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142640671684 = 22725325092
BaseRepresentation
bin1000010011011000001…
…0111110101111000100
3111122011212120220022011
42010312002332233010
54314112002443214
6145310032344004
713206524463400
oct2046602765704
9448155526264
10142640671684
1155547a38935
122378a0a5004
13105b29a5414
146c9221a100
153a9c987ac4
hex21360bebc4

142640671684 has 81 divisors (see below), whose sum is σ = 296540404167. Its totient is φ = 59860452288.

The previous prime is 142640671673. The next prime is 142640671711. The reversal of 142640671684 is 486176046241.

The square root of 142640671684 is 377678.

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

It can be written as a sum of positive squares in 4 ways, for example, as 41180584900 + 101460086784 = 202930^2 + 318528^2 .

It is a super-2 number, since 2×1426406716842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 280236822 + ... + 280237330.

Almost surely, 2142640671684 is an apocalyptic number.

142640671684 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

142640671684 is the 377678-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142640671684

142640671684 is an abundant number, since it is smaller than the sum of its proper divisors (153899732483).

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

142640671684 is an frugal number, since it uses more digits than its factorization.

142640671684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

Multiplying 142640671684 by its sum of digits (49), we get a square (6989392912516 = 26437462).

142640671684 divided by its sum of digits (49) gives a square (2911034116 = 539542).

The spelling of 142640671684 in words is "one hundred forty-two billion, six hundred forty million, six hundred seventy-one thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 509 742 1018 1484 2036 2597 2809 3563 5194 5618 7126 10388 11236 14252 19663 24941 26977 39326 49882 53954 78652 99764 107908 137641 188839 259081 275282 377678 518162 550564 755356 1036324 1321873 1429781 1813567 2643746 2859562 3627134 5287492 5719124 7254268 10008467 12694969 13731293 20016934 25389938 27462586 40033868 50779876 54925172 70059269 96119051 140118538 192238102 280237076 384476204 672833357 727758529 1345666714 1455517058 2691333428 2911034116 5094309703 10188619406 20377238812 35660167921 71320335842 142640671684