Search a number
-
+
142431145502013 = 321733533991151
BaseRepresentation
bin100000011000101001010101…
…110101010010010100111101
3200200022021200102102012021200
4200120221111311102110331
5122132042441222031023
61222531544232250113
742000211364062044
oct4030512565222475
9620267612365250
10142431145502013
1141423789511035
1213b8413a540939
13616227909ab24
1427259c056d55b
15116ee6335e743
hex818a55d5253d

142431145502013 has 48 divisors (see below), whose sum is σ = 218598210604800. Its totient is φ = 89365052572800.

The previous prime is 142431145501973. The next prime is 142431145502027. The reversal of 142431145502013 is 310205541134241.

142431145502013 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 3 + 1 + 145 + 502 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 142431145502013 - 218 = 142431145239869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142431145500013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1562538988 + ... + 1562630138.

It is an arithmetic number, because the mean of its divisors is an integer number (4554129387600).

Almost surely, 2142431145502013 is an apocalyptic number.

It is an amenable number.

142431145502013 is a deficient number, since it is larger than the sum of its proper divisors (76167065102787).

142431145502013 is an equidigital number, since it uses as much as digits as its factorization.

142431145502013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126547 (or 126510 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 142431145502013 its reverse (310205541134241), we get a palindrome (452636686636254).

The spelling of 142431145502013 in words is "one hundred forty-two trillion, four hundred thirty-one billion, one hundred forty-five million, five hundred two thousand, thirteen".

Divisors: 1 3 9 17 51 153 289 867 2601 4913 14739 35339 44217 91151 106017 273453 318051 600763 820359 1549567 1802289 4648701 5406867 10212971 13946103 26342639 30638913 79027917 91916739 173620507 237083751 447824863 520861521 1343474589 1562584563 3221185189 4030423767 9663555567 28990666701 54760148213 164280444639 492841333917 930922519621 2792767558863 8378302676589 15825682833557 47477048500671 142431145502013