Search a number
-
+
114335340544 = 2114312710223
BaseRepresentation
bin110101001111011101…
…0101101100000000000
3101221010020010002120101
41222132322231200000
53333124321344134
6124305215052144
711155223234155
oct1523672554000
9357106102511
10114335340544
1144542356687
121a1aa811054
13aa21741179
145768caa22c
152e92a0ce14
hex1a9eead800

114335340544 has 96 divisors (see below), whose sum is σ = 235796520960. Its totient is φ = 55393099776.

The previous prime is 114335340487. The next prime is 114335340551. The reversal of 114335340544 is 445043533411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11179017 + ... + 11189239.

It is an arithmetic number, because the mean of its divisors is an integer number (2456213760).

Almost surely, 2114335340544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114335340544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117898260480).

114335340544 is an abundant number, since it is smaller than the sum of its proper divisors (121461180416).

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

114335340544 is a wasteful number, since it uses less digits than its factorization.

114335340544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10415 (or 10395 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

Adding to 114335340544 its reverse (445043533411), we get a palindrome (559378873955).

The spelling of 114335340544 in words is "one hundred fourteen billion, three hundred thirty-five million, three hundred forty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 127 128 172 254 256 344 508 512 688 1016 1024 1376 2032 2048 2752 4064 5461 5504 8128 10223 10922 11008 16256 20446 21844 22016 32512 40892 43688 44032 65024 81784 87376 88064 130048 163568 174752 260096 327136 349504 439589 654272 699008 879178 1298321 1308544 1398016 1758356 2596642 2617088 2796032 3516712 5193284 5234176 5592064 7033424 10386568 10468352 11184128 14066848 20773136 20936704 28133696 41546272 55827803 56267392 83092544 111655606 112534784 166185088 223311212 225069568 332370176 446622424 450139136 664740352 893244848 900278272 1329480704 1786489696 2658961408 3572979392 7145958784 14291917568 28583835136 57167670272 114335340544