Search a number
-
+
1141144311231 = 32150918401949
BaseRepresentation
bin10000100110110001100…
…000000101010110111111
311001002111022100100010200
4100212301200011112333
5122144030420424411
62232122350534543
7145305422413461
oct20466140052677
94032438310120
101141144311231
113aaa58239aa1
121651b2b07453
13837bcc54472
143d335a2a131
151ea3cb72e56
hex109b18055bf

1141144311231 has 12 divisors (see below), whose sum is σ = 1648428982200. Its totient is φ = 760712371920.

The previous prime is 1141144311163. The next prime is 1141144311247. The reversal of 1141144311231 is 1321134411411.

1141144311231 is a `hidden beast` number, since 1 + 1 + 4 + 114 + 4 + 311 + 231 = 666.

It is not a de Polignac number, because 1141144311231 - 229 = 1140607440319 is a prime.

It is a super-2 number, since 2×11411443112312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1141144311195 and 1141144311204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141144511231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4065156 + ... + 4336793.

It is an arithmetic number, because the mean of its divisors is an integer number (137369081850).

Almost surely, 21141144311231 is an apocalyptic number.

1141144311231 is a deficient number, since it is larger than the sum of its proper divisors (507284670969).

1141144311231 is a wasteful number, since it uses less digits than its factorization.

1141144311231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417046 (or 8417043 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

Adding to 1141144311231 its reverse (1321134411411), we get a palindrome (2462278722642).

The spelling of 1141144311231 in words is "one trillion, one hundred forty-one billion, one hundred forty-four million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 9 15091 45273 135819 8401949 25205847 75617541 126793812359 380381437077 1141144311231