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13142684683701 = 323898353449417
BaseRepresentation
bin1011111101000000010100…
…0011010100110110110101
31201112102120021220110201100
42333100011003110312311
53210312204234334301
643541355504320313
72524345656403026
oct277200503246665
951472507813640
1013142684683701
1142078659694a1
121583182613099
13744471800541
1433617601ac4d
1517bd10e15286
hexbf4050d4db5

13142684683701 has 24 divisors (see below), whose sum is σ = 19035000518040. Its totient is φ = 8738200221696.

The previous prime is 13142684683673. The next prime is 13142684683741. The reversal of 13142684683701 is 10738648624131.

13142684683701 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 268 + 4 + 6 + 8 + 370 + 1 = 666.

13142684683701 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1370924676 + 13141313759025 = 37026^2 + 3625095^2 .

It is not a de Polignac number, because 13142684683701 - 27 = 13142684683573 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13142684683741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29019145 + ... + 29468561.

It is an arithmetic number, because the mean of its divisors is an integer number (793125021585).

Almost surely, 213142684683701 is an apocalyptic number.

It is an amenable number.

13142684683701 is a deficient number, since it is larger than the sum of its proper divisors (5892315834339).

13142684683701 is a wasteful number, since it uses less digits than its factorization.

13142684683701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458165 (or 458162 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13142684683701 in words is "thirteen trillion, one hundred forty-two billion, six hundred eighty-four million, six hundred eighty-three thousand, seven hundred one".

Divisors: 1 3 9 389 1167 3501 8353 25059 75177 449417 1348251 3249317 4044753 9747951 29243853 174823213 524469639 1573408917 3753980201 11261940603 33785821809 1460298298189 4380894894567 13142684683701