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142012323140 = 225292293106781
BaseRepresentation
bin1000010001000010011…
…0000001010101000100
3111120120002020111010212
42010100212001111010
54311320123320030
6145123424534552
713155124554422
oct2042046012504
9446502214125
10142012323140
1155255288316
1223633781458
131051276244c
146c329b4112
153a6271a595
hex2110981544

142012323140 has 48 divisors (see below), whose sum is σ = 308646964080. Its totient is φ = 54821706240.

The previous prime is 142012323137. The next prime is 142012323149. The reversal of 142012323140 is 41323210241.

It can be written as a sum of positive squares in 8 ways, for example, as 2082461956 + 139929861184 = 45634^2 + 374072^2 .

It is not an unprimeable number, because it can be changed into a prime (142012323149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1276550 + ... + 1383330.

It is an arithmetic number, because the mean of its divisors is an integer number (6430145085).

Almost surely, 2142012323140 is an apocalyptic number.

142012323140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142012323140 is an abundant number, since it is smaller than the sum of its proper divisors (166634640940).

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

142012323140 is a wasteful number, since it uses less digits than its factorization.

142012323140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109112 (or 109110 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 142012323140 its reverse (41323210241), we get a palindrome (183335533381).

The spelling of 142012323140 in words is "one hundred forty-two billion, twelve million, three hundred twenty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2293 4586 9172 11465 22930 45860 66497 106781 132994 213562 265988 332485 427124 533905 664970 1067810 1329940 2135620 3096649 6193298 12386596 15483245 30966490 61932980 244848833 489697666 979395332 1224244165 2448488330 4896976660 7100616157 14201232314 28402464628 35503080785 71006161570 142012323140