Search a number
-
+
140234000214321 = 32131198581198413
BaseRepresentation
bin11111111000101011000101…
…110001001010100100110001
3200101112020110120221001220200
4133320223011301022210301
5121340043213023324241
61214130335455425413
741352400153220256
oct3770530561124461
9611466416831820
10140234000214321
11407569a6256722
121388a356b25269
136033017a8ca90
14268b50cbc542d
151132c1c8534b6
hex7f8ac5c4a931

140234000214321 has 12 divisors (see below), whose sum is σ = 218141778111348. Its totient is φ = 86297846285664.

The previous prime is 140234000214313. The next prime is 140234000214331. The reversal of 140234000214321 is 123412000432041.

140234000214321 is a `hidden beast` number, since 1 + 4 + 0 + 23 + 400 + 0 + 214 + 3 + 21 = 666.

140234000214321 is digitally balanced in base 4, 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 2 ways, for example, as 23322524835600 + 116911475378721 = 4829340^2 + 10812561^2 .

It is not a de Polignac number, because 140234000214321 - 23 = 140234000214313 is a prime.

It is a super-2 number, since 2×1402340002143212 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140234000214331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599290599090 + ... + 599290599323.

It is an arithmetic number, because the mean of its divisors is an integer number (18178481509279).

Almost surely, 2140234000214321 is an apocalyptic number.

It is an amenable number.

140234000214321 is a deficient number, since it is larger than the sum of its proper divisors (77907777897027).

140234000214321 is a wasteful number, since it uses less digits than its factorization.

140234000214321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198581198432 (or 1198581198429 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140234000214321 its reverse (123412000432041), we get a palindrome (263646000646362).

The spelling of 140234000214321 in words is "one hundred forty trillion, two hundred thirty-four billion, two hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 1198581198413 3595743595239 10787230785717 15581555579369 46744666738107 140234000214321