Search a number
-
+
1000432314141 = 31337798775953
BaseRepresentation
bin11101000111011100110…
…10011010011100011101
310112122021211220020222220
432203232122122130131
5112342341133023031
62043331532255553
7132164434235061
oct16435632323435
93478254806886
101000432314141
1135630aa61a07
12141a829115b9
1373456a12520
14365c7a1daa1
151b0546ae596
hexe8ee69a71d

1000432314141 has 32 divisors (see below), whose sum is σ = 1494018408960. Its totient is φ = 591428957184.

The previous prime is 1000432314131. The next prime is 1000432314149. The reversal of 1000432314141 is 1414132340001.

It is not a de Polignac number, because 1000432314141 - 210 = 1000432313117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000432314149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4273980 + ... + 4501973.

It is an arithmetic number, because the mean of its divisors is an integer number (46688075280).

Almost surely, 21000432314141 is an apocalyptic number.

It is an amenable number.

1000432314141 is a deficient number, since it is larger than the sum of its proper divisors (493586094819).

1000432314141 is a wasteful number, since it uses less digits than its factorization.

1000432314141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776085.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1000432314141 its reverse (1414132340001), we get a palindrome (2414564654142).

The spelling of 1000432314141 in words is "one trillion, four hundred thirty-two million, three hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 13 37 39 79 111 237 481 1027 1443 2923 3081 8769 37999 113997 8775953 26327859 114087389 324710261 342262167 693300287 974130783 2079900861 4221233393 9012903731 12663700179 25652110619 27038711193 76956331857 333477438047 1000432314141