Search a number
-
+
114214132044 = 223223211653743
BaseRepresentation
bin110101001011110110…
…0010101100101001100
3101220210210001001202200
41222113230111211030
53332402304211134
6124245205121500
711152222050465
oct1522754254514
9356723031680
10114214132044
114448a999971
121a1760b9290
13aa025b316c
145756b57d6c
152e87069499
hex1a97b1594c

114214132044 has 72 divisors (see below), whose sum is σ = 302688701952. Its totient is φ = 36243456480.

The previous prime is 114214132031. The next prime is 114214132057. The reversal of 114214132044 is 440231412411.

114214132044 is a `hidden beast` number, since 1 + 1 + 42 + 1 + 413 + 204 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (114214132031) and next prime (114214132057).

It is a junction number, because it is equal to n+sod(n) for n = 114214131999 and 114214132017.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 152164 + ... + 501579.

Almost surely, 2114214132044 is an apocalyptic number.

It is an amenable number.

114214132044 is an abundant number, since it is smaller than the sum of its proper divisors (188474569908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

114214132044 is a wasteful number, since it uses less digits than its factorization.

114214132044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653987 (or 653982 counting only the distinct ones).

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

Adding to 114214132044 its reverse (440231412411), we get a palindrome (554445544455).

The spelling of 114214132044 in words is "one hundred fourteen billion, two hundred fourteen million, one hundred thirty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 211 276 414 422 633 828 844 1266 1899 2532 3798 4853 7596 9706 14559 19412 29118 43677 58236 87354 174708 653743 1307486 1961229 2614972 3922458 5883687 7844916 11767374 15036089 23534748 30072178 45108267 60144356 90216534 135324801 137939773 180433068 270649602 275879546 413819319 541299204 551759092 827638638 1241457957 1655277276 2482915914 3172614779 4965831828 6345229558 9517844337 12690459116 19035688674 28553533011 38071377348 57107066022 114214132044