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142256454561 = 321321925092
BaseRepresentation
bin1000010001111100100…
…1010011101110100001
3111121012002121122111100
42010133021103232201
54312320123021221
6145203545305013
713164150625014
oct2043711235641
9447162548440
10142256454561
1155370072921
12236a1495169
13105511cb900
146c571a337b
153a78d90926
hex211f253ba1

142256454561 has 81 divisors (see below), whose sum is σ = 235293022809. Its totient is φ = 82772000064.

The previous prime is 142256454553. The next prime is 142256454577. The reversal of 142256454561 is 165454652241.

The square root of 142256454561 is 377169.

It is a perfect power (a square), and thus also a powerful number.

142256454561 is a `hidden beast` number, since 1 + 4 + 2 + 25 + 64 + 5 + 4 + 561 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 386712225 + 141869742336 = 19665^2 + 376656^2 .

It is not a de Polignac number, because 142256454561 - 23 = 142256454553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (142256454511) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 279481975 + ... + 279482483.

Almost surely, 2142256454561 is an apocalyptic number.

142256454561 is the 377169-th square number.

142256454561 is the 188585-th centered octagonal number.

It is an amenable number.

142256454561 is a deficient number, since it is larger than the sum of its proper divisors (93036568248).

142256454561 is an equidigital number, since it uses as much as digits as its factorization.

142256454561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 544 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

The spelling of 142256454561 in words is "one hundred forty-two billion, two hundred fifty-six million, four hundred fifty-four thousand, five hundred sixty-one".

Divisors: 1 3 9 13 19 39 57 117 169 171 247 361 507 509 741 1083 1521 1527 2223 3211 3249 4581 4693 6617 9633 9671 14079 19851 28899 29013 42237 59553 61009 86021 87039 125723 183027 183749 258063 259081 377169 549081 551247 774189 777243 1131507 1634399 1653741 2331729 2388737 3368053 4903197 4922539 7166211 10104159 14709591 14767617 21498633 30312477 31053581 43784689 44302851 63993007 93160743 93528241 131354067 191979021 279482229 280584723 394062201 575937063 831909091 841754169 1215867133 2495727273 3647601399 7487181819 10942804197 15806272729 47418818187 142256454561