Search a number
-
+
114044606127 = 3361199347959
BaseRepresentation
bin110101000110110010…
…1101001011010101111
3101220100222001020221000
41222031211221122233
53332030404344002
6124220311411343
711145063105024
oct1521545513257
9356328036830
10114044606127
1144403230601
121a129383b53
13a9a643887a
14573c42954b
152e7722e61c
hex1a8d9696af

114044606127 has 32 divisors (see below), whose sum is σ = 172588160000. Its totient is φ = 74407338720.

The previous prime is 114044606089. The next prime is 114044606147. The reversal of 114044606127 is 721606440411.

It is a happy number.

114044606127 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 44 + 606 + 1 + 2 + 7 = 666.

It is not a de Polignac number, because 114044606127 - 27 = 114044605999 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114044606091 and 114044606100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114044606147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153774 + ... + 501732.

It is an arithmetic number, because the mean of its divisors is an integer number (5393380000).

Almost surely, 2114044606127 is an apocalyptic number.

114044606127 is a deficient number, since it is larger than the sum of its proper divisors (58543553873).

114044606127 is a wasteful number, since it uses less digits than its factorization.

114044606127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348228 (or 348222 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 114044606127 in words is "one hundred fourteen billion, forty-four million, six hundred six thousand, one hundred twenty-seven".

Divisors: 1 3 9 27 61 183 199 549 597 1647 1791 5373 12139 36417 109251 327753 347959 1043877 3131631 9394893 21225499 63676497 69243841 191029491 207731523 573088473 623194569 1869583707 4223874301 12671622903 38014868709 114044606127