Search a number
-
+
130141444041 = 337688579069
BaseRepresentation
bin111100100110100001…
…0001101011111001001
3110102220210002100101000
41321031002031133021
54113012202202131
6135441450445213
712255012010440
oct1711502153711
9412823070330
10130141444041
11502134a8134
1221280133809
13c37029922b
1464281a7d57
1535ba4a2ce6
hex1e4d08d7c9

130141444041 has 16 divisors (see below), whose sum is σ = 220345302400. Its totient is φ = 74366539344.

The previous prime is 130141444039. The next prime is 130141444057. The reversal of 130141444041 is 140444141031.

It is not a de Polignac number, because 130141444041 - 21 = 130141444039 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130141443996 and 130141444014.

It is not an unprimeable number, because it can be changed into a prime (130141424041) 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 15 ways as a sum of consecutive naturals, for example, 344289346 + ... + 344289723.

It is an arithmetic number, because the mean of its divisors is an integer number (13771581400).

Almost surely, 2130141444041 is an apocalyptic number.

It is an amenable number.

130141444041 is a deficient number, since it is larger than the sum of its proper divisors (90203858359).

130141444041 is an equidigital number, since it uses as much as digits as its factorization.

130141444041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688579085 (or 688579079 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 130141444041 its reverse (140444141031), we get a palindrome (270585585072).

The spelling of 130141444041 in words is "one hundred thirty billion, one hundred forty-one million, four hundred forty-four thousand, forty-one".

Divisors: 1 3 7 9 21 27 63 189 688579069 2065737207 4820053483 6197211621 14460160449 18591634863 43380481347 130141444041