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142132245444 = 22327564016847
BaseRepresentation
bin1000010001011110111…
…1011111001111000100
3111120212102220011121200
42010113233133033010
54312041323323234
6145143351142500
713161112103220
oct2042757371704
9446772804550
10142132245444
1155306a46762
1223667974a30
131053155cba7
146c448ad780
153a6d007d99
hex2117bdf3c4

142132245444 has 36 divisors (see below), whose sum is σ = 410604265344. Its totient is φ = 40609212912.

The previous prime is 142132245379. The next prime is 142132245461. The reversal of 142132245444 is 444542231241.

142132245444 is a `hidden beast` number, since 1 + 42 + 132 + 2 + 45 + 444 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 142132245399 and 142132245408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282008172 + ... + 282008675.

Almost surely, 2142132245444 is an apocalyptic number.

142132245444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

142132245444 is an abundant number, since it is smaller than the sum of its proper divisors (268472019900).

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

142132245444 is a wasteful number, since it uses less digits than its factorization.

142132245444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564016864 (or 564016859 counting only the distinct ones).

The product of its digits is 122880, while the sum is 36.

Adding to 142132245444 its reverse (444542231241), we get a palindrome (586674476685).

The spelling of 142132245444 in words is "one hundred forty-two billion, one hundred thirty-two million, two hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 564016847 1128033694 1692050541 2256067388 3384101082 3948117929 5076151623 6768202164 7896235858 10152303246 11844353787 15792471716 20304606492 23688707574 35533061361 47377415148 71066122722 142132245444