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114034044141 = 3237342444577
BaseRepresentation
bin110101000110011110…
…1010110110011101101
3101220100020011122121100
41222030331112303231
53332020203403031
6124215253153313
711144604245043
oct1521475266355
9356306148540
10114034044141
11443a8277196
121a12592b839
13a9a41ab284
14573ac7a393
152e76344de6
hex1a8cf56ced

114034044141 has 12 divisors (see below), whose sum is σ = 169167621532. Its totient is φ = 73968028416.

The previous prime is 114034044139. The next prime is 114034044149. The reversal of 114034044141 is 141440430411.

114034044141 is a `hidden beast` number, since 1 + 140 + 3 + 40 + 441 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100756091241 + 13277952900 = 317421^2 + 115230^2 .

It is not a de Polignac number, because 114034044141 - 21 = 114034044139 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114034044149) 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, 171221956 + ... + 171222621.

Almost surely, 2114034044141 is an apocalyptic number.

It is an amenable number.

114034044141 is a deficient number, since it is larger than the sum of its proper divisors (55133577391).

114034044141 is a wasteful number, since it uses less digits than its factorization.

114034044141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342444620 (or 342444617 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 114034044141 its reverse (141440430411), we get a palindrome (255474474552).

The spelling of 114034044141 in words is "one hundred fourteen billion, thirty-four million, forty-four thousand, one hundred forty-one".

Divisors: 1 3 9 37 111 333 342444577 1027333731 3082001193 12670449349 38011348047 114034044141