Search a number
-
+
1040432141 = 72831092347
BaseRepresentation
bin111110000000111…
…011110000001101
32200111202102120202
4332000323300031
54112322312031
6251124023245
734532345600
oct7600736015
92614672522
101040432141
1149432a081
12250531b25
13137725628
149c274337
156151b2cb
hex3e03bc0d

1040432141 has 24 divisors (see below), whose sum is σ = 1236644640. Its totient is φ = 872599392.

The previous prime is 1040432131. The next prime is 1040432179. The reversal of 1040432141 is 1412340401.

1040432141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-1040432141 is a prime.

It is a super-3 number, since 3×10404321413 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040432131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442130 + ... + 444476.

It is an arithmetic number, because the mean of its divisors is an integer number (51526860).

Almost surely, 21040432141 is an apocalyptic number.

It is an amenable number.

1040432141 is a deficient number, since it is larger than the sum of its proper divisors (196212499).

1040432141 is a wasteful number, since it uses less digits than its factorization.

1040432141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2546 counting only the distinct ones).

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

The square root of 1040432141 is about 32255.7303591160. The cubic root of 1040432141 is about 1013.2997137849.

Adding to 1040432141 its reverse (1412340401), we get a palindrome (2452772542).

The spelling of 1040432141 in words is "one billion, forty million, four hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 7 49 83 109 581 763 2347 4067 5341 9047 16429 63329 115003 194801 255823 443303 1363607 1790761 9545249 12535327 21233309 148633163 1040432141