Search a number
-
+
144040042114231 = 2943355272075429
BaseRepresentation
bin100000110000000011101111…
…100010110010110010110111
3200220000002112012020101220011
4200300003233202302302313
5122334423001240123411
61230203025402321051
742224356343455054
oct4060035742626267
9626002465211804
10144040042114231
11419940477259aa
12141a3b127b9187
13624abc1215643
14277d80a63c02b
15119bc2a9ebc21
hex8300ef8b2cb7

144040042114231 has 16 divisors (see below), whose sum is σ = 149378161060800. Its totient is φ = 138726787788288.

The previous prime is 144040042114187. The next prime is 144040042114279. The reversal of 144040042114231 is 132411240040441.

It is a cyclic number.

It is not a de Polignac number, because 144040042114231 - 243 = 135243949092023 is a prime.

It is a super-2 number, since 2×1440400421142312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 144040042114193 and 144040042114202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144040042114931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68364825 + ... + 70440253.

It is an arithmetic number, because the mean of its divisors is an integer number (9336135066300).

Almost surely, 2144040042114231 is an apocalyptic number.

144040042114231 is a deficient number, since it is larger than the sum of its proper divisors (5338118946569).

144040042114231 is a wasteful number, since it uses less digits than its factorization.

144040042114231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2081418.

The product of its (nonzero) digits is 12288, while the sum is 31.

Adding to 144040042114231 its reverse (132411240040441), we get a palindrome (276451282154672).

The spelling of 144040042114231 in words is "one hundred forty-four trillion, forty billion, forty-two million, one hundred fourteen thousand, two hundred thirty-one".

Divisors: 1 29 433 5527 12557 160283 2075429 2393191 60187441 69402539 898660757 11470896083 26061161953 332655986407 4966898003939 144040042114231