Search a number
-
+
42041431000 = 235342041431
BaseRepresentation
bin100111001001110111…
…010101001111011000
311000111221100222101001
4213021313111033120
51142100101243000
631151421434344
73015553160452
oct471167251730
9130457328331
1042041431000
11169143233a8
12819370b9b4
133c6cca48ba
14206b76d2d2
151160d3046a
hex9c9dd53d8

42041431000 has 32 divisors (see below), whose sum is σ = 98376950880. Its totient is φ = 16816572000.

The previous prime is 42041430979. The next prime is 42041431013. The reversal of 42041431000 is 13414024.

It is a super-2 number, since 2×420414310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21019716 + ... + 21021715.

It is an arithmetic number, because the mean of its divisors is an integer number (3074279715).

Almost surely, 242041431000 is an apocalyptic number.

42041431000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42041431000 is an abundant number, since it is smaller than the sum of its proper divisors (56335519880).

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

42041431000 is a wasteful number, since it uses less digits than its factorization.

42041431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42041452 (or 42041438 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 42041431000 its reverse (13414024), we get a palindrome (42054845024).

It can be divided in two parts, 4204 and 1431000, that added together give a square (1435204 = 11982).

The spelling of 42041431000 in words is "forty-two billion, forty-one million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 42041431 84082862 168165724 210207155 336331448 420414310 840828620 1051035775 1681657240 2102071550 4204143100 5255178875 8408286200 10510357750 21020715500 42041431000