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142120124736 = 263757977819
BaseRepresentation
bin1000010001011100000…
…1010000000101000000
3111120211121002101010120
42010113001100011000
54312030222442421
6145142235300240
713160604061662
oct2042701200500
9446747071116
10142120124736
1155300118247
12236638aa680
131052bba7c85
146c43036532
153a6be118c6
hex2117050140

142120124736 has 56 divisors (see below), whose sum is σ = 376523280480. Its totient is φ = 47310746112.

The previous prime is 142120124717. The next prime is 142120124749. The reversal of 142120124736 is 637421021241.

It is a junction number, because it is equal to n+sod(n) for n = 142120124697 and 142120124706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343566 + ... + 634253.

Almost surely, 2142120124736 is an apocalyptic number.

142120124736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142120124736 is an abundant number, since it is smaller than the sum of its proper divisors (234403155744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142120124736 is an equidigital number, since it uses as much as digits as its factorization.

142120124736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978591 (or 978581 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

Adding to 142120124736 its reverse (637421021241), we get a palindrome (779541145977).

The spelling of 142120124736 in words is "one hundred forty-two billion, one hundred twenty million, one hundred twenty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 757 1514 2271 3028 4542 6056 9084 12112 18168 24224 36336 48448 72672 145344 977819 1955638 2933457 3911276 5866914 7822552 11733828 15645104 23467656 31290208 46935312 62580416 93870624 187741248 740208983 1480417966 2220626949 2960835932 4441253898 5921671864 8882507796 11843343728 17765015592 23686687456 35530031184 47373374912 71060062368 142120124736