Search a number
-
+
1001340131443 = 43711993594591
BaseRepresentation
bin11101001001001001000…
…01011101100001110011
310112201122010010011012221
432210210201131201303
5112401221033201233
62044002002101511
7132226066452541
oct16444441354163
93481563104187
101001340131443
11356736443543
1214209694a897
137356cb15122
1436672412d91
151b0a923242d
hexe92485d873

1001340131443 has 32 divisors (see below), whose sum is σ = 1047416832000. Its totient is φ = 956551226400.

The previous prime is 1001340131387. The next prime is 1001340131459. The reversal of 1001340131443 is 3441310431001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001340131443 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001347131443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218107078 + ... + 218111668.

It is an arithmetic number, because the mean of its divisors is an integer number (32731776000).

Almost surely, 21001340131443 is an apocalyptic number.

1001340131443 is a deficient number, since it is larger than the sum of its proper divisors (46076700557).

1001340131443 is a wasteful number, since it uses less digits than its factorization.

1001340131443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5263.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 1001340131443 its reverse (3441310431001), we get a palindrome (4442650562444).

The spelling of 1001340131443 in words is "one trillion, one billion, three hundred forty million, one hundred thirty-one thousand, four hundred forty-three".

Divisors: 1 43 71 199 359 3053 4591 8557 14129 15437 25489 71441 197413 325961 607547 913609 1096027 1648169 3071963 5072311 14016323 39285187 64866239 70871267 117019999 218109373 327985631 2789248277 5031859957 14103382133 23286979801 1001340131443