the sum of its proper divisors (4605403696).

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

4131001424 is a wasteful number, since it uses less digits than its factorization.

4131001424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13379 (or 13373 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 4131001424 is about 64272.8669346560. The cubic root of 4131001424 is about 1604.5445567397.

Adding to 4131001424 its reverse (4241001314), we get a palindrome (8372002738).

The spelling of 4131001424 in words is "four billion, one hundred thirty-one million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 2081 4162 8324 11279 16648 22558 22891 33296 45116 45782 90232 91564 124069 180464 183128 248138 366256 496276 992552 1985104 23471599 46943198 93886396 187772792 258187589 375545584 516375178 1032750356 2065500712 4131001424