Search a number
-
+
114051116564 = 22711438611531
BaseRepresentation
bin110101000110111111…
…0011110111000010100
3101220101102022000120022
41222031332132320110
53332034041212224
6124221103124312
711145202331630
oct1521576367024
9356342260508
10114051116564
1144406977a30
121a12b5a3698
13a9a78a7cb8
14573d241dc0
152e77ab865e
hex1a8df9ee14

114051116564 has 48 divisors (see below), whose sum is σ = 254625778176. Its totient is φ = 43402111200.

The previous prime is 114051116551. The next prime is 114051116639. The reversal of 114051116564 is 465611150411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4292522 + ... + 4319009.

It is an arithmetic number, because the mean of its divisors is an integer number (5304703712).

Almost surely, 2114051116564 is an apocalyptic number.

114051116564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114051116564 is an abundant number, since it is smaller than the sum of its proper divisors (140574661612).

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

114051116564 is a wasteful number, since it uses less digits than its factorization.

114051116564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8611596 (or 8611594 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 35.

Adding to 114051116564 its reverse (465611150411), we get a palindrome (579662266975).

The spelling of 114051116564 in words is "one hundred fourteen billion, fifty-one million, one hundred sixteen thousand, five hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 43 44 77 86 154 172 301 308 473 602 946 1204 1892 3311 6622 13244 8611531 17223062 34446124 60280717 94726841 120561434 189453682 241122868 370295833 378907364 663087887 740591666 1326175774 1481183332 2592070831 2652351548 4073254163 5184141662 8146508326 10368283324 16293016652 28512779141 57025558282 114051116564