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142046260011 = 3459672711637
BaseRepresentation
bin1000010001001010011…
…1011110101100101011
3111120122110002122210000
42010102213132230223
54311402320310021
6145131040154043
713156016200635
oct2042247365453
9446573078700
10142046260011
1155272457617
1223643008923
13105197b5336
146c372c9a55
153a656c0b26
hex21129deb2b

142046260011 has 80 divisors (see below), whose sum is σ = 219952212480. Its totient is φ = 91308824640.

The previous prime is 142046260003. The next prime is 142046260063. The reversal of 142046260011 is 110062640241.

142046260011 is a `hidden beast` number, since 1 + 4 + 2 + 0 + 46 + 2 + 600 + 11 = 666.

142046260011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 142046260011 - 23 = 142046260003 is a prime.

It is a super-2 number, since 2×1420462600112 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142046260711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 86771485 + ... + 86773121.

It is an arithmetic number, because the mean of its divisors is an integer number (2749402656).

Almost surely, 2142046260011 is an apocalyptic number.

142046260011 is a deficient number, since it is larger than the sum of its proper divisors (77905952469).

142046260011 is a wasteful number, since it uses less digits than its factorization.

142046260011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2046 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 142046260011 in words is "one hundred forty-two billion, forty-six million, two hundred sixty thousand, eleven".

Divisors: 1 3 9 27 59 67 81 177 201 271 531 603 813 1593 1637 1809 2439 3953 4779 4911 5427 7317 11859 14733 15989 18157 21951 35577 44199 47967 54471 96583 106731 109679 132597 143901 163413 289749 320193 329037 431703 443627 490239 869247 987111 1071263 1295109 1330881 1470717 2607741 2961333 3213789 3992643 6471061 7823223 8883999 9641367 11977929 19413183 26173993 28924101 29723009 35933787 58239549 78521979 86772303 89169027 174718647 235565937 267507081 524155941 706697811 802521243 1753657531 2120093433 2407563729 5260972593 15782917779 47348753337 142046260011