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142054514334 = 232171935968059
BaseRepresentation
bin1000010001001100011…
…0111101111010011110
3111120200000122000120200
42010103012331322132
54311411423424314
6145131533124330
713156146310005
oct2042306757236
9446600560520
10142054514334
1155277085177
12236459296a6
131051b415455
146c38437c3c
153a662a1709
hex21131bde9e

142054514334 has 96 divisors (see below), whose sum is σ = 344002464000. Its totient is φ = 42102312192.

The previous prime is 142054514333. The next prime is 142054514369. The reversal of 142054514334 is 433415450241.

142054514334 is a `hidden beast` number, since 1 + 42 + 0 + 545 + 1 + 43 + 34 = 666.

It is a super-2 number, since 2×1420545143342 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142054514333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053197 + ... + 2121255.

It is an arithmetic number, because the mean of its divisors is an integer number (3583359000).

Almost surely, 2142054514334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142054514334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172001232000).

142054514334 is an abundant number, since it is smaller than the sum of its proper divisors (201947949666).

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

142054514334 is a wasteful number, since it uses less digits than its factorization.

142054514334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68462 (or 68459 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 142054514334 its reverse (433415450241), we get a palindrome (575469964575).

The spelling of 142054514334 in words is "one hundred forty-two billion, fifty-four million, five hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 19 34 38 51 57 102 114 153 171 306 323 342 359 646 718 969 1077 1938 2154 2907 3231 5814 6103 6462 6821 12206 13642 18309 20463 36618 40926 54927 61389 68059 109854 115957 122778 136118 204177 231914 347871 408354 612531 695742 1043613 1157003 1225062 1293121 2087226 2314006 2586242 3471009 3879363 6942018 7758726 10413027 11638089 20826054 21983057 23276178 24433181 43966114 48866362 65949171 73299543 131898342 146599086 197847513 219898629 395695026 415364077 439797258 464230439 830728154 928460878 1246092231 1392691317 2492184462 2785382634 3738276693 4178073951 7476553386 7891917463 8356147902 15783834926 23675752389 47351504778 71027257167 142054514334